TSTP Solution File: SET984+1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET984+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n015.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 05:05:24 EDT 2022
% Result : Theorem 3.62s 0.83s
% Output : Proof 3.62s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
subset(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1)]) ).
cnf(g1,plain,
~ sPE(cartesian_product2(sK2,sK3),empty_set),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1)]) ).
cnf(g2,plain,
( ~ subset(sK2,sK4)
| ~ subset(sK3,sK5) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t138_zfmisc_1)]) ).
cnf(g3,plain,
( ~ subset(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5))
| sPE(set_intersection2(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5)),cartesian_product2(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1)]) ).
cnf(g4,plain,
( ~ sPE(sK3,empty_set)
| sPE(cartesian_product2(sK2,sK3),empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1)]) ).
cnf(g5,plain,
( ~ sPE(sK2,empty_set)
| sPE(cartesian_product2(sK2,sK3),empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1)]) ).
cnf(g6,plain,
sPE(sK4,sK4),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
sPE(sK5,sK5),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5)))
| ~ sPE(set_intersection2(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5)),cartesian_product2(sK2,sK3))
| sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(sK2,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t123_zfmisc_1)]) ).
cnf(g10,plain,
( ~ sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(sK2,sK3))
| sPE(cartesian_product2(sK2,sK3),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(sK2,sK3))
| sPE(set_intersection2(sK2,sK4),sK2)
| sPE(set_intersection2(sK2,sK4),empty_set)
| sPE(set_intersection2(sK3,sK5),empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t134_zfmisc_1)]) ).
cnf(g12,plain,
( ~ subset(cartesian_product2(sK2,sK3),empty_set)
| sPE(set_intersection2(cartesian_product2(sK2,sK3),empty_set),cartesian_product2(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1)]) ).
cnf(g13,plain,
( ~ sPE(sK3,set_intersection2(sK5,sK3))
| sPE(set_intersection2(sK5,sK3),sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ subset(empty_set,cartesian_product2(sK2,sK3))
| sPE(set_intersection2(empty_set,cartesian_product2(sK2,sK3)),empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1)]) ).
cnf(g15,plain,
subset(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski)]) ).
cnf(g16,plain,
( ~ sPE(set_intersection2(empty_set,cartesian_product2(sK2,sK3)),set_intersection2(cartesian_product2(sK2,sK3),empty_set))
| ~ sPE(set_intersection2(cartesian_product2(sK2,sK3),empty_set),cartesian_product2(sK2,sK3))
| sPE(set_intersection2(empty_set,cartesian_product2(sK2,sK3)),cartesian_product2(sK2,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
sPE(set_intersection2(empty_set,cartesian_product2(sK2,sK3)),set_intersection2(cartesian_product2(sK2,sK3),empty_set)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0)]) ).
cnf(g18,plain,
( ~ sPE(set_intersection2(empty_set,cartesian_product2(sK2,sK3)),cartesian_product2(sK2,sK3))
| sPE(cartesian_product2(sK2,sK3),set_intersection2(empty_set,cartesian_product2(sK2,sK3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(set_intersection2(sK2,sK4),empty_set)
| sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t113_zfmisc_1)]) ).
cnf(g20,plain,
( ~ subset(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)))
| sPE(set_intersection2(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1)]) ).
cnf(g21,plain,
( ~ sPE(set_intersection2(sK5,sK3),sK3)
| ~ sPE(sK5,sK5)
| ~ subset(set_intersection2(sK5,sK3),sK5)
| subset(sK3,sK5) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
subset(set_intersection2(sK5,sK3),sK5),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1)]) ).
cnf(g23,plain,
( ~ sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)))
| ~ sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5)))
| ~ subset(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)))
| subset(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),empty_set)
| ~ sPE(set_intersection2(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5)),cartesian_product2(sK2,sK3))
| ~ subset(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),set_intersection2(cartesian_product2(sK2,sK3),cartesian_product2(sK4,sK5)))
| subset(empty_set,cartesian_product2(sK2,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ sPE(sK3,set_intersection2(sK3,sK5))
| ~ sPE(set_intersection2(sK3,sK5),set_intersection2(sK5,sK3))
| sPE(sK3,set_intersection2(sK5,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g27,plain,
sPE(set_intersection2(sK3,sK5),set_intersection2(sK5,sK3)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0)]) ).
cnf(g28,plain,
subset(set_intersection2(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1)]) ).
cnf(g29,plain,
( ~ sPE(cartesian_product2(sK2,sK3),set_intersection2(empty_set,cartesian_product2(sK2,sK3)))
| ~ sPE(set_intersection2(empty_set,cartesian_product2(sK2,sK3)),empty_set)
| sPE(cartesian_product2(sK2,sK3),empty_set) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(sK3,set_intersection2(sK3,sK5))
| ~ sPE(set_intersection2(sK3,sK5),empty_set)
| sPE(sK3,empty_set) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(set_intersection2(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)))
| ~ sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(sK2,sK3))
| sPE(set_intersection2(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))),cartesian_product2(sK2,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(set_intersection2(sK4,sK2),sK2)
| ~ sPE(sK4,sK4)
| ~ subset(set_intersection2(sK4,sK2),sK4)
| subset(sK2,sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
subset(set_intersection2(sK4,sK2),sK4),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1)]) ).
cnf(g34,plain,
( ~ sPE(set_intersection2(sK4,sK2),set_intersection2(sK2,sK4))
| ~ sPE(set_intersection2(sK2,sK4),sK2)
| sPE(set_intersection2(sK4,sK2),sK2) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
sPE(set_intersection2(sK4,sK2),set_intersection2(sK2,sK4)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0)]) ).
cnf(g36,plain,
( ~ sPE(set_intersection2(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))),cartesian_product2(sK2,sK3))
| ~ sPE(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),empty_set)
| ~ subset(set_intersection2(cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5))),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)))
| subset(cartesian_product2(sK2,sK3),empty_set) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ sPE(cartesian_product2(sK2,sK3),cartesian_product2(set_intersection2(sK2,sK4),set_intersection2(sK3,sK5)))
| sPE(sK2,empty_set)
| sPE(sK3,set_intersection2(sK3,sK5))
| sPE(sK3,empty_set) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t134_zfmisc_1)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET984+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n015.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 : 600
% 0.13/0.34 % DateTime : Sun Jul 10 06:47:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.62/0.83 % symbols: 13
% 3.62/0.83 % clauses: 24
% 3.62/0.83 % start clauses: 3
% 3.62/0.83 % iterative deepening steps: 1294
% 3.62/0.83 % maximum path limit: 5
% 3.62/0.83 % literal attempts: 632774
% 3.62/0.83 % depth failures: 432237
% 3.62/0.83 % regularity failures: 49363
% 3.62/0.83 % tautology failures: 51371
% 3.62/0.83 % reductions: 30131
% 3.62/0.83 % extensions: 601196
% 3.62/0.83 % SAT variables: 87461
% 3.62/0.83 % SAT clauses: 133232
% 3.62/0.83 % WalkSAT solutions: 133223
% 3.62/0.83 % CDCL solutions: 9
% 3.62/0.83 % SZS status Theorem for theBenchmark
% 3.62/0.83 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------