TSTP Solution File: SET909+1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET909+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n005.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 05:04:53 EDT 2022
% Result : Theorem 2.77s 0.79s
% Output : Proof 2.77s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
sPE(set_union2(unordered_pair(sK5,sK6),sK7),empty_set),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_zfmisc_1)]) ).
cnf(g1,plain,
( ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),empty_set)
| ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),empty_set)
| sPE(unordered_pair(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),unordered_pair(empty_set,empty_set)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
( ~ sPE(sK7,sK7)
| ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),empty_set)
| sPE(set_union2(sK7,set_union2(unordered_pair(sK5,sK6),sK7)),set_union2(sK7,empty_set)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g3,plain,
( ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),empty_set)
| sPE(empty_set,set_union2(unordered_pair(sK5,sK6),sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
( ~ sPE(sK7,empty_set)
| ~ sPE(empty_set,set_union2(unordered_pair(sK5,sK6),sK7))
| sPE(sK7,set_union2(unordered_pair(sK5,sK6),sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
( ~ sPE(sK7,empty_set)
| sPE(empty_set,sK7) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ in(sK2(sK7,set_union2(unordered_pair(sK5,sK6),sK7),sK7),sK7)
| sPE(sK7,set_union2(sK7,set_union2(unordered_pair(sK5,sK6),sK7)))
| sP1(sK7,set_union2(unordered_pair(sK5,sK6),sK7),sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0)]) ).
cnf(g7,plain,
( sPE(sK7,set_union2(sK7,set_union2(unordered_pair(sK5,sK6),sK7)))
| in(sK2(sK7,set_union2(unordered_pair(sK5,sK6),sK7),sK7),sK7)
| sP1(sK7,set_union2(unordered_pair(sK5,sK6),sK7),sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0)]) ).
cnf(g8,plain,
sPE(set_union2(empty_set,empty_set),empty_set),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0)]) ).
cnf(g9,plain,
( sPE(sK7,empty_set)
| in(sK0(sK7),sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0)]) ).
cnf(g10,plain,
( ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),empty_set)
| ~ in(sK0(sK7),set_union2(unordered_pair(sK5,sK6),sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0)]) ).
cnf(g11,plain,
( ~ sPE(empty_set,sK7)
| ~ sPE(empty_set,sK7)
| sPE(set_union2(empty_set,empty_set),set_union2(sK7,sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(unordered_pair(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),unordered_pair(empty_set,empty_set))
| ~ sPE(unordered_pair(empty_set,empty_set),unordered_pair(sK7,sK7))
| sPE(unordered_pair(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),unordered_pair(sK7,sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
( ~ sPE(empty_set,sK7)
| ~ sPE(empty_set,sK7)
| sPE(unordered_pair(empty_set,empty_set),unordered_pair(sK7,sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),empty_set)
| ~ sPE(empty_set,set_union2(empty_set,empty_set))
| sPE(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(empty_set,empty_set)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ sPE(set_union2(empty_set,empty_set),empty_set)
| sPE(empty_set,set_union2(empty_set,empty_set)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(empty_set,empty_set))
| ~ sPE(set_union2(empty_set,empty_set),set_union2(sK7,sK7))
| sPE(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(sK7,sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(unordered_pair(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),unordered_pair(sK7,sK7))
| ~ in(sK7,unordered_pair(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)))
| sPE(sK7,sK7)
| sPE(sK7,sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski)]) ).
cnf(g18,plain,
sPE(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),empty_set)
| ~ in(sK2(sK7,set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),set_union2(unordered_pair(sK5,sK6),sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0)]) ).
cnf(g20,plain,
sPE(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(sK7,unordered_pair(sK5,sK6))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0)]) ).
cnf(g21,plain,
( in(sK2(sK7,set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),sK7)
| in(sK2(sK7,set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),set_union2(unordered_pair(sK5,sK6),sK7))
| ~ sP1(sK7,set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0)]) ).
cnf(g22,plain,
( ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(sK7,sK7))
| ~ in(sK2(sK7,set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),sK7)
| in(sK2(sK7,set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),set_union2(unordered_pair(sK5,sK6),sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0)]) ).
cnf(g23,plain,
( ~ sPE(sK7,sK7)
| ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7))
| ~ sPE(sK7,set_union2(unordered_pair(sK5,sK6),sK7))
| ~ sP1(sK7,set_union2(unordered_pair(sK5,sK6),sK7),sK7)
| sP1(sK7,set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),empty_set)
| ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(sK7,unordered_pair(sK5,sK6)))
| sPE(unordered_pair(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),unordered_pair(empty_set,set_union2(sK7,unordered_pair(sK5,sK6)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(unordered_pair(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7)),unordered_pair(empty_set,set_union2(sK7,unordered_pair(sK5,sK6))))
| ~ sPE(sK7,empty_set)
| in(sK7,unordered_pair(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(unordered_pair(sK5,sK6),sK7))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski)]) ).
cnf(g26,plain,
( ~ sPE(set_union2(unordered_pair(sK5,sK6),sK7),set_union2(sK7,unordered_pair(sK5,sK6)))
| ~ in(sK0(sK7),sK7)
| in(sK0(sK7),set_union2(unordered_pair(sK5,sK6),sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0)]) ).
cnf(g27,plain,
( ~ sPE(sK7,set_union2(sK7,set_union2(unordered_pair(sK5,sK6),sK7)))
| ~ sPE(set_union2(sK7,set_union2(unordered_pair(sK5,sK6),sK7)),set_union2(sK7,empty_set))
| sPE(sK7,set_union2(sK7,empty_set)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
sPE(unordered_pair(sK5,sK6),unordered_pair(sK6,sK5)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski)]) ).
cnf(g29,plain,
( ~ sPE(empty_set,set_union2(unordered_pair(sK5,sK6),sK7))
| ~ in(sK5,unordered_pair(sK5,sK6))
| in(sK5,empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0)]) ).
cnf(g30,plain,
( ~ sPE(unordered_pair(sK5,sK6),unordered_pair(sK6,sK5))
| ~ sPE(sK5,sK5)
| in(sK5,unordered_pair(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski)]) ).
cnf(g31,plain,
sPE(sK5,sK5),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(sK7,set_union2(sK7,empty_set))
| ~ in(sK5,empty_set)
| in(sK5,sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0)]) ).
cnf(g33,plain,
( ~ sPE(sK7,empty_set)
| ~ in(sK5,sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET909+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : satcop --statistics %s
% 0.14/0.33 % Computer : n005.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sun Jul 10 16:37:52 EDT 2022
% 0.14/0.33 % CPUTime :
% 2.77/0.79 % symbols: 17
% 2.77/0.79 % clauses: 40
% 2.77/0.79 % start clauses: 1
% 2.77/0.79 % iterative deepening steps: 1092
% 2.77/0.79 % maximum path limit: 4
% 2.77/0.79 % literal attempts: 307367
% 2.77/0.79 % depth failures: 199297
% 2.77/0.79 % regularity failures: 2352
% 2.77/0.79 % tautology failures: 2691
% 2.77/0.79 % reductions: 83139
% 2.77/0.79 % extensions: 224104
% 2.77/0.79 % SAT variables: 109045
% 2.77/0.79 % SAT clauses: 112480
% 2.77/0.79 % WalkSAT solutions: 112466
% 2.77/0.79 % CDCL solutions: 9
% 2.77/0.79 % SZS status Theorem for theBenchmark
% 2.77/0.79 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------