% domain size: 4 fof(interp, fi_domain, ![X] : (X = 0 | X = 1 | X = 2 | X = 3)). fof(interp, fi_predicates, ~abstraction(0, 0) & abstraction(0, 1) & ~abstraction(0, 2) & ~abstraction(0, 3) & ~abstraction(1, 0) & abstraction(1, 1) & ~abstraction(1, 2) & ~abstraction(1, 3) & ~abstraction(2, 0) & abstraction(2, 1) & ~abstraction(2, 2) & ~abstraction(2, 3) & ~abstraction(3, 0) & abstraction(3, 1) & ~abstraction(3, 2) & ~abstraction(3, 3)). fof(interp, fi_predicates, ~act(0, 0) & ~act(0, 1) & ~act(0, 2) & act(0, 3) & ~act(1, 0) & ~act(1, 1) & ~act(1, 2) & act(1, 3) & ~act(2, 0) & ~act(2, 1) & ~act(2, 2) & act(2, 3) & ~act(3, 0) & ~act(3, 1) & ~act(3, 2) & act(3, 3)). fof(interp, fi_predicates, actual_world(0) & actual_world(1) & actual_world(2) & actual_world(3)). fof(interp, fi_predicates, ~agent(0, 0, 0) & ~agent(0, 0, 1) & ~agent(0, 0, 2) & ~agent(0, 0, 3) & ~agent(0, 1, 0) & ~agent(0, 1, 1) & ~agent(0, 1, 2) & ~agent(0, 1, 3) & ~agent(0, 2, 0) & ~agent(0, 2, 1) & ~agent(0, 2, 2) & ~agent(0, 2, 3) & agent(0, 3, 0) & ~agent(0, 3, 1) & ~agent(0, 3, 2) & ~agent(0, 3, 3) & ~agent(1, 0, 0) & ~agent(1, 0, 1) & ~agent(1, 0, 2) & ~agent(1, 0, 3) & ~agent(1, 1, 0) & ~agent(1, 1, 1) & ~agent(1, 1, 2) & ~agent(1, 1, 3) & ~agent(1, 2, 0) & ~agent(1, 2, 1) & ~agent(1, 2, 2) & ~agent(1, 2, 3) & agent(1, 3, 0) & ~agent(1, 3, 1) & ~agent(1, 3, 2) & ~agent(1, 3, 3) & ~agent(2, 0, 0) & ~agent(2, 0, 1) & ~agent(2, 0, 2) & ~agent(2, 0, 3) & ~agent(2, 1, 0) & ~agent(2, 1, 1) & ~agent(2, 1, 2) & ~agent(2, 1, 3) & ~agent(2, 2, 0) & ~agent(2, 2, 1) & ~agent(2, 2, 2) & ~agent(2, 2, 3) & agent(2, 3, 0) & ~agent(2, 3, 1) & ~agent(2, 3, 2) & ~agent(2, 3, 3) & ~agent(3, 0, 0) & ~agent(3, 0, 1) & ~agent(3, 0, 2) & ~agent(3, 0, 3) & ~agent(3, 1, 0) & ~agent(3, 1, 1) & ~agent(3, 1, 2) & ~agent(3, 1, 3) & ~agent(3, 2, 0) & ~agent(3, 2, 1) & ~agent(3, 2, 2) & ~agent(3, 2, 3) & agent(3, 3, 0) & ~agent(3, 3, 1) & ~agent(3, 3, 2) & ~agent(3, 3, 3)). fof(interp, fi_predicates, animate(0, 0) & ~animate(0, 1) & ~animate(0, 2) & ~animate(0, 3) & animate(1, 0) & ~animate(1, 1) & ~animate(1, 2) & ~animate(1, 3) & animate(2, 0) & ~animate(2, 1) & ~animate(2, 2) & ~animate(2, 3) & animate(3, 0) & ~animate(3, 1) & ~animate(3, 2) & ~animate(3, 3)). fof(interp, fi_predicates, ~beverage(0, 0) & ~beverage(0, 1) & beverage(0, 2) & ~beverage(0, 3) & ~beverage(1, 0) & ~beverage(1, 1) & beverage(1, 2) & ~beverage(1, 3) & ~beverage(2, 0) & ~beverage(2, 1) & beverage(2, 2) & ~beverage(2, 3) & ~beverage(3, 0) & ~beverage(3, 1) & beverage(3, 2) & ~beverage(3, 3)). fof(interp, fi_predicates, entity(0, 0) & ~entity(0, 1) & entity(0, 2) & ~entity(0, 3) & entity(1, 0) & ~entity(1, 1) & entity(1, 2) & ~entity(1, 3) & entity(2, 0) & ~entity(2, 1) & entity(2, 2) & ~entity(2, 3) & entity(3, 0) & ~entity(3, 1) & entity(3, 2) & ~entity(3, 3)). fof(interp, fi_functors, esk1_0 = 0). fof(interp, fi_functors, esk2_0 = 0). fof(interp, fi_functors, esk3_0 = 1). fof(interp, fi_functors, esk4_0 = 2). fof(interp, fi_functors, esk5_0 = 3). fof(interp, fi_predicates, ~event(0, 0) & ~event(0, 1) & ~event(0, 2) & event(0, 3) & ~event(1, 0) & ~event(1, 1) & ~event(1, 2) & event(1, 3) & ~event(2, 0) & ~event(2, 1) & ~event(2, 2) & event(2, 3) & ~event(3, 0) & ~event(3, 1) & ~event(3, 2) & event(3, 3)). fof(interp, fi_predicates, ~eventuality(0, 0) & ~eventuality(0, 1) & ~eventuality(0, 2) & eventuality(0, 3) & ~eventuality(1, 0) & ~eventuality(1, 1) & ~eventuality(1, 2) & eventuality(1, 3) & ~eventuality(2, 0) & ~eventuality(2, 1) & ~eventuality(2, 2) & eventuality(2, 3) & ~eventuality(3, 0) & ~eventuality(3, 1) & ~eventuality(3, 2) & eventuality(3, 3)). fof(interp, fi_predicates, existent(0, 0) & ~existent(0, 1) & existent(0, 2) & ~existent(0, 3) & existent(1, 0) & ~existent(1, 1) & existent(1, 2) & ~existent(1, 3) & existent(2, 0) & ~existent(2, 1) & existent(2, 2) & ~existent(2, 3) & existent(3, 0) & ~existent(3, 1) & existent(3, 2) & ~existent(3, 3)). fof(interp, fi_predicates, female(0, 0) & ~female(0, 1) & ~female(0, 2) & ~female(0, 3) & female(1, 0) & ~female(1, 1) & ~female(1, 2) & ~female(1, 3) & female(2, 0) & ~female(2, 1) & ~female(2, 2) & ~female(2, 3) & female(3, 0) & ~female(3, 1) & ~female(3, 2) & ~female(3, 3)). fof(interp, fi_predicates, ~food(0, 0) & ~food(0, 1) & food(0, 2) & ~food(0, 3) & ~food(1, 0) & ~food(1, 1) & food(1, 2) & ~food(1, 3) & ~food(2, 0) & ~food(2, 1) & food(2, 2) & ~food(2, 3) & ~food(3, 0) & ~food(3, 1) & food(3, 2) & ~food(3, 3)). fof(interp, fi_predicates, ~forename(0, 0) & forename(0, 1) & ~forename(0, 2) & ~forename(0, 3) & ~forename(1, 0) & forename(1, 1) & ~forename(1, 2) & ~forename(1, 3) & ~forename(2, 0) & forename(2, 1) & ~forename(2, 2) & ~forename(2, 3) & ~forename(3, 0) & forename(3, 1) & ~forename(3, 2) & ~forename(3, 3)). fof(interp, fi_predicates, ~general(0, 0) & general(0, 1) & ~general(0, 2) & ~general(0, 3) & ~general(1, 0) & general(1, 1) & ~general(1, 2) & ~general(1, 3) & ~general(2, 0) & general(2, 1) & ~general(2, 2) & ~general(2, 3) & ~general(3, 0) & general(3, 1) & ~general(3, 2) & ~general(3, 3)). fof(interp, fi_predicates, human(0, 0) & ~human(0, 1) & ~human(0, 2) & ~human(0, 3) & human(1, 0) & ~human(1, 1) & ~human(1, 2) & ~human(1, 3) & human(2, 0) & ~human(2, 1) & ~human(2, 2) & ~human(2, 3) & human(3, 0) & ~human(3, 1) & ~human(3, 2) & ~human(3, 3)). fof(interp, fi_predicates, human_person(0, 0) & ~human_person(0, 1) & ~human_person(0, 2) & ~human_person(0, 3) & human_person(1, 0) & ~human_person(1, 1) & ~human_person(1, 2) & ~human_person(1, 3) & human_person(2, 0) & ~human_person(2, 1) & ~human_person(2, 2) & ~human_person(2, 3) & human_person(3, 0) & ~human_person(3, 1) & ~human_person(3, 2) & ~human_person(3, 3)). fof(interp, fi_predicates, impartial(0, 0) & ~impartial(0, 1) & impartial(0, 2) & ~impartial(0, 3) & impartial(1, 0) & ~impartial(1, 1) & impartial(1, 2) & ~impartial(1, 3) & impartial(2, 0) & ~impartial(2, 1) & impartial(2, 2) & ~impartial(2, 3) & impartial(3, 0) & ~impartial(3, 1) & impartial(3, 2) & ~impartial(3, 3)). fof(interp, fi_predicates, living(0, 0) & ~living(0, 1) & ~living(0, 2) & ~living(0, 3) & living(1, 0) & ~living(1, 1) & ~living(1, 2) & ~living(1, 3) & living(2, 0) & ~living(2, 1) & ~living(2, 2) & ~living(2, 3) & living(3, 0) & ~living(3, 1) & ~living(3, 2) & ~living(3, 3)). fof(interp, fi_predicates, ~mia_forename(0, 0) & mia_forename(0, 1) & ~mia_forename(0, 2) & ~mia_forename(0, 3) & ~mia_forename(1, 0) & mia_forename(1, 1) & ~mia_forename(1, 2) & ~mia_forename(1, 3) & ~mia_forename(2, 0) & mia_forename(2, 1) & ~mia_forename(2, 2) & ~mia_forename(2, 3) & ~mia_forename(3, 0) & mia_forename(3, 1) & ~mia_forename(3, 2) & ~mia_forename(3, 3)). fof(interp, fi_predicates, ~nonexistent(0, 0) & ~nonexistent(0, 1) & ~nonexistent(0, 2) & nonexistent(0, 3) & ~nonexistent(1, 0) & ~nonexistent(1, 1) & ~nonexistent(1, 2) & nonexistent(1, 3) & ~nonexistent(2, 0) & ~nonexistent(2, 1) & ~nonexistent(2, 2) & nonexistent(2, 3) & ~nonexistent(3, 0) & ~nonexistent(3, 1) & ~nonexistent(3, 2) & nonexistent(3, 3)). fof(interp, fi_predicates, ~nonhuman(0, 0) & nonhuman(0, 1) & ~nonhuman(0, 2) & ~nonhuman(0, 3) & ~nonhuman(1, 0) & nonhuman(1, 1) & ~nonhuman(1, 2) & ~nonhuman(1, 3) & ~nonhuman(2, 0) & nonhuman(2, 1) & ~nonhuman(2, 2) & ~nonhuman(2, 3) & ~nonhuman(3, 0) & nonhuman(3, 1) & ~nonhuman(3, 2) & ~nonhuman(3, 3)). fof(interp, fi_predicates, ~nonliving(0, 0) & ~nonliving(0, 1) & nonliving(0, 2) & ~nonliving(0, 3) & ~nonliving(1, 0) & ~nonliving(1, 1) & nonliving(1, 2) & ~nonliving(1, 3) & ~nonliving(2, 0) & ~nonliving(2, 1) & nonliving(2, 2) & ~nonliving(2, 3) & ~nonliving(3, 0) & ~nonliving(3, 1) & nonliving(3, 2) & ~nonliving(3, 3)). fof(interp, fi_predicates, ~nonreflexive(0, 0) & ~nonreflexive(0, 1) & ~nonreflexive(0, 2) & nonreflexive(0, 3) & ~nonreflexive(1, 0) & ~nonreflexive(1, 1) & ~nonreflexive(1, 2) & nonreflexive(1, 3) & ~nonreflexive(2, 0) & ~nonreflexive(2, 1) & ~nonreflexive(2, 2) & nonreflexive(2, 3) & ~nonreflexive(3, 0) & ~nonreflexive(3, 1) & ~nonreflexive(3, 2) & nonreflexive(3, 3)). fof(interp, fi_predicates, ~object(0, 0) & ~object(0, 1) & object(0, 2) & ~object(0, 3) & ~object(1, 0) & ~object(1, 1) & object(1, 2) & ~object(1, 3) & ~object(2, 0) & ~object(2, 1) & object(2, 2) & ~object(2, 3) & ~object(3, 0) & ~object(3, 1) & object(3, 2) & ~object(3, 3)). fof(interp, fi_predicates, ~of(0, 0, 0) & ~of(0, 0, 1) & ~of(0, 0, 2) & ~of(0, 0, 3) & of(0, 1, 0) & ~of(0, 1, 1) & ~of(0, 1, 2) & ~of(0, 1, 3) & ~of(0, 2, 0) & ~of(0, 2, 1) & ~of(0, 2, 2) & ~of(0, 2, 3) & ~of(0, 3, 0) & ~of(0, 3, 1) & ~of(0, 3, 2) & ~of(0, 3, 3) & ~of(1, 0, 0) & ~of(1, 0, 1) & ~of(1, 0, 2) & ~of(1, 0, 3) & of(1, 1, 0) & ~of(1, 1, 1) & ~of(1, 1, 2) & ~of(1, 1, 3) & ~of(1, 2, 0) & ~of(1, 2, 1) & ~of(1, 2, 2) & ~of(1, 2, 3) & ~of(1, 3, 0) & ~of(1, 3, 1) & ~of(1, 3, 2) & ~of(1, 3, 3) & ~of(2, 0, 0) & ~of(2, 0, 1) & ~of(2, 0, 2) & ~of(2, 0, 3) & of(2, 1, 0) & ~of(2, 1, 1) & ~of(2, 1, 2) & ~of(2, 1, 3) & ~of(2, 2, 0) & ~of(2, 2, 1) & ~of(2, 2, 2) & ~of(2, 2, 3) & ~of(2, 3, 0) & ~of(2, 3, 1) & ~of(2, 3, 2) & ~of(2, 3, 3) & ~of(3, 0, 0) & ~of(3, 0, 1) & ~of(3, 0, 2) & ~of(3, 0, 3) & of(3, 1, 0) & ~of(3, 1, 1) & ~of(3, 1, 2) & ~of(3, 1, 3) & ~of(3, 2, 0) & ~of(3, 2, 1) & ~of(3, 2, 2) & ~of(3, 2, 3) & ~of(3, 3, 0) & ~of(3, 3, 1) & ~of(3, 3, 2) & ~of(3, 3, 3)). fof(interp, fi_predicates, ~order(0, 0) & ~order(0, 1) & ~order(0, 2) & order(0, 3) & ~order(1, 0) & ~order(1, 1) & ~order(1, 2) & order(1, 3) & ~order(2, 0) & ~order(2, 1) & ~order(2, 2) & order(2, 3) & ~order(3, 0) & ~order(3, 1) & ~order(3, 2) & order(3, 3)). fof(interp, fi_predicates, organism(0, 0) & ~organism(0, 1) & ~organism(0, 2) & ~organism(0, 3) & organism(1, 0) & ~organism(1, 1) & ~organism(1, 2) & ~organism(1, 3) & organism(2, 0) & ~organism(2, 1) & ~organism(2, 2) & ~organism(2, 3) & organism(3, 0) & ~organism(3, 1) & ~organism(3, 2) & ~organism(3, 3)). fof(interp, fi_predicates, ~past(0, 0) & ~past(0, 1) & ~past(0, 2) & past(0, 3) & ~past(1, 0) & ~past(1, 1) & ~past(1, 2) & past(1, 3) & ~past(2, 0) & ~past(2, 1) & ~past(2, 2) & past(2, 3) & ~past(3, 0) & ~past(3, 1) & ~past(3, 2) & past(3, 3)). fof(interp, fi_predicates, ~patient(0, 0, 0) & ~patient(0, 0, 1) & ~patient(0, 0, 2) & ~patient(0, 0, 3) & ~patient(0, 1, 0) & ~patient(0, 1, 1) & ~patient(0, 1, 2) & ~patient(0, 1, 3) & ~patient(0, 2, 0) & ~patient(0, 2, 1) & ~patient(0, 2, 2) & ~patient(0, 2, 3) & ~patient(0, 3, 0) & ~patient(0, 3, 1) & patient(0, 3, 2) & ~patient(0, 3, 3) & ~patient(1, 0, 0) & ~patient(1, 0, 1) & ~patient(1, 0, 2) & ~patient(1, 0, 3) & ~patient(1, 1, 0) & ~patient(1, 1, 1) & ~patient(1, 1, 2) & ~patient(1, 1, 3) & ~patient(1, 2, 0) & ~patient(1, 2, 1) & ~patient(1, 2, 2) & ~patient(1, 2, 3) & ~patient(1, 3, 0) & ~patient(1, 3, 1) & patient(1, 3, 2) & ~patient(1, 3, 3) & ~patient(2, 0, 0) & ~patient(2, 0, 1) & ~patient(2, 0, 2) & ~patient(2, 0, 3) & ~patient(2, 1, 0) & ~patient(2, 1, 1) & ~patient(2, 1, 2) & ~patient(2, 1, 3) & ~patient(2, 2, 0) & ~patient(2, 2, 1) & ~patient(2, 2, 2) & ~patient(2, 2, 3) & ~patient(2, 3, 0) & ~patient(2, 3, 1) & patient(2, 3, 2) & ~patient(2, 3, 3) & ~patient(3, 0, 0) & ~patient(3, 0, 1) & ~patient(3, 0, 2) & ~patient(3, 0, 3) & ~patient(3, 1, 0) & ~patient(3, 1, 1) & ~patient(3, 1, 2) & ~patient(3, 1, 3) & ~patient(3, 2, 0) & ~patient(3, 2, 1) & ~patient(3, 2, 2) & ~patient(3, 2, 3) & ~patient(3, 3, 0) & ~patient(3, 3, 1) & patient(3, 3, 2) & ~patient(3, 3, 3)). fof(interp, fi_predicates, ~relation(0, 0) & relation(0, 1) & ~relation(0, 2) & ~relation(0, 3) & ~relation(1, 0) & relation(1, 1) & ~relation(1, 2) & ~relation(1, 3) & ~relation(2, 0) & relation(2, 1) & ~relation(2, 2) & ~relation(2, 3) & ~relation(3, 0) & relation(3, 1) & ~relation(3, 2) & ~relation(3, 3)). fof(interp, fi_predicates, ~relname(0, 0) & relname(0, 1) & ~relname(0, 2) & ~relname(0, 3) & ~relname(1, 0) & relname(1, 1) & ~relname(1, 2) & ~relname(1, 3) & ~relname(2, 0) & relname(2, 1) & ~relname(2, 2) & ~relname(2, 3) & ~relname(3, 0) & relname(3, 1) & ~relname(3, 2) & ~relname(3, 3)). fof(interp, fi_predicates, ~shake_beverage(0, 0) & ~shake_beverage(0, 1) & shake_beverage(0, 2) & ~shake_beverage(0, 3) & ~shake_beverage(1, 0) & ~shake_beverage(1, 1) & shake_beverage(1, 2) & ~shake_beverage(1, 3) & ~shake_beverage(2, 0) & ~shake_beverage(2, 1) & shake_beverage(2, 2) & ~shake_beverage(2, 3) & ~shake_beverage(3, 0) & ~shake_beverage(3, 1) & shake_beverage(3, 2) & ~shake_beverage(3, 3)). fof(interp, fi_predicates, singleton(0, 0) & singleton(0, 1) & singleton(0, 2) & singleton(0, 3) & singleton(1, 0) & singleton(1, 1) & singleton(1, 2) & singleton(1, 3) & singleton(2, 0) & singleton(2, 1) & singleton(2, 2) & singleton(2, 3) & singleton(3, 0) & singleton(3, 1) & singleton(3, 2) & singleton(3, 3)). fof(interp, fi_predicates, specific(0, 0) & ~specific(0, 1) & specific(0, 2) & specific(0, 3) & specific(1, 0) & ~specific(1, 1) & specific(1, 2) & specific(1, 3) & specific(2, 0) & ~specific(2, 1) & specific(2, 2) & specific(2, 3) & specific(3, 0) & ~specific(3, 1) & specific(3, 2) & specific(3, 3)). fof(interp, fi_predicates, ~substance_matter(0, 0) & ~substance_matter(0, 1) & substance_matter(0, 2) & ~substance_matter(0, 3) & ~substance_matter(1, 0) & ~substance_matter(1, 1) & substance_matter(1, 2) & ~substance_matter(1, 3) & ~substance_matter(2, 0) & ~substance_matter(2, 1) & substance_matter(2, 2) & ~substance_matter(2, 3) & ~substance_matter(3, 0) & ~substance_matter(3, 1) & substance_matter(3, 2) & ~substance_matter(3, 3)). fof(interp, fi_predicates, thing(0, 0) & thing(0, 1) & thing(0, 2) & thing(0, 3) & thing(1, 0) & thing(1, 1) & thing(1, 2) & thing(1, 3) & thing(2, 0) & thing(2, 1) & thing(2, 2) & thing(2, 3) & thing(3, 0) & thing(3, 1) & thing(3, 2) & thing(3, 3)). fof(interp, fi_predicates, ~unisex(0, 0) & unisex(0, 1) & unisex(0, 2) & unisex(0, 3) & ~unisex(1, 0) & unisex(1, 1) & unisex(1, 2) & unisex(1, 3) & ~unisex(2, 0) & unisex(2, 1) & unisex(2, 2) & unisex(2, 3) & ~unisex(3, 0) & unisex(3, 1) & unisex(3, 2) & unisex(3, 3)). fof(interp, fi_predicates, woman(0, 0) & ~woman(0, 1) & ~woman(0, 2) & ~woman(0, 3) & woman(1, 0) & ~woman(1, 1) & ~woman(1, 2) & ~woman(1, 3) & woman(2, 0) & ~woman(2, 1) & ~woman(2, 2) & ~woman(2, 3) & woman(3, 0) & ~woman(3, 1) & ~woman(3, 2) & ~woman(3, 3)).
% domain size: 2 fof(interp, fi_domain, ![X] : (X = 0 | X = 1)). fof(interp, fi_functors, a = 0). fof(interp, fi_predicates, a_holds(0) & a_holds(1)). fof(interp, fi_predicates, ~a_key(0) & a_key(1)). fof(interp, fi_predicates, a_nonce(0) & ~a_nonce(1)). fof(interp, fi_predicates, ~a_stored(0) & a_stored(1)). fof(interp, fi_functors, an_a_nonce = 0). fof(interp, fi_functors, an_intruder_nonce = 0). fof(interp, fi_functors, at = 1). fof(interp, fi_functors, b = 0). fof(interp, fi_predicates, b_holds(0) & b_holds(1)). fof(interp, fi_predicates, ~b_stored(0) & b_stored(1)). fof(interp, fi_functors, bt = 1). fof(interp, fi_functors, encrypt(0, 0) = 1 & encrypt(0, 1) = 1 & encrypt(1, 0) = 1 & encrypt(1, 1) = 1). fof(interp, fi_predicates, fresh_intruder_nonce(0) & ~fresh_intruder_nonce(1)). fof(interp, fi_predicates, fresh_to_b(0) & ~fresh_to_b(1)). fof(interp, fi_functors, generate_b_nonce(0) = 0 & generate_b_nonce(1) = 0). fof(interp, fi_functors, generate_expiration_time(0) = 0 & generate_expiration_time(1) = 0). fof(interp, fi_functors, generate_intruder_nonce(0) = 0 & generate_intruder_nonce(1) = 0). fof(interp, fi_functors, generate_key(0) = 1 & generate_key(1) = 1). fof(interp, fi_predicates, intruder_holds(0) & intruder_holds(1)). fof(interp, fi_predicates, intruder_message(0) & intruder_message(1)). fof(interp, fi_functors, key(0, 0) = 0 & key(0, 1) = 1 & key(1, 0) = 0 & key(1, 1) = 1). fof(interp, fi_predicates, message(0) & ~message(1)). fof(interp, fi_functors, pair(0, 0) = 1 & pair(0, 1) = 0 & pair(1, 0) = 1 & pair(1, 1) = 0). fof(interp, fi_predicates, party_of_protocol(0) & ~party_of_protocol(1)). fof(interp, fi_functors, quadruple(0, 0, 0, 0) = 0 & quadruple(0, 0, 0, 1) = 0 & quadruple(0, 0, 1, 0) = 0 & quadruple(0, 0, 1, 1) = 0 & quadruple(0, 1, 0, 0) = 0 & quadruple(0, 1, 0, 1) = 0 & quadruple(0, 1, 1, 0) = 1 & quadruple(0, 1, 1, 1) = 0 & quadruple(1, 0, 0, 0) = 1 & quadruple(1, 0, 0, 1) = 1 & quadruple(1, 0, 1, 0) = 0 & quadruple(1, 0, 1, 1) = 0 & quadruple(1, 1, 0, 0) = 0 & quadruple(1, 1, 0, 1) = 0 & quadruple(1, 1, 1, 0) = 0 & quadruple(1, 1, 1, 1) = 0). fof(interp, fi_functors, sent(0, 0, 0) = 0 & sent(0, 0, 1) = 0 & sent(0, 1, 0) = 0 & sent(0, 1, 1) = 0 & sent(1, 0, 0) = 0 & sent(1, 0, 1) = 1 & sent(1, 1, 0) = 0 & sent(1, 1, 1) = 0). fof(interp, fi_functors, t = 0). fof(interp, fi_predicates, t_holds(0) & ~t_holds(1)). fof(interp, fi_functors, triple(0, 0, 0) = 1 & triple(0, 0, 1) = 0 & triple(0, 1, 0) = 0 & triple(0, 1, 1) = 0 & triple(1, 0, 0) = 0 & triple(1, 0, 1) = 0 & triple(1, 1, 0) = 1 & triple(1, 1, 1) = 1).
For proofs, CVC4 provides the (fresh) skolem constants it used when witnessing the negation of universally quantified formulas, and a set of tuples of ground terms it used for instantiating universal quantified formulas. The corresponding ground instances of these formulas, along with the ground formulas from the input (if any), are unsatisfiable at the ground level.
% SZS status Theorem for SEU140+2 % SZS output start Proof for SEU140+2 Skolem constants of (forall ((A $$unsorted)) (not (empty A)) ) : ( skv_1 ) Skolem constants of (forall ((A $$unsorted)) (empty A) ) : ( skv_2 ) Skolem constants of (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (and (subset A B) (disjoint B C))) (disjoint A C)) ) : ( skv_3, skv_4, skv_5 ) Skolem constants of (forall ((C $$unsorted)) (not (and (in C skv_3) (in C skv_5))) ) : ( skv_6 ) Skolem constants of (forall ((C $$unsorted)) (not (in C (set_intersection2 skv_3 skv_5))) ) : ( skv_7 ) Skolem constants of (forall ((C $$unsorted)) (or (not (in C skv_4)) (in C skv_3)) ) : ( skv_10 ) Skolem constants of (forall ((C $$unsorted)) (not (and (in C skv_5) (in C skv_3))) ) : ( skv_8 ) Skolem constants of (forall ((C $$unsorted)) (not (in C (set_intersection2 skv_5 skv_3))) ) : ( skv_9 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (subset A B) (subset B A))) ) : ( skv_3, skv_4 ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (proper_subset A B) (and (subset A B) (not (= A B)))) ) : ( skv_3, skv_4 ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (subset (set_intersection2 A B) A) ) : ( skv_3, skv_4 ) ( skv_3, skv_5 ) ( skv_4, skv_5 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (subset (set_difference A B) A) ) : ( skv_3, skv_4 ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (subset A (set_union2 A B)) ) : ( skv_3, skv_4 ) ( skv_3, (set_difference skv_4 skv_3) ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (not (in A B)) (not (in B A))) ) : ( skv_3, skv_6 ) ( skv_5, skv_6 ) ( (set_intersection2 skv_3 skv_5), skv_7 ) ( skv_6, skv_3 ) ( skv_6, skv_5 ) ( skv_7, (set_intersection2 skv_3 skv_5) ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (not (proper_subset A B)) (not (proper_subset B A))) ) : ( skv_3, skv_4 ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (set_union2 B A) (set_union2 A B)) ) : ( skv_3, skv_4 ) ( skv_3, (set_difference skv_4 skv_3) ) ( skv_4, skv_3 ) ( (set_difference skv_4 skv_3), skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (set_intersection2 B A) (set_intersection2 A B)) ) : ( skv_3, skv_4 ) ( skv_3, skv_5 ) ( skv_4, skv_3 ) ( skv_4, skv_5 ) ( skv_5, skv_3 ) ( skv_5, skv_4 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (subset A B) (forall ((C $$unsorted)) (or (not (in C A)) (in C B)) )) ) : ( skv_3, skv_4 ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (disjoint A B) (= empty_set (set_intersection2 A B))) ) : ( skv_3, skv_4 ) ( skv_3, skv_5 ) ( skv_4, skv_5 ) ( skv_5, skv_3 ) ( skv_5, skv_4 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (empty A) (not (empty (set_union2 A B)))) ) : ( skv_3, skv_4 ) ( skv_3, (set_difference skv_4 skv_3) ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (empty A) (not (empty (set_union2 B A)))) ) : ( skv_4, skv_3 ) ( (set_difference skv_4 skv_3), skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (= empty_set (set_difference A B)) (subset A B)) ) : ( skv_3, skv_4 ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (not (disjoint A B)) (disjoint B A)) ) : ( skv_3, skv_5 ) ( skv_4, skv_5 ) ( skv_5, skv_3 ) ( skv_5, skv_4 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (not (subset A B)) (= B (set_union2 A B))) ) : ( skv_3, skv_4 ) ( skv_3, (set_difference skv_4 skv_3) ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (and (subset A B) (subset A C))) (subset A (set_intersection2 B C))) ) : ( skv_4, skv_3, skv_4 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (and (subset A B) (subset B C))) (subset A C)) ) : ( skv_3, skv_4, skv_3 ) ( skv_4, skv_3, skv_4 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (not (subset A B)) (= A (set_intersection2 A B))) ) : ( skv_3, skv_4 ) ( skv_3, skv_5 ) ( skv_4, skv_3 ) ( skv_4, skv_5 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (= empty_set (set_difference A B)) (subset A B)) ) : ( skv_3, skv_4 ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (set_union2 A B) (set_union2 A (set_difference B A))) ) : ( skv_3, skv_4 ) ( skv_3, (set_difference skv_4 skv_3) ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (disjoint A B) (not (forall ((C $$unsorted)) (not (and (in C A) (in C B))) ))) ) : ( skv_3, skv_5 ) ( skv_4, skv_5 ) ( skv_5, skv_3 ) ( skv_5, skv_4 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_723 $$unsorted)) (or (not (and (in BOUND_VARIABLE_723 A) (in BOUND_VARIABLE_723 B))) (not (disjoint A B))) ) : ( skv_3, skv_3, skv_6 ) ( skv_3, skv_5, skv_6 ) ( skv_4, skv_5, skv_6 ) ( skv_5, skv_3, skv_6 ) ( skv_5, skv_5, skv_6 ) ( (set_intersection2 skv_3 skv_5), (set_intersection2 skv_3 skv_5), skv_7 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (set_difference A B) (set_difference (set_union2 A B) B)) ) : ( skv_3, skv_4 ) ( skv_3, (set_difference skv_4 skv_3) ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (not (subset A B)) (= B (set_union2 A (set_difference B A)))) ) : ( skv_3, skv_4 ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (= (set_intersection2 A B) (set_difference A (set_difference A B))) ) : ( skv_3, skv_4 ) ( skv_3, skv_5 ) ( skv_4, skv_3 ) ( skv_4, skv_5 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (disjoint A B) (not (forall ((C $$unsorted)) (not (in C (set_intersection2 A B))) ))) ) : ( skv_3, skv_5 ) ( skv_4, skv_5 ) ( skv_5, skv_3 ) ( skv_5, skv_4 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_760 $$unsorted)) (or (not (in BOUND_VARIABLE_760 (set_intersection2 A B))) (not (disjoint A B))) ) : ( skv_3, skv_4, skv_6 ) ( skv_3, skv_5, skv_7 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (not (subset A B)) (not (proper_subset B A))) ) : ( skv_3, skv_4 ) ( skv_4, skv_3 ) Instantiations of (forall ((A $$unsorted)) (or (not (empty A)) (= empty_set A)) ) : ( empty_set ) ( skv_1 ) ( skv_2 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (not (in A B)) (not (empty B))) ) : ( skv_6, skv_3 ) ( skv_6, skv_5 ) ( skv_7, (set_intersection2 skv_3 skv_5) ) Instantiations of (forall ((A $$unsorted) (B $$unsorted)) (or (not (empty A)) (= A B) (not (empty B))) ) : ( empty_set, empty_set ) ( empty_set, skv_1 ) ( empty_set, skv_2 ) ( skv_1, empty_set ) ( skv_2, empty_set ) ( skv_2, skv_2 ) Instantiations of (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (and (subset A B) (subset C B))) (subset (set_union2 A C) B)) ) : ( skv_3, skv_3, (set_difference skv_4 skv_3) ) Instantiations of (forall ((C $$unsorted)) (or (not (in C skv_3)) (in C skv_4)) ) : ( skv_6 ) % SZS output end Proof for SEU140+2
% SZS status CounterSatisfiable for NLP042+1 % SZS output start FiniteModel for NLP042+1 (define-fun woman (($x1 $$unsorted) ($x2 $$unsorted)) Bool (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2)) false (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2)) false (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2)))))) (define-fun female (($x1 $$unsorted) ($x2 $$unsorted)) Bool (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2)) false (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2)) false (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2)))))) (define-fun human_person (($x1 $$unsorted) ($x2 $$unsorted)) Bool (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2)) false (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2)) false (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2)))))) (define-fun animate (($x1 $$unsorted) ($x2 $$unsorted)) Bool (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2)))) (define-fun human (($x1 $$unsorted) ($x2 $$unsorted)) Bool (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2)))) (define-fun organism (($x1 $$unsorted) ($x2 $$unsorted)) Bool (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2)) false (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2)) false (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2)))))) (define-fun living (($x1 $$unsorted) ($x2 $$unsorted)) Bool (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2)))) (define-fun impartial (($x1 $$unsorted) ($x2 $$unsorted)) Bool true) (define-fun entity (($x1 $$unsorted) ($x2 $$unsorted)) Bool (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2)) false (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2))))) (define-fun mia_forename (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2))) (define-fun forename (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2))) (define-fun abstraction (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2))) (define-fun unisex (($x1 $$unsorted) ($x2 $$unsorted)) Bool (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2)) true (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2)) true (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2))))) (define-fun general (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2))) (define-fun nonhuman (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2))) (define-fun thing (($x1 $$unsorted) ($x2 $$unsorted)) Bool true) (define-fun relation (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2))) (define-fun relname (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2))) (define-fun object (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2))) (define-fun nonliving (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2))) (define-fun existent (($x1 $$unsorted) ($x2 $$unsorted)) Bool (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2)))) (define-fun specific (($x1 $$unsorted) ($x2 $$unsorted)) Bool (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_1 $x2)))) (define-fun substance_matter (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2))) (define-fun food (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2))) (define-fun beverage (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2))) (define-fun shake_beverage (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_2 $x2))) (define-fun order (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2))) (define-fun event (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2))) (define-fun eventuality (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2))) (define-fun nonexistent (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2))) (define-fun singleton (($x1 $$unsorted) ($x2 $$unsorted)) Bool true) (define-fun act (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2))) (define-fun of (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) Bool true) (define-fun nonreflexive (($x1 $$unsorted) ($x2 $$unsorted)) Bool (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2))) (define-fun agent (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) Bool (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2) (= @uc___unsorted_2 $x3)) false (ite (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2) (= @uc___unsorted_1 $x3)) false (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2) (= @uc___unsorted_3 $x3)))))) (define-fun patient (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) Bool (not (and (= @uc___unsorted_0 $x1) (= @uc___unsorted_3 $x2) (= @uc___unsorted_0 $x3)))) (define-fun actual_world ((_ufmt_1 $$unsorted)) Bool true) (define-fun past ((_ufmt_1 $$unsorted) (_ufmt_2 $$unsorted)) Bool true) ; cardinality of $$unsorted is 4 (declare-sort $$unsorted 0) ; rep: @uc___unsorted_0 ; rep: @uc___unsorted_1 ; rep: @uc___unsorted_2 ; rep: @uc___unsorted_3 % SZS output end FiniteModel for NLP042+1
% SZS status Satisfiable for SWV017+1 % SZS output start FiniteModel for SWV017+1 (define-fun at () $$unsorted @uc___unsorted_0) (define-fun t () $$unsorted @uc___unsorted_0) (define-fun key (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted @uc___unsorted_0) (define-fun a_holds (($x1 $$unsorted)) Bool true) (define-fun a () $$unsorted @uc___unsorted_0) (define-fun party_of_protocol (($x1 $$unsorted)) Bool true) (define-fun b () $$unsorted @uc___unsorted_0) (define-fun an_a_nonce () $$unsorted @uc___unsorted_0) (define-fun pair (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted @uc___unsorted_0) (define-fun sent (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) $$unsorted @uc___unsorted_0) (define-fun message (($x1 $$unsorted)) Bool true) (define-fun a_stored (($x1 $$unsorted)) Bool true) (define-fun quadruple (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted) ($x4 $$unsorted)) $$unsorted @uc___unsorted_0) (define-fun encrypt (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted @uc___unsorted_0) (define-fun triple (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) $$unsorted @uc___unsorted_0) (define-fun bt () $$unsorted @uc___unsorted_0) (define-fun b_holds (($x1 $$unsorted)) Bool true) (define-fun fresh_to_b (($x1 $$unsorted)) Bool true) (define-fun generate_b_nonce (($x1 $$unsorted)) $$unsorted @uc___unsorted_0) (define-fun generate_expiration_time (($x1 $$unsorted)) $$unsorted @uc___unsorted_0) (define-fun b_stored (($x1 $$unsorted)) Bool true) (define-fun a_key (($x1 $$unsorted)) Bool (= @uc___unsorted_1 $x1)) (define-fun t_holds (($x1 $$unsorted)) Bool true) (define-fun a_nonce (($x1 $$unsorted)) Bool (not (= @uc___unsorted_1 $x1))) (define-fun generate_key (($x1 $$unsorted)) $$unsorted @uc___unsorted_1) (define-fun intruder_message (($x1 $$unsorted)) Bool true) (define-fun intruder_holds (($x1 $$unsorted)) Bool true) (define-fun an_intruder_nonce () $$unsorted @uc___unsorted_0) (define-fun fresh_intruder_nonce (($x1 $$unsorted)) Bool true) (define-fun generate_intruder_nonce (($x1 $$unsorted)) $$unsorted @uc___unsorted_0) ; cardinality of $$unsorted is 2 (declare-sort $$unsorted 0) ; rep: @uc___unsorted_0 ; rep: @uc___unsorted_1 % SZS output end FiniteModel for SWV017+1
# No SInE strategy applied
# Trying AutoSched0 for 151 seconds
# AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Presaturation interreduction done
# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation.
fof(c_0_0, lemma, (![X1]:![X2]:(~((~(disjoint(X1,X2))&![X3]:~((in(X3,X1)&in(X3,X2)))))&~((?[X3]:(in(X3,X1)&in(X3,X2))&disjoint(X1,X2))))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SEU140+2.p', t3_xboole_0)).
fof(c_0_1, conjecture, (![X1]:![X2]:![X3]:((subset(X1,X2)&disjoint(X2,X3))=>disjoint(X1,X3))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SEU140+2.p', t63_xboole_1)).
fof(c_0_2, axiom, (![X1]:![X2]:![X3]:(X3=set_difference(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,X1)&~(in(X4,X2)))))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SEU140+2.p', d4_xboole_0)).
fof(c_0_3, axiom, (![X1]:(X1=empty_set<=>![X2]:~(in(X2,X1)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SEU140+2.p', d1_xboole_0)).
fof(c_0_4, lemma, (![X1]:![X2]:(set_difference(X1,X2)=empty_set<=>subset(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SEU140+2.p', l32_xboole_1)).
fof(c_0_5, lemma, (![X1]:![X2]:(~((~disjoint(X1,X2)&![X3]:~((in(X3,X1)&in(X3,X2)))))&~((?[X3]:(in(X3,X1)&in(X3,X2))&disjoint(X1,X2))))), inference(fof_simplification,[status(thm)],[c_0_0])).
fof(c_0_6, negated_conjecture, (~(![X1]:![X2]:![X3]:((subset(X1,X2)&disjoint(X2,X3))=>disjoint(X1,X3)))), inference(assume_negation,[status(cth)],[c_0_1])).
fof(c_0_7, plain, (![X1]:![X2]:![X3]:(X3=set_difference(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,X1)&~in(X4,X2))))), inference(fof_simplification,[status(thm)],[c_0_2])).
fof(c_0_8, plain, (![X1]:(X1=empty_set<=>![X2]:~in(X2,X1))), inference(fof_simplification,[status(thm)],[c_0_3])).
fof(c_0_9, lemma, (![X4]:![X5]:![X7]:![X8]:![X9]:(((in(esk9_2(X4,X5),X4)|disjoint(X4,X5))&(in(esk9_2(X4,X5),X5)|disjoint(X4,X5)))&((~in(X9,X7)|~in(X9,X8))|~disjoint(X7,X8)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])])).
fof(c_0_10, negated_conjecture, (((subset(esk11_0,esk12_0)&disjoint(esk12_0,esk13_0))&~disjoint(esk11_0,esk13_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
fof(c_0_11, plain, (![X5]:![X6]:![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:(((((in(X8,X5)|~in(X8,X7))|X7!=set_difference(X5,X6))&((~in(X8,X6)|~in(X8,X7))|X7!=set_difference(X5,X6)))&(((~in(X9,X5)|in(X9,X6))|in(X9,X7))|X7!=set_difference(X5,X6)))&(((~in(esk5_3(X10,X11,X12),X12)|(~in(esk5_3(X10,X11,X12),X10)|in(esk5_3(X10,X11,X12),X11)))|X12=set_difference(X10,X11))&(((in(esk5_3(X10,X11,X12),X10)|in(esk5_3(X10,X11,X12),X12))|X12=set_difference(X10,X11))&((~in(esk5_3(X10,X11,X12),X11)|in(esk5_3(X10,X11,X12),X12))|X12=set_difference(X10,X11)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])])).
fof(c_0_12, lemma, (![X3]:![X4]:![X5]:![X6]:((set_difference(X3,X4)!=empty_set|subset(X3,X4))&(~subset(X5,X6)|set_difference(X5,X6)=empty_set))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])).
fof(c_0_13, plain, (![X3]:![X4]:![X5]:((X3!=empty_set|~in(X4,X3))&(in(esk1_1(X5),X5)|X5=empty_set))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])).
cnf(c_0_14,lemma,(~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_15,negated_conjecture,(disjoint(esk12_0,esk13_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16,negated_conjecture,(~disjoint(esk11_0,esk13_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_18,plain,(in(X4,X1)|in(X4,X3)|X1!=set_difference(X2,X3)|~in(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_19,lemma,(set_difference(X1,X2)=empty_set|~subset(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_20,negated_conjecture,(subset(esk11_0,esk12_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_21,plain,(~in(X1,X2)|X2!=empty_set), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_22,negated_conjecture,(~in(X1,esk13_0)|~in(X1,esk12_0)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
cnf(c_0_23,negated_conjecture,(in(esk9_2(esk11_0,esk13_0),esk13_0)), inference(spm,[status(thm)],[c_0_16, c_0_17])).
cnf(c_0_24,plain,(in(X1,set_difference(X2,X3))|in(X1,X3)|~in(X1,X2)), inference(er,[status(thm)],[c_0_18])).
cnf(c_0_25,negated_conjecture,(set_difference(esk11_0,esk12_0)=empty_set), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_26,plain,(~in(X1,empty_set)), inference(er,[status(thm)],[c_0_21])).
cnf(c_0_27,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_28,negated_conjecture,(~in(esk9_2(esk11_0,esk13_0),esk12_0)), inference(spm,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_29,negated_conjecture,(in(X1,esk12_0)|~in(X1,esk11_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26])).
cnf(c_0_30,negated_conjecture,(in(esk9_2(esk11_0,esk13_0),esk11_0)), inference(spm,[status(thm)],[c_0_16, c_0_27])).
cnf(c_0_31,negated_conjecture,($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])]), ['proof']).
# SZS output end CNFRefutation.
# No SInE strategy applied
# Trying AutoSched0 for 151 seconds
# AutoSched0-Mode selected heuristic H_____047_C18_F1_AE_R8_CS_SP_S2S
# and selection function SelectNewComplexAHP.
#
# No proof found!
# SZS status CounterSatisfiable
# SZS output start Saturation.
fof(c_0_0, conjecture, (~(?[X1]:(actual_world(X1)&?[X2]:?[X3]:?[X4]:?[X5]:((((((((((of(X1,X3,X2)&woman(X1,X2))&mia_forename(X1,X3))&forename(X1,X3))&shake_beverage(X1,X4))&event(X1,X5))&agent(X1,X5,X2))&patient(X1,X5,X4))&past(X1,X5))&nonreflexive(X1,X5))&order(X1,X5))))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', co1)).
fof(c_0_1, axiom, (![X1]:![X2]:(shake_beverage(X1,X2)=>beverage(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax27)).
fof(c_0_2, axiom, (![X1]:![X2]:(beverage(X1,X2)=>food(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax26)).
fof(c_0_3, axiom, (![X1]:![X2]:(food(X1,X2)=>substance_matter(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax25)).
fof(c_0_4, axiom, (![X1]:![X2]:(forename(X1,X2)=>relname(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax16)).
fof(c_0_5, axiom, (![X1]:![X2]:(woman(X1,X2)=>human_person(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax8)).
fof(c_0_6, axiom, (![X1]:![X2]:(substance_matter(X1,X2)=>object(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax24)).
fof(c_0_7, axiom, (![X1]:![X2]:(relname(X1,X2)=>relation(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax15)).
fof(c_0_8, axiom, (![X1]:![X2]:(human_person(X1,X2)=>organism(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax7)).
fof(c_0_9, axiom, (![X1]:![X2]:(object(X1,X2)=>entity(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax23)).
fof(c_0_10, axiom, (![X1]:![X2]:(relation(X1,X2)=>abstraction(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax14)).
fof(c_0_11, axiom, (![X1]:![X2]:(event(X1,X2)=>eventuality(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax34)).
fof(c_0_12, axiom, (![X1]:![X2]:(organism(X1,X2)=>entity(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax6)).
fof(c_0_13, axiom, (![X1]:![X2]:(existent(X1,X2)=>~(nonexistent(X1,X2)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax38)).
fof(c_0_14, axiom, (![X1]:![X2]:(specific(X1,X2)=>~(general(X1,X2)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax41)).
fof(c_0_15, axiom, (![X1]:![X2]:(nonliving(X1,X2)=>~(living(X1,X2)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax40)).
fof(c_0_16, axiom, (![X1]:![X2]:(nonhuman(X1,X2)=>~(human(X1,X2)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax39)).
fof(c_0_17, axiom, (![X1]:![X2]:(animate(X1,X2)=>~(nonliving(X1,X2)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax37)).
fof(c_0_18, axiom, (![X1]:![X2]:(unisex(X1,X2)=>~(female(X1,X2)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax42)).
fof(c_0_19, axiom, (![X1]:![X2]:(entity(X1,X2)=>specific(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax21)).
fof(c_0_20, axiom, (![X1]:![X2]:(object(X1,X2)=>nonliving(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax19)).
fof(c_0_21, axiom, (![X1]:![X2]:(object(X1,X2)=>unisex(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax17)).
fof(c_0_22, axiom, (![X1]:![X2]:(abstraction(X1,X2)=>nonhuman(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax12)).
fof(c_0_23, axiom, (![X1]:![X2]:(abstraction(X1,X2)=>unisex(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax10)).
fof(c_0_24, axiom, (![X1]:![X2]:(eventuality(X1,X2)=>nonexistent(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax30)).
fof(c_0_25, axiom, (![X1]:![X2]:(eventuality(X1,X2)=>specific(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax31)).
fof(c_0_26, axiom, (![X1]:![X2]:(eventuality(X1,X2)=>unisex(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax29)).
fof(c_0_27, axiom, (![X1]:![X2]:![X3]:![X4]:(((nonreflexive(X1,X2)&agent(X1,X2,X3))&patient(X1,X2,X4))=>X3!=X4)), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax44)).
fof(c_0_28, axiom, (![X1]:![X2]:(entity(X1,X2)=>thing(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax22)).
fof(c_0_29, axiom, (![X1]:![X2]:(abstraction(X1,X2)=>thing(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax13)).
fof(c_0_30, axiom, (![X1]:![X2]:(eventuality(X1,X2)=>thing(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax33)).
fof(c_0_31, axiom, (![X1]:![X2]:![X3]:(((entity(X1,X2)&forename(X1,X3))&of(X1,X3,X2))=>~(?[X4]:((forename(X1,X4)&X4!=X3)&of(X1,X4,X2))))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax43)).
fof(c_0_32, axiom, (![X1]:![X2]:(order(X1,X2)=>act(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax36)).
fof(c_0_33, axiom, (![X1]:![X2]:(thing(X1,X2)=>singleton(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax32)).
fof(c_0_34, axiom, (![X1]:![X2]:(entity(X1,X2)=>existent(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax20)).
fof(c_0_35, axiom, (![X1]:![X2]:(abstraction(X1,X2)=>general(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax11)).
fof(c_0_36, axiom, (![X1]:![X2]:(object(X1,X2)=>impartial(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax18)).
fof(c_0_37, axiom, (![X1]:![X2]:(organism(X1,X2)=>impartial(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax5)).
fof(c_0_38, axiom, (![X1]:![X2]:(organism(X1,X2)=>living(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax4)).
fof(c_0_39, axiom, (![X1]:![X2]:(human_person(X1,X2)=>human(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax3)).
fof(c_0_40, axiom, (![X1]:![X2]:(human_person(X1,X2)=>animate(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax2)).
fof(c_0_41, axiom, (![X1]:![X2]:(act(X1,X2)=>event(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax35)).
fof(c_0_42, axiom, (![X1]:![X2]:(woman(X1,X2)=>female(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax1)).
fof(c_0_43, axiom, (![X1]:![X2]:(order(X1,X2)=>event(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax28)).
fof(c_0_44, axiom, (![X1]:![X2]:(mia_forename(X1,X2)=>forename(X1,X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/NLP042+1.p', ax9)).
fof(c_0_45, negated_conjecture, (~(~(?[X1]:(actual_world(X1)&?[X2]:?[X3]:?[X4]:?[X5]:((((((((((of(X1,X3,X2)&woman(X1,X2))&mia_forename(X1,X3))&forename(X1,X3))&shake_beverage(X1,X4))&event(X1,X5))&agent(X1,X5,X2))&patient(X1,X5,X4))&past(X1,X5))&nonreflexive(X1,X5))&order(X1,X5)))))), inference(assume_negation,[status(cth)],[c_0_0])).
fof(c_0_46, plain, (![X3]:![X4]:(~shake_beverage(X3,X4)|beverage(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])).
fof(c_0_47, negated_conjecture, ((actual_world(esk1_0)&((((((((((of(esk1_0,esk3_0,esk2_0)&woman(esk1_0,esk2_0))&mia_forename(esk1_0,esk3_0))&forename(esk1_0,esk3_0))&shake_beverage(esk1_0,esk4_0))&event(esk1_0,esk5_0))&agent(esk1_0,esk5_0,esk2_0))&patient(esk1_0,esk5_0,esk4_0))&past(esk1_0,esk5_0))&nonreflexive(esk1_0,esk5_0))&order(esk1_0,esk5_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])).
fof(c_0_48, plain, (![X3]:![X4]:(~beverage(X3,X4)|food(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])).
cnf(c_0_49,plain,(beverage(X1,X2)|~shake_beverage(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_50,negated_conjecture,(shake_beverage(esk1_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_51, plain, (![X3]:![X4]:(~food(X3,X4)|substance_matter(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])).
cnf(c_0_52,plain,(food(X1,X2)|~beverage(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_53,negated_conjecture,(beverage(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_49, c_0_50]), ['final']).
fof(c_0_54, plain, (![X3]:![X4]:(~forename(X3,X4)|relname(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])).
fof(c_0_55, plain, (![X3]:![X4]:(~woman(X3,X4)|human_person(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])).
fof(c_0_56, plain, (![X3]:![X4]:(~substance_matter(X3,X4)|object(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])).
cnf(c_0_57,plain,(substance_matter(X1,X2)|~food(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_58,negated_conjecture,(food(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_52, c_0_53]), ['final']).
fof(c_0_59, plain, (![X3]:![X4]:(~relname(X3,X4)|relation(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])).
cnf(c_0_60,plain,(relname(X1,X2)|~forename(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_61,negated_conjecture,(forename(esk1_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_62, plain, (![X3]:![X4]:(~human_person(X3,X4)|organism(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])).
cnf(c_0_63,plain,(human_person(X1,X2)|~woman(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_64,negated_conjecture,(woman(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_65, plain, (![X3]:![X4]:(~object(X3,X4)|entity(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])).
cnf(c_0_66,plain,(object(X1,X2)|~substance_matter(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_67,negated_conjecture,(substance_matter(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_57, c_0_58]), ['final']).
fof(c_0_68, plain, (![X3]:![X4]:(~relation(X3,X4)|abstraction(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])).
cnf(c_0_69,plain,(relation(X1,X2)|~relname(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_70,negated_conjecture,(relname(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_60, c_0_61]), ['final']).
fof(c_0_71, plain, (![X3]:![X4]:(~event(X3,X4)|eventuality(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])).
fof(c_0_72, plain, (![X3]:![X4]:(~organism(X3,X4)|entity(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])).
cnf(c_0_73,plain,(organism(X1,X2)|~human_person(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_74,negated_conjecture,(human_person(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_63, c_0_64]), ['final']).
fof(c_0_75, plain, (![X1]:![X2]:(existent(X1,X2)=>~nonexistent(X1,X2))), inference(fof_simplification,[status(thm)],[c_0_13])).
fof(c_0_76, plain, (![X1]:![X2]:(specific(X1,X2)=>~general(X1,X2))), inference(fof_simplification,[status(thm)],[c_0_14])).
fof(c_0_77, plain, (![X1]:![X2]:(nonliving(X1,X2)=>~living(X1,X2))), inference(fof_simplification,[status(thm)],[c_0_15])).
fof(c_0_78, plain, (![X1]:![X2]:(nonhuman(X1,X2)=>~human(X1,X2))), inference(fof_simplification,[status(thm)],[c_0_16])).
fof(c_0_79, plain, (![X1]:![X2]:(animate(X1,X2)=>~nonliving(X1,X2))), inference(fof_simplification,[status(thm)],[c_0_17])).
fof(c_0_80, plain, (![X1]:![X2]:(unisex(X1,X2)=>~female(X1,X2))), inference(fof_simplification,[status(thm)],[c_0_18])).
fof(c_0_81, plain, (![X3]:![X4]:(~entity(X3,X4)|specific(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])).
cnf(c_0_82,plain,(entity(X1,X2)|~object(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_83,negated_conjecture,(object(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_66, c_0_67]), ['final']).
fof(c_0_84, plain, (![X3]:![X4]:(~object(X3,X4)|nonliving(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])).
fof(c_0_85, plain, (![X3]:![X4]:(~object(X3,X4)|unisex(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])).
fof(c_0_86, plain, (![X3]:![X4]:(~abstraction(X3,X4)|nonhuman(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])).
cnf(c_0_87,plain,(abstraction(X1,X2)|~relation(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_88,negated_conjecture,(relation(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_69, c_0_70]), ['final']).
fof(c_0_89, plain, (![X3]:![X4]:(~abstraction(X3,X4)|unisex(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])).
fof(c_0_90, plain, (![X3]:![X4]:(~eventuality(X3,X4)|nonexistent(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])).
cnf(c_0_91,plain,(eventuality(X1,X2)|~event(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_92,negated_conjecture,(event(esk1_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_93, plain, (![X3]:![X4]:(~eventuality(X3,X4)|specific(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])).
cnf(c_0_94,plain,(entity(X1,X2)|~organism(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_95,negated_conjecture,(organism(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_73, c_0_74]), ['final']).
fof(c_0_96, plain, (![X3]:![X4]:(~eventuality(X3,X4)|unisex(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])).
fof(c_0_97, plain, (![X5]:![X6]:![X7]:![X8]:(((~nonreflexive(X5,X6)|~agent(X5,X6,X7))|~patient(X5,X6,X8))|X7!=X8)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])).
fof(c_0_98, plain, (![X3]:![X4]:(~entity(X3,X4)|thing(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])).
fof(c_0_99, plain, (![X3]:![X4]:(~abstraction(X3,X4)|thing(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])).
fof(c_0_100, plain, (![X3]:![X4]:(~eventuality(X3,X4)|thing(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])).
fof(c_0_101, plain, (![X5]:![X6]:![X7]:![X8]:(((~entity(X5,X6)|~forename(X5,X7))|~of(X5,X7,X6))|((~forename(X5,X8)|X8=X7)|~of(X5,X8,X6)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
fof(c_0_102, plain, (![X3]:![X4]:(~order(X3,X4)|act(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])).
fof(c_0_103, plain, (![X3]:![X4]:(~thing(X3,X4)|singleton(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])).
fof(c_0_104, plain, (![X3]:![X4]:(~entity(X3,X4)|existent(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])).
fof(c_0_105, plain, (![X3]:![X4]:(~abstraction(X3,X4)|general(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])).
fof(c_0_106, plain, (![X3]:![X4]:(~object(X3,X4)|impartial(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])).
fof(c_0_107, plain, (![X3]:![X4]:(~organism(X3,X4)|impartial(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])).
fof(c_0_108, plain, (![X3]:![X4]:(~organism(X3,X4)|living(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])).
fof(c_0_109, plain, (![X3]:![X4]:(~human_person(X3,X4)|human(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])).
fof(c_0_110, plain, (![X3]:![X4]:(~human_person(X3,X4)|animate(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])).
fof(c_0_111, plain, (![X3]:![X4]:(~act(X3,X4)|event(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])).
fof(c_0_112, plain, (![X3]:![X4]:(~woman(X3,X4)|female(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])).
fof(c_0_113, plain, (![X3]:![X4]:(~order(X3,X4)|event(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])).
fof(c_0_114, plain, (![X3]:![X4]:(~mia_forename(X3,X4)|forename(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])).
fof(c_0_115, plain, (![X3]:![X4]:(~existent(X3,X4)|~nonexistent(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])).
fof(c_0_116, plain, (![X3]:![X4]:(~specific(X3,X4)|~general(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_76])])).
fof(c_0_117, plain, (![X3]:![X4]:(~nonliving(X3,X4)|~living(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])).
fof(c_0_118, plain, (![X3]:![X4]:(~nonhuman(X3,X4)|~human(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])).
fof(c_0_119, plain, (![X3]:![X4]:(~animate(X3,X4)|~nonliving(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])).
fof(c_0_120, plain, (![X3]:![X4]:(~unisex(X3,X4)|~female(X3,X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])).
cnf(c_0_121,plain,(specific(X1,X2)|~entity(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_122,negated_conjecture,(entity(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_82, c_0_83]), ['final']).
cnf(c_0_123,plain,(nonliving(X1,X2)|~object(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_124,plain,(unisex(X1,X2)|~object(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_125,plain,(nonhuman(X1,X2)|~abstraction(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_126,negated_conjecture,(abstraction(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_87, c_0_88]), ['final']).
cnf(c_0_127,plain,(unisex(X1,X2)|~abstraction(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_128,plain,(nonexistent(X1,X2)|~eventuality(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_129,negated_conjecture,(eventuality(esk1_0,esk5_0)), inference(spm,[status(thm)],[c_0_91, c_0_92]), ['final']).
cnf(c_0_130,plain,(specific(X1,X2)|~eventuality(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_93])).
cnf(c_0_131,negated_conjecture,(entity(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_94, c_0_95]), ['final']).
cnf(c_0_132,plain,(unisex(X1,X2)|~eventuality(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_96])).
cnf(c_0_133,plain,(X1!=X2|~patient(X3,X4,X2)|~agent(X3,X4,X1)|~nonreflexive(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_97])).
cnf(c_0_134,plain,(thing(X1,X2)|~entity(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_135,plain,(thing(X1,X2)|~abstraction(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_136,plain,(thing(X1,X2)|~eventuality(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_100])).
cnf(c_0_137,plain,(X2=X4|~of(X1,X2,X3)|~forename(X1,X2)|~of(X1,X4,X3)|~forename(X1,X4)|~entity(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_101])).
cnf(c_0_138,negated_conjecture,(of(esk1_0,esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_139,plain,(act(X1,X2)|~order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_102])).
cnf(c_0_140,plain,(singleton(X1,X2)|~thing(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_103])).
cnf(c_0_141,plain,(existent(X1,X2)|~entity(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_142,plain,(general(X1,X2)|~abstraction(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_143,plain,(impartial(X1,X2)|~object(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_144,plain,(impartial(X1,X2)|~organism(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_107])).
cnf(c_0_145,plain,(living(X1,X2)|~organism(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_146,plain,(human(X1,X2)|~human_person(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_109])).
cnf(c_0_147,plain,(animate(X1,X2)|~human_person(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_110])).
cnf(c_0_148,plain,(event(X1,X2)|~act(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_111])).
cnf(c_0_149,plain,(female(X1,X2)|~woman(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_112])).
cnf(c_0_150,plain,(event(X1,X2)|~order(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_113])).
cnf(c_0_151,plain,(forename(X1,X2)|~mia_forename(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_152,plain,(~nonexistent(X1,X2)|~existent(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_153,plain,(~general(X1,X2)|~specific(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_116])).
cnf(c_0_154,plain,(~living(X1,X2)|~nonliving(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_117])).
cnf(c_0_155,plain,(~human(X1,X2)|~nonhuman(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_156,plain,(~nonliving(X1,X2)|~animate(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_119])).
cnf(c_0_157,plain,(~female(X1,X2)|~unisex(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_120])).
cnf(c_0_158,negated_conjecture,(specific(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_121, c_0_122]), ['final']).
cnf(c_0_159,negated_conjecture,(nonliving(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_123, c_0_83]), ['final']).
cnf(c_0_160,negated_conjecture,(unisex(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_124, c_0_83]), ['final']).
cnf(c_0_161,negated_conjecture,(nonhuman(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_125, c_0_126]), ['final']).
cnf(c_0_162,negated_conjecture,(unisex(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_127, c_0_126]), ['final']).
cnf(c_0_163,negated_conjecture,(nonexistent(esk1_0,esk5_0)), inference(spm,[status(thm)],[c_0_128, c_0_129]), ['final']).
cnf(c_0_164,negated_conjecture,(specific(esk1_0,esk5_0)), inference(spm,[status(thm)],[c_0_130, c_0_129]), ['final']).
cnf(c_0_165,negated_conjecture,(specific(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_121, c_0_131]), ['final']).
cnf(c_0_166,negated_conjecture,(unisex(esk1_0,esk5_0)), inference(spm,[status(thm)],[c_0_132, c_0_129]), ['final']).
cnf(c_0_167,plain,(~patient(X1,X2,X3)|~agent(X1,X2,X3)|~nonreflexive(X1,X2)), inference(er,[status(thm)],[c_0_133]), ['final']).
cnf(c_0_168,negated_conjecture,(patient(esk1_0,esk5_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_169,negated_conjecture,(nonreflexive(esk1_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_170,negated_conjecture,(thing(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_134, c_0_122]), ['final']).
cnf(c_0_171,negated_conjecture,(thing(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_135, c_0_126]), ['final']).
cnf(c_0_172,negated_conjecture,(thing(esk1_0,esk5_0)), inference(spm,[status(thm)],[c_0_136, c_0_129]), ['final']).
cnf(c_0_173,negated_conjecture,(order(esk1_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_174,negated_conjecture,(thing(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_134, c_0_131]), ['final']).
cnf(c_0_175,negated_conjecture,(agent(esk1_0,esk5_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_176,negated_conjecture,(past(esk1_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_177,negated_conjecture,(mia_forename(esk1_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_178,negated_conjecture,(actual_world(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_179,negated_conjecture,(X1=esk3_0|~of(esk1_0,X1,esk2_0)|~forename(esk1_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137, c_0_138]), c_0_61]), c_0_131])]), ['final']).
cnf(c_0_180,plain,(X1=X2|~of(X3,X2,X4)|~of(X3,X1,X4)|~forename(X3,X2)|~forename(X3,X1)|~entity(X3,X4)), c_0_137, ['final']).
cnf(c_0_181,plain,(act(X1,X2)|~order(X1,X2)), c_0_139, ['final']).
cnf(c_0_182,plain,(singleton(X1,X2)|~thing(X1,X2)), c_0_140, ['final']).
cnf(c_0_183,plain,(nonexistent(X1,X2)|~eventuality(X1,X2)), c_0_128, ['final']).
cnf(c_0_184,plain,(beverage(X1,X2)|~shake_beverage(X1,X2)), c_0_49, ['final']).
cnf(c_0_185,plain,(specific(X1,X2)|~eventuality(X1,X2)), c_0_130, ['final']).
cnf(c_0_186,plain,(specific(X1,X2)|~entity(X1,X2)), c_0_121, ['final']).
cnf(c_0_187,plain,(existent(X1,X2)|~entity(X1,X2)), c_0_141, ['final']).
cnf(c_0_188,plain,(nonliving(X1,X2)|~object(X1,X2)), c_0_123, ['final']).
cnf(c_0_189,plain,(relname(X1,X2)|~forename(X1,X2)), c_0_60, ['final']).
cnf(c_0_190,plain,(thing(X1,X2)|~eventuality(X1,X2)), c_0_136, ['final']).
cnf(c_0_191,plain,(thing(X1,X2)|~abstraction(X1,X2)), c_0_135, ['final']).
cnf(c_0_192,plain,(thing(X1,X2)|~entity(X1,X2)), c_0_134, ['final']).
cnf(c_0_193,plain,(nonhuman(X1,X2)|~abstraction(X1,X2)), c_0_125, ['final']).
cnf(c_0_194,plain,(general(X1,X2)|~abstraction(X1,X2)), c_0_142, ['final']).
cnf(c_0_195,plain,(unisex(X1,X2)|~eventuality(X1,X2)), c_0_132, ['final']).
cnf(c_0_196,plain,(unisex(X1,X2)|~object(X1,X2)), c_0_124, ['final']).
cnf(c_0_197,plain,(unisex(X1,X2)|~abstraction(X1,X2)), c_0_127, ['final']).
cnf(c_0_198,plain,(impartial(X1,X2)|~object(X1,X2)), c_0_143, ['final']).
cnf(c_0_199,plain,(impartial(X1,X2)|~organism(X1,X2)), c_0_144, ['final']).
cnf(c_0_200,plain,(living(X1,X2)|~organism(X1,X2)), c_0_145, ['final']).
cnf(c_0_201,plain,(organism(X1,X2)|~human_person(X1,X2)), c_0_73, ['final']).
cnf(c_0_202,plain,(human(X1,X2)|~human_person(X1,X2)), c_0_146, ['final']).
cnf(c_0_203,plain,(animate(X1,X2)|~human_person(X1,X2)), c_0_147, ['final']).
cnf(c_0_204,plain,(eventuality(X1,X2)|~event(X1,X2)), c_0_91, ['final']).
cnf(c_0_205,plain,(event(X1,X2)|~act(X1,X2)), c_0_148, ['final']).
cnf(c_0_206,plain,(female(X1,X2)|~woman(X1,X2)), c_0_149, ['final']).
cnf(c_0_207,plain,(event(X1,X2)|~order(X1,X2)), c_0_150, ['final']).
cnf(c_0_208,plain,(food(X1,X2)|~beverage(X1,X2)), c_0_52, ['final']).
cnf(c_0_209,plain,(substance_matter(X1,X2)|~food(X1,X2)), c_0_57, ['final']).
cnf(c_0_210,plain,(object(X1,X2)|~substance_matter(X1,X2)), c_0_66, ['final']).
cnf(c_0_211,plain,(relation(X1,X2)|~relname(X1,X2)), c_0_69, ['final']).
cnf(c_0_212,plain,(abstraction(X1,X2)|~relation(X1,X2)), c_0_87, ['final']).
cnf(c_0_213,plain,(forename(X1,X2)|~mia_forename(X1,X2)), c_0_151, ['final']).
cnf(c_0_214,plain,(entity(X1,X2)|~object(X1,X2)), c_0_82, ['final']).
cnf(c_0_215,plain,(entity(X1,X2)|~organism(X1,X2)), c_0_94, ['final']).
cnf(c_0_216,plain,(human_person(X1,X2)|~woman(X1,X2)), c_0_63, ['final']).
cnf(c_0_217,plain,(~nonexistent(X1,X2)|~existent(X1,X2)), c_0_152, ['final']).
cnf(c_0_218,plain,(~specific(X1,X2)|~general(X1,X2)), c_0_153, ['final']).
cnf(c_0_219,plain,(~nonliving(X1,X2)|~living(X1,X2)), c_0_154, ['final']).
cnf(c_0_220,plain,(~nonhuman(X1,X2)|~human(X1,X2)), c_0_155, ['final']).
cnf(c_0_221,plain,(~nonliving(X1,X2)|~animate(X1,X2)), c_0_156, ['final']).
cnf(c_0_222,plain,(~unisex(X1,X2)|~female(X1,X2)), c_0_157, ['final']).
cnf(c_0_223,negated_conjecture,(~general(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_153, c_0_158]), ['final']).
cnf(c_0_224,negated_conjecture,(~living(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_154, c_0_159]), ['final']).
cnf(c_0_225,negated_conjecture,(~animate(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_156, c_0_159]), ['final']).
cnf(c_0_226,negated_conjecture,(~female(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_157, c_0_160]), ['final']).
cnf(c_0_227,negated_conjecture,(~human(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_155, c_0_161]), ['final']).
cnf(c_0_228,negated_conjecture,(~female(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_157, c_0_162]), ['final']).
cnf(c_0_229,negated_conjecture,(~existent(esk1_0,esk5_0)), inference(spm,[status(thm)],[c_0_152, c_0_163]), ['final']).
cnf(c_0_230,negated_conjecture,(~general(esk1_0,esk5_0)), inference(spm,[status(thm)],[c_0_153, c_0_164]), ['final']).
cnf(c_0_231,negated_conjecture,(~general(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_153, c_0_165]), ['final']).
cnf(c_0_232,negated_conjecture,(~female(esk1_0,esk5_0)), inference(spm,[status(thm)],[c_0_157, c_0_166]), ['final']).
cnf(c_0_233,negated_conjecture,(~agent(esk1_0,esk5_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167, c_0_168]), c_0_169])]), ['final']).
cnf(c_0_234,negated_conjecture,(singleton(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_140, c_0_170]), ['final']).
cnf(c_0_235,negated_conjecture,(existent(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_141, c_0_122]), ['final']).
cnf(c_0_236,negated_conjecture,(impartial(esk1_0,esk4_0)), inference(spm,[status(thm)],[c_0_143, c_0_83]), ['final']).
cnf(c_0_237,negated_conjecture,(singleton(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_140, c_0_171]), ['final']).
cnf(c_0_238,negated_conjecture,(general(esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_142, c_0_126]), ['final']).
cnf(c_0_239,negated_conjecture,(singleton(esk1_0,esk5_0)), inference(spm,[status(thm)],[c_0_140, c_0_172]), ['final']).
cnf(c_0_240,negated_conjecture,(act(esk1_0,esk5_0)), inference(spm,[status(thm)],[c_0_139, c_0_173]), ['final']).
cnf(c_0_241,negated_conjecture,(singleton(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_140, c_0_174]), ['final']).
cnf(c_0_242,negated_conjecture,(existent(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_141, c_0_131]), ['final']).
cnf(c_0_243,negated_conjecture,(impartial(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_144, c_0_95]), ['final']).
cnf(c_0_244,negated_conjecture,(living(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_145, c_0_95]), ['final']).
cnf(c_0_245,negated_conjecture,(human(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_146, c_0_74]), ['final']).
cnf(c_0_246,negated_conjecture,(animate(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_147, c_0_74]), ['final']).
cnf(c_0_247,negated_conjecture,(female(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_149, c_0_64]), ['final']).
cnf(c_0_248,negated_conjecture,(patient(esk1_0,esk5_0,esk4_0)), c_0_168, ['final']).
cnf(c_0_249,negated_conjecture,(agent(esk1_0,esk5_0,esk2_0)), c_0_175, ['final']).
cnf(c_0_250,negated_conjecture,(of(esk1_0,esk3_0,esk2_0)), c_0_138, ['final']).
cnf(c_0_251,negated_conjecture,(past(esk1_0,esk5_0)), c_0_176, ['final']).
cnf(c_0_252,negated_conjecture,(nonreflexive(esk1_0,esk5_0)), c_0_169, ['final']).
cnf(c_0_253,negated_conjecture,(event(esk1_0,esk5_0)), c_0_92, ['final']).
cnf(c_0_254,negated_conjecture,(order(esk1_0,esk5_0)), c_0_173, ['final']).
cnf(c_0_255,negated_conjecture,(shake_beverage(esk1_0,esk4_0)), c_0_50, ['final']).
cnf(c_0_256,negated_conjecture,(forename(esk1_0,esk3_0)), c_0_61, ['final']).
cnf(c_0_257,negated_conjecture,(mia_forename(esk1_0,esk3_0)), c_0_177, ['final']).
cnf(c_0_258,negated_conjecture,(woman(esk1_0,esk2_0)), c_0_64, ['final']).
cnf(c_0_259,negated_conjecture,(actual_world(esk1_0)), c_0_178, ['final']).
# SZS output end Saturation.
# No SInE strategy applied
# Trying AutoSched0 for 151 seconds
# AutoSched0-Mode selected heuristic H_____047_C18_F1_PI_AE_R8_CS_SP_S2S
# and selection function SelectNewComplexAHP.
#
# No proof found!
# SZS status Satisfiable
# SZS output start Saturation.
fof(c_0_0, axiom, (![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:![X7]:((((message(sent(X1,t,triple(X1,X2,encrypt(triple(X3,X4,X5),X6))))&t_holds(key(X6,X1)))&t_holds(key(X7,X3)))&a_nonce(X4))=>message(sent(t,X3,triple(encrypt(quadruple(X1,X4,generate_key(X4),X5),X7),encrypt(triple(X3,generate_key(X4),X5),X6),X2))))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', server_t_generates_key)).
fof(c_0_1, axiom, (![X1]:![X2]:((message(sent(X1,b,pair(X1,X2)))&fresh_to_b(X2))=>(message(sent(b,t,triple(b,generate_b_nonce(X2),encrypt(triple(X1,X2,generate_expiration_time(X2)),bt))))&b_stored(pair(X1,X2))))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', b_creates_freash_nonces_in_time)).
fof(c_0_2, axiom, (t_holds(key(bt,b))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', t_holds_key_bt_for_b)).
fof(c_0_3, axiom, (![X1]:![X2]:![X3]:(message(sent(X1,X2,X3))=>intruder_message(X3))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_can_record)).
fof(c_0_4, axiom, (message(sent(a,b,pair(a,an_a_nonce)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', a_sent_message_i_to_b)).
fof(c_0_5, axiom, (fresh_to_b(an_a_nonce)), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', nonce_a_is_fresh_to_b)).
fof(c_0_6, axiom, (![X1]:![X2]:![X3]:![X4]:![X5]:![X6]:((message(sent(t,a,triple(encrypt(quadruple(X5,X6,X3,X2),at),X4,X1)))&a_stored(pair(X5,X6)))=>(message(sent(a,X5,pair(X4,encrypt(X1,X3))))&a_holds(key(X3,X5))))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', a_forwards_secure)).
fof(c_0_7, axiom, (t_holds(key(at,a))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', t_holds_key_at_for_a)).
fof(c_0_8, axiom, (![X1]:![X2]:![X3]:(((intruder_message(X1)&party_of_protocol(X2))&party_of_protocol(X3))=>message(sent(X2,X3,X1)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_message_sent)).
fof(c_0_9, axiom, (![X1]:![X2]:![X3]:(intruder_message(triple(X1,X2,X3))=>((intruder_message(X1)&intruder_message(X2))&intruder_message(X3)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_decomposes_triples)).
fof(c_0_10, axiom, (a_stored(pair(b,an_a_nonce))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', a_stored_message_i)).
fof(c_0_11, axiom, (a_nonce(an_a_nonce)), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', an_a_nonce_is_a_nonce)).
fof(c_0_12, axiom, (party_of_protocol(b)), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', b_is_party_of_protocol)).
fof(c_0_13, axiom, (![X1]:![X2]:((intruder_message(X1)&intruder_message(X2))=>intruder_message(pair(X1,X2)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_composes_pairs)).
fof(c_0_14, axiom, (party_of_protocol(t)), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', t_is_party_of_protocol)).
fof(c_0_15, axiom, (![X1]:![X2]:![X3]:(((intruder_message(X1)&intruder_message(X2))&intruder_message(X3))=>intruder_message(triple(X1,X2,X3)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_composes_triples)).
fof(c_0_16, axiom, (party_of_protocol(a)), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', a_is_party_of_protocol)).
fof(c_0_17, axiom, (![X2]:![X4]:![X5]:(((message(sent(X4,b,pair(encrypt(triple(X4,X2,generate_expiration_time(X5)),bt),encrypt(generate_b_nonce(X5),X2))))&a_key(X2))&b_stored(pair(X4,X5)))=>b_holds(key(X2,X4)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', b_accepts_secure_session_key)).
fof(c_0_18, axiom, (![X1]:![X2]:(intruder_message(pair(X1,X2))=>(intruder_message(X1)&intruder_message(X2)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_decomposes_pairs)).
fof(c_0_19, axiom, (![X1]:![X2]:![X3]:(((intruder_message(X1)&intruder_holds(key(X2,X3)))&party_of_protocol(X3))=>intruder_message(encrypt(X1,X2)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_key_encrypts)).
fof(c_0_20, axiom, (![X2]:![X3]:((intruder_message(X2)&party_of_protocol(X3))=>intruder_holds(key(X2,X3)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_holds_key)).
fof(c_0_21, axiom, (![X1]:a_key(generate_key(X1))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', generated_keys_are_keys)).
fof(c_0_22, axiom, (![X1]:~(a_nonce(generate_key(X1)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', generated_keys_are_not_nonces)).
fof(c_0_23, axiom, (![X1]:(fresh_intruder_nonce(X1)=>(fresh_to_b(X1)&intruder_message(X1)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', fresh_intruder_nonces_are_fresh_to_b)).
fof(c_0_24, axiom, (![X1]:(fresh_intruder_nonce(X1)=>fresh_intruder_nonce(generate_intruder_nonce(X1)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', can_generate_more_fresh_intruder_nonces)).
fof(c_0_25, axiom, (![X1]:![X2]:![X3]:(((intruder_message(encrypt(X1,X2))&intruder_holds(key(X2,X3)))&party_of_protocol(X3))=>intruder_message(X2))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_interception)).
fof(c_0_26, axiom, (![X1]:![X2]:![X3]:![X4]:(intruder_message(quadruple(X1,X2,X3,X4))=>(((intruder_message(X1)&intruder_message(X2))&intruder_message(X3))&intruder_message(X4)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_decomposes_quadruples)).
fof(c_0_27, axiom, (![X1]:![X2]:![X3]:![X4]:((((intruder_message(X1)&intruder_message(X2))&intruder_message(X3))&intruder_message(X4))=>intruder_message(quadruple(X1,X2,X3,X4)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', intruder_composes_quadruples)).
fof(c_0_28, axiom, (![X1]:~((a_key(X1)&a_nonce(X1)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', nothing_is_a_nonce_and_a_key)).
fof(c_0_29, axiom, (![X1]:(a_nonce(generate_expiration_time(X1))&a_nonce(generate_b_nonce(X1)))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', generated_times_and_nonces_are_nonces)).
fof(c_0_30, axiom, (fresh_intruder_nonce(an_intruder_nonce)), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', an_intruder_nonce_is_a_fresh_intruder_nonce)).
fof(c_0_31, axiom, (b_holds(key(bt,t))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', b_hold_key_bt_for_t)).
fof(c_0_32, axiom, (a_holds(key(at,t))), file('/Users/schulz/EPROVER/TPTP_6.0.0_FLAT/SWV017+1.p', a_holds_key_at_for_t)).
fof(c_0_33, plain, (![X8]:![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:((((~message(sent(X8,t,triple(X8,X9,encrypt(triple(X10,X11,X12),X13))))|~t_holds(key(X13,X8)))|~t_holds(key(X14,X10)))|~a_nonce(X11))|message(sent(t,X10,triple(encrypt(quadruple(X8,X11,generate_key(X11),X12),X14),encrypt(triple(X10,generate_key(X11),X12),X13),X9))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_0])])).
fof(c_0_34, plain, (![X3]:![X4]:((message(sent(b,t,triple(b,generate_b_nonce(X4),encrypt(triple(X3,X4,generate_expiration_time(X4)),bt))))|(~message(sent(X3,b,pair(X3,X4)))|~fresh_to_b(X4)))&(b_stored(pair(X3,X4))|(~message(sent(X3,b,pair(X3,X4)))|~fresh_to_b(X4))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])).
cnf(c_0_35,plain,(message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))|~a_nonce(X3)|~t_holds(key(X5,X1))|~t_holds(key(X6,X2))|~message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6))))), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_36,plain,(t_holds(key(bt,b))), inference(split_conjunct,[status(thm)],[c_0_2])).
fof(c_0_37, plain, (![X4]:![X5]:![X6]:(~message(sent(X4,X5,X6))|intruder_message(X6))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])).
cnf(c_0_38,plain,(message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))|~fresh_to_b(X1)|~message(sent(X2,b,pair(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_39,plain,(message(sent(a,b,pair(a,an_a_nonce)))), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_40,plain,(fresh_to_b(an_a_nonce)), inference(split_conjunct,[status(thm)],[c_0_5])).
fof(c_0_41, plain, (![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:((message(sent(a,X11,pair(X10,encrypt(X7,X9))))|(~message(sent(t,a,triple(encrypt(quadruple(X11,X12,X9,X8),at),X10,X7)))|~a_stored(pair(X11,X12))))&(a_holds(key(X9,X11))|(~message(sent(t,a,triple(encrypt(quadruple(X11,X12,X9,X8),at),X10,X7)))|~a_stored(pair(X11,X12)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])).
cnf(c_0_42,plain,(message(sent(t,X1,triple(encrypt(quadruple(b,X2,generate_key(X2),X3),X4),encrypt(triple(X1,generate_key(X2),X3),bt),X5)))|~a_nonce(X2)|~t_holds(key(X4,X1))|~message(sent(b,t,triple(b,X5,encrypt(triple(X1,X2,X3),bt))))), inference(spm,[status(thm)],[c_0_35, c_0_36]), ['final']).
cnf(c_0_43,plain,(t_holds(key(at,a))), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_44, plain, (![X4]:![X5]:![X6]:(((~intruder_message(X4)|~party_of_protocol(X5))|~party_of_protocol(X6))|message(sent(X5,X6,X4)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])).
fof(c_0_45, plain, (![X4]:![X5]:![X6]:(((intruder_message(X4)|~intruder_message(triple(X4,X5,X6)))&(intruder_message(X5)|~intruder_message(triple(X4,X5,X6))))&(intruder_message(X6)|~intruder_message(triple(X4,X5,X6))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
cnf(c_0_46,plain,(intruder_message(X1)|~message(sent(X2,X3,X1))), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_47,plain,(message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])]), ['final']).
cnf(c_0_48,plain,(message(sent(a,X1,pair(X5,encrypt(X6,X3))))|~a_stored(pair(X1,X2))|~message(sent(t,a,triple(encrypt(quadruple(X1,X2,X3,X4),at),X5,X6)))), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_49,plain,(a_stored(pair(b,an_a_nonce))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_50,plain,(message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3)))|~a_nonce(X1)|~message(sent(b,t,triple(b,X3,encrypt(triple(a,X1,X2),bt))))), inference(spm,[status(thm)],[c_0_42, c_0_43]), ['final']).
cnf(c_0_51,plain,(a_nonce(an_a_nonce)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_52,plain,(b_stored(pair(X2,X1))|~fresh_to_b(X1)|~message(sent(X2,b,pair(X2,X1)))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_53,plain,(message(sent(X1,X2,X3))|~party_of_protocol(X2)|~party_of_protocol(X1)|~intruder_message(X3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_54,plain,(party_of_protocol(b)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_55, plain, (![X3]:![X4]:((~intruder_message(X3)|~intruder_message(X4))|intruder_message(pair(X3,X4)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])).
cnf(c_0_56,plain,(party_of_protocol(t)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_57, plain, (![X4]:![X5]:![X6]:(((~intruder_message(X4)|~intruder_message(X5))|~intruder_message(X6))|intruder_message(triple(X4,X5,X6)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])).
cnf(c_0_58,plain,(intruder_message(X1)|~intruder_message(triple(X1,X2,X3))), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_59,plain,(intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))), inference(spm,[status(thm)],[c_0_46, c_0_47]), ['final']).
cnf(c_0_60,plain,(message(sent(a,b,pair(X1,encrypt(X2,X3))))|~message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,X3,X4),at),X1,X2)))), inference(spm,[status(thm)],[c_0_48, c_0_49]), ['final']).
cnf(c_0_61,plain,(party_of_protocol(a)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_62,plain,(message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_47]), c_0_51])]), ['final']).
fof(c_0_63, plain, (![X6]:![X7]:![X8]:(((~message(sent(X7,b,pair(encrypt(triple(X7,X6,generate_expiration_time(X8)),bt),encrypt(generate_b_nonce(X8),X6))))|~a_key(X6))|~b_stored(pair(X7,X8)))|b_holds(key(X6,X7)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])).
cnf(c_0_64,plain,(b_stored(pair(X1,X2))|~intruder_message(pair(X1,X2))|~fresh_to_b(X2)|~party_of_protocol(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54])]), ['final']).
cnf(c_0_65,plain,(intruder_message(pair(X1,X2))|~intruder_message(X2)|~intruder_message(X1)), inference(split_conjunct,[status(thm)],[c_0_55])).
fof(c_0_66, plain, (![X3]:![X4]:((intruder_message(X3)|~intruder_message(pair(X3,X4)))&(intruder_message(X4)|~intruder_message(pair(X3,X4))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
cnf(c_0_67,plain,(message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3)))|~intruder_message(triple(b,X3,encrypt(triple(a,X1,X2),bt)))|~a_nonce(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_53]), c_0_56]), c_0_54])]), ['final']).
cnf(c_0_68,plain,(intruder_message(triple(X1,X2,X3))|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_69,plain,(intruder_message(b)), inference(spm,[status(thm)],[c_0_58, c_0_59]), ['final']).
cnf(c_0_70,plain,(intruder_message(X3)|~intruder_message(triple(X1,X2,X3))), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_71,plain,(message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))|~intruder_message(pair(X2,X1))|~fresh_to_b(X1)|~party_of_protocol(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_53]), c_0_54])]), ['final']).
cnf(c_0_72,plain,(message(sent(a,b,pair(X1,encrypt(X2,X3))))|~intruder_message(triple(encrypt(quadruple(b,an_a_nonce,X3,X4),at),X1,X2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_53]), c_0_61]), c_0_56])]), ['final']).
cnf(c_0_73,plain,(intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))), inference(spm,[status(thm)],[c_0_46, c_0_62]), ['final']).
cnf(c_0_74,plain,(b_holds(key(X1,X2))|~b_stored(pair(X2,X3))|~a_key(X1)|~message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1))))), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_75,plain,(b_stored(pair(X1,X2))|~intruder_message(X2)|~intruder_message(X1)|~fresh_to_b(X2)|~party_of_protocol(X1)), inference(spm,[status(thm)],[c_0_64, c_0_65]), ['final']).
fof(c_0_76, plain, (![X4]:![X5]:![X6]:(((~intruder_message(X4)|~intruder_holds(key(X5,X6)))|~party_of_protocol(X6))|intruder_message(encrypt(X4,X5)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])).
fof(c_0_77, plain, (![X4]:![X5]:((~intruder_message(X4)|~party_of_protocol(X5))|intruder_holds(key(X4,X5)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])).
cnf(c_0_78,plain,(intruder_message(X1)|~intruder_message(pair(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_79,plain,(intruder_message(pair(a,an_a_nonce))), inference(spm,[status(thm)],[c_0_46, c_0_39]), ['final']).
cnf(c_0_80,plain,(b_stored(pair(a,an_a_nonce))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_39]), c_0_40])]), ['final']).
cnf(c_0_81,plain,(message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3)))|~intruder_message(encrypt(triple(a,X1,X2),bt))|~intruder_message(X3)|~a_nonce(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_69])]), ['final']).
cnf(c_0_82,plain,(intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))), inference(spm,[status(thm)],[c_0_70, c_0_59]), ['final']).
cnf(c_0_83,plain,(message(sent(t,X1,triple(encrypt(quadruple(a,X2,generate_key(X2),X3),X4),encrypt(triple(X1,generate_key(X2),X3),at),X5)))|~a_nonce(X2)|~t_holds(key(X4,X1))|~message(sent(a,t,triple(a,X5,encrypt(triple(X1,X2,X3),at))))), inference(spm,[status(thm)],[c_0_35, c_0_43]), ['final']).
cnf(c_0_84,plain,(message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))|~intruder_message(X1)|~intruder_message(X2)|~fresh_to_b(X1)|~party_of_protocol(X2)), inference(spm,[status(thm)],[c_0_71, c_0_65]), ['final']).
cnf(c_0_85,plain,(message(sent(a,b,pair(X1,encrypt(X2,X3))))|~intruder_message(encrypt(quadruple(b,an_a_nonce,X3,X4),at))|~intruder_message(X2)|~intruder_message(X1)), inference(spm,[status(thm)],[c_0_72, c_0_68]), ['final']).
cnf(c_0_86,plain,(intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at))), inference(spm,[status(thm)],[c_0_58, c_0_73]), ['final']).
cnf(c_0_87,plain,(b_holds(key(X1,X2))|~intruder_message(X3)|~intruder_message(X2)|~a_key(X1)|~fresh_to_b(X3)|~message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1))))|~party_of_protocol(X2)), inference(spm,[status(thm)],[c_0_74, c_0_75]), ['final']).
cnf(c_0_88,plain,(intruder_message(encrypt(X1,X2))|~party_of_protocol(X3)|~intruder_holds(key(X2,X3))|~intruder_message(X1)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_89,plain,(intruder_holds(key(X1,X2))|~party_of_protocol(X2)|~intruder_message(X1)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_90,plain,(intruder_message(a)), inference(spm,[status(thm)],[c_0_78, c_0_79]), ['final']).
cnf(c_0_91,plain,(message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))))), inference(spm,[status(thm)],[c_0_60, c_0_62]), ['final']).
cnf(c_0_92,plain,(message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3)))|~a_nonce(X1)|~message(sent(b,t,triple(b,X3,encrypt(triple(b,X1,X2),bt))))), inference(spm,[status(thm)],[c_0_42, c_0_36]), ['final']).
cnf(c_0_93,plain,(b_holds(key(X1,a))|~a_key(X1)|~message(sent(a,b,pair(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X1))))), inference(spm,[status(thm)],[c_0_74, c_0_80]), ['final']).
cnf(c_0_94,plain,(a_holds(key(X3,X1))|~a_stored(pair(X1,X2))|~message(sent(t,a,triple(encrypt(quadruple(X1,X2,X3,X4),at),X5,X6)))), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_95,plain,(message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),X1)))|~intruder_message(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_51])]), ['final']).
cnf(c_0_96,plain,(message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3)))|~a_nonce(X1)|~message(sent(a,t,triple(a,X3,encrypt(triple(a,X1,X2),at))))), inference(spm,[status(thm)],[c_0_83, c_0_43]), ['final']).
cnf(c_0_97,plain,(intruder_message(triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt)))|~intruder_message(X1)|~intruder_message(X2)|~fresh_to_b(X1)|~party_of_protocol(X2)), inference(spm,[status(thm)],[c_0_46, c_0_84]), ['final']).
cnf(c_0_98,plain,(message(sent(a,b,pair(X1,encrypt(X2,generate_key(an_a_nonce)))))|~intruder_message(X2)|~intruder_message(X1)), inference(spm,[status(thm)],[c_0_85, c_0_86]), ['final']).
cnf(c_0_99,plain,(message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3)))|~a_nonce(X1)|~message(sent(a,t,triple(a,X3,encrypt(triple(b,X1,X2),at))))), inference(spm,[status(thm)],[c_0_83, c_0_36]), ['final']).
cnf(c_0_100,plain,(b_holds(key(X1,X2))|~intruder_message(pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1)))|~intruder_message(X3)|~intruder_message(X2)|~a_key(X1)|~fresh_to_b(X3)|~party_of_protocol(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_53]), c_0_54])]), ['final']).
cnf(c_0_101,plain,(intruder_message(encrypt(X1,X2))|~intruder_message(X1)|~intruder_message(X2)|~party_of_protocol(X3)), inference(spm,[status(thm)],[c_0_88, c_0_89])).
cnf(c_0_102,plain,(intruder_message(X2)|~intruder_message(triple(X1,X2,X3))), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_103,plain,(message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at),encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt),generate_b_nonce(X1))))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_84]), c_0_90]), c_0_61])]), ['final']).
fof(c_0_104, plain, (![X2]:a_key(generate_key(X2))), inference(variable_rename,[status(thm)],[c_0_21])).
cnf(c_0_105,plain,(intruder_message(X2)|~intruder_message(pair(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_106,plain,(intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))))), inference(spm,[status(thm)],[c_0_46, c_0_91]), ['final']).
cnf(c_0_107,plain,(message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3)))|~intruder_message(triple(b,X3,encrypt(triple(b,X1,X2),bt)))|~a_nonce(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_53]), c_0_56]), c_0_54])]), ['final']).
cnf(c_0_108,plain,(message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt),encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt),generate_b_nonce(X1))))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_84]), c_0_69]), c_0_54])]), ['final']).
cnf(c_0_109,plain,(b_holds(key(X1,a))|~intruder_message(pair(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X1)))|~a_key(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_53]), c_0_54]), c_0_61])]), ['final']).
cnf(c_0_110,plain,(a_holds(key(X1,b))|~message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,X1,X2),at),X3,X4)))), inference(spm,[status(thm)],[c_0_94, c_0_49]), ['final']).
fof(c_0_111, plain, (![X1]:~a_nonce(generate_key(X1))), inference(fof_simplification,[status(thm)],[c_0_22])).
fof(c_0_112, plain, (![X2]:((fresh_to_b(X2)|~fresh_intruder_nonce(X2))&(intruder_message(X2)|~fresh_intruder_nonce(X2)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
cnf(c_0_113,plain,(message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X1,generate_key(an_a_nonce)))))|~intruder_message(X1)), inference(spm,[status(thm)],[c_0_60, c_0_95]), ['final']).
cnf(c_0_114,plain,(message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3)))|~intruder_message(triple(a,X3,encrypt(triple(a,X1,X2),at)))|~a_nonce(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_53]), c_0_56]), c_0_61])]), ['final']).
cnf(c_0_115,plain,(intruder_message(encrypt(triple(X1,X2,generate_expiration_time(X2)),bt))|~intruder_message(X2)|~intruder_message(X1)|~fresh_to_b(X2)|~party_of_protocol(X1)), inference(spm,[status(thm)],[c_0_70, c_0_97]), ['final']).
cnf(c_0_116,plain,(intruder_message(pair(X1,encrypt(X2,generate_key(an_a_nonce))))|~intruder_message(X2)|~intruder_message(X1)), inference(spm,[status(thm)],[c_0_46, c_0_98]), ['final']).
cnf(c_0_117,plain,(message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3)))|~intruder_message(triple(a,X3,encrypt(triple(b,X1,X2),at)))|~a_nonce(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_53]), c_0_56]), c_0_61])]), ['final']).
cnf(c_0_118,plain,(b_holds(key(X1,X2))|~intruder_message(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt))|~intruder_message(encrypt(generate_b_nonce(X3),X1))|~intruder_message(X3)|~intruder_message(X2)|~a_key(X1)|~fresh_to_b(X3)|~party_of_protocol(X2)), inference(spm,[status(thm)],[c_0_100, c_0_65]), ['final']).
cnf(c_0_119,plain,(intruder_message(encrypt(X1,X2))|~intruder_message(X1)|~intruder_message(X2)), inference(spm,[status(thm)],[c_0_101, c_0_54]), ['final']).
cnf(c_0_120,plain,(intruder_message(generate_b_nonce(X1))|~intruder_message(X1)|~intruder_message(X2)|~fresh_to_b(X1)|~party_of_protocol(X2)), inference(spm,[status(thm)],[c_0_102, c_0_97]), ['final']).
cnf(c_0_121,plain,(intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at),encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt),generate_b_nonce(X1)))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(spm,[status(thm)],[c_0_46, c_0_103]), ['final']).
cnf(c_0_122,plain,(a_key(generate_key(X1))), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_123,plain,(intruder_message(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))), inference(spm,[status(thm)],[c_0_105, c_0_106]), ['final']).
cnf(c_0_124,plain,(intruder_message(an_a_nonce)), inference(spm,[status(thm)],[c_0_105, c_0_79]), ['final']).
cnf(c_0_125,plain,(message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3)))|~intruder_message(encrypt(triple(b,X1,X2),bt))|~intruder_message(X3)|~a_nonce(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_68]), c_0_69])]), ['final']).
cnf(c_0_126,plain,(intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt),encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt),generate_b_nonce(X1)))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(spm,[status(thm)],[c_0_46, c_0_108]), ['final']).
cnf(c_0_127,plain,(b_holds(key(X1,a))|~intruder_message(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt))|~intruder_message(encrypt(generate_b_nonce(an_a_nonce),X1))|~a_key(X1)), inference(spm,[status(thm)],[c_0_109, c_0_65]), ['final']).
cnf(c_0_128,plain,(intruder_message(generate_b_nonce(an_a_nonce))), inference(spm,[status(thm)],[c_0_102, c_0_59]), ['final']).
cnf(c_0_129,plain,(a_holds(key(X1,b))|~intruder_message(triple(encrypt(quadruple(b,an_a_nonce,X1,X2),at),X3,X4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_53]), c_0_61]), c_0_56])]), ['final']).
fof(c_0_130, plain, (![X2]:(~fresh_intruder_nonce(X2)|fresh_intruder_nonce(generate_intruder_nonce(X2)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])).
fof(c_0_131, plain, (![X4]:![X5]:![X6]:(((~intruder_message(encrypt(X4,X5))|~intruder_holds(key(X5,X6)))|~party_of_protocol(X6))|intruder_message(X5))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])).
fof(c_0_132, plain, (![X5]:![X6]:![X7]:![X8]:((((intruder_message(X5)|~intruder_message(quadruple(X5,X6,X7,X8)))&(intruder_message(X6)|~intruder_message(quadruple(X5,X6,X7,X8))))&(intruder_message(X7)|~intruder_message(quadruple(X5,X6,X7,X8))))&(intruder_message(X8)|~intruder_message(quadruple(X5,X6,X7,X8))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
fof(c_0_133, plain, (![X5]:![X6]:![X7]:![X8]:((((~intruder_message(X5)|~intruder_message(X6))|~intruder_message(X7))|~intruder_message(X8))|intruder_message(quadruple(X5,X6,X7,X8)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])).
fof(c_0_134, plain, (![X2]:(~a_key(X2)|~a_nonce(X2))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])).
fof(c_0_135, plain, (![X2]:~a_nonce(generate_key(X2))), inference(variable_rename,[status(thm)],[c_0_111])).
fof(c_0_136, plain, (![X2]:![X3]:(a_nonce(generate_expiration_time(X2))&a_nonce(generate_b_nonce(X3)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_29])])])).
cnf(c_0_137,plain,(message(sent(b,t,triple(b,generate_b_nonce(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))),encrypt(triple(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)),generate_expiration_time(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))),bt))))|~fresh_to_b(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))|~party_of_protocol(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))), inference(spm,[status(thm)],[c_0_71, c_0_106]), ['final']).
cnf(c_0_138,plain,(fresh_to_b(X1)|~fresh_intruder_nonce(X1)), inference(split_conjunct,[status(thm)],[c_0_112])).
cnf(c_0_139,plain,(intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X1,generate_key(an_a_nonce))))|~intruder_message(X1)), inference(spm,[status(thm)],[c_0_46, c_0_113]), ['final']).
cnf(c_0_140,plain,(message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3)))|~intruder_message(encrypt(triple(a,X1,X2),at))|~intruder_message(X3)|~a_nonce(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_68]), c_0_90])]), ['final']).
cnf(c_0_141,plain,(message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at),encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt),X2)))|~intruder_message(X2)|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_115]), c_0_90]), c_0_61])]), ['final']).
cnf(c_0_142,plain,(message(sent(b,t,triple(b,generate_b_nonce(encrypt(X1,generate_key(an_a_nonce))),encrypt(triple(X2,encrypt(X1,generate_key(an_a_nonce)),generate_expiration_time(encrypt(X1,generate_key(an_a_nonce)))),bt))))|~intruder_message(X1)|~intruder_message(X2)|~fresh_to_b(encrypt(X1,generate_key(an_a_nonce)))|~party_of_protocol(X2)), inference(spm,[status(thm)],[c_0_71, c_0_116]), ['final']).
cnf(c_0_143,plain,(message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3)))|~intruder_message(encrypt(triple(b,X1,X2),at))|~intruder_message(X3)|~a_nonce(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_68]), c_0_90])]), ['final']).
cnf(c_0_144,plain,(b_holds(key(X1,X2))|~intruder_message(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt))|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1)|~a_key(X1)|~fresh_to_b(X3)|~party_of_protocol(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_119]), c_0_120]), ['final']).
cnf(c_0_145,plain,(intruder_message(encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(spm,[status(thm)],[c_0_102, c_0_121]), ['final']).
cnf(c_0_146,plain,(b_stored(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))))|~fresh_to_b(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))|~party_of_protocol(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))), inference(spm,[status(thm)],[c_0_64, c_0_106]), ['final']).
cnf(c_0_147,plain,(message(sent(b,t,triple(b,generate_b_nonce(encrypt(X1,generate_key(an_a_nonce))),encrypt(triple(a,encrypt(X1,generate_key(an_a_nonce)),generate_expiration_time(encrypt(X1,generate_key(an_a_nonce)))),bt))))|~intruder_message(X1)|~fresh_to_b(encrypt(X1,generate_key(an_a_nonce)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_98]), c_0_90])]), ['final']).
cnf(c_0_148,plain,(b_holds(key(generate_key(an_a_nonce),X1))|~intruder_message(encrypt(triple(X1,generate_key(an_a_nonce),generate_expiration_time(X2)),bt))|~intruder_message(X2)|~intruder_message(X1)|~fresh_to_b(X2)|~party_of_protocol(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_116]), c_0_122])]), c_0_120]), ['final']).
cnf(c_0_149,plain,(intruder_message(encrypt(X1,generate_key(an_a_nonce)))|~intruder_message(X1)|~intruder_message(X2)), inference(spm,[status(thm)],[c_0_105, c_0_116])).
cnf(c_0_150,plain,(b_stored(pair(X1,encrypt(X2,generate_key(an_a_nonce))))|~intruder_message(X2)|~intruder_message(X1)|~fresh_to_b(encrypt(X2,generate_key(an_a_nonce)))|~party_of_protocol(X1)), inference(spm,[status(thm)],[c_0_64, c_0_116]), ['final']).
cnf(c_0_151,plain,(b_stored(pair(a,encrypt(X1,generate_key(an_a_nonce))))|~intruder_message(X1)|~fresh_to_b(encrypt(X1,generate_key(an_a_nonce)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_98]), c_0_90])]), ['final']).
cnf(c_0_152,plain,(b_holds(key(generate_key(an_a_nonce),X1))|~intruder_message(encrypt(triple(X1,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))|~intruder_message(X1)|~party_of_protocol(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_123]), c_0_124]), c_0_122]), c_0_40])]), ['final']).
cnf(c_0_153,plain,(message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt),encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt),X2)))|~intruder_message(X2)|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_115]), c_0_69]), c_0_54])]), ['final']).
cnf(c_0_154,plain,(intruder_message(encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(spm,[status(thm)],[c_0_102, c_0_126]), ['final']).
cnf(c_0_155,plain,(b_holds(key(X1,a))|~intruder_message(encrypt(triple(a,X1,generate_expiration_time(an_a_nonce)),bt))|~intruder_message(X1)|~a_key(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127, c_0_119]), c_0_128])]), ['final']).
cnf(c_0_156,plain,(a_holds(key(X1,b))|~intruder_message(encrypt(quadruple(b,an_a_nonce,X1,X2),at))|~intruder_message(X3)|~intruder_message(X4)), inference(spm,[status(thm)],[c_0_129, c_0_68]), ['final']).
cnf(c_0_157,plain,(intruder_message(X1)|~fresh_intruder_nonce(X1)), inference(split_conjunct,[status(thm)],[c_0_112])).
cnf(c_0_158,plain,(fresh_intruder_nonce(generate_intruder_nonce(X1))|~fresh_intruder_nonce(X1)), inference(split_conjunct,[status(thm)],[c_0_130])).
cnf(c_0_159,plain,(intruder_message(X1)|~party_of_protocol(X2)|~intruder_holds(key(X1,X2))|~intruder_message(encrypt(X3,X1))), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_160,plain,(intruder_message(X1)|~intruder_message(quadruple(X1,X2,X3,X4))), inference(split_conjunct,[status(thm)],[c_0_132])).
cnf(c_0_161,plain,(intruder_message(X2)|~intruder_message(quadruple(X1,X2,X3,X4))), inference(split_conjunct,[status(thm)],[c_0_132])).
cnf(c_0_162,plain,(intruder_message(quadruple(X1,X2,X3,X4))|~intruder_message(X4)|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1)), inference(split_conjunct,[status(thm)],[c_0_133])).
cnf(c_0_163,plain,(intruder_message(X3)|~intruder_message(quadruple(X1,X2,X3,X4))), inference(split_conjunct,[status(thm)],[c_0_132])).
cnf(c_0_164,plain,(intruder_message(X4)|~intruder_message(quadruple(X1,X2,X3,X4))), inference(split_conjunct,[status(thm)],[c_0_132])).
cnf(c_0_165,plain,(~a_nonce(X1)|~a_key(X1)), inference(split_conjunct,[status(thm)],[c_0_134])).
cnf(c_0_166,plain,(~a_nonce(generate_key(X1))), inference(split_conjunct,[status(thm)],[c_0_135])).
cnf(c_0_167,plain,(fresh_intruder_nonce(an_intruder_nonce)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_168,plain,(b_holds(key(bt,t))), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_169,plain,(a_holds(key(at,t))), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_170,plain,(a_nonce(generate_expiration_time(X1))), inference(split_conjunct,[status(thm)],[c_0_136])).
cnf(c_0_171,plain,(a_nonce(generate_b_nonce(X1))), inference(split_conjunct,[status(thm)],[c_0_136])).
cnf(c_0_172,plain,(message(sent(b,t,triple(b,generate_b_nonce(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))),encrypt(triple(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)),generate_expiration_time(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))),bt))))|~fresh_intruder_nonce(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))|~party_of_protocol(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))), inference(spm,[status(thm)],[c_0_137, c_0_138]), ['final']).
cnf(c_0_173,plain,(message(sent(b,t,triple(b,generate_b_nonce(encrypt(X1,generate_key(an_a_nonce))),encrypt(triple(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X1,generate_key(an_a_nonce)),generate_expiration_time(encrypt(X1,generate_key(an_a_nonce)))),bt))))|~intruder_message(X1)|~fresh_to_b(encrypt(X1,generate_key(an_a_nonce)))|~party_of_protocol(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))), inference(spm,[status(thm)],[c_0_71, c_0_139]), ['final']).
cnf(c_0_174,plain,(message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X3)))|~intruder_message(triple(a,X1,X2))|~intruder_message(at)|~intruder_message(X3)|~a_nonce(X1)), inference(spm,[status(thm)],[c_0_140, c_0_119]), ['final']).
cnf(c_0_175,plain,(intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at),encrypt(triple(a,generate_key(X1),generate_expiration_time(X1)),bt),X2))|~intruder_message(X2)|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(spm,[status(thm)],[c_0_46, c_0_141]), ['final']).
cnf(c_0_176,plain,(b_stored(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X1,generate_key(an_a_nonce))))|~intruder_message(X1)|~fresh_to_b(encrypt(X1,generate_key(an_a_nonce)))|~party_of_protocol(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))), inference(spm,[status(thm)],[c_0_64, c_0_139]), ['final']).
cnf(c_0_177,plain,(message(sent(b,t,triple(b,generate_b_nonce(encrypt(X1,generate_key(an_a_nonce))),encrypt(triple(X2,encrypt(X1,generate_key(an_a_nonce)),generate_expiration_time(encrypt(X1,generate_key(an_a_nonce)))),bt))))|~fresh_intruder_nonce(encrypt(X1,generate_key(an_a_nonce)))|~intruder_message(X1)|~intruder_message(X2)|~party_of_protocol(X2)), inference(spm,[status(thm)],[c_0_142, c_0_138]), ['final']).
cnf(c_0_178,plain,(intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),X1))|~intruder_message(X1)), inference(spm,[status(thm)],[c_0_46, c_0_95]), ['final']).
cnf(c_0_179,plain,(message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X3)))|~intruder_message(triple(b,X1,X2))|~intruder_message(at)|~intruder_message(X3)|~a_nonce(X1)), inference(spm,[status(thm)],[c_0_143, c_0_119]), ['final']).
cnf(c_0_180,plain,(message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X3)))|~intruder_message(triple(a,X1,X2))|~intruder_message(bt)|~intruder_message(X3)|~a_nonce(X1)), inference(spm,[status(thm)],[c_0_81, c_0_119]), ['final']).
cnf(c_0_181,plain,(b_holds(key(generate_key(X1),a))|~intruder_message(generate_key(X1))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_145]), c_0_90]), c_0_122]), c_0_61])]), ['final']).
cnf(c_0_182,plain,(intruder_message(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),at))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(spm,[status(thm)],[c_0_58, c_0_121]), ['final']).
cnf(c_0_183,plain,(b_stored(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))))|~fresh_intruder_nonce(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))|~party_of_protocol(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))), inference(spm,[status(thm)],[c_0_146, c_0_138]), ['final']).
cnf(c_0_184,plain,(message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X3)))|~intruder_message(triple(b,X1,X2))|~intruder_message(bt)|~intruder_message(X3)|~a_nonce(X1)), inference(spm,[status(thm)],[c_0_125, c_0_119]), ['final']).
cnf(c_0_185,plain,(message(sent(b,t,triple(b,generate_b_nonce(encrypt(X1,generate_key(an_a_nonce))),encrypt(triple(a,encrypt(X1,generate_key(an_a_nonce)),generate_expiration_time(encrypt(X1,generate_key(an_a_nonce)))),bt))))|~fresh_intruder_nonce(encrypt(X1,generate_key(an_a_nonce)))|~intruder_message(X1)), inference(spm,[status(thm)],[c_0_147, c_0_138]), ['final']).
cnf(c_0_186,plain,(b_holds(key(generate_key(an_a_nonce),X1))|~intruder_message(triple(X1,generate_key(an_a_nonce),generate_expiration_time(X2)))|~intruder_message(bt)|~intruder_message(X2)|~fresh_to_b(X2)|~party_of_protocol(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148, c_0_119]), c_0_58]), ['final']).
cnf(c_0_187,plain,(b_holds(key(generate_key(an_a_nonce),X1))|~intruder_message(generate_key(an_a_nonce))|~intruder_message(X1)|~fresh_to_b(generate_key(an_a_nonce))|~party_of_protocol(X1)), inference(spm,[status(thm)],[c_0_148, c_0_115]), ['final']).
cnf(c_0_188,plain,(intruder_message(encrypt(X1,generate_key(an_a_nonce)))|~intruder_message(X1)), inference(spm,[status(thm)],[c_0_149, c_0_73]), ['final']).
cnf(c_0_189,plain,(b_stored(pair(X1,encrypt(X2,generate_key(an_a_nonce))))|~fresh_intruder_nonce(encrypt(X2,generate_key(an_a_nonce)))|~intruder_message(X2)|~intruder_message(X1)|~party_of_protocol(X1)), inference(spm,[status(thm)],[c_0_150, c_0_138]), ['final']).
cnf(c_0_190,plain,(b_stored(pair(a,encrypt(X1,generate_key(an_a_nonce))))|~fresh_intruder_nonce(encrypt(X1,generate_key(an_a_nonce)))|~intruder_message(X1)), inference(spm,[status(thm)],[c_0_151, c_0_138]), ['final']).
cnf(c_0_191,plain,(b_holds(key(generate_key(an_a_nonce),X1))|~intruder_message(triple(X1,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)))|~intruder_message(bt)|~party_of_protocol(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_119]), c_0_58]), ['final']).
cnf(c_0_192,plain,(intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt),encrypt(triple(b,generate_key(X1),generate_expiration_time(X1)),bt),X2))|~intruder_message(X2)|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(spm,[status(thm)],[c_0_46, c_0_153]), ['final']).
cnf(c_0_193,plain,(b_holds(key(X1,X2))|~intruder_message(X1)|~intruder_message(X2)|~a_key(X1)|~fresh_to_b(X1)|~party_of_protocol(X2)), inference(spm,[status(thm)],[c_0_144, c_0_115]), ['final']).
cnf(c_0_194,plain,(b_holds(key(X1,X2))|~intruder_message(triple(X2,X1,generate_expiration_time(X3)))|~intruder_message(bt)|~intruder_message(X3)|~a_key(X1)|~fresh_to_b(X3)|~party_of_protocol(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_119]), c_0_102]), c_0_58]), ['final']).
cnf(c_0_195,plain,(b_holds(key(generate_key(X1),b))|~intruder_message(generate_key(X1))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_154]), c_0_69]), c_0_122]), c_0_54])]), ['final']).
cnf(c_0_196,plain,(intruder_message(encrypt(quadruple(b,X1,generate_key(X1),generate_expiration_time(X1)),bt))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(spm,[status(thm)],[c_0_58, c_0_126]), ['final']).
cnf(c_0_197,plain,(intruder_message(generate_b_nonce(X1))|~intruder_message(X1)|~a_nonce(X1)|~fresh_to_b(X1)), inference(spm,[status(thm)],[c_0_70, c_0_126]), ['final']).
cnf(c_0_198,plain,(message(sent(a,b,pair(X1,encrypt(X2,X3))))|~intruder_message(quadruple(b,an_a_nonce,X3,X4))|~intruder_message(at)|~intruder_message(X2)|~intruder_message(X1)), inference(spm,[status(thm)],[c_0_85, c_0_119]), ['final']).
cnf(c_0_199,plain,(b_holds(key(X1,a))|~intruder_message(triple(a,X1,generate_expiration_time(an_a_nonce)))|~intruder_message(bt)|~a_key(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_119]), c_0_102]), ['final']).
cnf(c_0_200,plain,(b_holds(key(an_a_nonce,a))|~a_key(an_a_nonce)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_82]), c_0_124])]), ['final']).
cnf(c_0_201,plain,(a_holds(key(X1,b))|~intruder_message(quadruple(b,an_a_nonce,X1,X2))|~intruder_message(at)|~intruder_message(X3)|~intruder_message(X4)), inference(spm,[status(thm)],[c_0_156, c_0_119]), ['final']).
cnf(c_0_202,plain,(intruder_message(generate_intruder_nonce(X1))|~fresh_intruder_nonce(X1)), inference(spm,[status(thm)],[c_0_157, c_0_158]), ['final']).
cnf(c_0_203,plain,(message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))|~a_nonce(X3)|~t_holds(key(X6,X2))|~t_holds(key(X5,X1))|~message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6))))), c_0_35, ['final']).
cnf(c_0_204,plain,(message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))|~fresh_to_b(X1)|~message(sent(X2,b,pair(X2,X1)))), c_0_38, ['final']).
cnf(c_0_205,plain,(message(sent(a,X1,pair(X2,encrypt(X3,X4))))|~a_stored(pair(X1,X5))|~message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3)))), c_0_48, ['final']).
cnf(c_0_206,plain,(b_holds(key(X1,X2))|~a_key(X1)|~b_stored(pair(X2,X3))|~message(sent(X2,b,pair(encrypt(triple(X2,X1,generate_expiration_time(X3)),bt),encrypt(generate_b_nonce(X3),X1))))), c_0_74, ['final']).
cnf(c_0_207,plain,(a_holds(key(X1,X2))|~a_stored(pair(X2,X3))|~message(sent(t,a,triple(encrypt(quadruple(X2,X3,X1,X4),at),X5,X6)))), c_0_94, ['final']).
cnf(c_0_208,plain,(b_stored(pair(X1,X2))|~fresh_to_b(X2)|~message(sent(X1,b,pair(X1,X2)))), c_0_52, ['final']).
cnf(c_0_209,plain,(intruder_message(X1)|~intruder_holds(key(X1,X2))|~intruder_message(encrypt(X3,X1))|~party_of_protocol(X2)), c_0_159, ['final']).
cnf(c_0_210,plain,(intruder_message(encrypt(X1,X2))|~intruder_holds(key(X2,X3))|~intruder_message(X1)|~party_of_protocol(X3)), c_0_88, ['final']).
cnf(c_0_211,plain,(intruder_message(X1)|~intruder_message(quadruple(X1,X2,X3,X4))), c_0_160, ['final']).
cnf(c_0_212,plain,(intruder_message(X1)|~intruder_message(quadruple(X2,X1,X3,X4))), c_0_161, ['final']).
cnf(c_0_213,plain,(intruder_message(quadruple(X1,X2,X3,X4))|~intruder_message(X4)|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1)), c_0_162, ['final']).
cnf(c_0_214,plain,(intruder_message(triple(X1,X2,X3))|~intruder_message(X3)|~intruder_message(X2)|~intruder_message(X1)), c_0_68, ['final']).
cnf(c_0_215,plain,(message(sent(X1,X2,X3))|~intruder_message(X3)|~party_of_protocol(X2)|~party_of_protocol(X1)), c_0_53, ['final']).
cnf(c_0_216,plain,(intruder_holds(key(X1,X2))|~intruder_message(X1)|~party_of_protocol(X2)), c_0_89, ['final']).
cnf(c_0_217,plain,(intruder_message(pair(X1,X2))|~intruder_message(X2)|~intruder_message(X1)), c_0_65, ['final']).
cnf(c_0_218,plain,(fresh_intruder_nonce(generate_intruder_nonce(X1))|~fresh_intruder_nonce(X1)), c_0_158, ['final']).
cnf(c_0_219,plain,(intruder_message(X1)|~intruder_message(quadruple(X2,X3,X1,X4))), c_0_163, ['final']).
cnf(c_0_220,plain,(intruder_message(X1)|~intruder_message(quadruple(X2,X3,X4,X1))), c_0_164, ['final']).
cnf(c_0_221,plain,(intruder_message(X1)|~intruder_message(triple(X1,X2,X3))), c_0_58, ['final']).
cnf(c_0_222,plain,(intruder_message(X1)|~message(sent(X2,X3,X1))), c_0_46, ['final']).
cnf(c_0_223,plain,(intruder_message(X1)|~intruder_message(triple(X2,X1,X3))), c_0_102, ['final']).
cnf(c_0_224,plain,(intruder_message(X1)|~intruder_message(triple(X2,X3,X1))), c_0_70, ['final']).
cnf(c_0_225,plain,(intruder_message(X1)|~intruder_message(pair(X1,X2))), c_0_78, ['final']).
cnf(c_0_226,plain,(intruder_message(X1)|~intruder_message(pair(X2,X1))), c_0_105, ['final']).
cnf(c_0_227,plain,(fresh_to_b(X1)|~fresh_intruder_nonce(X1)), c_0_138, ['final']).
cnf(c_0_228,plain,(intruder_message(X1)|~fresh_intruder_nonce(X1)), c_0_157, ['final']).
cnf(c_0_229,plain,(~a_nonce(X1)|~a_key(X1)), c_0_165, ['final']).
cnf(c_0_230,plain,(~a_nonce(generate_key(X1))), c_0_166, ['final']).
cnf(c_0_231,plain,(b_holds(key(generate_key(an_a_nonce),b))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_154]), c_0_69]), c_0_54]), c_0_124]), c_0_51]), c_0_40])]), ['final']).
cnf(c_0_232,plain,(intruder_message(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt))), inference(spm,[status(thm)],[c_0_78, c_0_106]), ['final']).
cnf(c_0_233,plain,(b_holds(key(generate_key(an_a_nonce),a))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_91]), c_0_124]), c_0_90]), c_0_122]), c_0_40]), c_0_61])]), ['final']).
cnf(c_0_234,plain,(a_holds(key(generate_key(an_a_nonce),b))), inference(spm,[status(thm)],[c_0_110, c_0_62]), ['final']).
cnf(c_0_235,plain,(intruder_message(an_intruder_nonce)), inference(spm,[status(thm)],[c_0_157, c_0_167]), ['final']).
cnf(c_0_236,plain,(message(sent(a,b,pair(a,an_a_nonce)))), c_0_39, ['final']).
cnf(c_0_237,plain,(t_holds(key(bt,b))), c_0_36, ['final']).
cnf(c_0_238,plain,(t_holds(key(at,a))), c_0_43, ['final']).
cnf(c_0_239,plain,(b_holds(key(bt,t))), c_0_168, ['final']).
cnf(c_0_240,plain,(a_stored(pair(b,an_a_nonce))), c_0_49, ['final']).
cnf(c_0_241,plain,(a_holds(key(at,t))), c_0_169, ['final']).
cnf(c_0_242,plain,(a_nonce(generate_expiration_time(X1))), c_0_170, ['final']).
cnf(c_0_243,plain,(a_nonce(generate_b_nonce(X1))), c_0_171, ['final']).
cnf(c_0_244,plain,(a_key(generate_key(X1))), c_0_122, ['final']).
cnf(c_0_245,plain,(fresh_intruder_nonce(an_intruder_nonce)), c_0_167, ['final']).
cnf(c_0_246,plain,(a_nonce(an_a_nonce)), c_0_51, ['final']).
cnf(c_0_247,plain,(fresh_to_b(an_a_nonce)), c_0_40, ['final']).
cnf(c_0_248,plain,(party_of_protocol(b)), c_0_54, ['final']).
cnf(c_0_249,plain,(party_of_protocol(a)), c_0_61, ['final']).
cnf(c_0_250,plain,(party_of_protocol(t)), c_0_56, ['final']).
# SZS output end Saturation.
# No SInE strategy applied
# Trying AutoSched4 for 1 seconds
# AutoSched4-Mode selected heuristic G_E___042_C18_F1_PI_AE_Q4_CS_SP_PS_S4S
# and selection function SelectNewComplexAHPNS.
#
# Presaturation interreduction done
# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation.
fof(c_0_0, lemma, (![X1]:![X2]:(~((~(disjoint(X1,X2))&![X3]:~((in(X3,X1)&in(X3,X2)))))&~((?[X3]:(in(X3,X1)&in(X3,X2))&disjoint(X1,X2))))), file('/tmp/SystemOnTPTP11427/SEU140+2.tptp', t3_xboole_0)).
fof(c_0_1, conjecture, (![X1]:![X2]:![X3]:((subset(X1,X2)&disjoint(X2,X3))=>disjoint(X1,X3))), file('/tmp/SystemOnTPTP11427/SEU140+2.tptp', t63_xboole_1)).
fof(c_0_2, axiom, (![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2)))), file('/tmp/SystemOnTPTP11427/SEU140+2.tptp', d3_tarski)).
fof(c_0_3, axiom, (![X1]:![X2]:(disjoint(X1,X2)=>disjoint(X2,X1))), file('/tmp/SystemOnTPTP11427/SEU140+2.tptp', symmetry_r1_xboole_0)).
fof(c_0_4, lemma, (![X1]:![X2]:(~((~disjoint(X1,X2)&![X3]:~((in(X3,X1)&in(X3,X2)))))&~((?[X3]:(in(X3,X1)&in(X3,X2))&disjoint(X1,X2))))), inference(fof_simplification,[status(thm)],[c_0_0])).
fof(c_0_5, negated_conjecture, (~(![X1]:![X2]:![X3]:((subset(X1,X2)&disjoint(X2,X3))=>disjoint(X1,X3)))), inference(assume_negation,[status(cth)],[c_0_1])).
fof(c_0_6, axiom, (![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2)))), c_0_2).
fof(c_0_7, lemma, (![X4]:![X5]:![X7]:![X8]:![X9]:(((in(esk9_2(X4,X5),X4)|disjoint(X4,X5))&(in(esk9_2(X4,X5),X5)|disjoint(X4,X5)))&((~in(X9,X7)|~in(X9,X8))|~disjoint(X7,X8)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])).
fof(c_0_8, negated_conjecture, (((subset(esk11_0,esk12_0)&disjoint(esk12_0,esk13_0))&~disjoint(esk11_0,esk13_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
fof(c_0_9, plain, (![X4]:![X5]:![X6]:![X7]:![X8]:((~subset(X4,X5)|(~in(X6,X4)|in(X6,X5)))&((in(esk3_2(X7,X8),X7)|subset(X7,X8))&(~in(esk3_2(X7,X8),X8)|subset(X7,X8))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])).
cnf(c_0_10,lemma,(~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11,negated_conjecture,(disjoint(esk12_0,esk13_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_12,plain,(in(X1,X2)|~in(X1,X3)|~subset(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_13,negated_conjecture,(subset(esk11_0,esk12_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
fof(c_0_14, axiom, (![X1]:![X2]:(disjoint(X1,X2)=>disjoint(X2,X1))), c_0_3).
cnf(c_0_15,lemma,(~in(X3,X2)|~in(X3,X1)|~disjoint(X1,X2)), c_0_10).
cnf(c_0_16,negated_conjecture,(disjoint(esk12_0,esk13_0)), c_0_11).
cnf(c_0_17,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_18,plain,(in(X1,X2)|~in(X1,X3)|~subset(X3,X2)), c_0_12).
cnf(c_0_19,negated_conjecture,(subset(esk11_0,esk12_0)), c_0_13).
cnf(c_0_20,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_21, plain, (![X3]:![X4]:(~disjoint(X3,X4)|disjoint(X4,X3))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])).
cnf(c_0_22,lemma,(~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1)), c_0_15).
cnf(c_0_23,negated_conjecture,(disjoint(esk12_0,esk13_0)), c_0_16).
cnf(c_0_24,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X1)), c_0_17).
cnf(c_0_25,plain,(in(X1,X2)|~subset(X3,X2)|~in(X1,X3)), c_0_18).
cnf(c_0_26,negated_conjecture,(subset(esk11_0,esk12_0)), c_0_19).
cnf(c_0_27,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X2)), c_0_20).
cnf(c_0_28,plain,(disjoint(X1,X2)|~disjoint(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_29,lemma,(~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1)), c_0_22).
cnf(c_0_30,negated_conjecture,(disjoint(esk12_0,esk13_0)), c_0_23).
cnf(c_0_31,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X1)), c_0_24).
cnf(c_0_32,plain,(in(X1,X2)|~subset(X3,X2)|~in(X1,X3)), c_0_25).
cnf(c_0_33,negated_conjecture,(subset(esk11_0,esk12_0)), c_0_26).
cnf(c_0_34,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X2)), c_0_27).
cnf(c_0_35,negated_conjecture,(~disjoint(esk11_0,esk13_0)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_36,plain,(disjoint(X1,X2)|~disjoint(X2,X1)), c_0_28).
cnf(c_0_37,negated_conjecture,(~in(X1,esk13_0)|~in(X1,esk12_0)), inference(spm,[status(thm)],[c_0_29, c_0_30, theory(equality)])).
cnf(c_0_38,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X1)), c_0_31).
cnf(c_0_39,negated_conjecture,(in(X1,esk12_0)|~in(X1,esk11_0)), inference(spm,[status(thm)],[c_0_32, c_0_33, theory(equality)])).
cnf(c_0_40,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X2)), c_0_34).
cnf(c_0_41,negated_conjecture,(~disjoint(esk11_0,esk13_0)), c_0_35).
cnf(c_0_42,plain,(disjoint(X1,X2)|~disjoint(X2,X1)), c_0_36).
cnf(c_0_43,lemma,(disjoint(esk13_0,X1)|~in(esk9_2(esk13_0,X1),esk12_0)), inference(spm,[status(thm)],[c_0_37, c_0_38, theory(equality)])).
cnf(c_0_44,lemma,(disjoint(X1,esk11_0)|in(esk9_2(X1,esk11_0),esk12_0)), inference(spm,[status(thm)],[c_0_39, c_0_40, theory(equality)])).
cnf(c_0_45,negated_conjecture,(~disjoint(esk11_0,esk13_0)), c_0_41).
cnf(c_0_46,plain,(disjoint(X1,X2)|~disjoint(X2,X1)), c_0_42).
cnf(c_0_47,lemma,(disjoint(esk13_0,esk11_0)), inference(spm,[status(thm)],[c_0_43, c_0_44, theory(equality)])).
cnf(c_0_48,negated_conjecture,(~disjoint(esk11_0,esk13_0)), c_0_45).
cnf(c_0_49,lemma,($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47, theory(equality)]), c_0_48, theory(equality)]), ['proof']).
# SZS output end CNFRefutation.
% SZS status Theorem for SEU140+2.p
% SZS output start Proof for SEU140+2.p
%-----------------------------------------------------
fof(t63_xboole_1,conjecture,! [_63308,_63311,_63314] : (subset(_63308,_63311) & disjoint(_63311,_63314) => disjoint(_63308,_63314)),file('SEU140+2.p',t63_xboole_1)).
fof(d3_tarski,axiom,! [_63543,_63546] : (subset(_63543,_63546) <=> ! [_63564] : (in(_63564,_63543) => in(_63564,_63546))),file('SEU140+2.p',d3_tarski)).
fof(t3_xboole_0,lemma,! [_63793,_63796] : (~ (~ disjoint(_63793,_63796) & ! [_63818] : ~ (in(_63818,_63793) & in(_63818,_63796))) & ~ (? [_63818] : (in(_63818,_63793) & in(_63818,_63796)) & disjoint(_63793,_63796))),file('SEU140+2.p',t3_xboole_0)).
cnf(1,plain,[-(subset(11^[],12^[]))],clausify(t63_xboole_1)).
cnf(2,plain,[-(disjoint(12^[],13^[]))],clausify(t63_xboole_1)).
cnf(3,plain,[disjoint(11^[],13^[])],clausify(t63_xboole_1)).
cnf(4,plain,[subset(_29177,_29233),in(_29347,_29177),-(in(_29347,_29233))],clausify(d3_tarski)).
cnf(5,plain,[-(disjoint(_40265,_40352)),-(in(9^[_40352,_40265],_40265))],clausify(t3_xboole_0)).
cnf(6,plain,[-(disjoint(_40265,_40352)),-(in(9^[_40352,_40265],_40352))],clausify(t3_xboole_0)).
cnf(7,plain,[disjoint(_40265,_40352),in(_40769,_40265),in(_40769,_40352)],clausify(t3_xboole_0)).
cnf('1',plain,[disjoint(12^[],13^[]),in(9^[13^[],11^[]],12^[]),in(9^[13^[],11^[]],13^[])],start(7,bind([[_40265,_40769,_40352],[12^[],9^[13^[],11^[]],13^[]]]))).
cnf('1.1',plain,[-(disjoint(12^[],13^[]))],extension(2)).
cnf('1.2',plain,[-(in(9^[13^[],11^[]],12^[])),subset(11^[],12^[]),in(9^[13^[],11^[]],11^[])],extension(4,bind([[_29233,_29347,_29177],[12^[],9^[13^[],11^[]],11^[]]]))).
cnf('1.2.1',plain,[-(subset(11^[],12^[]))],extension(1)).
cnf('1.2.2',plain,[-(in(9^[13^[],11^[]],11^[])),-(disjoint(11^[],13^[]))],extension(5,bind([[_40265,_40352],[11^[],13^[]]]))).
cnf('1.2.2.1',plain,[disjoint(11^[],13^[])],extension(3)).
cnf('1.3',plain,[-(in(9^[13^[],11^[]],13^[])),-(disjoint(11^[],13^[]))],extension(6,bind([[_40265,_40352],[11^[],13^[]]]))).
cnf('1.3.1',plain,[disjoint(11^[],13^[])],extension(3)).
%-----------------------------------------------------
% SZS output end Proof for SEU140+2.p
SZS status Theorem for SEU140+2.p
SZS output start proof for SEU140+2.p
* * * * * * * * * * * * * * * * * * * * * * * *
in the following, N is the number of a (sub)theorem
E is the current step
or the step when a hypothesis or conclusion has been added or modified
hyp(N,H,E) means that H is an hypothesis of (sub)theorem N
concl(N,C,E) means that C is the conclusion of (sub)theorem N
obj_ct(N,C) means that C is a created object or a given constant
addhyp(N,H,E) means add H as a new hypothesis for N
newconcl(N,C,E) means that the new conclusion of N is C
(C replaces the precedent conclusion)
a subtheorem N-i or N+i is a subtheorem of the (sub)theorem N
N is proved if all N-i have been proved (&-node)
or if one N+i have been proved (|-node)
the initial theorem is numbered 0
* * * theorem to be proved
![A,B,C]: (subset(A,B)&disjoint(B,C)=>disjoint(A,C))
* * * proof :
* * * * * * theoreme 0 * * * * * *
*** newconcl(0,![A,B,C]: (subset(A,B)&disjoint(B,C)=>disjoint(A,C)),1)
*** explanation : initial theorem
------------------------------------------------------- action ini
create object(s) z3 z2 z1
*** newconcl(0,subset(z1,z2)&disjoint(z2,z3)=>disjoint(z1,z3),2)
*** because concl((0,![A,B,C]: (subset(A,B)&disjoint(B,C)=>disjoint(A,C))),1)
*** explanation : the universal variable(s) of the conclusion is(are) instantiated
------------------------------------------------------- rule !
*** addhyp(0,subset(z1,z2),3)
*** addhyp(0,disjoint(z2,z3),3)
*** newconcl(0,disjoint(z1,z3),3)
*** because concl(0,subset(z1,z2)&disjoint(z2,z3)=>disjoint(z1,z3),2)
*** explanation : to prove H=>C, assume H and prove C
------------------------------------------------------- rule =>
*** addhyp(0,set_intersection2(z2,z3)::empty_set,4)
*** because hyp(0,disjoint(z2,z3),3)
*** explanation : rule if hyp(A,disjoint(B,C),_)then addhyp(A,set_intersection2(B,C)::empty_set,_)
built from the definition of disjoint (fof axiom:d7_xboole_0 )
------------------------------------------------------- rule disjoint
*** addhyp(0,set_difference(z1,z2)::empty_set,21)
*** because hyp(0,subset(z1,z2),3),obj_ct(0,z1),obj_ct(0,z2)
*** explanation : rule if (hyp(A,subset(B,C),_),obj_ct(A,B),obj_ct(A,C))then addhyp(A,set_difference(B,C)::empty_set,_)
built from the axiom lemma:l32_xboole_1
------------------------------------------------------- rule lemma:l32_xboole_1_1
*** newconcl(0,set_intersection2(z1,z3)::empty_set,109)
*** because concl(0,disjoint(z1,z3),3)
*** explanation : the conclusion disjoint(z1,z3) is replaced by its definition(fof axiom:d7_xboole_0 )
------------------------------------------------------- rule def_concl_pred
*** newconcl(0,seul(set_intersection2(z1,z3)::A,A=empty_set),110)
*** because concl(0,set_intersection2(z1,z3)::empty_set,109)
*** explanation : FX::Y is rewriten only(FX::Z, Z=Y)
------------------------------------------------------- rule concl2pts
*** addhyp(0,set_intersection2(z1,z3)::z4,111),newconcl(0,z4=empty_set,111)
*** because concl(0,seul(set_intersection2(z1,z3)::A,A=empty_set),110)
*** explanation : creation of object z4 and of its definition
------------------------------------------------------- rule concl_only
*** addhyp(0,set_intersection2(z3,z1)::z4,113)
*** because hyp(0,set_intersection2(z1,z3)::z4,111),obj_ct(0,z1),obj_ct(0,z3)
*** explanation : rule if (hyp(A,set_intersection2(B,C)::D,_),obj_ct(A,B),obj_ct(A,C))then addhyp(A,set_intersection2(C,B)::D,_)
built from the axiom axiom:commutativity_k3_xboole_0
------------------------------------------------------- rule axiom:commutativity_k3_xboole_0_1
*** newconcl(0,![A]: ~in(A,z4),114)
*** because concl(0,z4=empty_set,111)
*** explanation : sufficient condition (rule : axiom:d1_xboole_0_1 (fof axiom:d1_xboole_0 )
------------------------------------------------------- rule axiom:d1_xboole_0_1_cs
create object(s) z5
*** newconcl(0,~in(z5,z4),115)
*** because concl((0,![A]: ~in(A,z4)),114)
*** explanation : the universal variable(s) of the conclusion is(are) instantiated
------------------------------------------------------- rule !
*** addhyp(0,in(z5,z4),116),newconcl(0,false,116)
*** because concl(0,~in(z5,z4),115)
*** explanation : assume in(z5,z4) and search for a contradiction
------------------------------------------------------- rule concl_not
*** addhyp(0,in(z5,z1),118)
*** because hyp(0,set_intersection2(z1,z3)::z4,111),hyp(0,in(z5,z4),116),obj_ct(0,z5)
*** explanation : rule if (hyp(A,set_intersection2(D,_)::B,_),hyp(A,in(C,B),_),obj_ct(A,C))then addhyp(A,in(C,D),_)
built from the definition of set_intersection2 (fof axiom:d3_xboole_0 )
------------------------------------------------------- rule set_intersection2_
*** addhyp(0,in(z5,z2),119)
*** because hyp(0,subset(z1,z2),3),hyp(0,in(z5,z1),118),obj_ct(0,z5)
*** explanation : rule if (hyp(A,subset(B,D),_),hyp(A,in(C,B),_),obj_ct(A,C))then addhyp(A,in(C,D),_)
built from the definition of subset (fof axiom:d3_tarski )
------------------------------------------------------- rule subset
*** addhyp(0,in(z5,z3),120)
*** because hyp(0,set_intersection2(z3,z1)::z4,113),hyp(0,in(z5,z4),116),obj_ct(0,z5)
*** explanation : rule if (hyp(A,set_intersection2(D,_)::B,_),hyp(A,in(C,B),_),obj_ct(A,C))then addhyp(A,in(C,D),_)
built from the definition of set_intersection2 (fof axiom:d3_xboole_0 )
------------------------------------------------------- rule set_intersection2_
*** addhyp(0,in(z5,empty_set),121)
*** because hyp(0,set_intersection2(z2,z3)::empty_set,4),hyp(0,in(z5,z2),119),hyp(0,in(z5,z3),120),obj_ct(0,z5)
*** explanation : rule if (hyp(A,set_intersection2(B,D)::E,_),hyp(A,in(C,B),_),hyp(A,in(C,D),_),obj_ct(A,C))then addhyp(A,in(C,E),_)
built from the definition of set_intersection2 (fof axiom:d3_xboole_0 )
------------------------------------------------------- rule set_intersection2_2
*** addhyp(0,false,122)
*** because hyp(0,set_difference(z1,z2)::empty_set,21),hyp(0,in(z5,empty_set),121),hyp(0,in(z5,z2),119),obj_ct(0,z5)
*** explanation : rule if (hyp(A,set_difference(_,D)::B,_),hyp(A,in(C,B),_),hyp(A,in(C,D),_),obj_ct(A,C))then addhyp(A,false,_)
built from the definition of set_difference (fof axiom:d4_xboole_0 )
------------------------------------------------------- rule set_difference1
*** newconcl(0,true,123)
*** because hyp(0,false,122),concl(0,false,116)
*** explanation : the conclusion false to be proved is a hypothesis
------------------------------------------------------- rule stop_hyp_concl
then the initial theorem is proved
* * * * * * * * * * * * * * * * * * * * * * * *
SZS output end proof for SEU140+2.p
% SZS output start Saturation
fof(f236,plain,(
( ! [Xxs0,X1] : (~general(X0,X1) | ~specific(X0,X1)) )),
inference(cnf_transformation,[],[f194])).
fof(f194,plain,(
! [X0,X1] : (~specific(X0,X1) | ~general(X0,X1))),
inference(ennf_transformation,[],[f51])).
fof(f51,plain,(
! [X0,X1] : (specific(X0,X1) => ~general(X0,X1))),
inference(flattening,[],[f41])).
fof(f41,axiom,(
! [X0,X1] : (specific(X0,X1) => ~general(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f219,plain,(
( ! [X0,X1] : (specific(X0,X1) | ~entity(X0,X1)) )),
inference(cnf_transformation,[],[f177])).
fof(f177,plain,(
! [X0,X1] : (~entity(X0,X1) | specific(X0,X1))),
inference(ennf_transformation,[],[f21])).
fof(f21,axiom,(
! [X0,X1] : (entity(X0,X1) => specific(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f211,plain,(
( ! [X0,X1] : (general(X0,X1) | ~abstraction(X0,X1)) )),
inference(cnf_transformation,[],[f169])).
fof(f169,plain,(
! [X0,X1] : (~abstraction(X0,X1) | general(X0,X1))),
inference(ennf_transformation,[],[f11])).
fof(f11,axiom,(
! [X0,X1] : (abstraction(X0,X1) => general(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f213,plain,(
( ! [X0,X1] : (abstraction(X0,X1) | ~relation(X0,X1)) )),
inference(cnf_transformation,[],[f171])).
fof(f171,plain,(
! [X0,X1] : (~relation(X0,X1) | abstraction(X0,X1))),
inference(ennf_transformation,[],[f14])).
fof(f14,axiom,(
! [X0,X1] : (relation(X0,X1) => abstraction(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f214,plain,(
( ! [X0,X1] : (relation(X0,X1) | ~relname(X0,X1)) )),
inference(cnf_transformation,[],[f172])).
fof(f172,plain,(
! [X0,X1] : (~relname(X0,X1) | relation(X0,X1))),
inference(ennf_transformation,[],[f15])).
fof(f15,axiom,(
! [X0,X1] : (relname(X0,X1) => relation(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f215,plain,(
( ! [X0,X1] : (relname(X0,X1) | ~forename(X0,X1)) )),
inference(cnf_transformation,[],[f173])).
fof(f173,plain,(
! [X0,X1] : (~forename(X0,X1) | relname(X0,X1))),
inference(ennf_transformation,[],[f16])).
fof(f16,axiom,(
! [X0,X1] : (forename(X0,X1) => relname(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f243,plain,(
forename(sK5,sK7)),
inference(cnf_transformation,[],[f201])).
fof(f201,plain,(
of(sK5,sK7,sK6) & woman(sK5,sK6) & mia_forename(sK5,sK7) & forename(sK5,sK7) & shake_beverage(sK5,sK8) & event(sK5,sK9) & agent(sK5,sK9,sK6) & patient(sK5,sK9,sK8) & nonreflexive(sK5,sK9) & order(sK5,sK9)),
inference(skolemisation,[status(esa)],[f153])).
fof(f153,plain,(
? [X0,X1,X2,X3,X4] : (of(X0,X2,X1) & woman(X0,X1) & mia_forename(X0,X2) & forename(X0,X2) & shake_beverage(X0,X3) & event(X0,X4) & agent(X0,X4,X1) & patient(X0,X4,X3) & nonreflexive(X0,X4) & order(X0,X4))),
inference(pure_predicate_removal,[],[f152])).
fof(f152,plain,(
? [X0] : (actual_world(X0) & ? [X1,X2,X3,X4] : (of(X0,X2,X1) & woman(X0,X1) & mia_forename(X0,X2) & forename(X0,X2) & shake_beverage(X0,X3) & event(X0,X4) & agent(X0,X4,X1) & patient(X0,X4,X3) & nonreflexive(X0,X4) & order(X0,X4)))),
inference(pure_predicate_removal,[],[f53])).
fof(f53,plain,(
? [X0] : (actual_world(X0) & ? [X1,X2,X3,X4] : (of(X0,X2,X1) & woman(X0,X1) & mia_forename(X0,X2) & forename(X0,X2) & shake_beverage(X0,X3) & event(X0,X4) & agent(X0,X4,X1) & patient(X0,X4,X3) & past(X0,X4) & nonreflexive(X0,X4) & order(X0,X4)))),
inference(flattening,[],[f46])).
fof(f46,negated_conjecture,(
~~? [X0] : (actual_world(X0) & ? [X1,X2,X3,X4] : (of(X0,X2,X1) & woman(X0,X1) & mia_forename(X0,X2) & forename(X0,X2) & shake_beverage(X0,X3) & event(X0,X4) & agent(X0,X4,X1) & patient(X0,X4,X3) & past(X0,X4) & nonreflexive(X0,X4) & order(X0,X4)))),
inference(negated_conjecture,[],[f45])).
fof(f45,conjecture,(
~? [X0] : (actual_world(X0) & ? [X1,X2,X3,X4] : (of(X0,X2,X1) & woman(X0,X1) & mia_forename(X0,X2) & forename(X0,X2) & shake_beverage(X0,X3) & event(X0,X4) & agent(X0,X4,X1) & patient(X0,X4,X3) & past(X0,X4) & nonreflexive(X0,X4) & order(X0,X4)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f206,plain,(
( ! [X0,X1] : (entity(X0,X1) | ~organism(X0,X1)) )),
inference(cnf_transformation,[],[f164])).
fof(f164,plain,(
! [X0,X1] : (~organism(X0,X1) | entity(X0,X1))),
inference(ennf_transformation,[],[f6])).
fof(f6,axiom,(
! [X0,X1] : (organism(X0,X1) => entity(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f235,plain,(
( ! [X0,X1] : (~living(X0,X1) | ~nonliving(X0,X1)) )),
inference(cnf_transformation,[],[f193])).
fof(f193,plain,(
! [X0,X1] : (~nonliving(X0,X1) | ~living(X0,X1))),
inference(ennf_transformation,[],[f50])).
fof(f50,plain,(
! [X0,X1] : (nonliving(X0,X1) => ~living(X0,X1))),
inference(flattening,[],[f40])).
fof(f40,axiom,(
! [X0,X1] : (nonliving(X0,X1) => ~living(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f217,plain,(
( ! [X0,X1] : (nonliving(X0,X1) | ~object(X0,X1)) )),
inference(cnf_transformation,[],[f175])).
fof(f175,plain,(
! [X0,X1] : (~object(X0,X1) | nonliving(X0,X1))),
inference(ennf_transformation,[],[f19])).
fof(f19,axiom,(
! [X0,X1] : (object(X0,X1) => nonliving(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f221,plain,(
( ! [X0,X1] : (object(X0,X1) | ~substance_matter(X0,X1)) )),
inference(cnf_transformation,[],[f179])).
fof(f179,plain,(
! [X0,X1] : (~substance_matter(X0,X1) | object(X0,X1))),
inference(ennf_transformation,[],[f24])).
fof(f24,axiom,(
! [X0,X1] : (substance_matter(X0,X1) => object(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f222,plain,(
( ! [X0,X1] : (substance_matter(X0,X1) | ~food(X0,X1)) )),
inference(cnf_transformation,[],[f180])).
fof(f180,plain,(
! [X0,X1] : (~food(X0,X1) | substance_matter(X0,X1))),
inference(ennf_transformation,[],[f25])).
fof(f25,axiom,(
! [X0,X1] : (food(X0,X1) => substance_matter(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f223,plain,(
( ! [X0,X1] : (food(X0,X1) | ~beverage(X0,X1)) )),
inference(cnf_transformation,[],[f181])).
fof(f181,plain,(
! [X0,X1] : (~beverage(X0,X1) | food(X0,X1))),
inference(ennf_transformation,[],[f26])).
fof(f26,axiom,(
! [X0,X1] : (beverage(X0,X1) => food(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f224,plain,(
( ! [X0,X1] : (beverage(X0,X1) | ~shake_beverage(X0,X1)) )),
inference(cnf_transformation,[],[f182])).
fof(f182,plain,(
! [X0,X1] : (~shake_beverage(X0,X1) | beverage(X0,X1))),
inference(ennf_transformation,[],[f27])).
fof(f27,axiom,(
! [X0,X1] : (shake_beverage(X0,X1) => beverage(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f244,plain,(
shake_beverage(sK5,sK8)),
inference(cnf_transformation,[],[f201])).
fof(f205,plain,(
( ! [X0,X1] : (living(X0,X1) | ~organism(X0,X1)) )),
inference(cnf_transformation,[],[f163])).
fof(f163,plain,(
! [X0,X1] : (~organism(X0,X1) | living(X0,X1))),
inference(ennf_transformation,[],[f4])).
fof(f4,axiom,(
! [X0,X1] : (organism(X0,X1) => living(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f207,plain,(
( ! [X0,X1] : (organism(X0,X1) | ~human_person(X0,X1)) )),
inference(cnf_transformation,[],[f165])).
fof(f165,plain,(
! [X0,X1] : (~human_person(X0,X1) | organism(X0,X1))),
inference(ennf_transformation,[],[f7])).
fof(f7,axiom,(
! [X0,X1] : (human_person(X0,X1) => organism(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f234,plain,(
( ! [X0,X1] : (~human(X0,X1) | ~nonhuman(X0,X1)) )),
inference(cnf_transformation,[],[f192])).
fof(f192,plain,(
! [X0,X1] : (~nonhuman(X0,X1) | ~human(X0,X1))),
inference(ennf_transformation,[],[f49])).
fof(f49,plain,(
! [X0,X1] : (nonhuman(X0,X1) => ~human(X0,X1))),
inference(flattening,[],[f39])).
fof(f39,axiom,(
! [X0,X1] : (nonhuman(X0,X1) => ~human(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f212,plain,(
( ! [X0,X1] : (nonhuman(X0,X1) | ~abstraction(X0,X1)) )),
inference(cnf_transformation,[],[f170])).
fof(f170,plain,(
! [X0,X1] : (~abstraction(X0,X1) | nonhuman(X0,X1))),
inference(ennf_transformation,[],[f12])).
fof(f12,axiom,(
! [X0,X1] : (abstraction(X0,X1) => nonhuman(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f204,plain,(
( ! [X0,X1] : (human(X0,X1) | ~human_person(X0,X1)) )),
inference(cnf_transformation,[],[f162])).
fof(f162,plain,(
! [X0,X1] : (~human_person(X0,X1) | human(X0,X1))),
inference(ennf_transformation,[],[f3])).
fof(f3,axiom,(
! [X0,X1] : (human_person(X0,X1) => human(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f208,plain,(
( ! [X0,X1] : (human_person(X0,X1) | ~woman(X0,X1)) )),
inference(cnf_transformation,[],[f166])).
fof(f166,plain,(
! [X0,X1] : (~woman(X0,X1) | human_person(X0,X1))),
inference(ennf_transformation,[],[f8])).
fof(f8,axiom,(
! [X0,X1] : (woman(X0,X1) => human_person(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f233,plain,(
( ! [X0,X1] : (~nonexistent(X0,X1) | ~existent(X0,X1)) )),
inference(cnf_transformation,[],[f191])).
fof(f191,plain,(
! [X0,X1] : (~existent(X0,X1) | ~nonexistent(X0,X1))),
inference(ennf_transformation,[],[f48])).
fof(f48,plain,(
! [X0,X1] : (existent(X0,X1) => ~nonexistent(X0,X1))),
inference(flattening,[],[f38])).
fof(f38,axiom,(
! [X0,X1] : (existent(X0,X1) => ~nonexistent(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f227,plain,(
( ! [X0,X1] : (nonexistent(X0,X1) | ~eventuality(X0,X1)) )),
inference(cnf_transformation,[],[f185])).
fof(f185,plain,(
! [X0,X1] : (~eventuality(X0,X1) | nonexistent(X0,X1))),
inference(ennf_transformation,[],[f30])).
fof(f30,axiom,(
! [X0,X1] : (eventuality(X0,X1) => nonexistent(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f229,plain,(
( ! [X0,X1] : (eventuality(X0,X1) | ~event(X0,X1)) )),
inference(cnf_transformation,[],[f187])).
fof(f187,plain,(
! [X0,X1] : (~event(X0,X1) | eventuality(X0,X1))),
inference(ennf_transformation,[],[f34])).
fof(f34,axiom,(
! [X0,X1] : (event(X0,X1) => eventuality(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f245,plain,(
event(sK5,sK9)),
inference(cnf_transformation,[],[f201])).
fof(f218,plain,(
( ! [X0,X1] : (existent(X0,X1) | ~entity(X0,X1)) )),
inference(cnf_transformation,[],[f176])).
fof(f176,plain,(
! [X0,X1] : (~entity(X0,X1) | existent(X0,X1))),
inference(ennf_transformation,[],[f20])).
fof(f20,axiom,(
! [X0,X1] : (entity(X0,X1) => existent(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f232,plain,(
( ! [X0,X1] : (~nonliving(X0,X1) | ~animate(X0,X1)) )),
inference(cnf_transformation,[],[f190])).
fof(f190,plain,(
! [X0,X1] : (~animate(X0,X1) | ~nonliving(X0,X1))),
inference(ennf_transformation,[],[f47])).
fof(f47,plain,(
! [X0,X1] : (animate(X0,X1) => ~nonliving(X0,X1))),
inference(flattening,[],[f37])).
fof(f37,axiom,(
! [X0,X1] : (animate(X0,X1) => ~nonliving(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f203,plain,(
( ! [X0,X1] : (animate(X0,X1) | ~human_person(X0,X1)) )),
inference(cnf_transformation,[],[f161])).
fof(f161,plain,(
! [X0,X1] : (~human_person(X0,X1) | animate(X0,X1))),
inference(ennf_transformation,[],[f2])).
fof(f2,axiom,(
! [X0,X1] : (human_person(X0,X1) => animate(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f228,plain,(
( ! [X0,X1] : (specific(X0,X1) | ~eventuality(X0,X1)) )),
inference(cnf_transformation,[],[f186])).
fof(f186,plain,(
! [X0,X1] : (~eventuality(X0,X1) | specific(X0,X1))),
inference(ennf_transformation,[],[f31])).
fof(f31,axiom,(
! [X0,X1] : (eventuality(X0,X1) => specific(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f237,plain,(
( ! [X0,X1] : (~female(X0,X1) | ~unisex(X0,X1)) )),
inference(cnf_transformation,[],[f195])).
fof(f195,plain,(
! [X0,X1] : (~unisex(X0,X1) | ~female(X0,X1))),
inference(ennf_transformation,[],[f52])).
fof(f52,plain,(
! [X0,X1] : (unisex(X0,X1) => ~female(X0,X1))),
inference(flattening,[],[f42])).
fof(f42,axiom,(
! [X0,X1] : (unisex(X0,X1) => ~female(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f210,plain,(
( ! [X0,X1] : (unisex(X0,X1) | ~abstraction(X0,X1)) )),
inference(cnf_transformation,[],[f168])).
fof(f168,plain,(
! [X0,X1] : (~abstraction(X0,X1) | unisex(X0,X1))),
inference(ennf_transformation,[],[f10])).
fof(f10,axiom,(
! [X0,X1] : (abstraction(X0,X1) => unisex(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f226,plain,(
( ! [X0,X1] : (unisex(X0,X1) | ~eventuality(X0,X1)) )),
inference(cnf_transformation,[],[f184])).
fof(f184,plain,(
! [X0,X1] : (~eventuality(X0,X1) | unisex(X0,X1))),
inference(ennf_transformation,[],[f29])).
fof(f29,axiom,(
! [X0,X1] : (eventuality(X0,X1) => unisex(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f216,plain,(
( ! [X0,X1] : (unisex(X0,X1) | ~object(X0,X1)) )),
inference(cnf_transformation,[],[f174])).
fof(f174,plain,(
! [X0,X1] : (~object(X0,X1) | unisex(X0,X1))),
inference(ennf_transformation,[],[f17])).
fof(f17,axiom,(
! [X0,X1] : (object(X0,X1) => unisex(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f238,plain,(
( ! [X2,X0,X3,X1] : (~of(X0,X3,X1) | X2 = X3 | ~forename(X0,X3) | ~of(X0,X2,X1) | ~forename(X0,X2) | ~entity(X0,X1)) )),
inference(cnf_transformation,[],[f197])).
fof(f197,plain,(
! [X0,X1,X2] : (~entity(X0,X1) | ~forename(X0,X2) | ~of(X0,X2,X1) | ! [X3] : (~forename(X0,X3) | X2 = X3 | ~of(X0,X3,X1)))),
inference(flattening,[],[f196])).
fof(f196,plain,(
! [X0,X1,X2] : ((~entity(X0,X1) | ~forename(X0,X2) | ~of(X0,X2,X1)) | ! [X3] : (~forename(X0,X3) | X2 = X3 | ~of(X0,X3,X1)))),
inference(ennf_transformation,[],[f43])).
fof(f43,axiom,(
! [X0,X1,X2] : ((entity(X0,X1) & forename(X0,X2) & of(X0,X2,X1)) => ~? [X3] : (forename(X0,X3) & X2 != X3 & of(X0,X3,X1)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f240,plain,(
of(sK5,sK7,sK6)),
inference(cnf_transformation,[],[f201])).
fof(f220,plain,(
( ! [X0,X1] : (entity(X0,X1) | ~object(X0,X1)) )),
inference(cnf_transformation,[],[f178])).
fof(f178,plain,(
! [X0,X1] : (~object(X0,X1) | entity(X0,X1))),
inference(ennf_transformation,[],[f23])).
fof(f23,axiom,(
! [X0,X1] : (object(X0,X1) => entity(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f239,plain,(
( ! [X2,X0,X1] : (~nonreflexive(X0,X1) | ~agent(X0,X1,X2) | ~patient(X0,X1,X2)) )),
inference(cnf_transformation,[],[f200])).
fof(f200,plain,(
! [X0,X1,X2] : (~patient(X0,X1,X2) | ~agent(X0,X1,X2) | ~nonreflexive(X0,X1))),
inference(equality_propagation,[],[f199])).
fof(f199,plain,(
! [X0,X1,X2,X3] : (~nonreflexive(X0,X1) | ~agent(X0,X1,X2) | ~patient(X0,X1,X3) | X2 != X3)),
inference(flattening,[],[f198])).
fof(f198,plain,(
! [X0,X1,X2,X3] : ((~nonreflexive(X0,X1) | ~agent(X0,X1,X2) | ~patient(X0,X1,X3)) | X2 != X3)),
inference(ennf_transformation,[],[f44])).
fof(f44,axiom,(
! [X0,X1,X2,X3] : ((nonreflexive(X0,X1) & agent(X0,X1,X2) & patient(X0,X1,X3)) => X2 != X3)),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f247,plain,(
patient(sK5,sK9,sK8)),
inference(cnf_transformation,[],[f201])).
fof(f248,plain,(
nonreflexive(sK5,sK9)),
inference(cnf_transformation,[],[f201])).
fof(f202,plain,(
( ! [X0,X1] : (female(X0,X1) | ~woman(X0,X1)) )),
inference(cnf_transformation,[],[f160])).
fof(f160,plain,(
! [X0,X1] : (~woman(X0,X1) | female(X0,X1))),
inference(ennf_transformation,[],[f1])).
fof(f1,axiom,(
! [X0,X1] : (woman(X0,X1) => female(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f241,plain,(
woman(sK5,sK6)),
inference(cnf_transformation,[],[f201])).
fof(f242,plain,(
mia_forename(sK5,sK7)),
inference(cnf_transformation,[],[f201])).
fof(f246,plain,(
agent(sK5,sK9,sK6)),
inference(cnf_transformation,[],[f201])).
fof(f249,plain,(
order(sK5,sK9)),
inference(cnf_transformation,[],[f201])).
fof(f231,plain,(
( ! [X0,X1] : (act(X0,X1) | ~order(X0,X1)) )),
inference(cnf_transformation,[],[f189])).
fof(f189,plain,(
! [X0,X1] : (~order(X0,X1) | act(X0,X1))),
inference(ennf_transformation,[],[f36])).
fof(f36,axiom,(
! [X0,X1] : (order(X0,X1) => act(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f230,plain,(
( ! [X0,X1] : (event(X0,X1) | ~act(X0,X1)) )),
inference(cnf_transformation,[],[f188])).
fof(f188,plain,(
! [X0,X1] : (~act(X0,X1) | event(X0,X1))),
inference(ennf_transformation,[],[f35])).
fof(f35,axiom,(
! [X0,X1] : (act(X0,X1) => event(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f225,plain,(
( ! [X0,X1] : (event(X0,X1) | ~order(X0,X1)) )),
inference(cnf_transformation,[],[f183])).
fof(f183,plain,(
! [X0,X1] : (~order(X0,X1) | event(X0,X1))),
inference(ennf_transformation,[],[f28])).
fof(f28,axiom,(
! [X0,X1] : (order(X0,X1) => event(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
fof(f209,plain,(
( ! [X0,X1] : (forename(X0,X1) | ~mia_forename(X0,X1)) )),
inference(cnf_transformation,[],[f167])).
fof(f167,plain,(
! [X0,X1] : (~mia_forename(X0,X1) | forename(X0,X1))),
inference(ennf_transformation,[],[f9])).
fof(f9,axiom,(
! [X0,X1] : (mia_forename(X0,X1) => forename(X0,X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/NLP/NLP042+1.p',unknown)).
cnf(c_573,plain,
( specific(X0_$i,X1_$i)
| ~ specific(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_500,plain,( X0_$i = X0_$i ),theory(equality) ).
cnf(c_1761,plain,
( specific(X0_$i,X1_$i) | ~ specific(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_573,c_500]) ).
cnf(c_564,plain,
( organism(X0_$i,X1_$i)
| ~ organism(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1748,plain,
( organism(X0_$i,X1_$i) | ~ organism(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_564,c_500]) ).
cnf(c_562,plain,
( human_person(X0_$i,X1_$i)
| ~ human_person(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1736,plain,
( human_person(X0_$i,X1_$i)
| ~ human_person(X2_$i,X1_$i)
| X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_562,c_500]) ).
cnf(c_557,plain,
( general(X0_$i,X1_$i)
| ~ general(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1724,plain,
( general(X0_$i,X1_$i) | ~ general(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_557,c_500]) ).
cnf(c_555,plain,
( abstraction(X0_$i,X1_$i)
| ~ abstraction(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1703,plain,
( abstraction(X0_$i,X1_$i)
| ~ abstraction(X2_$i,X1_$i)
| X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_555,c_500]) ).
cnf(c_553,plain,
( relation(X0_$i,X1_$i)
| ~ relation(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1682,plain,
( relation(X0_$i,X1_$i) | ~ relation(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_553,c_500]) ).
cnf(c_551,plain,
( relname(X0_$i,X1_$i)
| ~ relname(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1661,plain,
( relname(X0_$i,X1_$i) | ~ relname(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_551,c_500]) ).
cnf(c_548,plain,
( unisex(X0_$i,X1_$i)
| ~ unisex(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1638,plain,
( unisex(X0_$i,X1_$i) | ~ unisex(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_548,c_500]) ).
cnf(c_546,plain,
( female(X0_$i,X1_$i)
| ~ female(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1569,plain,
( female(X0_$i,X1_$i) | ~ female(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_546,c_500]) ).
cnf(c_543,plain,
( nonhuman(X0_$i,X1_$i)
| ~ nonhuman(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1557,plain,
( nonhuman(X0_$i,X1_$i) | ~ nonhuman(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_543,c_500]) ).
cnf(c_541,plain,
( human(X0_$i,X1_$i)
| ~ human(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1545,plain,
( human(X0_$i,X1_$i) | ~ human(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_541,c_500]) ).
cnf(c_538,plain,
( entity(X0_$i,X1_$i)
| ~ entity(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1533,plain,
( entity(X0_$i,X1_$i) | ~ entity(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_538,c_500]) ).
cnf(c_536,plain,
( eventuality(X0_$i,X1_$i)
| ~ eventuality(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1520,plain,
( eventuality(X0_$i,X1_$i)
| ~ eventuality(X2_$i,X1_$i)
| X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_536,c_500]) ).
cnf(c_528,plain,
( act(X0_$i,X1_$i)
| ~ act(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1508,plain,
( act(X0_$i,X1_$i) | ~ act(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_528,c_500]) ).
cnf(c_34,plain,
( ~ general(X0_$i,X1_$i) | ~ specific(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f236]) ).
cnf(c_574,plain,
( ~ general(X0_$i,X1_$i) | ~ specific(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_34]) ).
cnf(c_17,plain,
( ~ entity(X0_$i,X1_$i) | specific(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f219]) ).
cnf(c_558,plain,
( ~ entity(X0_$i,X1_$i) | specific(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_17]) ).
cnf(c_1166,plain,
( ~ entity(X0_$i,X1_$i) | ~ general(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_574,c_558]) ).
cnf(c_9,plain,
( ~ abstraction(X0_$i,X1_$i) | general(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f211]) ).
cnf(c_556,plain,
( ~ abstraction(X0_$i,X1_$i) | general(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_9]) ).
cnf(c_1325,plain,
( ~ entity(X0_$i,X1_$i) | ~ abstraction(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_1166,c_556]) ).
cnf(c_11,plain,
( abstraction(X0_$i,X1_$i) | ~ relation(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_554,plain,
( abstraction(X0_$i,X1_$i) | ~ relation(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_11]) ).
cnf(c_12,plain,
( relation(X0_$i,X1_$i) | ~ relname(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_552,plain,
( relation(X0_$i,X1_$i) | ~ relname(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_12]) ).
cnf(c_13,plain,
( ~ forename(X0_$i,X1_$i) | relname(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_550,plain,
( ~ forename(X0_$i,X1_$i) | relname(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_13]) ).
cnf(c_1054,plain,
( ~ forename(X0_$i,X1_$i) | relation(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_552,c_550]) ).
cnf(c_1065,plain,
( ~ forename(X0_$i,X1_$i) | abstraction(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_554,c_1054]) ).
cnf(c_1393,plain,
( ~ entity(X0_$i,X1_$i) | ~ forename(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_1325,c_1065]) ).
cnf(c_44,plain,
( forename(sK5,sK7) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_539,plain,
( forename(sK5,sK7) ),
inference(subtyping,[status(esa)],[c_44]) ).
cnf(c_1401,plain,
( ~ entity(sK5,sK7) ),
inference(resolution,[status(thm)],[c_1393,c_539]) ).
cnf(c_4,plain,
( ~ organism(X0_$i,X1_$i) | entity(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f206]) ).
cnf(c_565,plain,
( ~ organism(X0_$i,X1_$i) | entity(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_4]) ).
cnf(c_1405,plain,
( ~ organism(sK5,sK7) ),
inference(resolution,[status(thm)],[c_1401,c_565]) ).
cnf(c_524,plain,
( nonexistent(X0_$i,X1_$i)
| ~ nonexistent(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1385,plain,
( nonexistent(X0_$i,X1_$i)
| ~ nonexistent(X2_$i,X1_$i)
| X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_524,c_500]) ).
cnf(c_522,plain,
( existent(X0_$i,X1_$i)
| ~ existent(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1373,plain,
( existent(X0_$i,X1_$i) | ~ existent(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_522,c_500]) ).
cnf(c_519,plain,
( substance_matter(X0_$i,X1_$i)
| ~ substance_matter(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1361,plain,
( substance_matter(X0_$i,X1_$i)
| ~ substance_matter(X2_$i,X1_$i)
| X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_519,c_500]) ).
cnf(c_517,plain,
( food(X0_$i,X1_$i)
| ~ food(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1349,plain,
( food(X0_$i,X1_$i) | ~ food(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_517,c_500]) ).
cnf(c_515,plain,
( beverage(X0_$i,X1_$i)
| ~ beverage(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1337,plain,
( beverage(X0_$i,X1_$i) | ~ beverage(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_515,c_500]) ).
cnf(c_33,plain,
( ~ living(X0_$i,X1_$i) | ~ nonliving(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f235]) ).
cnf(c_509,plain,
( ~ living(X0_$i,X1_$i) | ~ nonliving(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_33]) ).
cnf(c_15,plain,
( ~ object(X0_$i,X1_$i) | nonliving(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_510,plain,
( ~ object(X0_$i,X1_$i) | nonliving(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_15]) ).
cnf(c_1157,plain,
( ~ living(X0_$i,X1_$i) | ~ object(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_509,c_510]) ).
cnf(c_19,plain,
( object(X0_$i,X1_$i) | ~ substance_matter(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f221]) ).
cnf(c_520,plain,
( object(X0_$i,X1_$i) | ~ substance_matter(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_19]) ).
cnf(c_20,plain,
( substance_matter(X0_$i,X1_$i) | ~ food(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f222]) ).
cnf(c_518,plain,
( substance_matter(X0_$i,X1_$i) | ~ food(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_20]) ).
cnf(c_21,plain,
( food(X0_$i,X1_$i) | ~ beverage(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f223]) ).
cnf(c_516,plain,
( food(X0_$i,X1_$i) | ~ beverage(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_21]) ).
cnf(c_22,plain,
( beverage(X0_$i,X1_$i) | ~ shake_beverage(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f224]) ).
cnf(c_514,plain,
( beverage(X0_$i,X1_$i) | ~ shake_beverage(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_22]) ).
cnf(c_43,plain,
( shake_beverage(sK5,sK8) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_512,plain,
( shake_beverage(sK5,sK8) ),
inference(subtyping,[status(esa)],[c_43]) ).
cnf(c_600,plain,
( beverage(sK5,sK8) ),
inference(resolution,[status(thm)],[c_514,c_512]) ).
cnf(c_765,plain,
( food(sK5,sK8) ),
inference(resolution,[status(thm)],[c_516,c_600]) ).
cnf(c_925,plain,
( substance_matter(sK5,sK8) ),
inference(resolution,[status(thm)],[c_518,c_765]) ).
cnf(c_1013,plain,
( object(sK5,sK8) ),
inference(resolution,[status(thm)],[c_520,c_925]) ).
cnf(c_1309,plain,
( ~ living(sK5,sK8) ),
inference(resolution,[status(thm)],[c_1157,c_1013]) ).
cnf(c_3,plain,
( living(X0_$i,X1_$i) | ~ organism(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_507,plain,
( living(X0_$i,X1_$i) | ~ organism(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_3]) ).
cnf(c_5,plain,
( ~ human_person(X0_$i,X1_$i) | organism(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_563,plain,
( ~ human_person(X0_$i,X1_$i) | organism(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_5]) ).
cnf(c_1092,plain,
( ~ human_person(X0_$i,X1_$i) | living(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_507,c_563]) ).
cnf(c_1313,plain,
( ~ human_person(sK5,sK8) ),
inference(resolution,[status(thm)],[c_1309,c_1092]) ).
cnf(c_32,plain,
( ~ human(X0_$i,X1_$i) | ~ nonhuman(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f234]) ).
cnf(c_542,plain,
( ~ human(X0_$i,X1_$i) | ~ nonhuman(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_32]) ).
cnf(c_10,plain,
( ~ abstraction(X0_$i,X1_$i) | nonhuman(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_544,plain,
( ~ abstraction(X0_$i,X1_$i) | nonhuman(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_10]) ).
cnf(c_1125,plain,
( ~ human(X0_$i,X1_$i) | ~ abstraction(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_542,c_544]) ).
cnf(c_1285,plain,
( ~ human(X0_$i,X1_$i) | ~ forename(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_1125,c_1065]) ).
cnf(c_1292,plain,
( ~ human(sK5,sK7) ),
inference(resolution,[status(thm)],[c_1285,c_539]) ).
cnf(c_2,plain,
( ~ human_person(X0_$i,X1_$i) | human(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f204]) ).
cnf(c_540,plain,
( ~ human_person(X0_$i,X1_$i) | human(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_2]) ).
cnf(c_1296,plain,
( ~ human_person(sK5,sK7) ),
inference(resolution,[status(thm)],[c_1292,c_540]) ).
cnf(c_6,plain,
( ~ woman(X0_$i,X1_$i) | human_person(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_561,plain,
( ~ woman(X0_$i,X1_$i) | human_person(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_6]) ).
cnf(c_1300,plain,
( ~ woman(sK5,sK7) ),
inference(resolution,[status(thm)],[c_1296,c_561]) ).
cnf(c_31,plain,
( ~ existent(X0_$i,X1_$i) | ~ nonexistent(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_525,plain,
( ~ existent(X0_$i,X1_$i) | ~ nonexistent(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_31]) ).
cnf(c_25,plain,
( ~ eventuality(X0_$i,X1_$i) | nonexistent(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f227]) ).
cnf(c_523,plain,
( ~ eventuality(X0_$i,X1_$i) | nonexistent(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_25]) ).
cnf(c_1118,plain,
( ~ existent(X0_$i,X1_$i) | ~ eventuality(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_525,c_523]) ).
cnf(c_27,plain,
( ~ event(X0_$i,X1_$i) | eventuality(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f229]) ).
cnf(c_535,plain,
( ~ event(X0_$i,X1_$i) | eventuality(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_27]) ).
cnf(c_1196,plain,
( ~ existent(X0_$i,X1_$i) | ~ event(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_1118,c_535]) ).
cnf(c_42,plain,( event(sK5,sK9) ),inference(cnf_transformation,[],[f245]) ).
cnf(c_534,plain,
( event(sK5,sK9) ),
inference(subtyping,[status(esa)],[c_42]) ).
cnf(c_1260,plain,
( ~ existent(sK5,sK9) ),
inference(resolution,[status(thm)],[c_1196,c_534]) ).
cnf(c_16,plain,
( ~ entity(X0_$i,X1_$i) | existent(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f218]) ).
cnf(c_521,plain,
( ~ entity(X0_$i,X1_$i) | existent(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_16]) ).
cnf(c_1264,plain,
( ~ entity(sK5,sK9) ),
inference(resolution,[status(thm)],[c_1260,c_521]) ).
cnf(c_1268,plain,
( ~ organism(sK5,sK9) ),
inference(resolution,[status(thm)],[c_1264,c_565]) ).
cnf(c_1272,plain,
( ~ human_person(sK5,sK9) ),
inference(resolution,[status(thm)],[c_1268,c_563]) ).
cnf(c_1276,plain,
( ~ woman(sK5,sK9) ),
inference(resolution,[status(thm)],[c_1272,c_561]) ).
cnf(c_511,plain,
( object(X0_$i,X1_$i)
| ~ object(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1253,plain,
( object(X0_$i,X1_$i) | ~ object(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_511,c_500]) ).
cnf(c_508,plain,
( living(X0_$i,X1_$i)
| ~ living(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1241,plain,
( living(X0_$i,X1_$i) | ~ living(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_508,c_500]) ).
cnf(c_506,plain,
( nonliving(X0_$i,X1_$i)
| ~ nonliving(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1229,plain,
( nonliving(X0_$i,X1_$i) | ~ nonliving(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_506,c_500]) ).
cnf(c_504,plain,
( animate(X0_$i,X1_$i)
| ~ animate(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_1217,plain,
( animate(X0_$i,X1_$i) | ~ animate(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_504,c_500]) ).
cnf(c_499,plain,
( X0_$i != X1_$i | X2_$i != X1_$i | X2_$i = X0_$i ),
theory(equality) ).
cnf(c_1205,plain,
( X0_$i != X1_$i | X1_$i = X0_$i ),
inference(resolution,[status(thm)],[c_499,c_500]) ).
cnf(c_30,plain,
( ~ animate(X0_$i,X1_$i) | ~ nonliving(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f232]) ).
cnf(c_505,plain,
( ~ animate(X0_$i,X1_$i) | ~ nonliving(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_30]) ).
cnf(c_1107,plain,
( ~ animate(X0_$i,X1_$i) | ~ object(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_505,c_510]) ).
cnf(c_1183,plain,
( ~ animate(sK5,sK8) ),
inference(resolution,[status(thm)],[c_1107,c_1013]) ).
cnf(c_1,plain,
( animate(X0_$i,X1_$i) | ~ human_person(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f203]) ).
cnf(c_503,plain,
( animate(X0_$i,X1_$i) | ~ human_person(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_1]) ).
cnf(c_755,plain,
( ~ woman(X0_$i,X1_$i) | animate(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_503,c_561]) ).
cnf(c_1187,plain,
( ~ woman(sK5,sK8) ),
inference(resolution,[status(thm)],[c_1183,c_755]) ).
cnf(c_26,plain,
( specific(X0_$i,X1_$i) | ~ eventuality(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f228]) ).
cnf(c_537,plain,
( specific(X0_$i,X1_$i) | ~ eventuality(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_26]) ).
cnf(c_946,plain,
( specific(X0_$i,X1_$i) | ~ event(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_537,c_535]) ).
cnf(c_962,plain,
( specific(sK5,sK9) ),
inference(resolution,[status(thm)],[c_946,c_534]) ).
cnf(c_1165,plain,
( ~ general(sK5,sK9) ),
inference(resolution,[status(thm)],[c_574,c_962]) ).
cnf(c_1170,plain,
( ~ abstraction(sK5,sK9) ),
inference(resolution,[status(thm)],[c_1165,c_556]) ).
cnf(c_1174,plain,
( ~ forename(sK5,sK9) ),
inference(resolution,[status(thm)],[c_1170,c_1065]) ).
cnf(c_35,plain,
( ~ female(X0_$i,X1_$i) | ~ unisex(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_547,plain,
( ~ female(X0_$i,X1_$i) | ~ unisex(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_35]) ).
cnf(c_8,plain,
( unisex(X0_$i,X1_$i) | ~ abstraction(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f210]) ).
cnf(c_549,plain,
( unisex(X0_$i,X1_$i) | ~ abstraction(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_8]) ).
cnf(c_1071,plain,
( ~ forename(X0_$i,X1_$i) | unisex(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_549,c_1065]) ).
cnf(c_1136,plain,
( ~ female(X0_$i,X1_$i) | ~ forename(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_547,c_1071]) ).
cnf(c_1148,plain,
( ~ female(sK5,sK7) ),
inference(resolution,[status(thm)],[c_1136,c_539]) ).
cnf(c_24,plain,
( unisex(X0_$i,X1_$i) | ~ eventuality(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f226]) ).
cnf(c_526,plain,
( unisex(X0_$i,X1_$i) | ~ eventuality(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_24]) ).
cnf(c_940,plain,
( unisex(X0_$i,X1_$i) | ~ event(X0_$i,X1_$i) ),
inference(resolution,[status(thm)],[c_526,c_535]) ).
cnf(c_954,plain,
( unisex(sK5,sK9) ),
inference(resolution,[status(thm)],[c_940,c_534]) ).
cnf(c_1135,plain,
( ~ female(sK5,sK9) ),
inference(resolution,[status(thm)],[c_547,c_954]) ).
cnf(c_14,plain,
( unisex(X0_$i,X1_$i) | ~ object(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_501,plain,
( unisex(X0_$i,X1_$i) | ~ object(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_14]) ).
cnf(c_1016,plain,
( unisex(sK5,sK8) ),
inference(resolution,[status(thm)],[c_501,c_1013]) ).
cnf(c_1134,plain,
( ~ female(sK5,sK8) ),
inference(resolution,[status(thm)],[c_547,c_1016]) ).
cnf(c_36,plain,
( ~ entity(X0_$i,X1_$i)
| ~ forename(X0_$i,X2_$i)
| ~ forename(X0_$i,X3_$i)
| ~ of(X0_$i,X2_$i,X1_$i)
| ~ of(X0_$i,X3_$i,X1_$i)
| X2_$i = X3_$i ),
inference(cnf_transformation,[],[f238]) ).
cnf(c_572,plain,
( ~ entity(X0_$i,X1_$i)
| ~ forename(X0_$i,X2_$i)
| ~ forename(X0_$i,X3_$i)
| ~ of(X0_$i,X2_$i,X1_$i)
| ~ of(X0_$i,X3_$i,X1_$i)
| X2_$i = X3_$i ),
inference(subtyping,[status(esa)],[c_36]) ).
cnf(c_47,plain,( of(sK5,sK7,sK6) ),inference(cnf_transformation,[],[f240]) ).
cnf(c_570,plain,
( of(sK5,sK7,sK6) ),
inference(subtyping,[status(esa)],[c_47]) ).
cnf(c_1039,plain,
( ~ entity(sK5,sK6)
| ~ forename(sK5,sK7)
| ~ forename(sK5,X0_$i)
| ~ of(sK5,X0_$i,sK6)
| X0_$i = sK7 ),
inference(resolution,[status(thm)],[c_572,c_570]) ).
cnf(c_51,plain,
( forename(sK5,sK7) ),
inference(subtyping,[status(esa)],[c_44]) ).
cnf(c_1040,plain,
( ~ entity(sK5,sK6)
| ~ forename(sK5,X0_$i)
| ~ of(sK5,X0_$i,sK6)
| X0_$i = sK7 ),
inference(global_propositional_subsumption,[status(thm)],[c_1039,c_51]) ).
cnf(c_18,plain,
( entity(X0_$i,X1_$i) | ~ object(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f220]) ).
cnf(c_502,plain,
( entity(X0_$i,X1_$i) | ~ object(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_18]) ).
cnf(c_1019,plain,
( entity(sK5,sK8) ),
inference(resolution,[status(thm)],[c_502,c_1013]) ).
cnf(c_571,plain,
( of(X0_$i,X1_$i,X2_$i)
| ~ of(X3_$i,X4_$i,X5_$i)
| X0_$i != X3_$i
| X1_$i != X4_$i
| X2_$i != X5_$i ),
theory(equality) ).
cnf(c_979,plain,
( of(X0_$i,X1_$i,X2_$i)
| ~ of(X3_$i,X4_$i,X2_$i)
| X0_$i != X3_$i
| X1_$i != X4_$i ),
inference(resolution,[status(thm)],[c_571,c_500]) ).
cnf(c_991,plain,
( of(X0_$i,X1_$i,X2_$i) | ~ of(X3_$i,X1_$i,X2_$i) | X0_$i != X3_$i ),
inference(resolution,[status(thm)],[c_979,c_500]) ).
cnf(c_497,plain,
( patient(X0_$i,X1_$i,X2_$i)
| ~ patient(X3_$i,X4_$i,X5_$i)
| X0_$i != X3_$i
| X1_$i != X4_$i
| X2_$i != X5_$i ),
theory(equality) ).
cnf(c_903,plain,
( patient(X0_$i,X1_$i,X2_$i)
| ~ patient(X3_$i,X4_$i,X2_$i)
| X0_$i != X3_$i
| X1_$i != X4_$i ),
inference(resolution,[status(thm)],[c_497,c_500]) ).
cnf(c_915,plain,
( patient(X0_$i,X1_$i,X2_$i)
| ~ patient(X3_$i,X1_$i,X2_$i)
| X0_$i != X3_$i ),
inference(resolution,[status(thm)],[c_903,c_500]) ).
cnf(c_495,plain,
( agent(X0_$i,X1_$i,X2_$i)
| ~ agent(X3_$i,X4_$i,X5_$i)
| X0_$i != X3_$i
| X1_$i != X4_$i
| X2_$i != X5_$i ),
theory(equality) ).
cnf(c_867,plain,
( agent(X0_$i,X1_$i,X2_$i)
| ~ agent(X3_$i,X4_$i,X2_$i)
| X0_$i != X3_$i
| X1_$i != X4_$i ),
inference(resolution,[status(thm)],[c_495,c_500]) ).
cnf(c_879,plain,
( agent(X0_$i,X1_$i,X2_$i)
| ~ agent(X3_$i,X1_$i,X2_$i)
| X0_$i != X3_$i ),
inference(resolution,[status(thm)],[c_867,c_500]) ).
cnf(c_569,plain,
( forename(X0_$i,X1_$i)
| ~ forename(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_843,plain,
( forename(X0_$i,X1_$i) | ~ forename(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_569,c_500]) ).
cnf(c_567,plain,
( mia_forename(X0_$i,X1_$i)
| ~ mia_forename(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_822,plain,
( mia_forename(X0_$i,X1_$i)
| ~ mia_forename(X2_$i,X1_$i)
| X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_567,c_500]) ).
cnf(c_560,plain,
( woman(X0_$i,X1_$i)
| ~ woman(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_801,plain,
( woman(X0_$i,X1_$i) | ~ woman(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_560,c_500]) ).
cnf(c_532,plain,
( order(X0_$i,X1_$i)
| ~ order(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_754,plain,
( order(X0_$i,X1_$i) | ~ order(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_532,c_500]) ).
cnf(c_530,plain,
( event(X0_$i,X1_$i)
| ~ event(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_733,plain,
( event(X0_$i,X1_$i) | ~ event(X2_$i,X1_$i) | X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_530,c_500]) ).
cnf(c_513,plain,
( shake_beverage(X0_$i,X1_$i)
| ~ shake_beverage(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_712,plain,
( shake_beverage(X0_$i,X1_$i)
| ~ shake_beverage(X2_$i,X1_$i)
| X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_513,c_500]) ).
cnf(c_493,plain,
( nonreflexive(X0_$i,X1_$i)
| ~ nonreflexive(X2_$i,X3_$i)
| X0_$i != X2_$i
| X1_$i != X3_$i ),
theory(equality) ).
cnf(c_691,plain,
( nonreflexive(X0_$i,X1_$i)
| ~ nonreflexive(X2_$i,X1_$i)
| X0_$i != X2_$i ),
inference(resolution,[status(thm)],[c_493,c_500]) ).
cnf(c_37,plain,
( ~ nonreflexive(X0_$i,X1_$i)
| ~ agent(X0_$i,X1_$i,X2_$i)
| ~ patient(X0_$i,X1_$i,X2_$i) ),
inference(cnf_transformation,[],[f239]) ).
cnf(c_498,plain,
( ~ nonreflexive(X0_$i,X1_$i)
| ~ agent(X0_$i,X1_$i,X2_$i)
| ~ patient(X0_$i,X1_$i,X2_$i) ),
inference(subtyping,[status(esa)],[c_37]) ).
cnf(c_40,plain,
( patient(sK5,sK9,sK8) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_496,plain,
( patient(sK5,sK9,sK8) ),
inference(subtyping,[status(esa)],[c_40]) ).
cnf(c_676,plain,
( ~ nonreflexive(sK5,sK9) | ~ agent(sK5,sK9,sK8) ),
inference(resolution,[status(thm)],[c_498,c_496]) ).
cnf(c_39,plain,
( nonreflexive(sK5,sK9) ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_56,plain,
( nonreflexive(sK5,sK9) ),
inference(subtyping,[status(esa)],[c_39]) ).
cnf(c_677,plain,
( ~ agent(sK5,sK9,sK8) ),
inference(global_propositional_subsumption,[status(thm)],[c_676,c_56]) ).
cnf(c_0,plain,
( female(X0_$i,X1_$i) | ~ woman(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f202]) ).
cnf(c_545,plain,
( female(X0_$i,X1_$i) | ~ woman(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_0]) ).
cnf(c_46,plain,( woman(sK5,sK6) ),inference(cnf_transformation,[],[f241]) ).
cnf(c_559,plain,
( woman(sK5,sK6) ),
inference(subtyping,[status(esa)],[c_46]) ).
cnf(c_648,plain,
( female(sK5,sK6) ),
inference(resolution,[status(thm)],[c_545,c_559]) ).
cnf(c_45,plain,
( mia_forename(sK5,sK7) ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_566,plain,
( mia_forename(sK5,sK7) ),
inference(subtyping,[status(esa)],[c_45]) ).
cnf(c_41,plain,
( agent(sK5,sK9,sK6) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_494,plain,
( agent(sK5,sK9,sK6) ),
inference(subtyping,[status(esa)],[c_41]) ).
cnf(c_492,plain,
( nonreflexive(sK5,sK9) ),
inference(subtyping,[status(esa)],[c_39]) ).
cnf(c_38,plain,( order(sK5,sK9) ),inference(cnf_transformation,[],[f249]) ).
cnf(c_531,plain,
( order(sK5,sK9) ),
inference(subtyping,[status(esa)],[c_38]) ).
cnf(c_29,plain,
( ~ order(X0_$i,X1_$i) | act(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f231]) ).
cnf(c_527,plain,
( ~ order(X0_$i,X1_$i) | act(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_29]) ).
cnf(c_28,plain,
( event(X0_$i,X1_$i) | ~ act(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f230]) ).
cnf(c_529,plain,
( event(X0_$i,X1_$i) | ~ act(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_28]) ).
cnf(c_23,plain,
( event(X0_$i,X1_$i) | ~ order(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f225]) ).
cnf(c_533,plain,
( event(X0_$i,X1_$i) | ~ order(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_23]) ).
cnf(c_7,plain,
( forename(X0_$i,X1_$i) | ~ mia_forename(X0_$i,X1_$i) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_568,plain,
( forename(X0_$i,X1_$i) | ~ mia_forename(X0_$i,X1_$i) ),
inference(subtyping,[status(esa)],[c_7]) ).
% SZS output end Saturation
%------ The model is defined over ground terms (initial term algebra).
%------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
%------ where \phi is a formula over the term algebra.
%------ If we have equality in the problem then it is also defined as a predicate above,
%------ with "=" on the right-hand-side of the definition interpreted over the term algebra $$term_algebra_type
%------ See help for --sat_out_model for different model outputs.
%------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
%------ where the first argument stands for the sort ($i in the unsorted case)
% SZS output start Model
%------ Negative definition of $$equality_sorted
fof(lit_def,axiom,
(! [X0_$tType,X0_$i,X1_$i] :
( ~($$equality_sorted(X0_$tType,X0_$i,X1_$i)) <=>
(
(
( X0_$tType=$i & X0_$i=sK9 )
&
( X1_$i!=sK9 )
)
|
(
( X0_$tType=$i & X0_$i=sK8 )
&
( X1_$i!=sK8 )
)
|
(
( X0_$tType=$i & X0_$i=sK6 )
&
( X1_$i!=sK6 )
)
|
(
( X0_$tType=$i & X0_$i=sK7 )
&
( X1_$i!=sK7 )
)
|
(
( X0_$tType=$i & X1_$i=sK9 )
&
( X0_$i!=sK9 )
)
|
(
( X0_$tType=$i & X1_$i=sK8 )
&
( X0_$i!=sK8 )
)
|
(
( X0_$tType=$i & X1_$i=sK6 )
&
( X0_$i!=sK6 )
)
|
(
( X0_$tType=$i & X1_$i=sK7 )
&
( X0_$i!=sK7 )
)
)
)
)
).
%------ Positive definition of female
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( female(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK6 )
)
|
(
( X1_$i=sK6 )
)
)
)
)
).
%------ Positive definition of woman
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( woman(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK6 )
)
|
(
( X1_$i=sK6 )
)
)
)
)
).
%------ Positive definition of animate
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( animate(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK6 )
)
|
(
( X1_$i=sK6 )
)
)
)
)
).
%------ Positive definition of human_person
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( human_person(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK6 )
)
|
(
( X1_$i=sK6 )
)
)
)
)
).
%------ Positive definition of human
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( human(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK6 )
)
|
(
( X1_$i=sK6 )
)
)
)
)
).
%------ Positive definition of living
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( living(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK6 )
)
|
(
( X1_$i=sK6 )
)
)
)
)
).
%------ Positive definition of organism
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( organism(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK6 )
)
|
(
( X1_$i=sK6 )
)
)
)
)
).
%------ Positive definition of entity
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( entity(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK8 )
)
|
(
( X0_$i=sK5 & X1_$i=sK6 )
)
|
(
( X1_$i=sK8 )
)
|
(
( X1_$i=sK6 )
)
)
)
)
).
%------ Positive definition of forename
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( forename(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK7 )
)
|
(
( X1_$i=sK7 )
)
)
)
)
).
%------ Positive definition of mia_forename
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( mia_forename(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK7 )
)
|
(
( X1_$i=sK7 )
)
)
)
)
).
%------ Positive definition of unisex
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( unisex(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK9 )
)
|
(
( X0_$i=sK5 & X1_$i=sK8 )
)
|
(
( X0_$i=sK5 & X1_$i=sK7 )
)
|
(
( X1_$i=sK9 )
)
|
(
( X1_$i=sK8 )
)
|
(
( X1_$i=sK7 )
)
)
)
)
).
%------ Positive definition of abstraction
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( abstraction(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK7 )
)
|
(
( X1_$i=sK7 )
)
)
)
)
).
%------ Positive definition of general
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( general(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK7 )
)
|
(
( X1_$i=sK7 )
)
)
)
)
).
%------ Positive definition of nonhuman
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( nonhuman(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK7 )
)
|
(
( X1_$i=sK7 )
)
)
)
)
).
%------ Positive definition of relation
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( relation(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK7 )
)
|
(
( X1_$i=sK7 )
)
)
)
)
).
%------ Positive definition of relname
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( relname(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK7 )
)
|
(
( X1_$i=sK7 )
)
)
)
)
).
%------ Positive definition of object
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( object(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK8 )
)
|
(
( X1_$i=sK8 )
)
)
)
)
).
%------ Positive definition of nonliving
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( nonliving(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK8 )
)
|
(
( X1_$i=sK8 )
)
)
)
)
).
%------ Positive definition of existent
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( existent(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK8 )
)
|
(
( X0_$i=sK5 & X1_$i=sK6 )
)
|
(
( X1_$i=sK8 )
)
|
(
( X1_$i=sK6 )
)
)
)
)
).
%------ Positive definition of specific
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( specific(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK9 )
)
|
(
( X0_$i=sK5 & X1_$i=sK8 )
)
|
(
( X0_$i=sK5 & X1_$i=sK6 )
)
|
(
( X1_$i=sK9 )
)
|
(
( X1_$i=sK8 )
)
|
(
( X1_$i=sK6 )
)
)
)
)
).
%------ Positive definition of substance_matter
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( substance_matter(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK8 )
)
|
(
( X1_$i=sK8 )
)
)
)
)
).
%------ Positive definition of food
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( food(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK8 )
)
|
(
( X1_$i=sK8 )
)
)
)
)
).
%------ Positive definition of beverage
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( beverage(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK8 )
)
|
(
( X1_$i=sK8 )
)
)
)
)
).
%------ Positive definition of shake_beverage
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( shake_beverage(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK8 )
)
|
(
( X1_$i=sK8 )
)
)
)
)
).
%------ Positive definition of event
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( event(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK9 )
)
|
(
( X1_$i=sK9 )
)
)
)
)
).
%------ Positive definition of order
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( order(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK9 )
)
|
(
( X1_$i=sK9 )
)
)
)
)
).
%------ Positive definition of eventuality
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( eventuality(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK9 )
)
|
(
( X1_$i=sK9 )
)
)
)
)
).
%------ Positive definition of nonexistent
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( nonexistent(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK9 )
)
|
(
( X1_$i=sK9 )
)
)
)
)
).
%------ Positive definition of act
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( act(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK9 )
)
|
(
( X1_$i=sK9 )
)
)
)
)
).
%------ Positive definition of of
fof(lit_def,axiom,
(! [X0_$i,X1_$i,X2_$i] :
( of(X0_$i,X1_$i,X2_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK7 & X2_$i=sK6 )
)
|
(
( X1_$i=sK7 & X2_$i=sK6 )
)
)
)
)
).
%------ Positive definition of nonreflexive
fof(lit_def,axiom,
(! [X0_$i,X1_$i] :
( nonreflexive(X0_$i,X1_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK9 )
)
|
(
( X1_$i=sK9 )
)
)
)
)
).
%------ Positive definition of agent
fof(lit_def,axiom,
(! [X0_$i,X1_$i,X2_$i] :
( agent(X0_$i,X1_$i,X2_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK9 & X2_$i=sK6 )
)
|
(
( X1_$i=sK9 & X2_$i=sK6 )
)
)
)
)
).
%------ Positive definition of patient
fof(lit_def,axiom,
(! [X0_$i,X1_$i,X2_$i] :
( patient(X0_$i,X1_$i,X2_$i) <=>
(
(
( X0_$i=sK5 & X1_$i=sK9 & X2_$i=sK8 )
)
|
(
( X1_$i=sK9 & X2_$i=sK8 )
)
)
)
)
).
% SZS output end Model
% SZS output start Saturation
fof(f168,plain,(
( ! [X0] : (~a_nonce(generate_key(X0))) )),
inference(cnf_transformation,[],[f36])).
fof(f36,plain,(
! [X0] : ~a_nonce(generate_key(X0))),
inference(flattening,[],[f27])).
fof(f27,axiom,(
! [X0] : ~a_nonce(generate_key(X0))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f160,plain,(
( ! [X0,X1] : (intruder_message(pair(X0,X1)) | ~intruder_message(X1) | ~intruder_message(X0)) )),
inference(cnf_transformation,[],[f123])).
fof(f123,plain,(
! [X0,X1] : (~intruder_message(X0) | ~intruder_message(X1) | intruder_message(pair(X0,X1)))),
inference(flattening,[],[f122])).
fof(f122,plain,(
! [X0,X1] : ((~intruder_message(X0) | ~intruder_message(X1)) | intruder_message(pair(X0,X1)))),
inference(ennf_transformation,[],[f19])).
fof(f19,axiom,(
! [X0,X1] : ((intruder_message(X0) & intruder_message(X1)) => intruder_message(pair(X0,X1)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f176,plain,(
( ! [X0] : (intruder_message(X0) | ~fresh_intruder_nonce(X0)) )),
inference(cnf_transformation,[],[f138])).
fof(f138,plain,(
! [X0] : (~fresh_intruder_nonce(X0) | (fresh_to_b(X0) & intruder_message(X0)))),
inference(ennf_transformation,[],[f33])).
fof(f33,axiom,(
! [X0] : (fresh_intruder_nonce(X0) => (fresh_to_b(X0) & intruder_message(X0)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f163,plain,(
( ! [X2,X0,X1] : (intruder_message(X1) | ~party_of_protocol(X2) | ~intruder_holds(key(X1,X2)) | ~intruder_message(encrypt(X0,X1))) )),
inference(cnf_transformation,[],[f129])).
fof(f129,plain,(
! [X0,X1,X2] : (~intruder_message(encrypt(X0,X1)) | ~intruder_holds(key(X1,X2)) | ~party_of_protocol(X2) | intruder_message(X1))),
inference(flattening,[],[f128])).
fof(f128,plain,(
! [X0,X1,X2] : ((~intruder_message(encrypt(X0,X1)) | ~intruder_holds(key(X1,X2)) | ~party_of_protocol(X2)) | intruder_message(X1))),
inference(ennf_transformation,[],[f22])).
fof(f22,axiom,(
! [X0,X1,X2] : ((intruder_message(encrypt(X0,X1)) & intruder_holds(key(X1,X2)) & party_of_protocol(X2)) => intruder_message(X1))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f156,plain,(
( ! [X2,X0,X3,X1] : (intruder_message(X0) | ~intruder_message(quadruple(X0,X1,X2,X3))) )),
inference(cnf_transformation,[],[f121])).
fof(f121,plain,(
! [X0,X1,X2,X3] : (~intruder_message(quadruple(X0,X1,X2,X3)) | (intruder_message(X0) & intruder_message(X1) & intruder_message(X2) & intruder_message(X3)))),
inference(ennf_transformation,[],[f18])).
fof(f18,axiom,(
! [X0,X1,X2,X3] : (intruder_message(quadruple(X0,X1,X2,X3)) => (intruder_message(X0) & intruder_message(X1) & intruder_message(X2) & intruder_message(X3)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f157,plain,(
( ! [X2,X0,X3,X1] : (intruder_message(X1) | ~intruder_message(quadruple(X0,X1,X2,X3))) )),
inference(cnf_transformation,[],[f121])).
fof(f158,plain,(
( ! [X2,X0,X3,X1] : (intruder_message(X2) | ~intruder_message(quadruple(X0,X1,X2,X3))) )),
inference(cnf_transformation,[],[f121])).
fof(f159,plain,(
( ! [X2,X0,X3,X1] : (intruder_message(X3) | ~intruder_message(quadruple(X0,X1,X2,X3))) )),
inference(cnf_transformation,[],[f121])).
fof(f153,plain,(
( ! [X2,X0,X1] : (intruder_message(X0) | ~intruder_message(triple(X0,X1,X2))) )),
inference(cnf_transformation,[],[f120])).
fof(f120,plain,(
! [X0,X1,X2] : (~intruder_message(triple(X0,X1,X2)) | (intruder_message(X0) & intruder_message(X1) & intruder_message(X2)))),
inference(ennf_transformation,[],[f17])).
fof(f17,axiom,(
! [X0,X1,X2] : (intruder_message(triple(X0,X1,X2)) => (intruder_message(X0) & intruder_message(X1) & intruder_message(X2)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f154,plain,(
( ! [X2,X0,X1] : (intruder_message(X1) | ~intruder_message(triple(X0,X1,X2))) )),
inference(cnf_transformation,[],[f120])).
fof(f155,plain,(
( ! [X2,X0,X1] : (intruder_message(X2) | ~intruder_message(triple(X0,X1,X2))) )),
inference(cnf_transformation,[],[f120])).
fof(f151,plain,(
( ! [X0,X1] : (intruder_message(X0) | ~intruder_message(pair(X0,X1))) )),
inference(cnf_transformation,[],[f119])).
fof(f119,plain,(
! [X0,X1] : (~intruder_message(pair(X0,X1)) | (intruder_message(X0) & intruder_message(X1)))),
inference(ennf_transformation,[],[f16])).
fof(f16,axiom,(
! [X0,X1] : (intruder_message(pair(X0,X1)) => (intruder_message(X0) & intruder_message(X1)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f152,plain,(
( ! [X0,X1] : (intruder_message(X1) | ~intruder_message(pair(X0,X1))) )),
inference(cnf_transformation,[],[f119])).
fof(f150,plain,(
( ! [X2,X0,X1] : (intruder_message(X2) | ~message(sent(X0,X1,X2))) )),
inference(cnf_transformation,[],[f118])).
fof(f118,plain,(
! [X0,X1,X2] : (~message(sent(X0,X1,X2)) | intruder_message(X2))),
inference(ennf_transformation,[],[f15])).
fof(f15,axiom,(
! [X0,X1,X2] : (message(sent(X0,X1,X2)) => intruder_message(X2))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f161,plain,(
( ! [X2,X0,X1] : (intruder_message(triple(X0,X1,X2)) | ~intruder_message(X2) | ~intruder_message(X1) | ~intruder_message(X0)) )),
inference(cnf_transformation,[],[f125])).
fof(f125,plain,(
! [X0,X1,X2] : (~intruder_message(X0) | ~intruder_message(X1) | ~intruder_message(X2) | intruder_message(triple(X0,X1,X2)))),
inference(flattening,[],[f124])).
fof(f124,plain,(
! [X0,X1,X2] : ((~intruder_message(X0) | ~intruder_message(X1) | ~intruder_message(X2)) | intruder_message(triple(X0,X1,X2)))),
inference(ennf_transformation,[],[f20])).
fof(f20,axiom,(
! [X0,X1,X2] : ((intruder_message(X0) & intruder_message(X1) & intruder_message(X2)) => intruder_message(triple(X0,X1,X2)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f162,plain,(
( ! [X2,X0,X3,X1] : (intruder_message(quadruple(X0,X1,X2,X3)) | ~intruder_message(X3) | ~intruder_message(X2) | ~intruder_message(X1) | ~intruder_message(X0)) )),
inference(cnf_transformation,[],[f127])).
fof(f127,plain,(
! [X0,X1,X2,X3] : (~intruder_message(X0) | ~intruder_message(X1) | ~intruder_message(X2) | ~intruder_message(X3) | intruder_message(quadruple(X0,X1,X2,X3)))),
inference(flattening,[],[f126])).
fof(f126,plain,(
! [X0,X1,X2,X3] : ((~intruder_message(X0) | ~intruder_message(X1) | ~intruder_message(X2) | ~intruder_message(X3)) | intruder_message(quadruple(X0,X1,X2,X3)))),
inference(ennf_transformation,[],[f21])).
fof(f21,axiom,(
! [X0,X1,X2,X3] : ((intruder_message(X0) & intruder_message(X1) & intruder_message(X2) & intruder_message(X3)) => intruder_message(quadruple(X0,X1,X2,X3)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f166,plain,(
( ! [X2,X0,X1] : (intruder_message(encrypt(X0,X1)) | ~party_of_protocol(X2) | ~intruder_holds(key(X1,X2)) | ~intruder_message(X0)) )),
inference(cnf_transformation,[],[f135])).
fof(f135,plain,(
! [X0,X1,X2] : (~intruder_message(X0) | ~intruder_holds(key(X1,X2)) | ~party_of_protocol(X2) | intruder_message(encrypt(X0,X1)))),
inference(flattening,[],[f134])).
fof(f134,plain,(
! [X0,X1,X2] : ((~intruder_message(X0) | ~intruder_holds(key(X1,X2)) | ~party_of_protocol(X2)) | intruder_message(encrypt(X0,X1)))),
inference(ennf_transformation,[],[f25])).
fof(f25,axiom,(
! [X0,X1,X2] : ((intruder_message(X0) & intruder_holds(key(X1,X2)) & party_of_protocol(X2)) => intruder_message(encrypt(X0,X1)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f147,plain,(
t_holds(key(bt,b))),
inference(cnf_transformation,[],[f12])).
fof(f12,axiom,(
t_holds(key(bt,b))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f146,plain,(
t_holds(key(at,a))),
inference(cnf_transformation,[],[f11])).
fof(f11,axiom,(
t_holds(key(at,a))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f143,plain,(
party_of_protocol(b)),
inference(cnf_transformation,[],[f7])).
fof(f7,axiom,(
party_of_protocol(b)),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f139,plain,(
party_of_protocol(a)),
inference(cnf_transformation,[],[f2])).
fof(f2,axiom,(
party_of_protocol(a)),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f148,plain,(
party_of_protocol(t)),
inference(cnf_transformation,[],[f13])).
fof(f13,axiom,(
party_of_protocol(t)),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f144,plain,(
fresh_to_b(an_a_nonce)),
inference(cnf_transformation,[],[f8])).
fof(f8,axiom,(
fresh_to_b(an_a_nonce)),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f175,plain,(
( ! [X0] : (fresh_to_b(X0) | ~fresh_intruder_nonce(X0)) )),
inference(cnf_transformation,[],[f138])).
fof(f174,plain,(
( ! [X0] : (fresh_intruder_nonce(generate_intruder_nonce(X0)) | ~fresh_intruder_nonce(X0)) )),
inference(cnf_transformation,[],[f137])).
fof(f137,plain,(
! [X0] : (~fresh_intruder_nonce(X0) | fresh_intruder_nonce(generate_intruder_nonce(X0)))),
inference(ennf_transformation,[],[f32])).
fof(f32,axiom,(
! [X0] : (fresh_intruder_nonce(X0) => fresh_intruder_nonce(generate_intruder_nonce(X0)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f173,plain,(
fresh_intruder_nonce(an_intruder_nonce)),
inference(cnf_transformation,[],[f31])).
fof(f31,axiom,(
fresh_intruder_nonce(an_intruder_nonce)),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f141,plain,(
a_stored(pair(b,an_a_nonce))),
inference(cnf_transformation,[],[f4])).
fof(f4,axiom,(
a_stored(pair(b,an_a_nonce))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f145,plain,(
( ! [X0,X1] : (message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))) | ~fresh_to_b(X1) | ~message(sent(X0,b,pair(X0,X1)))) )),
inference(cnf_transformation,[],[f115])).
fof(f115,plain,(
! [X0,X1] : (~message(sent(X0,b,pair(X0,X1))) | ~fresh_to_b(X1) | message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))))),
inference(flattening,[],[f114])).
fof(f114,plain,(
! [X0,X1] : ((~message(sent(X0,b,pair(X0,X1))) | ~fresh_to_b(X1)) | message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))))),
inference(ennf_transformation,[],[f109])).
fof(f109,plain,(
! [X0,X1] : ((message(sent(X0,b,pair(X0,X1))) & fresh_to_b(X1)) => message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))))),
inference(pure_predicate_removal,[],[f9])).
fof(f9,axiom,(
! [X0,X1] : ((message(sent(X0,b,pair(X0,X1))) & fresh_to_b(X1)) => (message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))) & b_stored(pair(X0,X1))))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f164,plain,(
( ! [X2,X0,X1] : (message(sent(X1,X2,X0)) | ~party_of_protocol(X2) | ~party_of_protocol(X1) | ~intruder_message(X0)) )),
inference(cnf_transformation,[],[f131])).
fof(f131,plain,(
! [X0,X1,X2] : (~intruder_message(X0) | ~party_of_protocol(X1) | ~party_of_protocol(X2) | message(sent(X1,X2,X0)))),
inference(flattening,[],[f130])).
fof(f130,plain,(
! [X0,X1,X2] : ((~intruder_message(X0) | ~party_of_protocol(X1) | ~party_of_protocol(X2)) | message(sent(X1,X2,X0)))),
inference(ennf_transformation,[],[f23])).
fof(f23,axiom,(
! [X0,X1,X2] : ((intruder_message(X0) & party_of_protocol(X1) & party_of_protocol(X2)) => message(sent(X1,X2,X0)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f140,plain,(
message(sent(a,b,pair(a,an_a_nonce)))),
inference(cnf_transformation,[],[f3])).
fof(f3,axiom,(
message(sent(a,b,pair(a,an_a_nonce)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f142,plain,(
( ! [X4,X2,X0,X5,X3,X1] : (message(sent(a,X4,pair(X3,encrypt(X0,X2)))) | ~a_stored(pair(X4,X5)) | ~message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0)))) )),
inference(cnf_transformation,[],[f113])).
fof(f113,plain,(
! [X0,X1,X2,X3,X4,X5] : (~message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0))) | ~a_stored(pair(X4,X5)) | message(sent(a,X4,pair(X3,encrypt(X0,X2)))))),
inference(flattening,[],[f112])).
fof(f112,plain,(
! [X0,X1,X2,X3,X4,X5] : ((~message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0))) | ~a_stored(pair(X4,X5))) | message(sent(a,X4,pair(X3,encrypt(X0,X2)))))),
inference(ennf_transformation,[],[f110])).
fof(f110,plain,(
! [X0,X1,X2,X3,X4,X5] : ((message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0))) & a_stored(pair(X4,X5))) => message(sent(a,X4,pair(X3,encrypt(X0,X2)))))),
inference(pure_predicate_removal,[],[f5])).
fof(f5,axiom,(
! [X0,X1,X2,X3,X4,X5] : ((message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0))) & a_stored(pair(X4,X5))) => (message(sent(a,X4,pair(X3,encrypt(X0,X2)))) & a_holds(key(X2,X4))))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f149,plain,(
( ! [X6,X4,X2,X0,X5,X3,X1] : (message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1))) | ~a_nonce(X3) | ~t_holds(key(X6,X2)) | ~t_holds(key(X5,X0)) | ~message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5))))) )),
inference(cnf_transformation,[],[f117])).
fof(f117,plain,(
! [X0,X1,X2,X3,X4,X5,X6] : (~message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5)))) | ~t_holds(key(X5,X0)) | ~t_holds(key(X6,X2)) | ~a_nonce(X3) | message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1))))),
inference(flattening,[],[f116])).
fof(f116,plain,(
! [X0,X1,X2,X3,X4,X5,X6] : ((~message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5)))) | ~t_holds(key(X5,X0)) | ~t_holds(key(X6,X2)) | ~a_nonce(X3)) | message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1))))),
inference(ennf_transformation,[],[f14])).
fof(f14,axiom,(
! [X0,X1,X2,X3,X4,X5,X6] : ((message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5)))) & t_holds(key(X5,X0)) & t_holds(key(X6,X2)) & a_nonce(X3)) => message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1))))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f165,plain,(
( ! [X0,X1] : (intruder_holds(key(X0,X1)) | ~party_of_protocol(X1) | ~intruder_message(X0)) )),
inference(cnf_transformation,[],[f133])).
fof(f133,plain,(
! [X0,X1] : (~intruder_message(X0) | ~party_of_protocol(X1) | intruder_holds(key(X0,X1)))),
inference(flattening,[],[f132])).
fof(f132,plain,(
! [X0,X1] : ((~intruder_message(X0) | ~party_of_protocol(X1)) | intruder_holds(key(X0,X1)))),
inference(ennf_transformation,[],[f35])).
fof(f35,plain,(
! [X0,X1] : ((intruder_message(X0) & party_of_protocol(X1)) => intruder_holds(key(X0,X1)))),
inference(rectify,[],[f24])).
fof(f24,axiom,(
! [X1,X2] : ((intruder_message(X1) & party_of_protocol(X2)) => intruder_holds(key(X1,X2)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f171,plain,(
( ! [X0] : (~a_nonce(X0) | ~a_key(X0)) )),
inference(cnf_transformation,[],[f136])).
fof(f136,plain,(
! [X0] : (~a_key(X0) | ~a_nonce(X0))),
inference(ennf_transformation,[],[f29])).
fof(f29,axiom,(
! [X0] : ~(a_key(X0) & a_nonce(X0))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f172,plain,(
( ! [X0] : (a_key(generate_key(X0))) )),
inference(cnf_transformation,[],[f30])).
fof(f30,axiom,(
! [X0] : a_key(generate_key(X0))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f170,plain,(
( ! [X0] : (a_nonce(generate_b_nonce(X0))) )),
inference(cnf_transformation,[],[f28])).
fof(f28,axiom,(
! [X0] : (a_nonce(generate_expiration_time(X0)) & a_nonce(generate_b_nonce(X0)))),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
fof(f169,plain,(
( ! [X0] : (a_nonce(generate_expiration_time(X0))) )),
inference(cnf_transformation,[],[f28])).
fof(f167,plain,(
a_nonce(an_a_nonce)),
inference(cnf_transformation,[],[f26])).
fof(f26,axiom,(
a_nonce(an_a_nonce)),
file('/Users/korovin/TPTP-v5.4.0/Problems/SWV/SWV017+1.p',unknown)).
cnf(c_29,plain,
( ~ a_nonce(generate_key(X0_$i)) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_291,plain,
( ~ a_nonce(generate_key(X0_$$iProver_key_$i_1)) ),
inference(subtyping,[status(esa)],[c_29]) ).
cnf(c_21,plain,
( intruder_message(pair(X0_$i,X1_$i))
| ~ intruder_message(X0_$i)
| ~ intruder_message(X1_$i) ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_298,plain,
( intruder_message(pair(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1))
| ~ intruder_message(X0_$$iProver_key_$i_1)
| ~ intruder_message(X1_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_21]) ).
cnf(c_36,plain,
( intruder_message(X0_$i) | ~ fresh_intruder_nonce(X0_$i) ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_285,plain,
( intruder_message(X0_$$iProver_key_$i_1)
| ~ fresh_intruder_nonce(X0_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_36]) ).
cnf(c_24,plain,
( ~ party_of_protocol(X0_$i)
| ~ intruder_message(encrypt(X1_$i,X2_$i))
| intruder_message(X2_$i)
| ~ intruder_holds(key(X2_$i,X0_$i)) ),
inference(cnf_transformation,[],[f163]) ).
cnf(c_295,plain,
( ~ party_of_protocol(X0_$$iProver_key_$i_1)
| ~ intruder_message(encrypt(X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1))
| intruder_message(X2_$$iProver_key_$i_1)
| ~ intruder_holds(key(X2_$$iProver_key_$i_1,X0_$$iProver_key_$i_1)) ),
inference(subtyping,[status(esa)],[c_24]) ).
cnf(c_20,plain,
( ~ intruder_message(quadruple(X0_$i,X1_$i,X2_$i,X3_$i))
| intruder_message(X0_$i) ),
inference(cnf_transformation,[],[f156]) ).
cnf(c_299,plain,
( ~ intruder_message(quadruple(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1,X3_$$iProver_key_$i_1))
| intruder_message(X0_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_20]) ).
cnf(c_19,plain,
( ~ intruder_message(quadruple(X0_$i,X1_$i,X2_$i,X3_$i))
| intruder_message(X1_$i) ),
inference(cnf_transformation,[],[f157]) ).
cnf(c_300,plain,
( ~ intruder_message(quadruple(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1,X3_$$iProver_key_$i_1))
| intruder_message(X1_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_19]) ).
cnf(c_18,plain,
( ~ intruder_message(quadruple(X0_$i,X1_$i,X2_$i,X3_$i))
| intruder_message(X2_$i) ),
inference(cnf_transformation,[],[f158]) ).
cnf(c_301,plain,
( ~ intruder_message(quadruple(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1,X3_$$iProver_key_$i_1))
| intruder_message(X2_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_18]) ).
cnf(c_17,plain,
( ~ intruder_message(quadruple(X0_$i,X1_$i,X2_$i,X3_$i))
| intruder_message(X3_$i) ),
inference(cnf_transformation,[],[f159]) ).
cnf(c_302,plain,
( ~ intruder_message(quadruple(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1,X3_$$iProver_key_$i_1))
| intruder_message(X3_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_17]) ).
cnf(c_16,plain,
( ~ intruder_message(triple(X0_$i,X1_$i,X2_$i))
| intruder_message(X0_$i) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_303,plain,
( ~ intruder_message(triple(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1))
| intruder_message(X0_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_16]) ).
cnf(c_15,plain,
( ~ intruder_message(triple(X0_$i,X1_$i,X2_$i))
| intruder_message(X1_$i) ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_304,plain,
( ~ intruder_message(triple(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1))
| intruder_message(X1_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_15]) ).
cnf(c_14,plain,
( ~ intruder_message(triple(X0_$i,X1_$i,X2_$i))
| intruder_message(X2_$i) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_305,plain,
( ~ intruder_message(triple(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1))
| intruder_message(X2_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_14]) ).
cnf(c_13,plain,
( ~ intruder_message(pair(X0_$i,X1_$i)) | intruder_message(X0_$i) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_306,plain,
( ~ intruder_message(pair(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1))
| intruder_message(X0_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_13]) ).
cnf(c_12,plain,
( ~ intruder_message(pair(X0_$i,X1_$i)) | intruder_message(X1_$i) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_307,plain,
( ~ intruder_message(pair(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1))
| intruder_message(X1_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_12]) ).
cnf(c_11,plain,
( ~ message(sent(X0_$i,X1_$i,X2_$i)) | intruder_message(X2_$i) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_308,plain,
( ~ message(sent(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1))
| intruder_message(X2_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_11]) ).
cnf(c_22,plain,
( intruder_message(triple(X0_$i,X1_$i,X2_$i))
| ~ intruder_message(X0_$i)
| ~ intruder_message(X1_$i)
| ~ intruder_message(X2_$i) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_297,plain,
( intruder_message(triple(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1))
| ~ intruder_message(X0_$$iProver_key_$i_1)
| ~ intruder_message(X1_$$iProver_key_$i_1)
| ~ intruder_message(X2_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_22]) ).
cnf(c_23,plain,
( intruder_message(quadruple(X0_$i,X1_$i,X2_$i,X3_$i))
| ~ intruder_message(X0_$i)
| ~ intruder_message(X1_$i)
| ~ intruder_message(X2_$i)
| ~ intruder_message(X3_$i) ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_296,plain,
( intruder_message(quadruple(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1,X3_$$iProver_key_$i_1))
| ~ intruder_message(X0_$$iProver_key_$i_1)
| ~ intruder_message(X1_$$iProver_key_$i_1)
| ~ intruder_message(X2_$$iProver_key_$i_1)
| ~ intruder_message(X3_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_23]) ).
cnf(c_27,plain,
( ~ party_of_protocol(X0_$i)
| intruder_message(encrypt(X1_$i,X2_$i))
| ~ intruder_message(X1_$i)
| ~ intruder_holds(key(X2_$i,X0_$i)) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_292,plain,
( ~ party_of_protocol(X0_$$iProver_key_$i_1)
| intruder_message(encrypt(X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1))
| ~ intruder_message(X1_$$iProver_key_$i_1)
| ~ intruder_holds(key(X2_$$iProver_key_$i_1,X0_$$iProver_key_$i_1)) ),
inference(subtyping,[status(esa)],[c_27]) ).
cnf(c_8,plain,
( t_holds(key(bt,b)) ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_280,plain,
( t_holds(key(bt,b)) ),
inference(subtyping,[status(esa)],[c_8]) ).
cnf(c_7,plain,
( t_holds(key(at,a)) ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_279,plain,
( t_holds(key(at,a)) ),
inference(subtyping,[status(esa)],[c_7]) ).
cnf(c_4,plain,
( party_of_protocol(b) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_277,plain,
( party_of_protocol(b) ),
inference(subtyping,[status(esa)],[c_4]) ).
cnf(c_0,plain,
( party_of_protocol(a) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_274,plain,
( party_of_protocol(a) ),
inference(subtyping,[status(esa)],[c_0]) ).
cnf(c_9,plain,
( party_of_protocol(t) ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_281,plain,
( party_of_protocol(t) ),
inference(subtyping,[status(esa)],[c_9]) ).
cnf(c_5,plain,
( fresh_to_b(an_a_nonce) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_278,plain,
( fresh_to_b(an_a_nonce) ),
inference(subtyping,[status(esa)],[c_5]) ).
cnf(c_37,plain,
( fresh_to_b(X0_$i) | ~ fresh_intruder_nonce(X0_$i) ),
inference(cnf_transformation,[],[f175]) ).
cnf(c_284,plain,
( fresh_to_b(X0_$$iProver_key_$i_1)
| ~ fresh_intruder_nonce(X0_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_37]) ).
cnf(c_35,plain,
( fresh_intruder_nonce(generate_intruder_nonce(X0_$i))
| ~ fresh_intruder_nonce(X0_$i) ),
inference(cnf_transformation,[],[f174]) ).
cnf(c_286,plain,
( fresh_intruder_nonce(generate_intruder_nonce(X0_$$iProver_key_$i_1))
| ~ fresh_intruder_nonce(X0_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_35]) ).
cnf(c_34,plain,
( fresh_intruder_nonce(an_intruder_nonce) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_283,plain,
( fresh_intruder_nonce(an_intruder_nonce) ),
inference(subtyping,[status(esa)],[c_34]) ).
cnf(c_2,plain,
( a_stored(pair(b,an_a_nonce)) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_276,plain,
( a_stored(pair(b,an_a_nonce)) ),
inference(subtyping,[status(esa)],[c_2]) ).
cnf(c_6,plain,
( message(sent(b,t,triple(b,generate_b_nonce(X0_$i),encrypt(triple(X1_$i,X0_$i,generate_expiration_time(X0_$i)),bt))))
| ~ message(sent(X1_$i,b,pair(X1_$i,X0_$i)))
| ~ fresh_to_b(X0_$i) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_310,plain,
( message(sent(b,t,triple(b,generate_b_nonce(X0_$$iProver_key_$i_1),encrypt(triple(X1_$$iProver_key_$i_1,X0_$$iProver_key_$i_1,generate_expiration_time(X0_$$iProver_key_$i_1)),bt))))
| ~ message(sent(X1_$$iProver_key_$i_1,b,pair(X1_$$iProver_key_$i_1,X0_$$iProver_key_$i_1)))
| ~ fresh_to_b(X0_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_6]) ).
cnf(c_25,plain,
( ~ party_of_protocol(X0_$i)
| ~ party_of_protocol(X1_$i)
| message(sent(X0_$i,X1_$i,X2_$i))
| ~ intruder_message(X2_$i) ),
inference(cnf_transformation,[],[f164]) ).
cnf(c_294,plain,
( ~ party_of_protocol(X0_$$iProver_key_$i_1)
| ~ party_of_protocol(X1_$$iProver_key_$i_1)
| message(sent(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1))
| ~ intruder_message(X2_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_25]) ).
cnf(c_1,plain,
( message(sent(a,b,pair(a,an_a_nonce))) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_275,plain,
( message(sent(a,b,pair(a,an_a_nonce))) ),
inference(subtyping,[status(esa)],[c_1]) ).
cnf(c_3,plain,
( message(sent(a,X0_$i,pair(X1_$i,encrypt(X2_$i,X3_$i))))
| ~ message(sent(t,a,triple(encrypt(quadruple(X0_$i,X4_$i,X3_$i,X5_$i),at),X1_$i,X2_$i)))
| ~ a_stored(pair(X0_$i,X4_$i)) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_311,plain,
( message(sent(a,X0_$$iProver_key_$i_1,pair(X1_$$iProver_key_$i_1,encrypt(X2_$$iProver_key_$i_1,X3_$$iProver_key_$i_1))))
| ~ message(sent(t,a,triple(encrypt(quadruple(X0_$$iProver_key_$i_1,X4_$$iProver_key_$i_1,X3_$$iProver_key_$i_1,X5_$$iProver_key_$i_1),at),X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1)))
| ~ a_stored(pair(X0_$$iProver_key_$i_1,X4_$$iProver_key_$i_1)) ),
inference(subtyping,[status(esa)],[c_3]) ).
cnf(c_10,plain,
( message(sent(t,X0_$i,triple(encrypt(quadruple(X1_$i,X2_$i,generate_key(X2_$i),X3_$i),X4_$i),encrypt(triple(X0_$i,generate_key(X2_$i),X3_$i),X5_$i),X6_$i)))
| ~ message(sent(X1_$i,t,triple(X1_$i,X6_$i,encrypt(triple(X0_$i,X2_$i,X3_$i),X5_$i))))
| ~ t_holds(key(X5_$i,X1_$i))
| ~ t_holds(key(X4_$i,X0_$i))
| ~ a_nonce(X2_$i) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_309,plain,
( message(sent(t,X0_$$iProver_key_$i_1,triple(encrypt(quadruple(X1_$$iProver_key_$i_1,X2_$$iProver_key_$i_1,generate_key(X2_$$iProver_key_$i_1),X3_$$iProver_key_$i_1),X4_$$iProver_key_$i_1),encrypt(triple(X0_$$iProver_key_$i_1,generate_key(X2_$$iProver_key_$i_1),X3_$$iProver_key_$i_1),X5_$$iProver_key_$i_1),X6_$$iProver_key_$i_1)))
| ~ message(sent(X1_$$iProver_key_$i_1,t,triple(X1_$$iProver_key_$i_1,X6_$$iProver_key_$i_1,encrypt(triple(X0_$$iProver_key_$i_1,X2_$$iProver_key_$i_1,X3_$$iProver_key_$i_1),X5_$$iProver_key_$i_1))))
| ~ t_holds(key(X5_$$iProver_key_$i_1,X1_$$iProver_key_$i_1))
| ~ t_holds(key(X4_$$iProver_key_$i_1,X0_$$iProver_key_$i_1))
| ~ a_nonce(X2_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_10]) ).
cnf(c_26,plain,
( ~ party_of_protocol(X0_$i)
| ~ intruder_message(X1_$i)
| intruder_holds(key(X1_$i,X0_$i)) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_293,plain,
( ~ party_of_protocol(X0_$$iProver_key_$i_1)
| ~ intruder_message(X1_$$iProver_key_$i_1)
| intruder_holds(key(X1_$$iProver_key_$i_1,X0_$$iProver_key_$i_1)) ),
inference(subtyping,[status(esa)],[c_26]) ).
cnf(c_32,plain,
( ~ a_nonce(X0_$i) | ~ a_key(X0_$i) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_321,plain,
( ~ a_nonce(X0_$$iProver_key_$i_1) | ~ a_key(X0_$$iProver_key_$i_1) ),
inference(subtyping,[status(esa)],[c_32]) ).
cnf(c_33,plain,
( a_key(generate_key(X0_$i)) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_320,plain,
( a_key(generate_key(X0_$$iProver_key_$i_1)) ),
inference(subtyping,[status(esa)],[c_33]) ).
cnf(c_338,plain,
( ~ a_nonce(generate_key(X0_$$iProver_key_$i_1)) ),
inference(resolution,[status(thm)],[c_321,c_320]) ).
cnf(c_30,plain,
( a_nonce(generate_b_nonce(X0_$i)) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_319,plain,
( a_nonce(generate_b_nonce(X0_$$iProver_key_$i_1)) ),
inference(subtyping,[status(esa)],[c_30]) ).
cnf(c_31,plain,
( a_nonce(generate_expiration_time(X0_$i)) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_318,plain,
( a_nonce(generate_expiration_time(X0_$$iProver_key_$i_1)) ),
inference(subtyping,[status(esa)],[c_31]) ).
cnf(c_28,plain,
( a_nonce(an_a_nonce) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_317,plain,
( a_nonce(an_a_nonce) ),
inference(subtyping,[status(esa)],[c_28]) ).
% SZS output end Saturation
%------ The model is defined over ground terms (initial term algebra).
%------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
%------ where \phi is a formula over the term algebra.
%------ If we have equality in the problem then it is also defined as a predicate above,
%------ with "=" on the right-hand-side of the definition interpreted over the term algebra $$term_algebra_type
%------ See help for --sat_out_model for different model outputs.
%------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
%------ where the first argument stands for the sort ($i in the unsorted case)
% SZS output start Model
%------ Negative definition of party_of_protocol
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1] :
( ~(party_of_protocol(X0_$$iProver_key_$i_1)) <=>
$false
)
)
).
%------ Negative definition of message
fof(lit_def,axiom,
(! [X0_$$iProver_message_$i_1] :
( ~(message(X0_$$iProver_message_$i_1)) <=>
$false
)
)
).
%------ Negative definition of a_stored
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1] :
( ~(a_stored(X0_$$iProver_key_$i_1)) <=>
$false
)
)
).
%------ Positive definition of fresh_to_b
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1] :
( fresh_to_b(X0_$$iProver_key_$i_1) <=>
$true
)
)
).
%------ Negative definition of t_holds
fof(lit_def,axiom,
(! [X0_$$iProver_intruder_holds_$i_1] :
( ~(t_holds(X0_$$iProver_intruder_holds_$i_1)) <=>
$false
)
)
).
%------ Positive definition of a_nonce
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1] :
( a_nonce(X0_$$iProver_key_$i_1) <=>
(
(
( X0_$$iProver_key_$i_1=$$iProver_Domain_$$iProver_key_$i_1_1 )
)
)
)
)
).
%------ Positive definition of intruder_message
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1] :
( intruder_message(X0_$$iProver_key_$i_1) <=>
$true
)
)
).
%------ Negative definition of intruder_holds
fof(lit_def,axiom,
(! [X0_$$iProver_intruder_holds_$i_1] :
( ~(intruder_holds(X0_$$iProver_intruder_holds_$i_1)) <=>
$false
)
)
).
%------ Positive definition of a_key
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1] :
( a_key(X0_$$iProver_key_$i_1) <=>
(
(
( X0_$$iProver_key_$i_1=$$iProver_Domain_$$iProver_key_$i_1_2 )
)
)
)
)
).
%------ Negative definition of fresh_intruder_nonce
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1] :
( ~(fresh_intruder_nonce(X0_$$iProver_key_$i_1)) <=>
$false
)
)
).
%------ Positive definition of $$iProver_Flat_an_a_nonce
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1] :
( $$iProver_Flat_an_a_nonce(X0_$$iProver_key_$i_1) <=>
(
(
( X0_$$iProver_key_$i_1=$$iProver_Domain_$$iProver_key_$i_1_1 )
)
)
)
)
).
%------ Positive definition of $$iProver_Flat_generate_b_nonce
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1] :
( $$iProver_Flat_generate_b_nonce(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1) <=>
(
(
( X0_$$iProver_key_$i_1=$$iProver_Domain_$$iProver_key_$i_1_1 )
)
)
)
)
).
%------ Positive definition of $$iProver_Flat_generate_expiration_time
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1] :
( $$iProver_Flat_generate_expiration_time(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1) <=>
(
(
( X0_$$iProver_key_$i_1=$$iProver_Domain_$$iProver_key_$i_1_1 )
)
)
)
)
).
%------ Positive definition of $$iProver_Flat_generate_key
fof(lit_def,axiom,
(! [X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1] :
( $$iProver_Flat_generate_key(X0_$$iProver_key_$i_1,X1_$$iProver_key_$i_1) <=>
(
(
( X0_$$iProver_key_$i_1=$$iProver_Domain_$$iProver_key_$i_1_2 )
)
)
)
)
).
% SZS output end Model
8 (all A all B (subset(A,B) <-> (all C (in(C,A) -> in(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption]. 26 (all A all B (disjoint(A,B) -> disjoint(B,A))) # label(symmetry_r1_xboole_0) # label(axiom) # label(non_clause). [assumption]. 42 (all A all B (-(-disjoint(A,B) & (all C -(in(C,A) & in(C,B)))) & -((exists C (in(C,A) & in(C,B))) & disjoint(A,B)))) # label(t3_xboole_0) # label(lemma) # label(non_clause). [assumption]. 55 -(all A all B all C (subset(A,B) & disjoint(B,C) -> disjoint(A,C))) # label(t63_xboole_1) # label(negated_conjecture) # label(non_clause). [assumption]. 60 subset(c3,c4) # label(t63_xboole_1) # label(negated_conjecture). [clausify(55)]. 61 disjoint(c4,c5) # label(t63_xboole_1) # label(negated_conjecture). [clausify(55)]. 75 disjoint(A,B) | in(f7(A,B),A) # label(t3_xboole_0) # label(lemma). [clausify(42)]. 76 disjoint(A,B) | in(f7(A,B),B) # label(t3_xboole_0) # label(lemma). [clausify(42)]. 92 -disjoint(c3,c5) # label(t63_xboole_1) # label(negated_conjecture). [clausify(55)]. 101 -in(A,B) | -in(A,C) | -disjoint(B,C) # label(t3_xboole_0) # label(lemma). [clausify(42)]. 109 -disjoint(A,B) | disjoint(B,A) # label(symmetry_r1_xboole_0) # label(axiom). [clausify(26)]. 123 -subset(A,B) | -in(C,A) | in(C,B) # label(d3_tarski) # label(axiom). [clausify(8)]. 273 -disjoint(c5,c3). [ur(109,b,92,a)]. 300 -in(A,c3) | in(A,c4). [resolve(123,a,60,a)]. 959 in(f7(c5,c3),c3). [resolve(273,a,76,a)]. 960 in(f7(c5,c3),c5). [resolve(273,a,75,a)]. 1084 -in(f7(c5,c3),c4). [ur(101,b,960,a,c,61,a)]. 1292 $F. [resolve(300,a,959,a),unit_del(a,1084)].
% SZS output start Proof for SEU140+2
fof(f1738,plain,(
$false),
inference(subsumption_resolution,[],[f1737,f136])).
fof(f136,plain,(
~disjoint(sK0,sK2)),
inference(cnf_transformation,[],[f104])).
fof(f104,plain,(
subset(sK0,sK1) & disjoint(sK1,sK2) & ~disjoint(sK0,sK2)),
inference(skolemisation,[status(esa)],[f76])).
fof(f76,plain,(
? [X0,X1,X2] : (subset(X0,X1) & disjoint(X1,X2) & ~disjoint(X0,X2))),
inference(flattening,[],[f75])).
fof(f75,plain,(
? [X0,X1,X2] : ((subset(X0,X1) & disjoint(X1,X2)) & ~disjoint(X0,X2))),
inference(ennf_transformation,[],[f52])).
fof(f52,negated_conjecture,(
~! [X0,X1,X2] : ((subset(X0,X1) & disjoint(X1,X2)) => disjoint(X0,X2))),
inference(negated_conjecture,[],[f51])).
fof(f51,conjecture,(
! [X0,X1,X2] : ((subset(X0,X1) & disjoint(X1,X2)) => disjoint(X0,X2))),
file('Problems/SEU/SEU140+2.p',t63_xboole_1)).
fof(f1737,plain,(
disjoint(sK0,sK2)),
inference(duplicate_literal_removal,[],[f1736])).
fof(f1736,plain,(
disjoint(sK0,sK2) | disjoint(sK0,sK2)),
inference(resolution,[],[f1707,f378])).
fof(f378,plain,(
( ! [X1] : (~in(sK4(sK2,X1),sK1) | disjoint(X1,sK2)) )),
inference(resolution,[],[f372,f148])).
fof(f148,plain,(
( ! [X0,X1] : (in(sK4(X1,X0),X1) | disjoint(X0,X1)) )),
inference(cnf_transformation,[],[f106])).
fof(f106,plain,(
! [X0,X1] : ((disjoint(X0,X1) | (in(sK4(X1,X0),X0) & in(sK4(X1,X0),X1))) & (! [X2] : (~in(X2,X0) | ~in(X2,X1)) | ~disjoint(X0,X1)))),
inference(skolemisation,[status(esa)],[f79])).
fof(f79,plain,(
! [X0,X1] : ((disjoint(X0,X1) | ? [X3] : (in(X3,X0) & in(X3,X1))) & (! [X2] : (~in(X2,X0) | ~in(X2,X1)) | ~disjoint(X0,X1)))),
inference(ennf_transformation,[],[f61])).
fof(f61,plain,(
! [X0,X1] : (~(~disjoint(X0,X1) & ! [X3] : ~(in(X3,X0) & in(X3,X1))) & ~(? [X2] : (in(X2,X0) & in(X2,X1)) & disjoint(X0,X1)))),
inference(flattening,[],[f60])).
fof(f60,plain,(
! [X0,X1] : (~(~disjoint(X0,X1) & ! [X3] : ~(in(X3,X0) & in(X3,X1))) & ~(? [X2] : (in(X2,X0) & in(X2,X1)) & disjoint(X0,X1)))),
inference(rectify,[],[f43])).
fof(f43,axiom,(
! [X0,X1] : (~(~disjoint(X0,X1) & ! [X2] : ~(in(X2,X0) & in(X2,X1))) & ~(? [X2] : (in(X2,X0) & in(X2,X1)) & disjoint(X0,X1)))),
file('Problems/SEU/SEU140+2.p',t3_xboole_0)).
fof(f372,plain,(
( ! [X0] : (~in(X0,sK2) | ~in(X0,sK1)) )),
inference(resolution,[],[f149,f135])).
fof(f135,plain,(
disjoint(sK1,sK2)),
inference(cnf_transformation,[],[f104])).
fof(f149,plain,(
( ! [X2,X0,X1] : (~disjoint(X0,X1) | ~in(X2,X1) | ~in(X2,X0)) )),
inference(cnf_transformation,[],[f106])).
fof(f1707,plain,(
( ! [X0] : (in(sK4(X0,sK0),sK1) | disjoint(sK0,X0)) )),
inference(resolution,[],[f1706,f147])).
fof(f147,plain,(
( ! [X0,X1] : (in(sK4(X1,X0),X0) | disjoint(X0,X1)) )),
inference(cnf_transformation,[],[f106])).
fof(f1706,plain,(
( ! [X78] : (~in(X78,sK0) | in(X78,sK1)) )),
inference(resolution,[],[f1661,f134])).
fof(f134,plain,(
subset(sK0,sK1)),
inference(cnf_transformation,[],[f104])).
fof(f1661,plain,(
( ! [X6,X7,X5] : (~subset(X5,X6) | in(X7,X6) | ~in(X7,X5)) )),
inference(superposition,[],[f236,f218])).
fof(f218,plain,(
( ! [X0,X1] : (set_difference(X0,set_difference(X0,X1)) = X0 | ~subset(X0,X1)) )),
inference(definition_unfolding,[],[f150,f144])).
fof(f144,plain,(
( ! [X0,X1] : (set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1))) )),
inference(cnf_transformation,[],[f47])).
fof(f47,axiom,(
! [X0,X1] : set_intersection2(X0,X1) = set_difference(X0,set_difference(X0,X1))),
file('Problems/SEU/SEU140+2.p',t48_xboole_1)).
fof(f150,plain,(
( ! [X0,X1] : (set_intersection2(X0,X1) = X0 | ~subset(X0,X1)) )),
inference(cnf_transformation,[],[f80])).
fof(f80,plain,(
! [X0,X1] : (~subset(X0,X1) | set_intersection2(X0,X1) = X0)),
inference(ennf_transformation,[],[f34])).
fof(f34,axiom,(
! [X0,X1] : (subset(X0,X1) => set_intersection2(X0,X1) = X0)),
file('Problems/SEU/SEU140+2.p',t28_xboole_1)).
fof(f236,plain,(
( ! [X4,X0,X1] : (~in(X4,set_difference(X0,set_difference(X0,X1))) | in(X4,X1)) )),
inference(equality_resolution,[],[f230])).
fof(f230,plain,(
( ! [X4,X2,X0,X1] : (in(X4,X1) | ~in(X4,X2) | set_difference(X0,set_difference(X0,X1)) != X2) )),
inference(definition_unfolding,[],[f196,f144])).
fof(f196,plain,(
( ! [X4,X2,X0,X1] : (in(X4,X1) | ~in(X4,X2) | set_intersection2(X0,X1) != X2) )),
inference(cnf_transformation,[],[f123])).
fof(f123,plain,(
! [X0,X1,X2] : ((set_intersection2(X0,X1) != X2 | ! [X4] : ((~in(X4,X2) | (in(X4,X0) & in(X4,X1))) & (~in(X4,X0) | ~in(X4,X1) | in(X4,X2)))) & (((in(sK8(X2,X1,X0),X2) | (in(sK8(X2,X1,X0),X0) & in(sK8(X2,X1,X0),X1))) & (~in(sK8(X2,X1,X0),X2) | ~in(sK8(X2,X1,X0),X0) | ~in(sK8(X2,X1,X0),X1))) | set_intersection2(X0,X1) = X2))),
inference(skolemisation,[status(esa)],[f122])).
fof(f122,plain,(
! [X0,X1,X2] : ((set_intersection2(X0,X1) != X2 | ! [X4] : ((~in(X4,X2) | (in(X4,X0) & in(X4,X1))) & (~in(X4,X0) | ~in(X4,X1) | in(X4,X2)))) & (? [X3] : ((in(X3,X2) | (in(X3,X0) & in(X3,X1))) & (~in(X3,X2) | ~in(X3,X0) | ~in(X3,X1))) | set_intersection2(X0,X1) = X2))),
inference(rectify,[],[f121])).
fof(f121,plain,(
! [X0,X1,X2] : ((set_intersection2(X0,X1) != X2 | ! [X3] : ((~in(X3,X2) | (in(X3,X0) & in(X3,X1))) & (~in(X3,X0) | ~in(X3,X1) | in(X3,X2)))) & (? [X3] : ((in(X3,X2) | (in(X3,X0) & in(X3,X1))) & (~in(X3,X2) | ~in(X3,X0) | ~in(X3,X1))) | set_intersection2(X0,X1) = X2))),
inference(flattening,[],[f120])).
fof(f120,plain,(
! [X0,X1,X2] : ((set_intersection2(X0,X1) != X2 | ! [X3] : ((~in(X3,X2) | (in(X3,X0) & in(X3,X1))) & ((~in(X3,X0) | ~in(X3,X1)) | in(X3,X2)))) & (? [X3] : ((in(X3,X2) | (in(X3,X0) & in(X3,X1))) & (~in(X3,X2) | (~in(X3,X0) | ~in(X3,X1)))) | set_intersection2(X0,X1) = X2))),
inference(nnf_transformation,[],[f9])).
fof(f9,axiom,(
! [X0,X1,X2] : (set_intersection2(X0,X1) = X2 <=> ! [X3] : (in(X3,X2) <=> (in(X3,X0) & in(X3,X1))))),
file('Problems/SEU/SEU140+2.p',d3_xboole_0)).
% SZS output end Proof for SEU140+2
# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation.
fof(c_0_0, lemma,
(![X1]:![X2]:(~((~(disjoint(X1,X2))&![X3]:~((in(X3,X1)&in(X3,X2)))))&~((?[X3]:(i
n(X3,X1)&in(X3,X2))&disjoint(X1,X2))))),
file('/tmp/SystemOnTPTPFormReply30230/SOT_pcuYls', t3_xboole_0)).
fof(c_0_1, conjecture,
(![X1]:![X2]:![X3]:((subset(X1,X2)&disjoint(X2,X3))=>disjoint(X1,X3))),
file('/tmp/SystemOnTPTPFormReply30230/SOT_pcuYls', t63_xboole_1)).
fof(c_0_2, axiom,
(![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2)))),
file('/tmp/SystemOnTPTPFormReply30230/SOT_pcuYls', d3_tarski)).
fof(c_0_3, axiom, (![X1]:![X2]:(disjoint(X1,X2)=>disjoint(X2,X1))),
file('/tmp/SystemOnTPTPFormReply30230/SOT_pcuYls',
symmetry_r1_xboole_0)).
fof(c_0_4, lemma,
(![X1]:![X2]:(~((~disjoint(X1,X2)&![X3]:~((in(X3,X1)&in(X3,X2)))))&~((?[X3]:(in(
X3,X1)&in(X3,X2))&disjoint(X1,X2))))),
inference(fof_simplification,[status(thm)],[c_0_0])).
fof(c_0_5, negated_conjecture,
(~(![X1]:![X2]:![X3]:((subset(X1,X2)&disjoint(X2,X3))=>disjoint(X1,X3)))),
inference(assume_negation,[status(cth)],[c_0_1])).
fof(c_0_6, axiom,
(![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2)))), c_0_2).
fof(c_0_7, lemma,
(![X4]:![X5]:![X7]:![X8]:![X9]:(((in(esk9_2(X4,X5),X4)|disjoint(X4,X5))&(in(esk9
_2(X4,X5),X5)|disjoint(X4,X5)))&((~in(X9,X7)|~in(X9,X8))|~disjoint(X7,X8)))),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[infe
rence(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inferenc
e(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])
])).
fof(c_0_8, negated_conjecture,
(((subset(esk11_0,esk12_0)&disjoint(esk12_0,esk13_0))&~disjoint(esk11_0,esk13_0)
)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[infe
rence(fof_nnf,[status(thm)],[c_0_5])])])).
fof(c_0_9, plain,
(![X4]:![X5]:![X6]:![X7]:![X8]:((~subset(X4,X5)|(~in(X6,X4)|in(X6,X5)))&((in(esk
3_2(X7,X8),X7)|subset(X7,X8))&(~in(esk3_2(X7,X8),X8)|subset(X7,X8))))),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[infe
rence(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inferenc
e(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])
])).
cnf(c_0_10,lemma,(~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1)),
inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11,negated_conjecture,(disjoint(esk12_0,esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_12,plain,(in(X1,X2)|~in(X1,X3)|~subset(X3,X2)),
inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_13,negated_conjecture,(subset(esk11_0,esk12_0)),
inference(split_conjunct,[status(thm)],[c_0_8])).
fof(c_0_14, axiom, (![X1]:![X2]:(disjoint(X1,X2)=>disjoint(X2,X1))), c_0_3).
cnf(c_0_15,lemma,(~in(X3,X2)|~in(X3,X1)|~disjoint(X1,X2)), c_0_10).
cnf(c_0_16,negated_conjecture,(disjoint(esk12_0,esk13_0)), c_0_11).
cnf(c_0_17,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X1)),
inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_18,plain,(in(X1,X2)|~in(X1,X3)|~subset(X3,X2)), c_0_12).
cnf(c_0_19,negated_conjecture,(subset(esk11_0,esk12_0)), c_0_13).
cnf(c_0_20,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X2)),
inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_21, plain, (![X3]:![X4]:(~disjoint(X3,X4)|disjoint(X4,X3))),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14
])])).
cnf(c_0_22,lemma,(~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1)), c_0_15).
cnf(c_0_23,negated_conjecture,(disjoint(esk12_0,esk13_0)), c_0_16).
cnf(c_0_24,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X1)), c_0_17).
cnf(c_0_25,plain,(in(X1,X2)|~subset(X3,X2)|~in(X1,X3)), c_0_18).
cnf(c_0_26,negated_conjecture,(subset(esk11_0,esk12_0)), c_0_19).
cnf(c_0_27,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X2)), c_0_20).
cnf(c_0_28,plain,(disjoint(X1,X2)|~disjoint(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_29,lemma,(~disjoint(X1,X2)|~in(X3,X2)|~in(X3,X1)), c_0_22).
cnf(c_0_30,negated_conjecture,(disjoint(esk12_0,esk13_0)), c_0_23).
cnf(c_0_31,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X1)), c_0_24).
cnf(c_0_32,plain,(in(X1,X2)|~subset(X3,X2)|~in(X1,X3)), c_0_25).
cnf(c_0_33,negated_conjecture,(subset(esk11_0,esk12_0)), c_0_26).
cnf(c_0_34,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X2)), c_0_27).
cnf(c_0_35,negated_conjecture,(~disjoint(esk11_0,esk13_0)),
inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_36,plain,(disjoint(X1,X2)|~disjoint(X2,X1)), c_0_28).
cnf(c_0_37,negated_conjecture,(~in(X1,esk13_0)|~in(X1,esk12_0)),
inference(spm,[status(thm)],[c_0_29, c_0_30, theory(equality)])).
cnf(c_0_38,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X1)), c_0_31).
cnf(c_0_39,negated_conjecture,(in(X1,esk12_0)|~in(X1,esk11_0)),
inference(spm,[status(thm)],[c_0_32, c_0_33, theory(equality)])).
cnf(c_0_40,lemma,(disjoint(X1,X2)|in(esk9_2(X1,X2),X2)), c_0_34).
cnf(c_0_41,negated_conjecture,(~disjoint(esk11_0,esk13_0)), c_0_35).
cnf(c_0_42,plain,(disjoint(X1,X2)|~disjoint(X2,X1)), c_0_36).
cnf(c_0_43,lemma,(disjoint(esk13_0,X1)|~in(esk9_2(esk13_0,X1),esk12_0)),
inference(spm,[status(thm)],[c_0_37, c_0_38, theory(equality)])).
cnf(c_0_44,lemma,(disjoint(X1,esk11_0)|in(esk9_2(X1,esk11_0),esk12_0)),
inference(spm,[status(thm)],[c_0_39, c_0_40, theory(equality)])).
cnf(c_0_45,negated_conjecture,(~disjoint(esk11_0,esk13_0)), c_0_41).
cnf(c_0_46,plain,(disjoint(X1,X2)|~disjoint(X2,X1)), c_0_42).
cnf(c_0_47,lemma,(disjoint(esk13_0,esk11_0)),
inference(spm,[status(thm)],[c_0_43, c_0_44, theory(equality)])).
cnf(c_0_48,negated_conjecture,(~disjoint(esk11_0,esk13_0)), c_0_45).
cnf(c_0_49,lemma,($false),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,
c_0_47, theory(equality)]), c_0_48, theory(equality)]), ['proof']).
# SZS output end CNFRefutation.
% [0.001] setup GC and signal handler
% [0.001] register extension arith_int...
% [0.001] ================ process file examples/SEU140+2.p ===========
% [0.001] parsed 56 declarations
% [0.006] precedence: empty > disjoint > set_difference > empty_set > subset > set_intersection2 > set_union2 > proper_subset > in > $greatereq > $greater > $lesseq > $less > $to_rat > $to_int > $is_rat > $is_int > $remainder_f > $remainder_t > $remainder_e > $quotient_f > $quotient_t > $quotient_e > $quotient > $product > $uminus > $difference > $sum > $round > $truncate > $ceiling > $floor > $i > _ > ∀ > ∃ > false > true > ≠> = > <~> > <=> > → > ∨ > ∧ > ¬
% [0.006] selection function: SelectComplex
% [0.006] signature: {in: $i → $i → $o, proper_subset: $i → $i → $o, set_union2: $i → $i → $i, set_intersection2: $i → $i → $i, subset: $i → $i → $o, empty_set: $i, set_difference: $i → $i → $i, disjoint: $i → $i → $o, empty: $i → $o}
% [0.006] completeness is lost
% [0.007] reduce to CNF...
% [0.012] signature: {in: $i → $i → $o, proper_subset: $i → $i → $o, set_union2: $i → $i → $i, set_intersection2: $i → $i → $i, subset: $i → $i → $o, empty_set: $i, set_difference: $i → $i → $i, disjoint: $i → $i → $o, empty: $i → $o, zsk0: $i → $i, zsk1: $i → $i → $i → $i, zsk2: $i → $i → $i, zsk3: $i → $i → $i → $i, zsk4: $i → $i → $i → $i, zsk5: $i, zsk6: $i, zsk7: $i → $i → $i, proxy_logtk8: $i → $i → $o, zsk9: $i → $i → $i, zsk10: $i → $i → $i, zsk11: $i, zsk12: $i, zsk13: $i}
% [0.012] perform cleanup of passive set
% [0.012] given: [¬in X4 X7+* | ¬in X7 X4*]
% [0.012] given: [¬proper_subset X4 X7+* | ¬proper_subset X7 X4*]
% [0.012] given: [set_union2 X4 X7 = set_union2 X7 X4*]
% [0.013] given: [¬empty zsk6+*]
% [0.013] given: [empty zsk5*]
% [0.013] given: [empty empty_set*]
% [0.013] given: [¬proper_subset X2 X2+*]
% [0.013] given: [disjoint zsk12 zsk13*]
% [0.013] given: [set_intersection2 X4 X7 = set_intersection2 X7 X4*]
% [0.014] given: [X16 = X26 | ¬subset X16 X26+* | ¬subset X26 X16*]
% [0.014] given: [subset X0 X0*]
% [0.014] given: [subset empty_set X2*]
% [0.014] given: [¬disjoint zsk11 zsk13+*]
% [0.015] given: [¬in X4 X7+* | ¬empty X7*]
% [0.015] given: [subset zsk11 zsk12*]
% [0.015] given: [X15 = empty_set | in (zsk0 X15) X15*]
% [0.015] given: [¬in X0 empty_set+*]
% [0.015] given: [X75 = set_union2 X32 X49 | in (zsk1 X32 X49 X75) X75* | in (zsk1 X32 X49 X75) X32* | in (zsk1 X32 X49 X75) X49*]
% [0.019] given: [X75 = set_union2 X32 X49 | ¬in (zsk1 X32 X49 X75) X75+* | ¬in (zsk1 X32 X49 X75) X49*]
% [0.019] given: [set_difference X4 empty_set = X4*]
% [0.019] given: [set_difference empty_set X4 = empty_set*]
% [0.019] given: [set_intersection2 X4 X4 = X4*]
% [0.020] given: [X75 = set_union2 X32 X49 | ¬in (zsk1 X32 X49 X75) X75+* | ¬in (zsk1 X32 X49 X75) X32*]
% [0.021] given: [in X1 X0 | in X1 X2 | ¬in X1 (set_union2 X2 X0)+*]
% [0.022] given: [in X2 (set_union2 X1 X0)* | ¬in X2 X0+]
% [0.022] given: [in X2 (set_union2 X1 X0)* | ¬in X2 X1+]
% [0.023] given: [set_union2 X4 X4 = X4*]
% [0.023] given: [¬proper_subset X7 X4+ | ¬subset X4 X7*]
% [0.023] given: [subset X12 X23 | in (zsk2 X12 X23) X12*]
% [0.024] given: [subset X12 X23 | ¬in (zsk2 X12 X23) X23+*]
% [0.024] given: [¬subset X12 X16+* | ¬in X19 X12* | in X19 X16*]
% [0.025] given: [X75 = set_intersection2 X32 X49 | in (zsk3 X32 X49 X75) X75* | in (zsk3 X32 X49 X75) X49*]
% [0.027] given: [set_intersection2 X4 empty_set = empty_set*]
% [0.027] given: [empty_set = set_intersection2 empty_set X0*]
% [0.028] given: [¬disjoint X8 X14* | ¬in X16 (set_intersection2 X8 X14)+*]
% [0.029] given: [set_union2 X4 empty_set = X4*]
% [0.029] given: [X75 = set_intersection2 X32 X49 | in (zsk3 X32 X49 X75) X75* | in (zsk3 X32 X49 X75) X32*]
% [0.033] given: [X75 = set_intersection2 X32 X49 | ¬in (zsk3 X32 X49 X75) X75+* | ¬in (zsk3 X32 X49 X75) X32* | ¬in (zsk3 X32 X49 X75) X49*]
% [0.033] given: [in X1 X0 | ¬in X1 (set_intersection2 X2 X0)+*]
% [0.035] given: [in X1 X0 | ¬in X1 (set_intersection2 X0 X2)+*]
% [0.037] given: [X0 = set_union2 empty_set X0*]
% [0.038] given: [¬in X2 X1+ | ¬in X2 X0 | in X2 (set_intersection2 X1 X0)*]
% [0.039] given: [X75 = set_difference X32 X49 | in (zsk4 X32 X49 X75) X75* | ¬in (zsk4 X32 X49 X75) X49+*]
% [0.040] given: [X75 = set_difference X32 X49 | in (zsk4 X32 X49 X75) X75* | in (zsk4 X32 X49 X75) X32*]
% [0.043] given: [X75 = set_difference X32 X49 | ¬in (zsk4 X32 X49 X75) X75+* | ¬in (zsk4 X32 X49 X75) X32* | in (zsk4 X32 X49 X75) X49*]
% [0.044] given: [subset (set_difference X2 X4) X2*]
% [0.044] given: [¬in X1 X0 | ¬in X1 (set_difference X2 X0)+*]
% [0.046] given: [in X1 X0 | ¬in X1 (set_difference X0 X2)+*]
% [0.048] given: [¬in X2 X1+ | in X2 X0 | in X2 (set_difference X1 X0)*]
% [0.049] given: [set_intersection2 X12 X20 ≠empty_set+ | disjoint X12 X20*]
% [0.050] given: [disjoint empty_set X0*]
% [0.050] given: [disjoint X0 empty_set*]
% [0.050] given: [subset X2 (set_union2 X2 X4)*]
% [0.051] given: [set_intersection2 X12 X16 = empty_set | ¬disjoint X12 X16+*]
% [0.051] given: [X16 = X26 | ¬subset X16 X26+* | proper_subset X16 X26]
% [0.052] given: [subset X16 X21* | ¬proper_subset X16 X21+]
% [0.052] given: [empty X4 | ¬empty (set_union2 X4 X6)+*]
% [0.052] given: [set_intersection2 zsk12 zsk13 = empty_set*]
% [0.053] given: [¬in X1 X0+* | ¬disjoint X0 X0*]
% [0.054] given: [empty X4 | ¬empty (set_union2 X6 X4)+*]
% [0.054] given: [set_difference X12 X20 = empty_set* | ¬subset X12 X20+]
% [0.055] given: [set_difference X12 X16 ≠empty_set+* | subset X12 X16]
% [0.055] given: [¬disjoint X4 X7+* | disjoint X7 X4*]
% [0.055] given: [disjoint zsk13 zsk12*]
% [0.055] given: [set_difference zsk11 zsk12 = empty_set*]
% [0.056] given: [set_difference X0 X0 = empty_set*]
% [0.056] given: [set_union2 X6 X10 = X10 | ¬subset X6 X10+*]
% [0.057] given: [subset (set_intersection2 X2 X4) X2*]
% [0.058] given: [¬subset X6 X10+ | ¬subset X6 X13 | subset X6 (set_intersection2 X10 X13)*]
% [0.058] given: [¬subset X6 X10+* | subset X6 X13* | ¬subset X10 X13*]
% [0.059] given: [set_union2 zsk11 zsk12 = zsk12*]
% [0.059] given: [¬in X2 (set_intersection2 X1 X0)+* | ¬disjoint X0 X1*]
% [0.061] given: [¬subset X4 X7+ | subset (set_intersection2 X4 X9) (set_intersection2 X7 X9)*]
% [0.062] given: [set_intersection2 X6 X10 = X6 | ¬subset X6 X10+*]
% [0.062] given: [X12 = X19 | in (zsk7 X12 X19) X12* | in (zsk7 X12 X19) X19*]
% [0.066] given: [X12 = X19 | ¬in (zsk7 X12 X19) X12+* | ¬in (zsk7 X12 X19) X19*]
% [0.066] given: [set_intersection2 zsk11 zsk12 = zsk11*]
% [0.066] given: [¬in X0 zsk11* | ¬disjoint zsk12 zsk11+*]
% [0.067] given: [¬subset X4 X7+ | subset (set_difference X4 X9) (set_difference X7 X9)*]
% [0.067] given: [set_union2 X4 (set_difference X7 X4) = set_union2 X4 X7*]
% [0.068] given: [¬disjoint X10 X17+* | ¬in X20 X10* | ¬in X20 X17*]
% [0.069] given: [disjoint X10 X13 | ¬proxy_logtk8 X13 X10+*]
% [0.069] given: [subset (set_intersection2 X1 X0) X0*]
% [0.070] given: [¬in X0 zsk12+ | ¬in X0 zsk13*]
% [0.071] given: [proxy_logtk8 X5 X6 | in (zsk9 X6 X5) X6*]
% [0.073] given: [proxy_logtk8 X5 X6 | in (zsk9 X6 X5) X5*]
% [0.074] given: [X6 = empty_set | ¬subset X6 empty_set+*]
% [0.074] given: [set_difference (set_union2 X4 X7) X7 = set_difference X4 X7*]
% [0.075] given: [proxy_logtk8 empty_set X0*]
% [0.076] given: [proxy_logtk8 X0 empty_set*]
% [0.076] given: [¬in X0 zsk11* | ¬disjoint zsk11 zsk12+*]
% [0.076] given: [set_difference X4 (set_difference X4 X7) = set_intersection2 X4 X7*]
% [0.078] given: [disjoint X8 X11 | in (zsk10 X11 X8) (set_intersection2 X8 X11)*]
% [0.079] given: [X6 = empty_set | ¬empty X6+*]
% [0.079] given: [zsk5 = empty_set*]
% [0.080] given: [X8 = X12* | ¬empty X8+* | ¬empty X12*]
% [0.080] given: [¬subset X6 X10+ | ¬subset X13 X10 | subset (set_union2 X6 X13) X10*]
% [0.081] given: [zsk11 = zsk12 | ¬subset zsk12 zsk11+*]
% [0.082] given: [subset X0 (set_union2 X1 X0)*]
% [0.083] given: [X0 = empty_set | ¬in X0 (zsk0 X0)+*]
% [0.084] given: [X0 = set_union2 X2 X1 | in (zsk1 X2 X1 X0) X2* | in (zsk1 X2 X1 X0) X1* | ¬in X0 (zsk1 X2 X1 X0)+]
% [0.085] given: [X0 = set_union2 X2 X1 | ¬empty X0+ | in (zsk1 X2 X1 X0) X2* | in (zsk1 X2 X1 X0) X1*]
% [0.085] given: [¬in X2 (set_intersection2 X1 X0)+ | ¬in X2 (set_difference X1 X0)*]
% [0.088] given: [set_difference X0 X0 = set_difference empty_set X0*]
% [0.089] given: [empty_set = set_union2 X1 X0 | in (zsk1 X1 X0 empty_set) X1* | in (zsk1 X1 X0 empty_set) X0*]
% [0.096] given: [X1 = set_union2 X0 X2 | in (zsk1 X0 X2 X1) X2* | in (zsk1 X0 X2 X1) X1* | ¬in X0 (zsk1 X0 X2 X1)+]
% [0.097] given: [X1 = set_union2 X0 X2 | ¬empty X0+ | in (zsk1 X0 X2 X1) X2* | in (zsk1 X0 X2 X1) X1*]
% [0.097] given: [X0 = X1 | in (zsk1 empty_set X1 X0) X0* | in (zsk1 empty_set X1 X0) X1*]
% [0.103] given: [X1 = set_union2 X2 X0 | in (zsk1 X2 X0 X1) X2* | in (zsk1 X2 X0 X1) X1* | ¬in X0 (zsk1 X2 X0 X1)+]
% [0.104] given: [X1 = set_union2 X2 X0 | ¬empty X0+ | in (zsk1 X2 X0 X1) X2* | in (zsk1 X2 X0 X1) X1*]
% [0.105] given: [X0 = X1 | in (zsk1 X1 empty_set X0) X0* | in (zsk1 X1 empty_set X0) X1*]
% [0.110] given: [X1 = set_union2 X0 X1 | in (zsk1 X0 X1 X1) X0* | in (zsk1 X0 X1 X1) X1*]
% [0.117] given: [set_union2 X0 empty_set = set_union2 X0 X0*]
% [0.119] given: [X1 = set_union2 X1 X0 | in (zsk1 X1 X0 X1) X0* | in (zsk1 X1 X0 X1) X1*]
% [0.126] given: [X0 = X1 | in (zsk1 X1 X1 X0) X0* | in (zsk1 X1 X1 X0) X1*]
% [0.133] given: [set_union2 X1 X0 = empty_set | in (zsk0 (set_union2 X1 X0)) X0* | in (zsk0 (set_union2 X1 X0)) X1*]
% [0.141] given: [set_union2 X1 X0 = set_union2 X3 X2 | in (zsk1 X3 X2 (set_union2 X1 X0)) X0* | in (zsk1 X3 X2 (set_union2 X1 X0)) X1* | in (zsk1 X3 X2 (set_union2 X1 X0)) X3* | in (zsk1 X3 X2 (set_union2 X1 X0)) X2*]
% [0.183] given: [¬in X2 (set_intersection2 X1 X0)+ | ¬in X2 (set_difference X0 X1)*]
% [0.188] given: [set_union2 X0 (set_difference X0 X1) = X0*]
% [0.192] given: [X2 = set_union2 (set_union2 X1 X0) X3 | in (zsk1 (set_union2 X1 X0) X3 X2) X1* | in (zsk1 (set_union2 X1 X0) X3 X2) X0* | in (zsk1 (set_union2 X1 X0) X3 X2) X3* | in (zsk1 (set_union2 X1 X0) X3 X2) X2*]
% [0.237] given: [X2 = set_union2 X3 (set_union2 X1 X0) | in (zsk1 X3 (set_union2 X1 X0) X2) X1* | in (zsk1 X3 (set_union2 X1 X0) X2) X0* | in (zsk1 X3 (set_union2 X1 X0) X2) X3* | in (zsk1 X3 (set_union2 X1 X0) X2) X2*]
% [0.288] given: [X0 = empty_set | in (zsk0 X0) (set_union2 X1 X0)*]
% [0.291] given: [X0 = set_union2 X2 X1 | in (zsk1 X2 X1 X0) X2* | in (zsk1 X2 X1 X0) X1* | in (zsk1 X2 X1 X0) (set_union2 X3 X0)*]
% [0.318] given: [X1 = set_union2 X0 X2 | in (zsk1 X0 X2 X1) X2* | in (zsk1 X0 X2 X1) X1* | in (zsk1 X0 X2 X1) (set_union2 X3 X0)*]
% [0.347] given: [X1 = set_union2 X2 X0 | in (zsk1 X2 X0 X1) X2* | in (zsk1 X2 X0 X1) X1* | in (zsk1 X2 X0 X1) (set_union2 X3 X0)*]
% [0.379] given: [X0 = empty_set | in (zsk0 X0) (set_union2 X0 X1)*]
% [0.381] given: [set_union2 X0 (set_intersection2 X0 X1) = X0*]
% [0.387] given: [X0 = set_union2 X2 X1 | in (zsk1 X2 X1 X0) X2* | in (zsk1 X2 X1 X0) X1* | in (zsk1 X2 X1 X0) (set_union2 X0 X3)*]
% [0.422] given: [X1 = set_union2 X0 X2 | in (zsk1 X0 X2 X1) X2* | in (zsk1 X0 X2 X1) X1* | in (zsk1 X0 X2 X1) (set_union2 X0 X3)*]
% [0.458] given: [X1 = set_union2 X2 X0 | in (zsk1 X2 X0 X1) X2* | in (zsk1 X2 X0 X1) X1* | in (zsk1 X2 X0 X1) (set_union2 X0 X3)*]
% [0.495] given: [subset X0 X1 | ¬in X0 (zsk2 X0 X1)+*]
% [0.495] given: [set_difference (set_intersection2 X0 X1) X0 = empty_set*]
% [0.497] given: [subset X0 X1* | ¬empty X0+*]
% [0.497] given: [subset X0 X1 | in (zsk2 X0 X1) (set_union2 X0 X2)*]
% [0.499] given: [subset X0 X1 | in (zsk2 X0 X1) (set_union2 X2 X0)*]
% [0.501] given: [set_difference X1 (set_union2 X1 X0) = empty_set*]
% [0.503] given: [in (zsk2 (set_union2 X1 X0) X2) X1* | in (zsk2 (set_union2 X1 X0) X2) X0* | subset (set_union2 X1 X0) X2]
% [0.511] given: [¬in X0 zsk11+ | in X0 zsk12*]
% [0.518] given: [set_difference (set_difference X0 X1) X0 = empty_set*]
% [0.520] given: [X0 = set_intersection2 X2 X1 | in (zsk3 X2 X1 X0) X1* | ¬in X0 (zsk3 X2 X1 X0)+]
% [0.520] given: [X0 = set_intersection2 X2 X1 | ¬empty X0+ | in (zsk3 X2 X1 X0) X1*]
% [0.521] given: [X0 = set_intersection2 X2 X1 | in (zsk3 X2 X1 X0) X1* | in (zsk3 X2 X1 X0) (set_union2 X0 X3)*]
% [0.529] given: [X0 = set_intersection2 X2 X1 | in (zsk3 X2 X1 X0) X1* | in (zsk3 X2 X1 X0) (set_union2 X3 X0)*]
% [0.537] given: [set_union2 X0 X0 = set_union2 empty_set X0*]
% [0.547] given: [empty_set = set_intersection2 X1 X0 | in (zsk3 X1 X0 empty_set) X0*]
% [0.551] given: [set_union2 X1 X0 = set_intersection2 X3 X2 | in (zsk3 X3 X2 (set_union2 X1 X0)) X0* | in (zsk3 X3 X2 (set_union2 X1 X0)) X1* | in (zsk3 X3 X2 (set_union2 X1 X0)) X2*]
% [0.573] given: [X1 = set_intersection2 X2 X0 | in (zsk3 X2 X0 X1) X1* | ¬in X0 (zsk3 X2 X0 X1)+]
% [0.574] given: [set_intersection2 X1 (set_union2 X1 X0) = X1*]
% [0.576] given: [X1 = set_intersection2 X2 X0 | ¬empty X0+ | in (zsk3 X2 X0 X1) X1*]
% [0.577] given: [X1 = set_intersection2 X2 X0 | in (zsk3 X2 X0 X1) X1* | in (zsk3 X2 X0 X1) (set_union2 X0 X3)*]
% [0.585] given: [X1 = set_intersection2 X2 X0 | in (zsk3 X2 X0 X1) X1* | in (zsk3 X2 X0 X1) (set_union2 X3 X0)*]
% [0.595] given: [¬in X2 X0* | ¬disjoint (set_union2 X0 X1) X0+*]
% [0.596] given: [set_union2 X0 (set_intersection2 X1 X0) = X0*]
% [0.602] given: [X0 = empty_set | in (zsk3 X1 empty_set X0) X0*]
% [0.606] given: [X2 = set_intersection2 X3 (set_union2 X1 X0) | in (zsk3 X3 (set_union2 X1 X0) X2) X1* | in (zsk3 X3 (set_union2 X1 X0) X2) X0* | in (zsk3 X3 (set_union2 X1 X0) X2) X2*]
% [0.633] given: [X0 = set_intersection2 X1 X0 | in (zsk3 X1 X0 X0) X0*]
% [0.638] given: [¬disjoint X1 X0+* | subset (set_intersection2 X1 X0) X2*]
% [0.638] given: [¬in X2 X0* | ¬disjoint (set_union2 X1 X0) X0+*]
% [0.639] given: [set_difference (set_intersection2 X1 X0) X0 = empty_set*]
% [0.642] given: [set_intersection2 X1 X0 = set_union2 X3 X2 | ¬disjoint X1 X0+ | in (zsk1 X3 X2 (set_intersection2 X1 X0)) X3* | in (zsk1 X3 X2 (set_intersection2 X1 X0)) X2*]
% [0.643] given: [X2 = set_union2 (set_intersection2 X1 X0) X3 | ¬disjoint X1 X0+ | in (zsk1 (set_intersection2 X1 X0) X3 X2) X3* | in (zsk1 (set_intersection2 X1 X0) X3 X2) X2*]
% [0.645] given: [X2 = set_union2 X3 (set_intersection2 X1 X0) | ¬disjoint X1 X0+ | in (zsk1 X3 (set_intersection2 X1 X0) X2) X3* | in (zsk1 X3 (set_intersection2 X1 X0) X2) X2*]
% [0.647] given: [set_intersection2 X1 X0 = set_intersection2 X3 X2 | ¬disjoint X1 X0+ | in (zsk3 X3 X2 (set_intersection2 X1 X0)) X2*]
% [0.648] given: [X2 = set_intersection2 X3 (set_intersection2 X1 X0) | ¬disjoint X1 X0+ | in (zsk3 X3 (set_intersection2 X1 X0) X2) X2*]
% [0.649] given: [X0 = set_intersection2 X2 X1 | ¬in X0 (zsk3 X2 X1 X0)+ | in (zsk3 X2 X1 X0) X2*]
% [0.650] given: [X0 = set_intersection2 X2 X1 | ¬empty X0+ | in (zsk3 X2 X1 X0) X2*]
% [0.651] given: [X0 = set_intersection2 X2 X1 | in (zsk3 X2 X1 X0) (set_union2 X0 X3)* | in (zsk3 X2 X1 X0) X2*]
% [0.666] given: [X0 = set_intersection2 X2 X1 | in (zsk3 X2 X1 X0) (set_union2 X3 X0)* | in (zsk3 X2 X1 X0) X2*]
% [0.684] given: [empty_set = set_intersection2 X1 X0 | in (zsk3 X1 X0 empty_set) X1*]
% [0.692] given: [set_intersection2 X0 (set_union2 X1 X0) = X0*]
% [0.696] given: [set_union2 X1 X0 = set_intersection2 X3 X2 | in (zsk3 X3 X2 (set_union2 X1 X0)) X0* | in (zsk3 X3 X2 (set_union2 X1 X0)) X1* | in (zsk3 X3 X2 (set_union2 X1 X0)) X3*]
% [0.736] given: [set_intersection2 X1 X0 = set_intersection2 X3 X2 | ¬disjoint X1 X0+ | in (zsk3 X3 X2 (set_intersection2 X1 X0)) X3*]
% [0.737] given: [X1 = set_intersection2 X0 X2 | in (zsk3 X0 X2 X1) X1* | ¬in X0 (zsk3 X0 X2 X1)+]
% [0.738] given: [X1 = set_intersection2 X0 X2 | ¬empty X0+ | in (zsk3 X0 X2 X1) X1*]
% [0.738] given: [set_difference X0 (set_union2 X1 X0) = empty_set*]
% [0.740] given: [¬in X2 X0* | ¬disjoint X0 (set_union2 X1 X0)+*]
% [0.741] given: [X1 = set_intersection2 X0 X2 | in (zsk3 X0 X2 X1) X1* | in (zsk3 X0 X2 X1) (set_union2 X0 X3)*]
% [0.758] given: [X1 = set_intersection2 X0 X2 | in (zsk3 X0 X2 X1) X1* | in (zsk3 X0 X2 X1) (set_union2 X3 X0)*]
% [0.778] given: [X2 = set_intersection2 (set_union2 X1 X0) X3 | in (zsk3 (set_union2 X1 X0) X3 X2) X1* | in (zsk3 (set_union2 X1 X0) X3 X2) X0* | in (zsk3 (set_union2 X1 X0) X3 X2) X2*]
% [0.833] given: [X2 = set_intersection2 (set_intersection2 X1 X0) X3 | ¬disjoint X1 X0+ | in (zsk3 (set_intersection2 X1 X0) X3 X2) X2*]
% [0.834] given: [subset (set_difference X0 X1) (set_union2 X1 X0)*]
% [0.837] given: [X0 = set_intersection2 X0 X1 | in (zsk3 X0 X1 X0) X0*]
% [0.844] given: [X0 = empty_set | in (zsk3 empty_set X1 X0) X0*]
% [0.849] given: [subset (set_difference zsk11 X0) (set_difference zsk12 X0)*]
% [0.851] given: [subset (set_difference zsk11 (set_union2 X0 zsk12)) empty_set*]
% [0.853] given: [¬in X2 X1* | ¬disjoint X1 (set_union2 X1 X0)+*]
% [0.854] given: [empty_set = set_difference zsk11 (set_union2 X0 zsk12)*]
% [0.856] given: [set_intersection2 X1 X0 = empty_set | in (zsk0 (set_intersection2 X1 X0)) X0*]
% [0.859] given: [subset zsk11 (set_union2 X0 zsk12)*]
% [0.860] given: [subset zsk11 (set_union2 zsk12 X0)*]
% [0.862] given: [subset (set_intersection2 X1 X0) X2 | in (zsk2 (set_intersection2 X1 X0) X2) X0*]
% [0.867] given: [set_intersection2 X1 X0 = set_union2 X3 X2 | in (zsk1 X3 X2 (set_intersection2 X1 X0)) X3* | in (zsk1 X3 X2 (set_intersection2 X1 X0)) X2* | in (zsk1 X3 X2 (set_intersection2 X1 X0)) X0*]
% [0.920] given: [X2 = set_union2 (set_intersection2 X1 X0) X3 | in (zsk1 (set_intersection2 X1 X0) X3 X2) X3* | in (zsk1 (set_intersection2 X1 X0) X3 X2) X2* | in (zsk1 (set_intersection2 X1 X0) X3 X2) X0*]
% [0.969] given: [zsk11 = set_intersection2 zsk11 (set_union2 X0 zsk12)*]
% [0.972] given: [zsk11 = set_intersection2 zsk11 (set_union2 zsk12 X0)*]
% [0.977] given: [X2 = set_union2 X3 (set_intersection2 X1 X0) | in (zsk1 X3 (set_intersection2 X1 X0) X2) X3* | in (zsk1 X3 (set_intersection2 X1 X0) X2) X2* | in (zsk1 X3 (set_intersection2 X1 X0) X2) X0*]
% [1.034] given: [set_intersection2 X1 X0 = set_intersection2 X3 X2 | in (zsk3 X3 X2 (set_intersection2 X1 X0)) X2* | in (zsk3 X3 X2 (set_intersection2 X1 X0)) X0*]
% [1.057] given: [set_intersection2 X1 X0 = set_intersection2 X3 X2 | in (zsk3 X3 X2 (set_intersection2 X1 X0)) X3* | in (zsk3 X3 X2 (set_intersection2 X1 X0)) X0*]
% [1.083] given: [X2 = set_intersection2 (set_intersection2 X1 X0) X3 | in (zsk3 (set_intersection2 X1 X0) X3 X2) X2* | in (zsk3 (set_intersection2 X1 X0) X3 X2) X0*]
% [1.113] given: [empty_set = set_difference zsk11 (set_union2 zsk12 X0)*]
% [1.116] given: [X2 = set_intersection2 X3 (set_intersection2 X1 X0) | in (zsk3 X3 (set_intersection2 X1 X0) X2) X2* | in (zsk3 X3 (set_intersection2 X1 X0) X2) X0*]
% [1.147] given: [set_intersection2 X1 X0 = empty_set | in (zsk0 (set_intersection2 X1 X0)) X1*]
% [1.150] given: [subset (set_intersection2 X1 X0) X2 | in (zsk2 (set_intersection2 X1 X0) X2) X1*]
% [1.154] given: [¬in X1 zsk11* | ¬disjoint (set_union2 zsk12 X0) zsk11+*]
% [1.156] given: [set_intersection2 X1 X0 = set_union2 X3 X2 | in (zsk1 X3 X2 (set_intersection2 X1 X0)) X3* | in (zsk1 X3 X2 (set_intersection2 X1 X0)) X2* | in (zsk1 X3 X2 (set_intersection2 X1 X0)) X1*]
% [1.216] given: [X2 = set_union2 (set_intersection2 X1 X0) X3 | in (zsk1 (set_intersection2 X1 X0) X3 X2) X3* | in (zsk1 (set_intersection2 X1 X0) X3 X2) X2* | in (zsk1 (set_intersection2 X1 X0) X3 X2) X1*]
% [1.278] given: [X2 = set_union2 X3 (set_intersection2 X1 X0) | in (zsk1 X3 (set_intersection2 X1 X0) X2) X3* | in (zsk1 X3 (set_intersection2 X1 X0) X2) X2* | in (zsk1 X3 (set_intersection2 X1 X0) X2) X1*]
% [1.345] given: [set_intersection2 X1 X0 = set_intersection2 X3 X2 | in (zsk3 X3 X2 (set_intersection2 X1 X0)) X2* | in (zsk3 X3 X2 (set_intersection2 X1 X0)) X1*]
% [1.373] given: [subset (set_intersection2 zsk11 X0) (set_intersection2 zsk12 X0)*]
% [1.375] given: [subset (set_intersection2 zsk11 zsk13) empty_set*]
% [1.378] given: [set_intersection2 X1 X0 = set_intersection2 X3 X2 | in (zsk3 X3 X2 (set_intersection2 X1 X0)) X3* | in (zsk3 X3 X2 (set_intersection2 X1 X0)) X1*]
% [1.407] given: [X2 = set_intersection2 (set_intersection2 X1 X0) X3 | in (zsk3 (set_intersection2 X1 X0) X3 X2) X2* | in (zsk3 (set_intersection2 X1 X0) X3 X2) X1*]
% [1.439] given: [X2 = set_intersection2 X3 (set_intersection2 X1 X0) | in (zsk3 X3 (set_intersection2 X1 X0) X2) X2* | in (zsk3 X3 (set_intersection2 X1 X0) X2) X1*]
% [1.471] given: [empty_set = set_intersection2 zsk11 zsk13*]
% [1.476] given: [disjoint zsk11 zsk13*]
% [1.477] done 372 iterations
% [1.477] final precedence: zsk13 > zsk12 > zsk11 > zsk10 > zsk9 > proxy_logtk8 > zsk7 > zsk6 > zsk5 > zsk4 > zsk3 > zsk2 > zsk1 > zsk0 > empty > disjoint > set_difference > empty_set > subset > set_intersection2 > set_union2 > proper_subset > in > $greatereq > $greater > $lesseq > $less > $to_rat > $to_int > $is_rat > $is_int > $remainder_f > $remainder_t > $remainder_e > $quotient_f > $quotient_t > $quotient_e > $quotient > $product > $uminus > $difference > $sum > $round > $truncate > $ceiling > $floor > $i > _ > ∀ > ∃ > false > true > ≠> = > <~> > <=> > → > ∨ > ∧ > ¬
% [1.477] =================================================
% [1.477] print proof graph to /tmp/truc.dot
% SZS status Theorem for 'examples/SEU140+2.p'
% SZS output start Refutation
⊥ <--- inf sup-, theories [] with
disjoint zsk11 zsk13
¬disjoint zsk11 zsk13
disjoint zsk11 zsk13 <--- simp simplify, theories [] with
empty_set ≠empty_set ∨ disjoint zsk11 zsk13
¬disjoint zsk11 zsk13 <--- esa cnf, theories [] with
¬ ∀ Y0: $i. ∀ Y1: $i. ∀ Y2: $i. ((subset Y0 Y1 ∧ disjoint Y1 Y2) => disjoint Y0 Y2)
empty_set ≠empty_set ∨ disjoint zsk11 zsk13 <--- inf sup-, theories [] with
empty_set = set_intersection2 zsk11 zsk13
set_intersection2 X12 X20 ≠empty_set ∨ disjoint X12 X20
¬ ∀ Y0: $i. ∀ Y1: $i. ∀ Y2: $i. ((subset Y0 Y1 ∧ disjoint Y1 Y2) => disjoint Y0 Y2) <--- axiom 't63_xboole_1' in 'examples/SEU140+2.p', theories []
empty_set = set_intersection2 zsk11 zsk13 <--- simp demod, theories [] with
set_intersection2 (set_intersection2 zsk11 zsk13) empty_set = set_intersection2 zsk11 zsk13
set_intersection2 X4 empty_set = empty_set
set_intersection2 X12 X20 ≠empty_set ∨ disjoint X12 X20 <--- esa cnf, theories [] with
∀ Y0: $i. ∀ Y1: $i. (disjoint Y0 Y1 <=> set_intersection2 Y0 Y1 = empty_set)
set_intersection2 (set_intersection2 zsk11 zsk13) empty_set = set_intersection2 zsk11 zsk13 <--- inf sup-, theories [] with
subset (set_intersection2 zsk11 zsk13) empty_set
set_intersection2 X6 X10 = X6 ∨ ¬subset X6 X10
set_intersection2 X4 empty_set = empty_set <--- esa cnf, theories [] with
∀ Y0: $i. set_intersection2 Y0 empty_set = empty_set
∀ Y0: $i. ∀ Y1: $i. (disjoint Y0 Y1 <=> set_intersection2 Y0 Y1 = empty_set) <--- axiom 'd7_xboole_0' in 'examples/SEU140+2.p', theories []
subset (set_intersection2 zsk11 zsk13) empty_set <--- inf sup+, theories [] with
set_intersection2 zsk12 zsk13 = empty_set
subset (set_intersection2 zsk11 X0) (set_intersection2 zsk12 X0)
set_intersection2 X6 X10 = X6 ∨ ¬subset X6 X10 <--- esa cnf, theories [] with
∀ Y0: $i. ∀ Y1: $i. (subset Y0 Y1 => set_intersection2 Y0 Y1 = Y0)
∀ Y0: $i. set_intersection2 Y0 empty_set = empty_set <--- axiom 't2_boole' in 'examples/SEU140+2.p', theories []
set_intersection2 zsk12 zsk13 = empty_set <--- inf sup-, theories [] with
disjoint zsk12 zsk13
set_intersection2 X12 X16 = empty_set ∨ ¬disjoint X12 X16
subset (set_intersection2 zsk11 X0) (set_intersection2 zsk12 X0) <--- inf sup-, theories [] with
subset zsk11 zsk12
¬subset X4 X7 ∨ subset (set_intersection2 X4 X9) (set_intersection2 X7 X9)
∀ Y0: $i. ∀ Y1: $i. (subset Y0 Y1 => set_intersection2 Y0 Y1 = Y0) <--- axiom 't28_xboole_1' in 'examples/SEU140+2.p', theories []
disjoint zsk12 zsk13 <--- esa cnf, theories [] with
¬ ∀ Y0: $i. ∀ Y1: $i. ∀ Y2: $i. ((subset Y0 Y1 ∧ disjoint Y1 Y2) => disjoint Y0 Y2)
set_intersection2 X12 X16 = empty_set ∨ ¬disjoint X12 X16 <--- esa cnf, theories [] with
∀ Y0: $i. ∀ Y1: $i. (disjoint Y0 Y1 <=> set_intersection2 Y0 Y1 = empty_set)
subset zsk11 zsk12 <--- esa cnf, theories [] with
¬ ∀ Y0: $i. ∀ Y1: $i. ∀ Y2: $i. ((subset Y0 Y1 ∧ disjoint Y1 Y2) => disjoint Y0 Y2)
¬subset X4 X7 ∨ subset (set_intersection2 X4 X9) (set_intersection2 X7 X9) <--- esa cnf, theories [] with
∀ Y0: $i. ∀ Y1: $i. ∀ Y2: $i. (subset Y0 Y1 => subset (set_intersection2 Y0 Y2) (set_intersection2 Y1 Y2))
∀ Y0: $i. ∀ Y1: $i. ∀ Y2: $i. (subset Y0 Y1 => subset (set_intersection2 Y0 Y2) (set_intersection2 Y1 Y2)) <--- axiom 't26_xboole_1' in 'examples/SEU140+2.p', theories []
% SZS output end Refutation
% [1.477] =================================================
% [1.477] run time: 1.477