%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU321+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 03:45:11 PM UTC 2025
% Result : Theorem 10.15s 1.65s
% Output : CNFRefutation 10.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 75 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 78 ( 33 ~; 22 |; 9 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l40_tops_1,plain,
! [A] :
( ( ~ empty_carrier(A)
& one_sorted_str(A) )
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ! [C] :
( element(C,the_carrier(A))
=> ( in(C,subset_complement(the_carrier(A),B))
<=> ~ in(C,B) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l40_tops_1) ).
fof(l40_tops_1_negated,plain,
~ ! [A] :
( ( ~ empty_carrier(A)
& one_sorted_str(A) )
=> ! [B] :
( element(B,powerset(the_carrier(A)))
=> ! [C] :
( element(C,the_carrier(A))
=> ( in(C,subset_complement(the_carrier(A),B))
<=> ~ in(C,B) ) ) ) ),
inference(negate_conjecture,[status(cth)],[l40_tops_1]) ).
cnf(71,plain,
~ empty_carrier(sK6),
inference(cnf,[status(esa)],[l40_tops_1_negated]) ).
cnf(l0,plain,
~ empty_carrier(sK6),
inference(instantiation,[status(thm)],[71]) ).
fof(fc1_struct_0,plain,
! [A] :
( ( ~ empty_carrier(A)
& one_sorted_str(A) )
=> ~ empty(the_carrier(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
cnf(58,plain,
( ~ one_sorted_str(X0)
| ~ empty(the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
cnf(l1,plain,
( ~ one_sorted_str(sK6)
| ~ empty(the_carrier(sK6))
| empty_carrier(sK6) ),
inference(instantiation,[status(thm)],[58]) ).
cnf(72,plain,
one_sorted_str(sK6),
inference(cnf,[status(esa)],[l40_tops_1_negated]) ).
cnf(l2,plain,
one_sorted_str(sK6),
inference(instantiation,[status(thm)],[72]) ).
fof(t50_subset_1,plain,
! [A] :
( A != empty_set
=> ! [B] :
( element(B,powerset(A))
=> ! [C] :
( element(C,A)
=> ( ~ in(C,B)
=> in(C,subset_complement(A,B)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(77,plain,
( ~ element(X0,powerset(X1))
| ~ element(X2,X1)
| X1 = empty_set
| in(X2,X0)
| in(X2,subset_complement(X1,X0)) ),
inference(cnf,[status(esa)],[t50_subset_1]) ).
cnf(l7,plain,
( ~ element(sK7,powerset(the_carrier(sK6)))
| ~ element(sK8,the_carrier(sK6))
| the_carrier(sK6) = empty_set
| in(sK8,sK7)
| in(sK8,subset_complement(the_carrier(sK6),sK7)) ),
inference(instantiation,[status(thm)],[77]) ).
cnf(73,plain,
element(sK7,powerset(the_carrier(sK6))),
inference(cnf,[status(esa)],[l40_tops_1_negated]) ).
cnf(l10,plain,
element(sK7,powerset(the_carrier(sK6))),
inference(instantiation,[status(thm)],[73]) ).
fof(t54_subset_1,plain,
! [A,B,C] :
( element(C,powerset(A))
=> ~ ( in(B,subset_complement(A,C))
& in(B,C) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_subset_1) ).
cnf(78,plain,
( ~ element(X0,powerset(X1))
| ~ in(X2,X0)
| ~ in(X2,subset_complement(X1,X0)) ),
inference(cnf,[status(esa)],[t54_subset_1]) ).
cnf(l234,plain,
( ~ element(sK7,powerset(the_carrier(sK6)))
| ~ in(sK8,sK7)
| ~ in(sK8,subset_complement(the_carrier(sK6),sK7)) ),
inference(instantiation,[status(thm)],[78]) ).
cnf(l235,plain,
( ~ element(sK7,powerset(the_carrier(sK6)))
| ~ in(sK8,sK7)
| ~ in(sK8,subset_complement(the_carrier(sK6),sK7)) ),
inference(instantiation,[status(thm)],[78]) ).
cnf(74,plain,
element(sK8,the_carrier(sK6)),
inference(cnf,[status(esa)],[l40_tops_1_negated]) ).
cnf(l42,plain,
element(sK8,the_carrier(sK6)),
inference(instantiation,[status(thm)],[74]) ).
cnf(l364,plain,
element(sK7,powerset(the_carrier(sK6))),
inference(instantiation,[status(thm)],[73]) ).
cnf(l236,plain,
element(sK7,powerset(the_carrier(sK6))),
inference(instantiation,[status(thm)],[73]) ).
fof(fc6_membered,plain,
( empty(empty_set)
& v1_membered(empty_set)
& v2_membered(empty_set)
& v3_membered(empty_set)
& v4_membered(empty_set)
& v5_membered(empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
cnf(59,plain,
empty(empty_set),
inference(cnf,[status(esa)],[fc6_membered]) ).
cnf(l5,plain,
empty(empty_set),
inference(instantiation,[status(thm)],[59]) ).
cnf(75,plain,
( ~ in(sK8,sK7)
| in(sK8,subset_complement(the_carrier(sK6),sK7)) ),
inference(cnf,[status(esa)],[l40_tops_1_negated]) ).
cnf(l366,plain,
( ~ in(sK8,sK7)
| in(sK8,subset_complement(the_carrier(sK6),sK7)) ),
inference(instantiation,[status(thm)],[75]) ).
cnf(76,plain,
( ~ in(sK8,subset_complement(the_carrier(sK6),sK7))
| in(sK8,sK7) ),
inference(cnf,[status(esa)],[l40_tops_1_negated]) ).
cnf(l244,plain,
( ~ in(sK8,subset_complement(the_carrier(sK6),sK7))
| in(sK8,sK7) ),
inference(instantiation,[status(thm)],[76]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l10,l234,l235,l42,l364,l236,l5,l366,l244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU321+1 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 : Tue Jul 22 00:48:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.18/0.48 % launching worker at depth: 11
% 8.37/1.46 % launching worker at depth: 12
% 10.15/1.65 % SZS status Theorem for theBenchmark
% 10.15/1.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------