TSTP Solution File: SET287-6 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SET287-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 15:07:28 EDT 2023
% Result : Unsatisfiable 36.57s 5.75s
% Output : CNFRefutation 36.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 39 ( 15 unt; 8 nHn; 24 RR)
% Number of literals : 65 ( 16 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 58 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_property8_1) ).
cnf(c_50,negated_conjecture,
domain_of(intersection(complement(y),x)) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_property8_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_75,plain,
subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c_78,plain,
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c_92,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_93,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c_95,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_99,plain,
intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(c_101,plain,
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain1) ).
cnf(c_137,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_4191,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_92]) ).
cnf(c_4219,plain,
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_73,c_93]) ).
cnf(c_4254,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_95]) ).
cnf(c_4255,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_137,c_95]) ).
cnf(c_4260,plain,
( ~ member(regular(complement(universal_class)),universal_class)
| complement(universal_class) = null_class ),
inference(instantiation,[status(thm)],[c_4255]) ).
cnf(c_4396,plain,
( ~ member(X0,x)
| member(X0,y) ),
inference(superposition,[status(thm)],[c_49,c_72]) ).
cnf(c_4401,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_75,c_72]) ).
cnf(c_4486,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_4401]) ).
cnf(c_5053,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_4486,c_4254]) ).
cnf(c_5091,plain,
( ~ subclass(X0,complement(universal_class))
| complement(universal_class) = X0 ),
inference(superposition,[status(thm)],[c_5053,c_78]) ).
cnf(c_5092,plain,
( ~ member(X0,complement(universal_class))
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_5053,c_72]) ).
cnf(c_5107,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),X0) ),
inference(superposition,[status(thm)],[c_137,c_5092]) ).
cnf(c_5110,plain,
( complement(universal_class) = null_class
| member(regular(complement(universal_class)),universal_class) ),
inference(instantiation,[status(thm)],[c_5107]) ).
cnf(c_5360,plain,
complement(universal_class) = null_class,
inference(global_subsumption_just,[status(thm)],[c_5107,c_4260,c_5110]) ).
cnf(c_5362,plain,
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(demodulation,[status(thm)],[c_5091,c_5360]) ).
cnf(c_6756,plain,
subclass(intersection(X0,X1),X0),
inference(superposition,[status(thm)],[c_4191,c_74]) ).
cnf(c_6762,plain,
( ~ member(not_subclass_element(intersection(complement(X0),X1),X2),X0)
| subclass(intersection(complement(X0),X1),X2) ),
inference(superposition,[status(thm)],[c_4191,c_95]) ).
cnf(c_7255,plain,
subclass(restrict(X0,X1,X2),X0),
inference(superposition,[status(thm)],[c_99,c_6756]) ).
cnf(c_7347,plain,
restrict(null_class,X0,X1) = null_class,
inference(superposition,[status(thm)],[c_7255,c_5362]) ).
cnf(c_8392,plain,
~ member(X0,domain_of(null_class)),
inference(superposition,[status(thm)],[c_7347,c_101]) ).
cnf(c_8433,plain,
domain_of(null_class) = null_class,
inference(superposition,[status(thm)],[c_137,c_8392]) ).
cnf(c_14342,plain,
( member(not_subclass_element(intersection(X0,x),X1),y)
| subclass(intersection(X0,x),X1) ),
inference(superposition,[status(thm)],[c_4219,c_4396]) ).
cnf(c_128908,plain,
subclass(intersection(complement(y),x),X0),
inference(superposition,[status(thm)],[c_14342,c_6762]) ).
cnf(c_130687,plain,
intersection(complement(y),x) = null_class,
inference(superposition,[status(thm)],[c_128908,c_5362]) ).
cnf(c_130742,plain,
domain_of(null_class) != null_class,
inference(demodulation,[status(thm)],[c_50,c_130687]) ).
cnf(c_130743,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_130742,c_8433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET287-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 11:40:09 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 36.57/5.75 % SZS status Started for theBenchmark.p
% 36.57/5.75 % SZS status Unsatisfiable for theBenchmark.p
% 36.57/5.75
% 36.57/5.75 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 36.57/5.75
% 36.57/5.75 ------ iProver source info
% 36.57/5.75
% 36.57/5.75 git: date: 2023-05-31 18:12:56 +0000
% 36.57/5.75 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 36.57/5.75 git: non_committed_changes: false
% 36.57/5.75 git: last_make_outside_of_git: false
% 36.57/5.75
% 36.57/5.75 ------ Parsing...successful
% 36.57/5.75
% 36.57/5.75
% 36.57/5.75
% 36.57/5.75 ------ 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
% 36.57/5.75
% 36.57/5.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 36.57/5.75
% 36.57/5.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 36.57/5.75 ------ Proving...
% 36.57/5.75 ------ Problem Properties
% 36.57/5.75
% 36.57/5.75
% 36.57/5.75 clauses 102
% 36.57/5.75 conjectures 2
% 36.57/5.75 EPR 13
% 36.57/5.75 Horn 94
% 36.57/5.75 unary 41
% 36.57/5.75 binary 40
% 36.57/5.75 lits 190
% 36.57/5.75 lits eq 45
% 36.57/5.75 fd_pure 0
% 36.57/5.75 fd_pseudo 0
% 36.57/5.75 fd_cond 3
% 36.57/5.75 fd_pseudo_cond 7
% 36.57/5.75 AC symbols 0
% 36.57/5.75
% 36.57/5.75 ------ Schedule dynamic 5 is on
% 36.57/5.75
% 36.57/5.75 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 36.57/5.75
% 36.57/5.75
% 36.57/5.75 ------
% 36.57/5.75 Current options:
% 36.57/5.75 ------
% 36.57/5.75
% 36.57/5.75
% 36.57/5.75
% 36.57/5.75
% 36.57/5.75 ------ Proving...
% 36.57/5.75
% 36.57/5.75
% 36.57/5.75 % SZS status Unsatisfiable for theBenchmark.p
% 36.57/5.75
% 36.57/5.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.57/5.75
% 36.57/5.75
%------------------------------------------------------------------------------