TSTP Solution File: SET615+3 by SATCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET615+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 05:02:33 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_difference_distributes_over_union)]) ).
cnf(g1,plain,
( ~ sPE(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4))
| sPE(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
( ~ subset(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4))
| ~ subset(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4)))
| sPE(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_defn)]) ).
cnf(g3,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(difference(sK2,sK4),difference(sK3,sK4)))
| subset(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn)]) ).
cnf(g4,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(union(sK2,sK3),sK4))
| subset(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn)]) ).
cnf(g5,plain,
( member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(union(sK2,sK3),sK4))
| subset(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn)]) ).
cnf(g6,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),union(difference(sK2,sK4),difference(sK3,sK4)))
| subset(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn)]) ).
cnf(g7,plain,
sPE(union(difference(sK2,sK4),difference(sK3,sK4)),union(difference(sK3,sK4),difference(sK2,sK4))),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_union)]) ).
cnf(g8,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(sK3,sK4))
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),union(difference(sK2,sK4),difference(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g9,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(sK2,sK4))
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),union(difference(sK2,sK4),difference(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g10,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(union(sK2,sK3),sK4))
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),union(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g11,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK4)
| ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(union(sK2,sK3),sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g12,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(difference(sK2,sK4),difference(sK3,sK4)))
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK2,sK4))
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g13,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(sK2,sK3))
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK4)
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(union(sK2,sK3),sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g14,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK3)
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK4)
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g15,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK2)
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g16,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK3)
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g17,plain,
( ~ sPE(union(difference(sK2,sK4),difference(sK3,sK4)),union(difference(sK3,sK4),difference(sK2,sK4)))
| ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(difference(sK2,sK4),difference(sK3,sK4)))
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(difference(sK3,sK4),difference(sK2,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g18,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),union(difference(sK3,sK4),difference(sK2,sK4)))
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK3,sK4))
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK2,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g19,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK2)
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK4)
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),difference(sK2,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g20,plain,
( ~ member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),union(sK2,sK3))
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK2)
| member(sK0(difference(union(sK2,sK3),sK4),union(difference(sK2,sK4),difference(sK3,sK4))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g21,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK3,sK4))
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g22,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK4)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g23,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK2,sK4))
| member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g24,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),sK4)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK3,sK4)),difference(union(sK2,sK3),sK4)),difference(sK2,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET615+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n020.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 : Mon Jul 11 07:47:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.38 % symbols: 12
% 0.12/0.38 % clauses: 31
% 0.12/0.38 % start clauses: 1
% 0.12/0.38 % iterative deepening steps: 215
% 0.12/0.38 % maximum path limit: 4
% 0.12/0.38 % literal attempts: 27240
% 0.12/0.38 % depth failures: 19872
% 0.12/0.38 % regularity failures: 1756
% 0.12/0.38 % tautology failures: 792
% 0.12/0.38 % reductions: 413
% 0.12/0.38 % extensions: 26739
% 0.12/0.38 % SAT variables: 5535
% 0.12/0.38 % SAT clauses: 8816
% 0.12/0.38 % WalkSAT solutions: 8810
% 0.12/0.38 % CDCL solutions: 1
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------