%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU126+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 : 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 03:44:32 PM UTC 2025
% Result : Theorem 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 36 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 8 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t12_xboole_1,plain,
! [A,B] :
( subset(A,B)
=> set_union2(A,B) = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(t12_xboole_1_negated,plain,
~ ! [A,B] :
( subset(A,B)
=> set_union2(A,B) = B ),
inference(negate_conjecture,[status(cth)],[t12_xboole_1]) ).
cnf(39,plain,
set_union2(sK7,sK8) != sK8,
inference(cnf,[status(esa)],[t12_xboole_1_negated]) ).
cnf(l0,plain,
set_union2(sK7,sK8) != sK8,
inference(instantiation,[status(thm)],[39]) ).
fof(d10_xboole_0,plain,
! [A,B] :
( A = B
<=> ( subset(A,B)
& subset(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(5,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l1,plain,
( ~ subset(set_union2(sK7,sK8),sK8)
| ~ subset(sK8,set_union2(sK7,sK8))
| set_union2(sK7,sK8) = sK8 ),
inference(instantiation,[status(thm)],[5]) ).
fof(t8_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& subset(C,B) )
=> subset(set_union2(A,C),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
cnf(53,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| subset(set_union2(X0,X2),X1) ),
inference(cnf,[status(esa)],[t8_xboole_1]) ).
cnf(l2,plain,
( ~ subset(sK7,sK8)
| ~ subset(sK8,sK8)
| subset(set_union2(sK7,sK8),sK8) ),
inference(instantiation,[status(thm)],[53]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(36,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l6,plain,
subset(sK8,sK8),
inference(instantiation,[status(thm)],[36]) ).
cnf(38,plain,
subset(sK7,sK8),
inference(cnf,[status(esa)],[t12_xboole_1_negated]) ).
cnf(l7,plain,
subset(sK7,sK8),
inference(instantiation,[status(thm)],[38]) ).
fof(t7_xboole_1,plain,
! [A,B] : subset(A,set_union2(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(51,plain,
subset(X0,set_union2(X0,X1)),
inference(cnf,[status(esa)],[t7_xboole_1]) ).
cnf(l16,plain,
subset(sK8,set_union2(sK8,sK7)),
inference(instantiation,[status(thm)],[51]) ).
fof(commutativity_k2_xboole_0,plain,
! [A,B] : set_union2(A,B) = set_union2(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
cnf(1,plain,
set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
cnf(l15,plain,
set_union2(sK8,sK7) = set_union2(sK7,sK8),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l6,l7,l16,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU126+2 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.12 % 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 : Mon Jul 21 23:32:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 9
% 0.19/0.34 % launching worker at depth: 10
% 0.19/0.47 % SZS status Theorem for theBenchmark
% 0.19/0.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------