%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET787-1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n025.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 : 300s
% DateTime : Fri Jul 25 03:32:40 PM UTC 2025
% Result : Unsatisfiable 27.54s 3.80s
% Output : CNFRefutation 27.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named un_eq_Union_2_c1)
% Comments :
%------------------------------------------------------------------------------
cnf(12,plain,
member(sk2,union(cons(a,cons(b,eptset)))),
inference(cnf,[status(esa)],[un_eq_Union_2_c1]) ).
cnf(l0,plain,
member(sk2,union(cons(a,cons(b,eptset)))),
inference(instantiation,[status(thm)],[12]) ).
cnf(1,plain,
( ~ member(X0,union(X1))
| member(unionE_sk1(X0,X1),X1) ),
inference(cnf,[status(esa)],[clause120]) ).
cnf(l1,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( ~ member(X0,cons(X1,X2))
| member(X0,X2)
| X0 = X1 ),
inference(cnf,[status(esa)],[clause112]) ).
cnf(l2,plain,
( ~ member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset)))
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| unionE_sk1(sk2,cons(a,cons(b,eptset))) = a ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l3,plain,
( ~ member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),eptset)
| unionE_sk1(sk2,cons(a,cons(b,eptset))) = b ),
inference(instantiation,[status(thm)],[4]) ).
cnf(7,plain,
~ member(X0,eptset),
inference(cnf,[status(esa)],[clause158]) ).
cnf(l5,plain,
~ member(unionE_sk1(sk2,cons(a,cons(b,eptset))),eptset),
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
( ~ member(X0,union(X1))
| member(X0,unionE_sk1(X0,X1)) ),
inference(cnf,[status(esa)],[clause119]) ).
cnf(l331,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( ~ member(X0,X1)
| member(X0,un(X2,X1)) ),
inference(cnf,[status(esa)],[unI2]) ).
cnf(l357,plain,
( ~ member(sk2,b)
| member(sk2,un(a,b)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(13,plain,
~ member(sk2,un(a,b)),
inference(cnf,[status(esa)],[un_eq_Union_2_c2]) ).
cnf(l358,plain,
~ member(sk2,un(a,b)),
inference(instantiation,[status(thm)],[13]) ).
cnf(l212,plain,
~ member(sk2,un(a,b)),
inference(instantiation,[status(thm)],[13]) ).
cnf(5,plain,
( ~ member(X0,X1)
| member(X0,un(X1,X2)) ),
inference(cnf,[status(esa)],[unI1]) ).
cnf(l204,plain,
( ~ member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset))))
| member(sk2,un(unionE_sk1(sk2,cons(a,cons(b,eptset))),b)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l210,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l331,l357,l358,l212,l204,l210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET787-1 : TPTP v9.0.0. Released v2.7.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.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 : 300
% 0.12/0.33 % DateTime : Mon Jul 21 22:42:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.19/0.39 % launching worker at depth: 12
% 4.01/0.84 % launching worker at depth: 13
% 27.54/3.80 % SZS status Theorem for theBenchmark
% 27.54/3.80 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------