%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU172+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.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 03:44:44 PM UTC 2025
% Result : Theorem 0.12s 0.33s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 29 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 6 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t54_subset_1,plain,
! [A,B,C] :
( element(C,powerset(A))
=> ~ ( in(B,subset_complement(A,C))
& in(B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
fof(t54_subset_1_negated,plain,
~ ! [A,B,C] :
( element(C,powerset(A))
=> ~ ( in(B,subset_complement(A,C))
& in(B,C) ) ),
inference(negate_conjecture,[status(cth)],[t54_subset_1]) ).
cnf(18,plain,
element(sK8,powerset(sK6)),
inference(cnf,[status(esa)],[t54_subset_1_negated]) ).
cnf(l0,plain,
element(sK8,powerset(sK6)),
inference(instantiation,[status(thm)],[18]) ).
fof(d5_subset_1,plain,
! [A,B] :
( element(B,powerset(A))
=> subset_complement(A,B) = set_difference(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
cnf(17,plain,
( ~ element(X0,powerset(X1))
| subset_complement(X1,X0) = set_difference(X1,X0) ),
inference(cnf,[status(esa)],[d5_subset_1]) ).
cnf(l1,plain,
( ~ element(sK8,powerset(sK6))
| subset_complement(sK6,sK8) = set_difference(sK6,sK8) ),
inference(instantiation,[status(thm)],[17]) ).
fof(d4_xboole_0,plain,
! [A,B,C] :
( C = set_difference(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& ~ in(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(22,plain,
( X0 != set_difference(X1,X2)
| ~ in(X3,X2)
| ~ in(X3,X0) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
cnf(l2,plain,
( subset_complement(sK6,sK8) != set_difference(sK6,sK8)
| ~ in(sK7,sK8)
| ~ in(sK7,subset_complement(sK6,sK8)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(20,plain,
in(sK7,sK8),
inference(cnf,[status(esa)],[t54_subset_1_negated]) ).
cnf(l3,plain,
in(sK7,sK8),
inference(instantiation,[status(thm)],[20]) ).
cnf(19,plain,
in(sK7,subset_complement(sK6,sK8)),
inference(cnf,[status(esa)],[t54_subset_1_negated]) ).
cnf(l6,plain,
in(sK7,subset_complement(sK6,sK8)),
inference(instantiation,[status(thm)],[19]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU172+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n022.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Jul 21 23:44:04 EDT 2025
% 0.12/0.32 % CPUTime :
% 0.12/0.32 % launching worker at depth: 1
% 0.12/0.32 % launching worker at depth: 3
% 0.12/0.32 % launching worker at depth: 4
% 0.12/0.32 % launching worker at depth: 8
% 0.12/0.32 % launching worker at depth: 5
% 0.12/0.32 % launching worker at depth: 6
% 0.12/0.32 % launching worker at depth: 7
% 0.12/0.32 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % SZS status Theorem for theBenchmark
% 0.12/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------