TSTP Solution File: SET380-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET380-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 15:07:45 EDT 2023
% Result : Unsatisfiable 260.43s 34.95s
% Output : CNFRefutation 260.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 29 ( 9 unt; 8 nHn; 21 RR)
% Number of literals : 53 ( 5 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 56 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ subclass(restrict(xf,x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property1_1) ).
cnf(c_71,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_72,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_73,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_84,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c_85,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(c_86,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(c_87,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_91,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_99,plain,
intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction2) ).
cnf(c_269597,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_72,c_91]) ).
cnf(c_269710,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_270796,plain,
( member(not_subclass_element(restrict(X0,X1,X2),X3),cross_product(X1,X2))
| subclass(intersection(cross_product(X1,X2),X0),X3) ),
inference(superposition,[status(thm)],[c_99,c_269597]) ).
cnf(c_270815,plain,
( ordered_pair(first(not_subclass_element(intersection(cross_product(X0,X1),X2),X3)),second(not_subclass_element(intersection(cross_product(X0,X1),X2),X3))) = not_subclass_element(intersection(cross_product(X0,X1),X2),X3)
| subclass(intersection(cross_product(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_269597,c_87]) ).
cnf(c_270853,plain,
( member(not_subclass_element(restrict(X0,X1,X2),X3),cross_product(X1,X2))
| subclass(restrict(X0,X1,X2),X3) ),
inference(demodulation,[status(thm)],[c_270796,c_99]) ).
cnf(c_270862,plain,
( ordered_pair(first(not_subclass_element(restrict(X0,X1,X2),X3)),second(not_subclass_element(restrict(X0,X1,X2),X3))) = not_subclass_element(restrict(X0,X1,X2),X3)
| subclass(restrict(X0,X1,X2),X3) ),
inference(demodulation,[status(thm)],[c_270815,c_99]) ).
cnf(c_380104,plain,
ordered_pair(first(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),second(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class)))) = not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class)),
inference(superposition,[status(thm)],[c_270862,c_49]) ).
cnf(c_380466,plain,
( ~ member(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))
| member(second(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),X1) ),
inference(superposition,[status(thm)],[c_380104,c_85]) ).
cnf(c_380472,plain,
( ~ member(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1))
| member(first(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),X0) ),
inference(superposition,[status(thm)],[c_380104,c_84]) ).
cnf(c_380484,plain,
( ~ member(first(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),X0)
| ~ member(second(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),X1)
| member(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class)),cross_product(X0,X1)) ),
inference(superposition,[status(thm)],[c_380104,c_86]) ).
cnf(c_384486,plain,
( member(second(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),y)
| subclass(restrict(xf,x,y),cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_270853,c_380466]) ).
cnf(c_384487,plain,
member(second(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),y),
inference(forward_subsumption_resolution,[status(thm)],[c_384486,c_49]) ).
cnf(c_384666,plain,
member(second(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),universal_class),
inference(superposition,[status(thm)],[c_384487,c_269710]) ).
cnf(c_384694,plain,
( member(first(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),x)
| subclass(restrict(xf,x,y),cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_270853,c_380472]) ).
cnf(c_384695,plain,
member(first(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),x),
inference(forward_subsumption_resolution,[status(thm)],[c_384694,c_49]) ).
cnf(c_384700,plain,
member(first(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),universal_class),
inference(superposition,[status(thm)],[c_384695,c_269710]) ).
cnf(c_387375,plain,
( ~ member(first(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),universal_class)
| ~ member(second(not_subclass_element(restrict(xf,x,y),cross_product(universal_class,universal_class))),universal_class)
| subclass(restrict(xf,x,y),cross_product(universal_class,universal_class)) ),
inference(superposition,[status(thm)],[c_380484,c_73]) ).
cnf(c_387384,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_387375,c_49,c_384666,c_384700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET380-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 11:56:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 260.43/34.95 % SZS status Started for theBenchmark.p
% 260.43/34.95 % SZS status Unsatisfiable for theBenchmark.p
% 260.43/34.95
% 260.43/34.95 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 260.43/34.95
% 260.43/34.95 ------ iProver source info
% 260.43/34.95
% 260.43/34.95 git: date: 2023-05-31 18:12:56 +0000
% 260.43/34.95 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 260.43/34.95 git: non_committed_changes: false
% 260.43/34.95 git: last_make_outside_of_git: false
% 260.43/34.95
% 260.43/34.95 ------ Parsing...successful
% 260.43/34.95
% 260.43/34.95
% 260.43/34.95
% 260.43/34.95 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 260.43/34.95
% 260.43/34.95 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 260.43/34.95
% 260.43/34.95 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 260.43/34.95 ------ Proving...
% 260.43/34.95 ------ Problem Properties
% 260.43/34.95
% 260.43/34.95
% 260.43/34.95 clauses 101
% 260.43/34.95 conjectures 1
% 260.43/34.95 EPR 12
% 260.43/34.95 Horn 93
% 260.43/34.95 unary 40
% 260.43/34.95 binary 40
% 260.43/34.95 lits 189
% 260.43/34.95 lits eq 44
% 260.43/34.95 fd_pure 0
% 260.43/34.95 fd_pseudo 0
% 260.43/34.95 fd_cond 3
% 260.43/34.95 fd_pseudo_cond 7
% 260.43/34.95 AC symbols 0
% 260.43/34.95
% 260.43/34.95 ------ Input Options Time Limit: Unbounded
% 260.43/34.95
% 260.43/34.95
% 260.43/34.95 ------
% 260.43/34.95 Current options:
% 260.43/34.95 ------
% 260.43/34.95
% 260.43/34.95
% 260.43/34.95
% 260.43/34.95
% 260.43/34.95 ------ Proving...
% 260.43/34.95
% 260.43/34.95
% 260.43/34.95 % SZS status Unsatisfiable for theBenchmark.p
% 260.43/34.95
% 260.43/34.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 260.43/34.95
% 260.43/34.95
%------------------------------------------------------------------------------