TSTP Solution File: SET598+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET598+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n016.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 05:02:19 EDT 2022
% Result : Theorem 0.22s 0.45s
% Output : Proof 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
( sPE(sK2,intersection(sK3,sK4))
| subset(sK2,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th57)]) ).
cnf(g1,plain,
( sPE(sK2,intersection(sK3,sK4))
| subset(sK2,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th57)]) ).
cnf(g2,plain,
( ~ sPE(sK2,intersection(sK3,sK4))
| ~ subset(sK2,sK3)
| ~ subset(sK2,sK4)
| subset(sK5,sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th57)]) ).
cnf(g3,plain,
( ~ sPE(sK2,intersection(sK3,sK4))
| ~ subset(sK2,sK3)
| ~ subset(sK2,sK4)
| subset(sK5,sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th57)]) ).
cnf(g4,plain,
( ~ sPE(sK2,intersection(sK3,sK4))
| ~ subset(sK2,sK3)
| ~ subset(sK2,sK4)
| ~ subset(sK5,sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th57)]) ).
cnf(g5,plain,
( ~ sPE(sK2,intersection(sK3,sK4))
| sPE(intersection(sK3,sK4),sK2) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ subset(sK2,intersection(sK3,sK4))
| ~ subset(intersection(sK3,sK4),sK2)
| sPE(sK2,intersection(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn)]) ).
cnf(g7,plain,
( ~ subset(intersection(sK3,sK4),sK3)
| ~ subset(intersection(sK3,sK4),sK4)
| sPE(sK2,intersection(sK3,sK4))
| subset(intersection(sK3,sK4),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th57)]) ).
cnf(g8,plain,
sPE(sK3,sK3),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE(intersection(sK4,sK3),intersection(sK3,sK4)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_intersection)]) ).
cnf(g10,plain,
subset(intersection(sK3,sK4),sK3),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_is_subset)]) ).
cnf(g11,plain,
sPE(sK4,sK4),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(intersection(sK4,sK3),intersection(sK3,sK4))
| ~ sPE(sK4,sK4)
| ~ subset(intersection(sK4,sK3),sK4)
| subset(intersection(sK3,sK4),sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
subset(intersection(sK4,sK3),sK4),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_is_subset)]) ).
cnf(g14,plain,
( ~ subset(sK2,sK3)
| ~ subset(sK2,sK4)
| subset(sK2,intersection(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_subsets)]) ).
cnf(g15,plain,
sPE(sK5,sK5),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(intersection(sK3,sK4),sK2)
| ~ sPE(sK3,sK3)
| ~ subset(intersection(sK3,sK4),sK3)
| subset(sK2,sK3) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ sPE(intersection(sK3,sK4),sK2)
| ~ sPE(sK4,sK4)
| ~ subset(intersection(sK3,sK4),sK4)
| subset(sK2,sK4) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ subset(sK5,sK3)
| ~ subset(sK5,sK4)
| subset(sK5,intersection(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_subsets)]) ).
cnf(g19,plain,
( ~ sPE(sK5,sK5)
| ~ sPE(intersection(sK3,sK4),sK2)
| ~ subset(sK5,intersection(sK3,sK4))
| subset(sK5,sK2) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SET598+3 : TPTP v8.1.0. Released v2.2.0.
% 0.09/0.15 % Command : satcop --statistics %s
% 0.14/0.37 % Computer : n016.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Mon Jul 11 09:05:42 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.45 % symbols: 12
% 0.22/0.45 % clauses: 34
% 0.22/0.45 % start clauses: 6
% 0.22/0.45 % iterative deepening steps: 158
% 0.22/0.45 % maximum path limit: 3
% 0.22/0.45 % literal attempts: 82558
% 0.22/0.45 % depth failures: 68654
% 0.22/0.45 % regularity failures: 2445
% 0.22/0.45 % tautology failures: 1850
% 0.22/0.45 % reductions: 1142
% 0.22/0.45 % extensions: 80652
% 0.22/0.45 % SAT variables: 5158
% 0.22/0.45 % SAT clauses: 7863
% 0.22/0.45 % WalkSAT solutions: 7855
% 0.22/0.45 % CDCL solutions: 3
% 0.22/0.45 % SZS status Theorem for theBenchmark
% 0.22/0.45 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------