TSTP Solution File: SET208-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET208-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 15:07:11 EDT 2023
% Result : Unsatisfiable 66.26s 9.80s
% Output : CNFRefutation 66.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 25 ( 7 unt; 6 nHn; 22 RR)
% Number of literals : 47 ( 5 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_is_monotonic1_1) ).
cnf(c_50,negated_conjecture,
~ subclass(cross_product(x,z),cross_product(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_is_monotonic1_2) ).
cnf(c_72,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_73,plain,
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_74,plain,
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(c_85,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c_86,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(c_87,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
cnf(c_88,plain,
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).
cnf(c_3532,plain,
( ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2))) = not_subclass_element(cross_product(X0,X1),X2)
| subclass(cross_product(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_88]) ).
cnf(c_3854,plain,
ordered_pair(first(not_subclass_element(cross_product(x,z),cross_product(y,z))),second(not_subclass_element(cross_product(x,z),cross_product(y,z)))) = not_subclass_element(cross_product(x,z),cross_product(y,z)),
inference(superposition,[status(thm)],[c_3532,c_50]) ).
cnf(c_4260,plain,
( ~ member(not_subclass_element(cross_product(x,z),cross_product(y,z)),cross_product(X0,X1))
| member(second(not_subclass_element(cross_product(x,z),cross_product(y,z))),X1) ),
inference(superposition,[status(thm)],[c_3854,c_86]) ).
cnf(c_4261,plain,
( ~ member(not_subclass_element(cross_product(x,z),cross_product(y,z)),cross_product(X0,X1))
| member(first(not_subclass_element(cross_product(x,z),cross_product(y,z))),X0) ),
inference(superposition,[status(thm)],[c_3854,c_85]) ).
cnf(c_4262,plain,
( ~ member(first(not_subclass_element(cross_product(x,z),cross_product(y,z))),X0)
| ~ member(second(not_subclass_element(cross_product(x,z),cross_product(y,z))),X1)
| member(not_subclass_element(cross_product(x,z),cross_product(y,z)),cross_product(X0,X1)) ),
inference(superposition,[status(thm)],[c_3854,c_87]) ).
cnf(c_7045,plain,
( member(second(not_subclass_element(cross_product(x,z),cross_product(y,z))),z)
| subclass(cross_product(x,z),cross_product(y,z)) ),
inference(superposition,[status(thm)],[c_73,c_4260]) ).
cnf(c_7069,plain,
( member(first(not_subclass_element(cross_product(x,z),cross_product(y,z))),x)
| subclass(cross_product(x,z),cross_product(y,z)) ),
inference(superposition,[status(thm)],[c_73,c_4261]) ).
cnf(c_7097,plain,
( ~ member(first(not_subclass_element(cross_product(x,z),cross_product(y,z))),y)
| ~ member(second(not_subclass_element(cross_product(x,z),cross_product(y,z))),z)
| subclass(cross_product(x,z),cross_product(y,z)) ),
inference(superposition,[status(thm)],[c_4262,c_74]) ).
cnf(c_7910,plain,
( ~ member(X0,x)
| member(X0,y) ),
inference(superposition,[status(thm)],[c_49,c_72]) ).
cnf(c_7962,plain,
( ordered_pair(first(not_subclass_element(cross_product(X0,X1),X2)),second(not_subclass_element(cross_product(X0,X1),X2))) = not_subclass_element(cross_product(X0,X1),X2)
| subclass(cross_product(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_88]) ).
cnf(c_8223,plain,
ordered_pair(first(not_subclass_element(cross_product(x,z),cross_product(y,z))),second(not_subclass_element(cross_product(x,z),cross_product(y,z)))) = not_subclass_element(cross_product(x,z),cross_product(y,z)),
inference(superposition,[status(thm)],[c_7962,c_50]) ).
cnf(c_8573,plain,
( ~ member(not_subclass_element(cross_product(x,z),cross_product(y,z)),cross_product(X0,X1))
| member(first(not_subclass_element(cross_product(x,z),cross_product(y,z))),X0) ),
inference(superposition,[status(thm)],[c_8223,c_85]) ).
cnf(c_11035,plain,
( member(first(not_subclass_element(cross_product(x,z),cross_product(y,z))),x)
| subclass(cross_product(x,z),cross_product(y,z)) ),
inference(superposition,[status(thm)],[c_73,c_8573]) ).
cnf(c_11043,plain,
member(first(not_subclass_element(cross_product(x,z),cross_product(y,z))),x),
inference(global_subsumption_just,[status(thm)],[c_11035,c_50,c_7069]) ).
cnf(c_28372,plain,
member(first(not_subclass_element(cross_product(x,z),cross_product(y,z))),y),
inference(superposition,[status(thm)],[c_11043,c_7910]) ).
cnf(c_28373,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_28372,c_7097,c_7045,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET208-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.16 % Command : run_iprover %s %d THM
% 0.15/0.39 % Computer : n021.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8042.1875MB
% 0.15/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sat Aug 26 16:04:12 EDT 2023
% 0.15/0.39 % CPUTime :
% 0.24/0.51 Running first-order theorem proving
% 0.24/0.51 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 66.26/9.80 % SZS status Started for theBenchmark.p
% 66.26/9.80 % SZS status Unsatisfiable for theBenchmark.p
% 66.26/9.80
% 66.26/9.80 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 66.26/9.80
% 66.26/9.80 ------ iProver source info
% 66.26/9.80
% 66.26/9.80 git: date: 2023-05-31 18:12:56 +0000
% 66.26/9.80 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 66.26/9.80 git: non_committed_changes: false
% 66.26/9.80 git: last_make_outside_of_git: false
% 66.26/9.80
% 66.26/9.80 ------ Parsing...successful
% 66.26/9.80
% 66.26/9.80
% 66.26/9.80
% 66.26/9.80 ------ Preprocessing... sup_sim: 0 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
% 66.26/9.80
% 66.26/9.80 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 66.26/9.80
% 66.26/9.80 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 66.26/9.80 ------ Proving...
% 66.26/9.80 ------ Problem Properties
% 66.26/9.80
% 66.26/9.80
% 66.26/9.80 clauses 102
% 66.26/9.80 conjectures 2
% 66.26/9.80 EPR 13
% 66.26/9.80 Horn 94
% 66.26/9.80 unary 41
% 66.26/9.80 binary 40
% 66.26/9.80 lits 190
% 66.26/9.80 lits eq 44
% 66.26/9.80 fd_pure 0
% 66.26/9.80 fd_pseudo 0
% 66.26/9.80 fd_cond 3
% 66.26/9.80 fd_pseudo_cond 7
% 66.26/9.80 AC symbols 0
% 66.26/9.80
% 66.26/9.80 ------ Input Options Time Limit: Unbounded
% 66.26/9.80
% 66.26/9.80
% 66.26/9.80 ------
% 66.26/9.80 Current options:
% 66.26/9.80 ------
% 66.26/9.80
% 66.26/9.80
% 66.26/9.80
% 66.26/9.80
% 66.26/9.80 ------ Proving...
% 66.26/9.80
% 66.26/9.80
% 66.26/9.80 % SZS status Unsatisfiable for theBenchmark.p
% 66.26/9.80
% 66.26/9.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 66.26/9.81
% 66.26/9.81
%------------------------------------------------------------------------------