%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET928+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 03:33:00 PM UTC 2025
% Result : Theorem 2.65s 0.71s
% Output : CNFRefutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 61 ( 19 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 64 ( 32 ~; 24 |; 5 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 1 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t72_zfmisc_1,plain,
! [A,B,C] :
( set_difference(unordered_pair(A,B),C) = unordered_pair(A,B)
<=> ( ~ in(A,C)
& ~ in(B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_zfmisc_1) ).
fof(t72_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( set_difference(unordered_pair(A,B),C) = unordered_pair(A,B)
<=> ( ~ in(A,C)
& ~ in(B,C) ) ),
inference(negate_conjecture,[status(cth)],[t72_zfmisc_1]) ).
cnf(8,plain,
( ~ in(sK4,sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = unordered_pair(sK3,sK4) ),
inference(cnf,[status(esa)],[t72_zfmisc_1_negated]) ).
cnf(l0,plain,
( ~ in(sK4,sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = unordered_pair(sK3,sK4) ),
inference(instantiation,[status(thm)],[8]) ).
fof(t57_zfmisc_1,plain,
! [A,B,C] :
~ ( ~ in(A,B)
& ~ in(C,B)
& ~ disjoint(unordered_pair(A,C),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_zfmisc_1) ).
cnf(6,plain,
( in(X0,X1)
| in(X2,X1)
| disjoint(unordered_pair(X0,X2),X1) ),
inference(cnf,[status(esa)],[t57_zfmisc_1]) ).
cnf(l1,plain,
( in(sK4,sK5)
| in(sK3,sK5)
| disjoint(unordered_pair(sK4,sK3),sK5) ),
inference(instantiation,[status(thm)],[6]) ).
fof(t83_xboole_1,plain,
! [A,B] :
( disjoint(A,B)
<=> set_difference(A,B) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).
cnf(11,plain,
( set_difference(X0,X1) != X0
| disjoint(X0,X1) ),
inference(cnf,[status(esa)],[t83_xboole_1]) ).
cnf(l5,plain,
( set_difference(set_difference(unordered_pair(sK3,sK4),sK5),sK5) != set_difference(unordered_pair(sK3,sK4),sK5)
| disjoint(set_difference(unordered_pair(sK3,sK4),sK5),sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(7,plain,
( ~ in(sK3,sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = unordered_pair(sK3,sK4) ),
inference(cnf,[status(esa)],[t72_zfmisc_1_negated]) ).
cnf(l96,plain,
( ~ in(sK3,sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = unordered_pair(sK3,sK4) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l97,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != unordered_pair(sK3,sK4)
| disjoint(unordered_pair(sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,plain,
( ~ disjoint(X0,X1)
| set_difference(X0,X1) = X0 ),
inference(cnf,[status(esa)],[t83_xboole_1]) ).
cnf(l17,plain,
( ~ disjoint(unordered_pair(sK3,sK4),sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = unordered_pair(sK3,sK4) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(9,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != unordered_pair(sK3,sK4)
| in(sK3,sK5)
| in(sK4,sK5) ),
inference(cnf,[status(esa)],[t72_zfmisc_1_negated]) ).
cnf(l18,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != unordered_pair(sK3,sK4)
| in(sK3,sK5)
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[9]) ).
fof(t55_zfmisc_1,plain,
! [A,B,C] :
~ ( disjoint(unordered_pair(A,B),C)
& in(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_zfmisc_1) ).
cnf(5,plain,
( ~ in(X0,X1)
| ~ disjoint(unordered_pair(X0,X2),X1) ),
inference(cnf,[status(esa)],[t55_zfmisc_1]) ).
cnf(l102,plain,
( ~ in(sK3,sK5)
| ~ disjoint(unordered_pair(sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l125,plain,
( ~ in(sK3,sK5)
| ~ disjoint(unordered_pair(sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l36,plain,
( ~ in(sK4,sK5)
| ~ disjoint(unordered_pair(sK4,sK3),sK5) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l72,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != unordered_pair(sK3,sK4)
| in(sK3,sK5)
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l76,plain,
( ~ in(sK3,sK5)
| ~ disjoint(unordered_pair(sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[5]) ).
fof(commutativity_k2_tarski,plain,
! [A,B] : unordered_pair(A,B) = unordered_pair(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
cnf(1,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
cnf(l43,plain,
unordered_pair(sK4,sK3) = unordered_pair(sK3,sK4),
inference(instantiation,[status(thm)],[1]) ).
cnf(l22,plain,
unordered_pair(sK3,sK4) = unordered_pair(sK4,sK3),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l96,l97,l17,l18,l102,l125,l36,l72,l76,l43,l22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET928+1 : TPTP v9.0.0. Released v3.2.0.
% 0.04/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n027.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 23:02:49 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.20/0.41 % launching worker at depth: 11
% 2.65/0.71 % SZS status Theorem for theBenchmark
% 2.65/0.71 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------