TSTP Solution File: SET245-6 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET245-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.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 : Fri May 3 03:00:22 EDT 2024
% Result : Unsatisfiable 3.72s 1.14s
% Output : CNFRefutation 3.72s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
restrict(null_class,x,y) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_with_null_class1_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_77,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_91,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_94,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_98,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(c_136,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_3029,plain,
restrict(null_class,x,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_4242,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_72,c_94]) ).
cnf(c_4243,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_136,c_94]) ).
cnf(c_4248,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4243]) ).
cnf(c_4396,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_74,c_71]) ).
cnf(c_4458,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_4396]) ).
cnf(c_4696,plain,
( ~ member(X0,restrict(X1,X2,X3))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_91]) ).
cnf(c_4795,plain,
( ~ member(X0,sP0_iProver_def)
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_3029,c_4696]) ).
cnf(c_4815,plain,
( member(not_subclass_element(sP0_iProver_def,X0),null_class)
| subclass(sP0_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_72,c_4795]) ).
cnf(c_4824,plain,
( ~ subclass(null_class,sP0_iProver_def)
| ~ subclass(sP0_iProver_def,null_class)
| sP0_iProver_def = null_class ),
inference(instantiation,[status(thm)],[c_77]) ).
cnf(c_4829,plain,
subclass(sP0_iProver_def,null_class),
inference(superposition,[status(thm)],[c_4815,c_73]) ).
cnf(c_4900,plain,
( ~ subclass(null_class,sP0_iProver_def)
| null_class = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_4829,c_77]) ).
cnf(c_5010,plain,
~ subclass(null_class,sP0_iProver_def),
inference(global_subsumption_just,[status(thm)],[c_4900,c_3030,c_4824,c_4829]) ).
cnf(c_5216,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4458,c_4242]) ).
cnf(c_5266,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_5216,c_71]) ).
cnf(c_5279,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_136,c_5266]) ).
cnf(c_5282,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_5279]) ).
cnf(c_5289,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_5279,c_4248,c_5282]) ).
cnf(c_5293,plain,
subclass(null_class,X0),
inference(demodulation,[status(thm)],[c_5216,c_5289]) ).
cnf(c_5298,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_5010,c_5293]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET245-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 20:07:06 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.72/1.14 % SZS status Started for theBenchmark.p
% 3.72/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.72/1.14
% 3.72/1.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.72/1.14
% 3.72/1.14 ------ iProver source info
% 3.72/1.14
% 3.72/1.14 git: date: 2024-05-02 19:28:25 +0000
% 3.72/1.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.72/1.14 git: non_committed_changes: false
% 3.72/1.14
% 3.72/1.14 ------ Parsing...successful
% 3.72/1.14
% 3.72/1.14
% 3.72/1.14
% 3.72/1.14 ------ 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
% 3.72/1.14
% 3.72/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.72/1.14
% 3.72/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.72/1.14 ------ Proving...
% 3.72/1.14 ------ Problem Properties
% 3.72/1.14
% 3.72/1.14
% 3.72/1.14 clauses 102
% 3.72/1.14 conjectures 1
% 3.72/1.14 EPR 13
% 3.72/1.14 Horn 94
% 3.72/1.14 unary 41
% 3.72/1.14 binary 40
% 3.72/1.14 lits 190
% 3.72/1.14 lits eq 46
% 3.72/1.14 fd_pure 0
% 3.72/1.14 fd_pseudo 0
% 3.72/1.14 fd_cond 3
% 3.72/1.14 fd_pseudo_cond 7
% 3.72/1.14 AC symbols 0
% 3.72/1.14
% 3.72/1.14 ------ Schedule dynamic 5 is on
% 3.72/1.14
% 3.72/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.72/1.14
% 3.72/1.14
% 3.72/1.14 ------
% 3.72/1.14 Current options:
% 3.72/1.14 ------
% 3.72/1.14
% 3.72/1.14
% 3.72/1.14
% 3.72/1.14
% 3.72/1.14 ------ Proving...
% 3.72/1.14
% 3.72/1.14
% 3.72/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.72/1.14
% 3.72/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.72/1.14
% 3.72/1.14
%------------------------------------------------------------------------------