TSTP Solution File: SET154-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET154-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 : Mon Jun 24 14:33:32 EDT 2024
% Result : Unsatisfiable 36.43s 5.74s
% Output : CNFRefutation 36.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
union(complement(x),x) != universal_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_with_complement_1) ).
cnf(c_71,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(c_72,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_73,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_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_77,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_91,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_92,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_95,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(c_96,plain,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(c_3029,plain,
complement(x) = sP0_iProver_def,
definition ).
cnf(c_3030,plain,
union(sP0_iProver_def,x) = sP1_iProver_def,
definition ).
cnf(c_3031,negated_conjecture,
sP1_iProver_def != universal_class,
inference(demodulation,[status(thm)],[c_49,c_3029,c_3030]) ).
cnf(c_4261,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4263,plain,
( ~ member(X0,x)
| ~ member(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_3029,c_94]) ).
cnf(c_4447,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4509,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4447]) ).
cnf(c_4568,plain,
( ~ member(X0,universal_class)
| member(X0,x)
| member(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_3029,c_95]) ).
cnf(c_4599,plain,
complement(intersection(complement(X0),sP0_iProver_def)) = union(X0,x),
inference(superposition,[status(thm)],[c_3029,c_96]) ).
cnf(c_4891,plain,
( member(not_subclass_element(X0,X1),x)
| member(not_subclass_element(X0,X1),sP0_iProver_def)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_4509,c_4568]) ).
cnf(c_5049,plain,
( ~ subclass(universal_class,sP1_iProver_def)
| ~ subclass(sP1_iProver_def,universal_class)
| sP1_iProver_def = universal_class ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_5189,plain,
( ~ member(X0,universal_class)
| member(X0,intersection(complement(X1),sP0_iProver_def))
| member(X0,union(X1,x)) ),
inference(superposition,[status(thm)],[c_4599,c_95]) ).
cnf(c_8114,plain,
subclass(sP1_iProver_def,universal_class),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_22513,plain,
( member(not_subclass_element(X0,x),sP0_iProver_def)
| subclass(X0,x) ),
inference(superposition,[status(thm)],[c_4891,c_73]) ).
cnf(c_22581,plain,
subclass(complement(sP0_iProver_def),x),
inference(superposition,[status(thm)],[c_22513,c_4261]) ).
cnf(c_22591,plain,
( ~ member(X0,complement(sP0_iProver_def))
| member(X0,x) ),
inference(superposition,[status(thm)],[c_22581,c_71]) ).
cnf(c_96468,plain,
( ~ member(X0,universal_class)
| member(X0,union(X1,x))
| member(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_5189,c_92]) ).
cnf(c_96469,plain,
( ~ member(X0,universal_class)
| member(X0,union(X1,x))
| member(X0,complement(X1)) ),
inference(superposition,[status(thm)],[c_5189,c_91]) ).
cnf(c_96796,plain,
( ~ member(X0,universal_class)
| member(X0,sP0_iProver_def)
| member(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_3030,c_96468]) ).
cnf(c_97670,plain,
( ~ member(X0,universal_class)
| member(X0,complement(sP0_iProver_def))
| member(X0,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_3030,c_96469]) ).
cnf(c_97903,plain,
( ~ member(X0,universal_class)
| member(X0,sP1_iProver_def) ),
inference(global_subsumption_just,[status(thm)],[c_97670,c_4263,c_22591,c_96796,c_97670]) ).
cnf(c_97910,plain,
( member(not_subclass_element(universal_class,X0),sP1_iProver_def)
| subclass(universal_class,X0) ),
inference(superposition,[status(thm)],[c_72,c_97903]) ).
cnf(c_98158,plain,
subclass(universal_class,sP1_iProver_def),
inference(superposition,[status(thm)],[c_97910,c_73]) ).
cnf(c_98164,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_98158,c_8114,c_5049,c_3031]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET154-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jun 23 12:24:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 36.43/5.74 % SZS status Started for theBenchmark.p
% 36.43/5.74 % SZS status Unsatisfiable for theBenchmark.p
% 36.43/5.74
% 36.43/5.74 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 36.43/5.74
% 36.43/5.74 ------ iProver source info
% 36.43/5.74
% 36.43/5.74 git: date: 2024-06-12 09:56:46 +0000
% 36.43/5.74 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 36.43/5.74 git: non_committed_changes: false
% 36.43/5.74
% 36.43/5.74 ------ Parsing...successful
% 36.43/5.74
% 36.43/5.74
% 36.43/5.74
% 36.43/5.74 ------ 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
% 36.43/5.74
% 36.43/5.74 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 36.43/5.74
% 36.43/5.74 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 36.43/5.74 ------ Proving...
% 36.43/5.74 ------ Problem Properties
% 36.43/5.74
% 36.43/5.74
% 36.43/5.74 clauses 103
% 36.43/5.74 conjectures 1
% 36.43/5.74 EPR 13
% 36.43/5.74 Horn 95
% 36.43/5.74 unary 42
% 36.43/5.74 binary 40
% 36.43/5.74 lits 191
% 36.43/5.74 lits eq 47
% 36.43/5.74 fd_pure 0
% 36.43/5.74 fd_pseudo 0
% 36.43/5.74 fd_cond 3
% 36.43/5.74 fd_pseudo_cond 7
% 36.43/5.74 AC symbols 0
% 36.43/5.74
% 36.43/5.74 ------ Schedule dynamic 5 is on
% 36.43/5.74
% 36.43/5.74 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 36.43/5.74
% 36.43/5.74
% 36.43/5.74 ------
% 36.43/5.74 Current options:
% 36.43/5.74 ------
% 36.43/5.74
% 36.43/5.74
% 36.43/5.74
% 36.43/5.74
% 36.43/5.74 ------ Proving...
% 36.43/5.74
% 36.43/5.74
% 36.43/5.74 % SZS status Unsatisfiable for theBenchmark.p
% 36.43/5.74
% 36.43/5.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.43/5.74
% 36.43/5.74
%------------------------------------------------------------------------------