%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET788+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 : Theorem 2.31s 0.70s
% Output : CNFRefutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 33 ( 1 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 44 ~; 46 |; 0 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,plain,
( ! [X,Y] :
( equalish(X,Y)
<=> ! [Z] :
( a_member_of(Z,X)
<=> a_member_of(Z,Y) ) )
=> ! [X,Y] :
( equalish(X,Y)
<=> equalish(Y,X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(prove_this_negated,plain,
~ ( ! [X,Y] :
( equalish(X,Y)
<=> ! [Z] :
( a_member_of(Z,X)
<=> a_member_of(Z,Y) ) )
=> ! [X,Y] :
( equalish(X,Y)
<=> equalish(Y,X) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(4,plain,
( equalish(sK2,sK3)
| equalish(sK3,sK2) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l0,plain,
( equalish(sK2,sK3)
| equalish(sK3,sK2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
( ~ equalish(X0,X1)
| ~ a_member_of(X2,X0)
| a_member_of(X2,X1) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l2,plain,
( ~ equalish(sK2,sK3)
| ~ a_member_of(sK1(sK3,sK2),sK2)
| a_member_of(sK1(sK3,sK2),sK3) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(7,plain,
( a_member_of(sK1(X0,X1),X1)
| ~ sP0(X1,X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l80,plain,
( a_member_of(sK1(sK3,sK2),sK2)
| ~ sP0(sK2,sK3) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l16,plain,
( ~ equalish(sK3,sK2)
| ~ a_member_of(sK1(sK3,sK2),sK3)
| a_member_of(sK1(sK3,sK2),sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
( ~ a_member_of(sK1(X0,X1),X1)
| equalish(X0,X1)
| sP0(X1,X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l123,plain,
( ~ a_member_of(sK1(sK3,sK2),sK2)
| equalish(sK3,sK2)
| sP0(sK2,sK3) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
( ~ a_member_of(sK1(X0,X1),X0)
| ~ sP0(X1,X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l124,plain,
( ~ a_member_of(sK1(sK3,sK2),sK3)
| ~ sP0(sK2,sK3) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( equalish(X0,X1)
| a_member_of(sK1(X0,X1),X0)
| sP0(X1,X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l103,plain,
( equalish(sK3,sK2)
| a_member_of(sK1(sK3,sK2),sK3)
| sP0(sK2,sK3) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(5,plain,
( ~ equalish(sK2,sK3)
| ~ equalish(sK3,sK2) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l104,plain,
( ~ equalish(sK2,sK3)
| ~ equalish(sK3,sK2) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
( ~ equalish(X0,X1)
| ~ a_member_of(X2,X1)
| a_member_of(X2,X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l105,plain,
( ~ equalish(sK2,sK3)
| ~ a_member_of(sK1(sK3,sK2),sK3)
| a_member_of(sK1(sK3,sK2),sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l1,plain,
( ~ equalish(sK3,sK2)
| ~ a_member_of(sK1(sK2,sK3),sK3)
| a_member_of(sK1(sK2,sK3),sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l127,plain,
( ~ equalish(sK2,sK3)
| ~ equalish(sK3,sK2) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l78,plain,
( ~ equalish(sK3,sK2)
| ~ a_member_of(sK1(sK2,sK3),sK2)
| a_member_of(sK1(sK2,sK3),sK3) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l134,plain,
( ~ a_member_of(sK1(sK2,sK3),sK3)
| equalish(sK2,sK3)
| sP0(sK3,sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l136,plain,
( ~ a_member_of(sK1(sK2,sK3),sK2)
| ~ sP0(sK3,sK2) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l18,plain,
( ~ a_member_of(sK1(sK3,sK2),sK2)
| equalish(sK3,sK2)
| sP0(sK2,sK3) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l4,plain,
( ~ equalish(sK3,sK2)
| ~ a_member_of(sK1(sK2,sK3),sK2)
| a_member_of(sK1(sK2,sK3),sK3) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l28,plain,
( ~ a_member_of(sK1(sK3,sK2),sK3)
| ~ sP0(sK2,sK3) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l6,plain,
( equalish(sK2,sK3)
| a_member_of(sK1(sK2,sK3),sK2)
| sP0(sK3,sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l51,plain,
( a_member_of(sK1(sK2,sK3),sK3)
| ~ sP0(sK3,sK2) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l30,plain,
( ~ equalish(sK2,sK3)
| ~ equalish(sK3,sK2) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l39,plain,
( ~ equalish(sK2,sK3)
| ~ a_member_of(sK1(sK3,sK2),sK3)
| a_member_of(sK1(sK3,sK2),sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l149,plain,
( ~ equalish(sK2,sK3)
| ~ equalish(sK3,sK2) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l80,l16,l123,l124,l103,l104,l105,l1,l127,l78,l134,l136,l18,l4,l28,l6,l51,l30,l39,l149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET788+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.14 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n024.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Jul 21 22:42:34 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.38 % launching worker at depth: 11
% 2.31/0.70 % SZS status Theorem for theBenchmark
% 2.31/0.70 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------