TSTP Solution File: SET620+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET620+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n020.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 05:02:36 EDT 2022
% Result : Theorem 7.05s 1.23s
% Output : Proof 7.05s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th96)]) ).
cnf(g1,plain,
( sPE(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3)))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),symmetric_difference(sK2,sK3))
| sP0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g2,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3)))
| sPE(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3)))
| sP0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g3,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(difference(union(sK2,sK3),intersection(sK2,sK3)),sK2))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g4,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(sK2,difference(union(sK2,sK3),intersection(sK2,sK3))))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g5,plain,
( member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3)))
| ~ sP0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g6,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),symmetric_difference(sK2,sK3))
| ~ sP0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g7,plain,
sPE(symmetric_difference(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn)]) ).
cnf(g8,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(sK2,sK3))
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g9,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3)))
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2)
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(difference(union(sK2,sK3),intersection(sK2,sK3)),sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g10,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2)
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3)))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(sK2,difference(union(sK2,sK3),intersection(sK2,sK3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g11,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3)))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g12,plain,
sPE(difference(union(sK2,sK3),intersection(sK2,sK3)),union(difference(sK2,intersection(sK2,sK3)),difference(sK3,intersection(sK2,sK3)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_distributes_over_union)]) ).
cnf(g13,plain,
( ~ sPE(difference(union(sK2,sK3),intersection(sK2,sK3)),union(difference(sK2,intersection(sK2,sK3)),difference(sK3,intersection(sK2,sK3))))
| sPE(union(difference(sK2,intersection(sK2,sK3)),difference(sK3,intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ sPE(symmetric_difference(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2)))
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(difference(sK2,sK3),difference(sK3,sK2)))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),symmetric_difference(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g15,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK3,sK2))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(difference(sK2,sK3),difference(sK3,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g16,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK2,sK3))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(difference(sK2,sK3),difference(sK3,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g17,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2)
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK3)
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g18,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2)
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(sK2,sK3))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK2,intersection(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g19,plain,
sPE(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3)))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2)
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK3)
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g21,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK3,sK2))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g22,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(sK2,sK3))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g23,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(sK2,sK3))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2)
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g24,plain,
( ~ sPE(intersection(sK2,difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(difference(union(sK2,sK3),intersection(sK2,sK3)),sK2))
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(difference(union(sK2,sK3),intersection(sK2,sK3)),sK2))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(sK2,difference(union(sK2,sK3),intersection(sK2,sK3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g25,plain,
sPE(intersection(sK2,difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(difference(union(sK2,sK3),intersection(sK2,sK3)),sK2)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection)]) ).
cnf(g26,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(sK2,difference(union(sK2,sK3),intersection(sK2,sK3))))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g27,plain,
( ~ sPE(union(difference(sK2,intersection(sK2,sK3)),difference(sK3,intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3)))
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(difference(sK2,intersection(sK2,sK3)),difference(sK3,intersection(sK2,sK3))))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(union(sK2,sK3),intersection(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g28,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK2,intersection(sK2,sK3)))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(difference(sK2,intersection(sK2,sK3)),difference(sK3,intersection(sK2,sK3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g29,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK3,intersection(sK2,sK3)))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(difference(sK2,intersection(sK2,sK3)),difference(sK3,intersection(sK2,sK3)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g30,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK3)
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(sK2,sK3))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK3,intersection(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g31,plain,
( ~ sPE(symmetric_difference(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2)))
| sPE(union(difference(sK2,sK3),difference(sK3,sK2)),symmetric_difference(sK2,sK3)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))))
| ~ sPE(symmetric_difference(sK2,sK3),union(difference(sK2,sK3),difference(sK3,sK2)))
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),symmetric_difference(sK2,sK3))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(difference(sK2,sK3),difference(sK3,sK2))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
( ~ sPE(union(difference(sK2,sK3),difference(sK3,sK2)),symmetric_difference(sK2,sK3))
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(difference(sK2,sK3),difference(sK3,sK2)))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),symmetric_difference(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g34,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK3)
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2)
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK3,sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g35,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),intersection(sK2,sK3))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g36,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),union(difference(sK2,sK3),difference(sK3,sK2)))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK2,sK3))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK3,sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g37,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK2,sK3))
| member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g38,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK3)
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g39,plain,
( ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),sK2)
| ~ member(sK0(symmetric_difference(sK2,sK3),difference(union(sK2,sK3),intersection(sK2,sK3))),difference(sK3,sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET620+3 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.14 % Command : satcop --statistics %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.35 % CPULimit : 300
% 0.21/0.35 % WCLimit : 600
% 0.21/0.35 % DateTime : Mon Jul 11 05:53:42 EDT 2022
% 0.21/0.35 % CPUTime :
% 7.05/1.23 % symbols: 13
% 7.05/1.23 % clauses: 41
% 7.05/1.23 % start clauses: 1
% 7.05/1.23 % iterative deepening steps: 1308
% 7.05/1.23 % maximum path limit: 5
% 7.05/1.23 % literal attempts: 740745
% 7.05/1.23 % depth failures: 558695
% 7.05/1.23 % regularity failures: 41200
% 7.05/1.23 % tautology failures: 14409
% 7.05/1.23 % reductions: 34099
% 7.05/1.23 % extensions: 706247
% 7.05/1.23 % SAT variables: 48519
% 7.05/1.23 % SAT clauses: 73088
% 7.05/1.23 % WalkSAT solutions: 72725
% 7.05/1.23 % CDCL solutions: 356
% 7.05/1.23 % SZS status Theorem for theBenchmark
% 7.05/1.23 % SZS output start ListOfCNF for theBenchmark
% See solution above
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