TSTP Solution File: SET143+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET143+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n006.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 04:59:24 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_intersection)]) ).
cnf(g1,plain,
( sPE(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4)))
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(intersection(sK2,sK3),sK4))
| sP0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g2,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,intersection(sK3,sK4)))
| sPE(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4)))
| sP0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g3,plain,
sPE(intersection(intersection(sK3,sK4),sK2),intersection(sK2,intersection(sK3,sK4))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection)]) ).
cnf(g4,plain,
( member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,intersection(sK3,sK4)))
| ~ sP0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g5,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(intersection(sK2,sK3),sK4))
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g6,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(intersection(sK2,sK3),sK4))
| ~ sP0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g7,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(intersection(sK2,sK3),sK4))
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g8,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK3)
| ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK4)
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g9,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK3,sK4))
| ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK2)
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(intersection(sK3,sK4),sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g10,plain,
( ~ sPE(intersection(intersection(sK3,sK4),sK2),intersection(sK2,intersection(sK3,sK4)))
| ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(intersection(sK3,sK4),sK2))
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,intersection(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g11,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,sK3))
| ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK4)
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(intersection(sK2,sK3),sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g12,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,intersection(sK3,sK4)))
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g13,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,intersection(sK3,sK4)))
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g14,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,sK3))
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g15,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,sK3))
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g16,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK3,sK4))
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g17,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK3,sK4))
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g18,plain,
( ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK2)
| ~ member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK3)
| member(sK1(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET143+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n006.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
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 02:14:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % symbols: 11
% 0.13/0.38 % clauses: 27
% 0.13/0.38 % start clauses: 1
% 0.13/0.38 % iterative deepening steps: 243
% 0.13/0.38 % maximum path limit: 4
% 0.13/0.38 % literal attempts: 32273
% 0.13/0.38 % depth failures: 22703
% 0.13/0.38 % regularity failures: 2083
% 0.13/0.38 % tautology failures: 646
% 0.13/0.38 % reductions: 807
% 0.13/0.38 % extensions: 31364
% 0.13/0.38 % SAT variables: 4229
% 0.13/0.38 % SAT clauses: 7146
% 0.13/0.38 % WalkSAT solutions: 7141
% 0.13/0.38 % CDCL solutions: 0
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------