TSTP Solution File: SEU216+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SEU216+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n021.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 14:12:46 EDT 2022
% Result : Theorem 4.05s 1.03s
% Output : Proof 4.05s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
relation(sK12),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g1,plain,
function(sK12),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g2,plain,
( sPE(relation_dom(sK12),sK11)
| sPE(sK12,identity_relation(sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g3,plain,
( ~ sPE(relation_dom(sK12),sK11)
| ~ sPE(sK12,identity_relation(sK11))
| in(sK13,sK11) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g4,plain,
( ~ sPE(relation_dom(sK12),sK11)
| ~ sPE(apply(sK12,sK13),sK13)
| ~ sPE(sK12,identity_relation(sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g5,plain,
( ~ empty(relation_dom(sK12))
| ~ relation(sK12)
| empty(sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1)]) ).
cnf(g6,plain,
( ~ in(sK0(sK11,sK12),sK11)
| sPE(apply(sK12,sK0(sK11,sK12)),sK0(sK11,sK12))
| sPE(sK12,identity_relation(sK11)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1)]) ).
cnf(g7,plain,
( ~ sPE(sK0(sK11,sK12),sK1(sK11,sK12))
| ~ in(sK0(sK11,sK12),sK11)
| ~ relation(sK12)
| sPE(sK12,identity_relation(sK11))
| sP0(sK11,sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1)]) ).
cnf(g8,plain,
( ~ relation(sK12)
| sPE(sK12,identity_relation(sK11))
| in(ordered_pair(sK0(sK11,sK12),sK1(sK11,sK12)),sK12)
| sP0(sK11,sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1)]) ).
cnf(g9,plain,
( ~ sPE(sK13,apply(sK12,sK13))
| sPE(apply(sK12,sK13),sK13) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
( ~ sPE(relation_dom(sK12),sK11)
| sPE(identity_relation(relation_dom(sK12)),identity_relation(sK11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ sPE(relation_dom(sK12),sK11)
| sPE(sK11,relation_dom(sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(sK12,identity_relation(sK11))
| sPE(relation_dom(sK12),relation_dom(identity_relation(sK11))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
( ~ sPE(relation_dom(sK12),sK11)
| ~ sPE(sK12,sK12)
| sPE(sK0(relation_dom(sK12),sK12),sK0(sK11,sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( in(sK0(relation_dom(sK12),sK12),relation_dom(sK12))
| ~ sP0(relation_dom(sK12),sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1)]) ).
cnf(g15,plain,
( ~ relation(sK12)
| sPE(sK12,identity_relation(relation_dom(sK12)))
| in(ordered_pair(sK0(relation_dom(sK12),sK12),sK1(relation_dom(sK12),sK12)),sK12)
| sP0(relation_dom(sK12),sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1)]) ).
cnf(g16,plain,
subset(relation_dom(sK12),relation_dom(sK12)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski)]) ).
cnf(g17,plain,
( ~ in(ordered_pair(sK0(sK11,sK12),sK1(sK11,sK12)),sK12)
| ~ sP0(sK11,sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1)]) ).
cnf(g18,plain,
( sPE(sK0(sK11,sK12),sK1(sK11,sK12))
| ~ sP0(sK11,sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1)]) ).
cnf(g19,plain,
( ~ in(sK13,relation_dom(sK12))
| ~ in(ordered_pair(sK13,sK13),sK12)
| ~ function(sK12)
| ~ relation(sK12)
| sPE(sK13,apply(sK12,sK13)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1)]) ).
cnf(g20,plain,
( ~ sPE(relation_dom(identity_relation(apply(sK12,sK0(relation_dom(sK12),sK12)))),apply(sK12,sK0(relation_dom(sK12),sK12)))
| ~ in(sK0(relation_dom(sK12),sK12),relation_dom(sK12))
| ~ function(sK12)
| ~ relation(sK12)
| in(ordered_pair(sK0(relation_dom(sK12),sK12),relation_dom(identity_relation(apply(sK12,sK0(relation_dom(sK12),sK12))))),sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1)]) ).
cnf(g21,plain,
sPE(relation_dom(identity_relation(apply(sK12,sK0(relation_dom(sK12),sK12)))),apply(sK12,sK0(relation_dom(sK12),sK12))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_relat_1)]) ).
cnf(g22,plain,
( ~ in(sK0(sK11,sK12),relation_dom(sK12))
| ~ in(ordered_pair(sK0(sK11,sK12),sK1(sK11,sK12)),sK12)
| ~ function(sK12)
| ~ relation(sK12)
| sPE(sK1(sK11,sK12),apply(sK12,sK0(sK11,sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1)]) ).
cnf(g23,plain,
( ~ sPE(relation_dom(sK12),relation_dom(identity_relation(sK11)))
| ~ sPE(relation_dom(identity_relation(sK11)),sK11)
| sPE(relation_dom(sK12),sK11) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
sPE(relation_dom(identity_relation(sK11)),sK11),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_relat_1)]) ).
cnf(g25,plain,
( ~ in(ordered_pair(sK0(relation_dom(sK12),sK12),relation_dom(identity_relation(apply(sK12,sK0(relation_dom(sK12),sK12))))),sK12)
| ~ empty(sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole)]) ).
cnf(g26,plain,
( ~ sPE(sK12,identity_relation(sK11))
| ~ sPE(sK13,sK13)
| ~ in(sK13,sK11)
| ~ relation(sK12)
| in(ordered_pair(sK13,sK13),sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_relat_1)]) ).
cnf(g27,plain,
sPE(sK13,sK13),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(sK12,identity_relation(relation_dom(sK12)))
| ~ sPE(identity_relation(relation_dom(sK12)),identity_relation(sK11))
| sPE(sK12,identity_relation(sK11)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
sPE(sK12,sK12),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(sK1(sK11,sK12),sK0(sK11,sK12))
| sPE(sK0(sK11,sK12),sK1(sK11,sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(sK13,sK13)
| ~ sPE(sK11,relation_dom(sK12))
| ~ in(sK13,sK11)
| in(sK13,relation_dom(sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
sPE(powerset(relation_dom(sK12)),powerset(relation_dom(sK12))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ subset(relation_dom(sK12),relation_dom(sK12))
| element(relation_dom(sK12),powerset(relation_dom(sK12))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset)]) ).
cnf(g34,plain,
( ~ sPE(relation_dom(sK12),sK11)
| ~ sPE(powerset(relation_dom(sK12)),powerset(relation_dom(sK12)))
| ~ element(relation_dom(sK12),powerset(relation_dom(sK12)))
| element(sK11,powerset(relation_dom(sK12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g35,plain,
( ~ in(sK0(sK11,sK12),sK11)
| ~ element(sK11,powerset(relation_dom(sK12)))
| element(sK0(sK11,sK12),relation_dom(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset)]) ).
cnf(g36,plain,
( ~ sPE(sK1(sK11,sK12),apply(sK12,sK0(sK11,sK12)))
| ~ in(sK0(sK11,sK12),relation_dom(sK12))
| ~ function(sK12)
| ~ relation(sK12)
| in(ordered_pair(sK0(sK11,sK12),sK1(sK11,sK12)),sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1)]) ).
cnf(g37,plain,
( ~ in(ordered_pair(sK0(relation_dom(sK12),sK12),sK1(relation_dom(sK12),sK12)),sK12)
| ~ function(sK12)
| ~ relation(sK12)
| in(sK0(relation_dom(sK12),sK12),relation_dom(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1)]) ).
cnf(g38,plain,
( ~ in(ordered_pair(sK0(relation_dom(sK12),sK12),sK1(relation_dom(sK12),sK12)),sK12)
| ~ empty(sK12) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole)]) ).
cnf(g39,plain,
( ~ element(sK0(sK11,sK12),relation_dom(sK12))
| in(sK0(sK11,sK12),relation_dom(sK12))
| empty(relation_dom(sK12)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset)]) ).
cnf(g40,plain,
( ~ sPE(sK1(sK11,sK12),apply(sK12,sK0(sK11,sK12)))
| ~ sPE(apply(sK12,sK0(sK11,sK12)),sK0(sK11,sK12))
| sPE(sK1(sK11,sK12),sK0(sK11,sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g41,plain,
( ~ sPE(sK0(relation_dom(sK12),sK12),sK0(sK11,sK12))
| ~ sPE(relation_dom(sK12),sK11)
| ~ in(sK0(relation_dom(sK12),sK12),relation_dom(sK12))
| in(sK0(sK11,sK12),sK11) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
( ~ sPE(apply(sK12,sK0(sK11,sK12)),sK0(sK11,sK12))
| ~ sPE(sK0(sK11,sK12),sK1(sK11,sK12))
| sPE(apply(sK12,sK0(sK11,sK12)),sK1(sK11,sK12)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g43,plain,
( ~ sPE(apply(sK12,sK0(sK11,sK12)),sK1(sK11,sK12))
| sPE(sK1(sK11,sK12),apply(sK12,sK0(sK11,sK12))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU216+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n021.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 17:36:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.05/1.03 % symbols: 33
% 4.05/1.03 % clauses: 96
% 4.05/1.03 % start clauses: 6
% 4.05/1.03 % iterative deepening steps: 598
% 4.05/1.03 % maximum path limit: 3
% 4.05/1.03 % literal attempts: 1088527
% 4.05/1.03 % depth failures: 968849
% 4.05/1.03 % regularity failures: 11474
% 4.05/1.03 % tautology failures: 7769
% 4.05/1.03 % reductions: 16459
% 4.05/1.03 % extensions: 1069713
% 4.05/1.03 % SAT variables: 185644
% 4.05/1.03 % SAT clauses: 194706
% 4.05/1.03 % WalkSAT solutions: 194697
% 4.05/1.03 % CDCL solutions: 8
% 4.05/1.03 % SZS status Theorem for theBenchmark
% 4.05/1.03 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------