TSTP Solution File: SET188-6 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET188-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 03:00:13 EDT 2024
% Result : Unsatisfiable 8.24s 1.70s
% Output : CNFRefutation 8.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of clauses : 39 ( 9 unt; 8 nHn; 28 RR)
% Number of literals : 77 ( 5 equ; 38 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
intersection(complement(y),x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property6_1) ).
cnf(c_50,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subclass_property6_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_92,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(c_94,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| member(X0,intersection(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection3) ).
cnf(c_95,plain,
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c_96,plain,
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
cnf(c_137,plain,
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c_3826,plain,
( ~ member(X0,null_class)
| member(X0,complement(y)) ),
inference(superposition,[status(thm)],[c_49,c_92]) ).
cnf(c_3926,plain,
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(superposition,[status(thm)],[c_73,c_95]) ).
cnf(c_3927,plain,
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(superposition,[status(thm)],[c_137,c_95]) ).
cnf(c_4230,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_75,c_72]) ).
cnf(c_4453,plain,
( ~ member(X0,null_class)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_3826,c_4230]) ).
cnf(c_5138,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_75,c_72]) ).
cnf(c_5154,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_5138]) ).
cnf(c_5161,plain,
( X0 = null_class
| member(regular(X0),universal_class) ),
inference(superposition,[status(thm)],[c_137,c_5138]) ).
cnf(c_5437,plain,
subclass(complement(universal_class),X0),
inference(superposition,[status(thm)],[c_5154,c_3926]) ).
cnf(c_5454,plain,
complement(universal_class) = null_class,
inference(superposition,[status(thm)],[c_5161,c_3927]) ).
cnf(c_5461,plain,
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_5454,c_95]) ).
cnf(c_5462,plain,
subclass(null_class,X0),
inference(superposition,[status(thm)],[c_5454,c_5437]) ).
cnf(c_5545,plain,
( ~ member(X0,null_class)
| member(X0,X1) ),
inference(superposition,[status(thm)],[c_5462,c_72]) ).
cnf(c_5761,plain,
~ member(X0,null_class),
inference(global_subsumption_just,[status(thm)],[c_5545,c_4453,c_5461]) ).
cnf(c_6875,plain,
( ~ member(X0,complement(y))
| ~ member(X0,x)
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_49,c_94]) ).
cnf(c_7315,plain,
( ~ member(X0,complement(y))
| ~ member(X0,x)
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_49,c_94]) ).
cnf(c_7359,plain,
( ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(global_subsumption_just,[status(thm)],[c_7315,c_5761,c_6875]) ).
cnf(c_7360,plain,
( ~ member(X0,complement(y))
| ~ member(X0,x) ),
inference(renaming,[status(thm)],[c_7359]) ).
cnf(c_11807,plain,
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(superposition,[status(thm)],[c_75,c_72]) ).
cnf(c_11839,plain,
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_11807]) ).
cnf(c_12058,plain,
( ~ member(X0,complement(y))
| ~ member(X0,x)
| member(X0,null_class) ),
inference(superposition,[status(thm)],[c_49,c_94]) ).
cnf(c_12129,plain,
( ~ member(X0,x)
| ~ member(X0,complement(y)) ),
inference(global_subsumption_just,[status(thm)],[c_12058,c_7360]) ).
cnf(c_12130,plain,
( ~ member(X0,complement(y))
| ~ member(X0,x) ),
inference(renaming,[status(thm)],[c_12129]) ).
cnf(c_12132,plain,
( ~ member(X0,x)
| ~ member(X0,universal_class)
| member(X0,y) ),
inference(superposition,[status(thm)],[c_96,c_12130]) ).
cnf(c_12143,plain,
( ~ member(not_subclass_element(X0,X1),x)
| member(not_subclass_element(X0,X1),y)
| subclass(X0,X1) ),
inference(superposition,[status(thm)],[c_11839,c_12132]) ).
cnf(c_12238,plain,
( member(not_subclass_element(x,X0),y)
| subclass(x,X0) ),
inference(superposition,[status(thm)],[c_73,c_12143]) ).
cnf(c_12241,plain,
subclass(x,y),
inference(superposition,[status(thm)],[c_12238,c_74]) ).
cnf(c_12243,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12241,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET188-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 20:55:37 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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
% 8.24/1.70 % SZS status Started for theBenchmark.p
% 8.24/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 8.24/1.70
% 8.24/1.70 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.24/1.70
% 8.24/1.70 ------ iProver source info
% 8.24/1.70
% 8.24/1.70 git: date: 2024-05-02 19:28:25 +0000
% 8.24/1.70 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.24/1.70 git: non_committed_changes: false
% 8.24/1.70
% 8.24/1.70 ------ Parsing...successful
% 8.24/1.70
% 8.24/1.70
% 8.24/1.70
% 8.24/1.70 ------ 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
% 8.24/1.70
% 8.24/1.70 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.24/1.70
% 8.24/1.70 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.24/1.70 ------ Proving...
% 8.24/1.70 ------ Problem Properties
% 8.24/1.70
% 8.24/1.70
% 8.24/1.70 clauses 102
% 8.24/1.70 conjectures 2
% 8.24/1.70 EPR 13
% 8.24/1.70 Horn 94
% 8.24/1.70 unary 41
% 8.24/1.70 binary 40
% 8.24/1.70 lits 190
% 8.24/1.70 lits eq 45
% 8.24/1.70 fd_pure 0
% 8.24/1.70 fd_pseudo 0
% 8.24/1.70 fd_cond 3
% 8.24/1.70 fd_pseudo_cond 7
% 8.24/1.70 AC symbols 0
% 8.24/1.70
% 8.24/1.70 ------ Input Options Time Limit: Unbounded
% 8.24/1.70
% 8.24/1.70
% 8.24/1.70 ------
% 8.24/1.70 Current options:
% 8.24/1.70 ------
% 8.24/1.70
% 8.24/1.70
% 8.24/1.70
% 8.24/1.70
% 8.24/1.70 ------ Proving...
% 8.24/1.70
% 8.24/1.70
% 8.24/1.70 % SZS status Unsatisfiable for theBenchmark.p
% 8.24/1.70
% 8.24/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.24/1.70
% 8.24/1.70
%------------------------------------------------------------------------------