TSTP Solution File: SEU011+1 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SEU011+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 14:11:15 EDT 2022
% Result : Theorem 3.82s 0.90s
% Output : Proof 3.82s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(relation_composition(identity_relation(sK12),identity_relation(sK11)),identity_relation(set_intersection2(sK11,sK12))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_funct_1)]) ).
cnf(g1,plain,
( ~ sPE(relation_dom(relation_composition(identity_relation(sK12),identity_relation(sK11))),set_intersection2(sK11,sK12))
| ~ function(relation_composition(identity_relation(sK12),identity_relation(sK11)))
| ~ relation(relation_composition(identity_relation(sK12),identity_relation(sK11)))
| sPE(relation_composition(identity_relation(sK12),identity_relation(sK11)),identity_relation(set_intersection2(sK11,sK12)))
| in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),set_intersection2(sK11,sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g2,plain,
( ~ sPE(relation_dom(relation_composition(identity_relation(sK12),identity_relation(sK11))),set_intersection2(sK11,sK12))
| ~ sPE(apply(relation_composition(identity_relation(sK12),identity_relation(sK11)),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))))
| ~ function(relation_composition(identity_relation(sK12),identity_relation(sK11)))
| ~ relation(relation_composition(identity_relation(sK12),identity_relation(sK11)))
| sPE(relation_composition(identity_relation(sK12),identity_relation(sK11)),identity_relation(set_intersection2(sK11,sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g3,plain,
( ~ function(identity_relation(sK12))
| ~ function(identity_relation(sK11))
| ~ relation(identity_relation(sK12))
| ~ relation(identity_relation(sK11))
| relation(relation_composition(identity_relation(sK12),identity_relation(sK11))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1)]) ).
cnf(g4,plain,
( ~ function(identity_relation(sK12))
| ~ function(identity_relation(sK11))
| ~ relation(identity_relation(sK12))
| ~ relation(identity_relation(sK11))
| function(relation_composition(identity_relation(sK12),identity_relation(sK11))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1)]) ).
cnf(g5,plain,
relation(identity_relation(sK11)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1)]) ).
cnf(g6,plain,
function(identity_relation(sK12)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1)]) ).
cnf(g7,plain,
relation(identity_relation(sK12)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1)]) ).
cnf(g8,plain,
function(identity_relation(sK11)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_funct_1)]) ).
cnf(g9,plain,
( ~ function(identity_relation(sK11))
| ~ relation(identity_relation(sK11))
| sPE(relation_dom(relation_composition(identity_relation(sK12),identity_relation(sK11))),set_intersection2(relation_dom(identity_relation(sK11)),sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_funct_1)]) ).
cnf(g10,plain,
( ~ sPE(relation_dom(relation_composition(identity_relation(sK12),identity_relation(sK11))),set_intersection2(relation_dom(identity_relation(sK11)),sK12))
| ~ sPE(set_intersection2(relation_dom(identity_relation(sK11)),sK12),set_intersection2(sK11,sK12))
| sPE(relation_dom(relation_composition(identity_relation(sK12),identity_relation(sK11))),set_intersection2(sK11,sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ sPE(relation_dom(identity_relation(sK11)),sK11)
| ~ sPE(sK12,sK12)
| sPE(set_intersection2(relation_dom(identity_relation(sK11)),sK12),set_intersection2(sK11,sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
sPE(set_intersection2(sK11,sK12),set_intersection2(sK11,sK12)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
sPE(set_intersection2(sK11,sK11),sK11),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0)]) ).
cnf(g14,plain,
sPE(sK12,sK12),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( ~ sPE(relation_dom(identity_relation(sK11)),sK11)
| ~ sPE(sK11,set_intersection2(sK11,sK11))
| sPE(relation_dom(identity_relation(sK11)),set_intersection2(sK11,sK11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(set_intersection2(sK11,sK12),set_intersection2(sK11,sK12))
| ~ in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),set_intersection2(sK11,sK12))
| in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),sK11) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g17,plain,
( ~ sPE(identity_relation(sK11),identity_relation(sK11))
| ~ in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),sK11)
| ~ function(identity_relation(sK11))
| ~ relation(identity_relation(sK11))
| sPE(apply(identity_relation(sK11),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g18,plain,
sPE(identity_relation(sK12),identity_relation(sK12)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
sPE(identity_relation(sK11),identity_relation(sK11)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(identity_relation(sK11),identity_relation(sK11))
| ~ function(identity_relation(sK11))
| ~ relation(identity_relation(sK11))
| sPE(relation_dom(identity_relation(sK11)),sK11) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g21,plain,
( ~ sPE(set_intersection2(sK11,sK11),sK11)
| sPE(sK11,set_intersection2(sK11,sK11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ sPE(relation_dom(relation_composition(identity_relation(sK12),identity_relation(sK11))),set_intersection2(relation_dom(identity_relation(sK11)),sK12))
| ~ in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),relation_dom(identity_relation(sK11)))
| ~ in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),sK12)
| in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),relation_dom(relation_composition(identity_relation(sK12),identity_relation(sK11)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g23,plain,
( ~ sPE(relation_dom(identity_relation(sK11)),set_intersection2(sK11,sK11))
| ~ in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),sK11)
| ~ in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),sK11)
| in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),relation_dom(identity_relation(sK11))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g24,plain,
( ~ in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),relation_dom(relation_composition(identity_relation(sK12),identity_relation(sK11))))
| ~ function(identity_relation(sK11))
| ~ function(identity_relation(sK12))
| ~ relation(identity_relation(sK11))
| ~ relation(identity_relation(sK12))
| sPE(apply(relation_composition(identity_relation(sK12),identity_relation(sK11)),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))),apply(identity_relation(sK11),apply(identity_relation(sK12),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_funct_1)]) ).
cnf(g25,plain,
( ~ sPE(set_intersection2(sK11,sK12),set_intersection2(sK11,sK12))
| ~ in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),set_intersection2(sK11,sK12))
| in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0)]) ).
cnf(g26,plain,
( ~ sPE(identity_relation(sK12),identity_relation(sK12))
| ~ in(sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))),sK12)
| ~ function(identity_relation(sK12))
| ~ relation(identity_relation(sK12))
| sPE(apply(identity_relation(sK12),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g27,plain,
( ~ sPE(apply(relation_composition(identity_relation(sK12),identity_relation(sK11)),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))),apply(identity_relation(sK11),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))))
| ~ sPE(apply(identity_relation(sK11),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))))
| sPE(apply(relation_composition(identity_relation(sK12),identity_relation(sK11)),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(apply(relation_composition(identity_relation(sK12),identity_relation(sK11)),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))),apply(identity_relation(sK11),apply(identity_relation(sK12),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))))))
| ~ sPE(apply(identity_relation(sK11),apply(identity_relation(sK12),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))))),apply(identity_relation(sK11),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))))
| sPE(apply(relation_composition(identity_relation(sK12),identity_relation(sK11)),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))),apply(identity_relation(sK11),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(identity_relation(sK11),identity_relation(sK11))
| ~ sPE(apply(identity_relation(sK12),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11)))),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))))
| sPE(apply(identity_relation(sK11),apply(identity_relation(sK12),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))))),apply(identity_relation(sK11),sK10(set_intersection2(sK11,sK12),relation_composition(identity_relation(sK12),identity_relation(sK11))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU011+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n005.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 Jun 19 22:39:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.82/0.90 % symbols: 31
% 3.82/0.90 % clauses: 92
% 3.82/0.90 % start clauses: 1
% 3.82/0.90 % iterative deepening steps: 733
% 3.82/0.90 % maximum path limit: 5
% 3.82/0.90 % literal attempts: 474738
% 3.82/0.90 % depth failures: 368872
% 3.82/0.90 % regularity failures: 19527
% 3.82/0.90 % tautology failures: 6634
% 3.82/0.90 % reductions: 7955
% 3.82/0.90 % extensions: 466635
% 3.82/0.90 % SAT variables: 143628
% 3.82/0.90 % SAT clauses: 155892
% 3.82/0.90 % WalkSAT solutions: 155882
% 3.82/0.90 % CDCL solutions: 6
% 3.82/0.90 % SZS status Theorem for theBenchmark
% 3.82/0.90 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------