TSTP Solution File: SET206-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET206-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 14:34:08 EDT 2024
% Result : Unsatisfiable 17.95s 3.20s
% Output : CNFRefutation 17.95s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
cross_product(null_class,y) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_with_null_class2_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_74,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(c_87,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_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_136,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_3029,plain,
cross_product(null_class,y) = sP0_iProver_def,
definition ).
cnf(c_3030,negated_conjecture,
sP0_iProver_def != null_class,
inference(demodulation,[status(thm)],[c_49,c_3029]) ).
cnf(c_3031,plain,
X0 = X0,
theory(equality) ).
cnf(c_3033,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_4244,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4245,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_4250,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4245]) ).
cnf(c_4377,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4439,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4377]) ).
cnf(c_4531,plain,
( ~ member(ordered_pair(X0,X1),sP0_iProver_def)
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_3029,c_84]) ).
cnf(c_4766,plain,
( sP0_iProver_def = null_class
| member(regular(sP0_iProver_def),sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_4950,plain,
( null_class != X0
| sP0_iProver_def != X0
| sP0_iProver_def = null_class ),
inference(instantiation,[status(thm)],[c_3033]) ).
cnf(c_5134,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4439,c_4244]) ).
cnf(c_5176,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_5134,c_71]) ).
cnf(c_5193,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_136,c_5176]) ).
cnf(c_5196,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_5193]) ).
cnf(c_5203,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_5193,c_4250,c_5196]) ).
cnf(c_5206,plain,
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(demodulation,[status(thm)],[c_5176,c_5203]) ).
cnf(c_5220,plain,
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_5203,c_94]) ).
cnf(c_5233,plain,
~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_5206,c_4377,c_5206,c_5220]) ).
cnf(c_5236,plain,
~ member(ordered_pair(X0,X1),sP0_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_4531,c_5233]) ).
cnf(c_5947,plain,
( ordered_pair(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1)))) = regular(cross_product(X0,X1))
| cross_product(X0,X1) = null_class ),
inference(superposition,[status(thm)],[c_136,c_87]) ).
cnf(c_9850,plain,
( null_class != sP0_iProver_def
| sP0_iProver_def != sP0_iProver_def
| sP0_iProver_def = null_class ),
inference(instantiation,[status(thm)],[c_4950]) ).
cnf(c_9851,plain,
sP0_iProver_def = sP0_iProver_def,
inference(instantiation,[status(thm)],[c_3031]) ).
cnf(c_26440,plain,
( ~ member(regular(cross_product(X0,X1)),sP0_iProver_def)
| cross_product(X0,X1) = null_class ),
inference(superposition,[status(thm)],[c_5947,c_5236]) ).
cnf(c_42300,plain,
( ~ member(regular(sP0_iProver_def),sP0_iProver_def)
| cross_product(null_class,y) = null_class ),
inference(superposition,[status(thm)],[c_3029,c_26440]) ).
cnf(c_42301,plain,
( ~ member(regular(sP0_iProver_def),sP0_iProver_def)
| null_class = sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_42300,c_3029]) ).
cnf(c_42304,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_42301,c_9851,c_9850,c_4766,c_3030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET206-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n027.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 14:30:39 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
% 17.95/3.20 % SZS status Started for theBenchmark.p
% 17.95/3.20 % SZS status Unsatisfiable for theBenchmark.p
% 17.95/3.20
% 17.95/3.20 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.95/3.20
% 17.95/3.20 ------ iProver source info
% 17.95/3.20
% 17.95/3.20 git: date: 2024-06-12 09:56:46 +0000
% 17.95/3.20 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 17.95/3.20 git: non_committed_changes: false
% 17.95/3.20
% 17.95/3.20 ------ Parsing...successful
% 17.95/3.20
% 17.95/3.20
% 17.95/3.20
% 17.95/3.20 ------ 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
% 17.95/3.20
% 17.95/3.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.95/3.20
% 17.95/3.20 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.95/3.20 ------ Proving...
% 17.95/3.20 ------ Problem Properties
% 17.95/3.20
% 17.95/3.20
% 17.95/3.20 clauses 102
% 17.95/3.20 conjectures 1
% 17.95/3.20 EPR 13
% 17.95/3.20 Horn 94
% 17.95/3.20 unary 41
% 17.95/3.20 binary 40
% 17.95/3.20 lits 190
% 17.95/3.20 lits eq 46
% 17.95/3.20 fd_pure 0
% 17.95/3.20 fd_pseudo 0
% 17.95/3.20 fd_cond 3
% 17.95/3.20 fd_pseudo_cond 7
% 17.95/3.20 AC symbols 0
% 17.95/3.20
% 17.95/3.20 ------ Schedule dynamic 5 is on
% 17.95/3.20
% 17.95/3.20 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.95/3.20
% 17.95/3.20
% 17.95/3.20 ------
% 17.95/3.20 Current options:
% 17.95/3.20 ------
% 17.95/3.20
% 17.95/3.20
% 17.95/3.20
% 17.95/3.20
% 17.95/3.20 ------ Proving...
% 17.95/3.20
% 17.95/3.20
% 17.95/3.20 % SZS status Unsatisfiable for theBenchmark.p
% 17.95/3.20
% 17.95/3.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.95/3.20
% 17.95/3.20
%------------------------------------------------------------------------------