%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU172+2 : 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 : 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 03:44:44 PM UTC 2025
% Result : Theorem 0.19s 0.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 55 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 51 ( 23 ~; 14 |; 7 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 1 sgn 19 !; 1 ?)
% 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/sandbox2/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(175,plain,
element(sK34,powerset(sK32)),
inference(cnf,[status(esa)],[t54_subset_1_negated]) ).
cnf(l0,plain,
element(sK34,powerset(sK32)),
inference(instantiation,[status(thm)],[175]) ).
fof(t43_subset_1,plain,
! [A,B] :
( element(B,powerset(A))
=> ! [C] :
( element(C,powerset(A))
=> ( disjoint(B,C)
<=> subset(B,subset_complement(A,C)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_subset_1) ).
cnf(167,plain,
( ~ subset(X0,subset_complement(X1,X2))
| ~ element(X0,powerset(X1))
| ~ element(X2,powerset(X1))
| disjoint(X0,X2) ),
inference(cnf,[status(esa)],[t43_subset_1]) ).
cnf(l1,plain,
( ~ subset(sK34,subset_complement(sK32,subset_complement(sK32,sK34)))
| ~ element(sK34,powerset(sK32))
| ~ element(subset_complement(sK32,sK34),powerset(sK32))
| disjoint(sK34,subset_complement(sK32,sK34)) ),
inference(instantiation,[status(thm)],[167]) ).
fof(involutiveness_k3_subset_1,plain,
! [A,B] :
( element(B,powerset(A))
=> subset_complement(A,subset_complement(A,B)) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
cnf(95,plain,
( ~ element(X0,powerset(X1))
| subset_complement(X1,subset_complement(X1,X0)) = X0 ),
inference(cnf,[status(esa)],[involutiveness_k3_subset_1]) ).
cnf(l5,plain,
( ~ element(sK34,powerset(sK32))
| subset_complement(sK32,subset_complement(sK32,sK34)) = sK34 ),
inference(instantiation,[status(thm)],[95]) ).
fof(t1_boole,plain,
! [A] : set_union2(A,empty_set) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_boole) ).
cnf(136,plain,
set_union2(X0,empty_set) = X0,
inference(cnf,[status(esa)],[t1_boole]) ).
cnf(l7,plain,
set_union2(subset_complement(sK32,subset_complement(sK32,sK34)),empty_set) = subset_complement(sK32,subset_complement(sK32,sK34)),
inference(instantiation,[status(thm)],[136]) ).
fof(t7_xboole_1,plain,
! [A,B] : subset(A,set_union2(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(186,plain,
subset(X0,set_union2(X0,X1)),
inference(cnf,[status(esa)],[t7_xboole_1]) ).
cnf(l6,plain,
subset(subset_complement(sK32,subset_complement(sK32,sK34)),set_union2(subset_complement(sK32,subset_complement(sK32,sK34)),empty_set)),
inference(instantiation,[status(thm)],[186]) ).
fof(dt_k3_subset_1,plain,
! [A,B] :
( element(B,powerset(A))
=> element(subset_complement(A,B),powerset(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
cnf(86,plain,
( ~ element(X0,powerset(X1))
| element(subset_complement(X1,X0),powerset(X1)) ),
inference(cnf,[status(esa)],[dt_k3_subset_1]) ).
cnf(l2,plain,
( ~ element(sK34,powerset(sK32))
| element(subset_complement(sK32,sK34),powerset(sK32)) ),
inference(instantiation,[status(thm)],[86]) ).
fof(t3_xboole_0,plain,
! [A,B] :
( ~ ( ~ disjoint(A,B)
& ! [C] :
~ ( in(C,A)
& in(C,B) ) )
& ~ ( ? [C] :
( in(C,A)
& in(C,B) )
& disjoint(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(163,plain,
( ~ in(X0,X1)
| ~ in(X0,X2)
| ~ disjoint(X1,X2) ),
inference(cnf,[status(esa)],[t3_xboole_0]) ).
cnf(l13,plain,
( ~ in(sK33,sK34)
| ~ in(sK33,subset_complement(sK32,sK34))
| ~ disjoint(sK34,subset_complement(sK32,sK34)) ),
inference(instantiation,[status(thm)],[163]) ).
cnf(177,plain,
in(sK33,sK34),
inference(cnf,[status(esa)],[t54_subset_1_negated]) ).
cnf(l15,plain,
in(sK33,sK34),
inference(instantiation,[status(thm)],[177]) ).
cnf(176,plain,
in(sK33,subset_complement(sK32,sK34)),
inference(cnf,[status(esa)],[t54_subset_1_negated]) ).
cnf(l14,plain,
in(sK33,subset_complement(sK32,sK34)),
inference(instantiation,[status(thm)],[176]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l7,l6,l2,l13,l15,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU172+2 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:43:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 1
% 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: 7
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.19/0.44 % launching worker at depth: 10
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------