TSTP Solution File: SET969+1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET969+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n007.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 05:05:18 EDT 2022
% Result : Theorem 18.67s 2.70s
% Output : Proof 18.67s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( ~ sPE(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)))
| ~ sPE(cartesian_product2(sK7,set_intersection2(sK5,sK6)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t122_zfmisc_1)]) ).
cnf(g1,plain,
subset(set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),cartesian_product2(sK7,sK5)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1)]) ).
cnf(g2,plain,
( ~ subset(cartesian_product2(sK7,set_intersection2(sK5,sK6)),cartesian_product2(sK7,set_intersection2(sK5,sK6)))
| ~ subset(set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),cartesian_product2(sK7,sK5))
| sPE(cartesian_product2(sK7,set_intersection2(sK5,sK6)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)))
| in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,set_intersection2(sK5,sK6)))
| in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_zfmisc_1)]) ).
cnf(g3,plain,
subset(cartesian_product2(sK7,set_intersection2(sK5,sK6)),cartesian_product2(sK7,set_intersection2(sK5,sK6))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski)]) ).
cnf(g4,plain,
subset(set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),cartesian_product2(sK5,sK7)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1)]) ).
cnf(g5,plain,
( ~ subset(cartesian_product2(set_intersection2(sK5,sK6),sK7),cartesian_product2(set_intersection2(sK5,sK6),sK7))
| ~ subset(set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),cartesian_product2(sK5,sK7))
| sPE(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)))
| in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(set_intersection2(sK5,sK6),sK7))
| in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_zfmisc_1)]) ).
cnf(g6,plain,
subset(cartesian_product2(set_intersection2(sK5,sK6),sK7),cartesian_product2(set_intersection2(sK5,sK6),sK7)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski)]) ).
cnf(g7,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(set_intersection2(sK5,sK6),sK7))
| ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)))
| ~ subset(cartesian_product2(set_intersection2(sK5,sK6),sK7),cartesian_product2(set_intersection2(sK5,sK6),sK7))
| ~ subset(set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),cartesian_product2(sK5,sK7))
| sPE(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_zfmisc_1)]) ).
cnf(g8,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(set_intersection2(sK5,sK6),sK7))
| in(sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g9,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(set_intersection2(sK5,sK6),sK7))
| in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),set_intersection2(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g10,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,set_intersection2(sK5,sK6)))
| ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)))
| ~ subset(cartesian_product2(sK7,set_intersection2(sK5,sK6)),cartesian_product2(sK7,set_intersection2(sK5,sK6)))
| ~ subset(set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),cartesian_product2(sK7,sK5))
| sPE(cartesian_product2(sK7,set_intersection2(sK5,sK6)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t110_zfmisc_1)]) ).
cnf(g11,plain,
sPE(set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),set_intersection2(cartesian_product2(sK6,sK7),cartesian_product2(sK5,sK7))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0)]) ).
cnf(g12,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK5,sK7))
| in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK5) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g13,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,set_intersection2(sK5,sK6)))
| in(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g14,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,set_intersection2(sK5,sK6)))
| in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),set_intersection2(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g15,plain,
sPE(set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ in(ordered_pair(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(set_intersection2(sK5,sK6),sK7))
| in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,set_intersection2(sK5,sK6))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t107_zfmisc_1)]) ).
cnf(g17,plain,
sPE(set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ in(ordered_pair(sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK7,set_intersection2(sK5,sK6)))
| in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(set_intersection2(sK5,sK6),sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t107_zfmisc_1)]) ).
cnf(g19,plain,
sPE(set_intersection2(sK5,sK6),set_intersection2(sK5,sK6)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ in(sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK7)
| ~ in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),set_intersection2(sK5,sK6))
| in(ordered_pair(sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK7,set_intersection2(sK5,sK6))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g21,plain,
sPE(set_intersection2(sK5,sK6),set_intersection2(sK6,sK5)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0)]) ).
cnf(g22,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK6,sK7))
| in(sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g23,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK6,sK7))
| in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK6) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g24,plain,
( ~ sPE(set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)))
| ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)))
| in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK5,sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g25,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,sK5))
| in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK5) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g26,plain,
( ~ sPE(set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)))
| ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)))
| in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,sK5)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g27,plain,
( ~ sPE(set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)))
| ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)))
| in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g28,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,sK6))
| in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK6) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g29,plain,
( ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,sK6))
| in(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK7) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g30,plain,
( ~ sPE(set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)))
| ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,sK5))
| ~ in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,sK6))
| in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g31,plain,
( ~ in(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK7)
| ~ in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK5)
| in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,sK5)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g32,plain,
( ~ in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),set_intersection2(sK5,sK6))
| ~ in(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK7)
| in(ordered_pair(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(set_intersection2(sK5,sK6),sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g33,plain,
( ~ in(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK7)
| ~ in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK6)
| in(ordered_pair(sK3(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5)),cartesian_product2(sK7,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g34,plain,
( ~ sPE(set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),set_intersection2(cartesian_product2(sK6,sK7),cartesian_product2(sK5,sK7)))
| ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)))
| in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK6,sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g35,plain,
( ~ in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK6)
| ~ in(sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK7)
| in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK6,sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g36,plain,
( ~ sPE(set_intersection2(sK5,sK6),set_intersection2(sK5,sK6))
| ~ in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK5)
| ~ in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK6)
| in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),set_intersection2(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g37,plain,
( ~ sPE(set_intersection2(sK5,sK6),set_intersection2(sK5,sK6))
| ~ in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),set_intersection2(sK5,sK6))
| in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK6) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g38,plain,
( ~ sPE(set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)))
| ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK5,sK7))
| ~ in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK6,sK7))
| in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g39,plain,
( ~ in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK5)
| ~ in(sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK7)
| in(ordered_pair(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK4(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7)),cartesian_product2(sK5,sK7)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1)]) ).
cnf(g40,plain,
( ~ sPE(set_intersection2(sK5,sK6),set_intersection2(sK5,sK6))
| ~ in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),set_intersection2(sK5,sK6))
| in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK6) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g41,plain,
( ~ sPE(set_intersection2(sK5,sK6),set_intersection2(sK6,sK5))
| ~ in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),set_intersection2(sK5,sK6))
| in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK5) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g42,plain,
( ~ sPE(set_intersection2(sK5,sK6),set_intersection2(sK5,sK6))
| ~ in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK5)
| ~ in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),sK6)
| in(sK4(cartesian_product2(sK7,set_intersection2(sK5,sK6)),sK7,set_intersection2(sK5,sK6),set_intersection2(cartesian_product2(sK7,sK5),cartesian_product2(sK7,sK6)),sK7,sK5),set_intersection2(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g43,plain,
( ~ sPE(set_intersection2(sK5,sK6),set_intersection2(sK5,sK6))
| ~ in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),set_intersection2(sK5,sK6))
| in(sK3(cartesian_product2(set_intersection2(sK5,sK6),sK7),set_intersection2(sK5,sK6),sK7,set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK7)),sK5,sK7),sK5) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET969+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n007.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 : Sun Jul 10 09:52:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 18.67/2.70 % symbols: 19
% 18.67/2.70 % clauses: 40
% 18.67/2.70 % start clauses: 1
% 18.67/2.70 % iterative deepening steps: 1968
% 18.67/2.70 % maximum path limit: 6
% 18.67/2.70 % literal attempts: 865469
% 18.67/2.70 % depth failures: 620105
% 18.67/2.70 % regularity failures: 26475
% 18.67/2.70 % tautology failures: 18503
% 18.67/2.70 % reductions: 59189
% 18.67/2.70 % extensions: 806050
% 18.67/2.70 % SAT variables: 221094
% 18.67/2.70 % SAT clauses: 320049
% 18.67/2.70 % WalkSAT solutions: 319895
% 18.67/2.70 % CDCL solutions: 149
% 18.67/2.70 % SZS status Theorem for theBenchmark
% 18.67/2.70 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------