TSTP Solution File: SET069+1 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET069+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n003.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 : 600s
% DateTime : Tue Jul 19 04:58:28 EDT 2022
% Result : Theorem 12.03s 1.86s
% Output : Proof 12.03s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ member(sK8,universal_class),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pair_contains_only_other2)]) ).
cnf(g1,plain,
~ sPE(unordered_pair(sK7,sK8),singleton(sK7)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',pair_contains_only_other2)]) ).
cnf(g2,plain,
( ~ sPE(singleton(sK7),unordered_pair(sK7,sK8))
| sPE(unordered_pair(sK7,sK8),singleton(sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g3,plain,
( ~ subclass(singleton(sK7),unordered_pair(sK7,sK8))
| ~ subclass(unordered_pair(sK7,sK8),singleton(sK7))
| sPE(singleton(sK7),unordered_pair(sK7,sK8)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',extensionality)]) ).
cnf(g4,plain,
( ~ member(sK0(unordered_pair(sK7,sK8),singleton(sK7)),singleton(sK7))
| subclass(unordered_pair(sK7,sK8),singleton(sK7)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).
cnf(g5,plain,
( subclass(unordered_pair(sK7,sK8),singleton(sK7))
| member(sK0(unordered_pair(sK7,sK8),singleton(sK7)),unordered_pair(sK7,sK8)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).
cnf(g6,plain,
( ~ member(sK0(singleton(sK7),unordered_pair(sK7,sK8)),unordered_pair(sK7,sK8))
| subclass(singleton(sK7),unordered_pair(sK7,sK8)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).
cnf(g7,plain,
( subclass(singleton(sK7),unordered_pair(sK7,sK8))
| member(sK0(singleton(sK7),unordered_pair(sK7,sK8)),singleton(sK7)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).
cnf(g8,plain,
sPE(singleton(sK7),unordered_pair(sK7,sK7)),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',singleton_set_defn)]) ).
cnf(g9,plain,
( ~ member(sK8,unordered_pair(sK7,sK8))
| member(sK8,universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).
cnf(g10,plain,
sPE(unordered_pair(sK7,sK8),unordered_pair(sK7,sK8)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ sPE(sK0(singleton(sK7),unordered_pair(sK7,sK8)),sK7)
| ~ member(sK0(singleton(sK7),unordered_pair(sK7,sK8)),universal_class)
| member(sK0(singleton(sK7),unordered_pair(sK7,sK8)),unordered_pair(sK7,sK8)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).
cnf(g12,plain,
subclass(singleton(sK7),universal_class),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',class_elements_are_sets)]) ).
cnf(g13,plain,
( ~ sPE(singleton(sK7),unordered_pair(sK7,sK7))
| sPE(unordered_pair(sK7,sK7),singleton(sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ member(sK0(unordered_pair(sK7,sK8),singleton(sK7)),unordered_pair(sK7,sK8))
| sPE(sK0(unordered_pair(sK7,sK8),singleton(sK7)),sK7)
| sPE(sK0(unordered_pair(sK7,sK8),singleton(sK7)),sK8) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).
cnf(g15,plain,
( ~ member(sK0(unordered_pair(sK7,sK8),singleton(sK7)),unordered_pair(sK7,sK8))
| member(sK0(unordered_pair(sK7,sK8),singleton(sK7)),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).
cnf(g16,plain,
sPE(sK0(singleton(sK7),unordered_pair(sK7,sK8)),sK0(singleton(sK7),unordered_pair(sK7,sK8))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ subclass(singleton(sK7),universal_class)
| ~ member(sK0(singleton(sK7),unordered_pair(sK7,sK8)),singleton(sK7))
| member(sK0(singleton(sK7),unordered_pair(sK7,sK8)),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).
cnf(g18,plain,
( ~ sPE(sK0(singleton(sK7),unordered_pair(sK7,sK8)),sK0(singleton(sK7),unordered_pair(sK7,sK8)))
| ~ sPE(singleton(sK7),unordered_pair(sK7,sK7))
| ~ member(sK0(singleton(sK7),unordered_pair(sK7,sK8)),singleton(sK7))
| member(sK0(singleton(sK7),unordered_pair(sK7,sK8)),unordered_pair(sK7,sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ member(sK0(singleton(sK7),unordered_pair(sK7,sK8)),unordered_pair(sK7,sK7))
| sPE(sK0(singleton(sK7),unordered_pair(sK7,sK8)),sK7)
| sPE(sK0(singleton(sK7),unordered_pair(sK7,sK8)),sK7) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).
cnf(g20,plain,
( ~ sPE(sK0(unordered_pair(sK7,sK8),singleton(sK7)),sK7)
| ~ member(sK0(unordered_pair(sK7,sK8),singleton(sK7)),universal_class)
| member(sK0(unordered_pair(sK7,sK8),singleton(sK7)),unordered_pair(sK7,sK7)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).
cnf(g21,plain,
( ~ sPE(sK0(unordered_pair(sK7,sK8),singleton(sK7)),sK8)
| ~ sPE(unordered_pair(sK7,sK8),unordered_pair(sK7,sK8))
| ~ member(sK0(unordered_pair(sK7,sK8),singleton(sK7)),unordered_pair(sK7,sK8))
| member(sK8,unordered_pair(sK7,sK8)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ subclass(unordered_pair(sK7,sK7),singleton(sK7))
| ~ member(sK0(unordered_pair(sK7,sK8),singleton(sK7)),unordered_pair(sK7,sK7))
| member(sK0(unordered_pair(sK7,sK8),singleton(sK7)),singleton(sK7)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).
cnf(g23,plain,
( ~ sPE(unordered_pair(sK7,sK7),singleton(sK7))
| subclass(unordered_pair(sK7,sK7),singleton(sK7)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',extensionality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET069+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n003.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 : 600
% 0.12/0.33 % DateTime : Sat Jul 9 15:55:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 12.03/1.86 % symbols: 42
% 12.03/1.86 % clauses: 125
% 12.03/1.86 % start clauses: 2
% 12.03/1.86 % iterative deepening steps: 1095
% 12.03/1.86 % maximum path limit: 4
% 12.03/1.86 % literal attempts: 3634216
% 12.03/1.86 % depth failures: 3033582
% 12.03/1.86 % regularity failures: 270190
% 12.03/1.86 % tautology failures: 36474
% 12.03/1.86 % reductions: 43861
% 12.03/1.86 % extensions: 3589129
% 12.03/1.86 % SAT variables: 400944
% 12.03/1.86 % SAT clauses: 485528
% 12.03/1.86 % WalkSAT solutions: 485485
% 12.03/1.86 % CDCL solutions: 37
% 12.03/1.86 % SZS status Theorem for theBenchmark
% 12.03/1.86 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------