%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU112+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:40:53 AM UTC 2026
% Result : Theorem 12.83s 2.02s
% Output : CNFRefutation 12.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 26 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 6 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k2_xboole_0,axiom,
! [X0,X1] : 'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0) ).
fof(t23_finsub_1,axiom,
! [X0,X1] :
( subset(X0,X1)
=> subset('finite$usubsets'(X0),'finite$usubsets'(X1)) ) ).
fof(t7_xboole_1,axiom,
! [X0,X1] : subset(X0,'set$uunion2'(X0,X1)) ).
fof(t8_xboole_1,axiom,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset('set$uunion2'(X0,X2),X1) ) ).
fof(t25_finsub_1,conjecture,
! [X0,X1] : subset('set$uunion2'('finite$usubsets'(X0),'finite$usubsets'(X1)),'finite$usubsets'('set$uunion2'(X0,X1))) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1] : subset('set$uunion2'('finite$usubsets'(X0),'finite$usubsets'(X1)),'finite$usubsets'('set$uunion2'(X0,X1))),
inference(negate_conjecture,[status(cth)],[t25_finsub_1]) ).
cnf(c7,plain,
'set$uunion2'(X0,X1) = 'set$uunion2'(X1,X0),
inference(clausification,[status(esa)],[commutativity_k2_xboole_0]) ).
cnf(c56,plain,
( subset('finite$usubsets'(X0),'finite$usubsets'(X1))
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t23_finsub_1]) ).
cnf(c64,plain,
subset(X0,'set$uunion2'(X0,X1)),
inference(clausification,[status(esa)],[t7_xboole_1]) ).
cnf(c66,plain,
( subset('set$uunion2'(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(clausification,[status(esa)],[t8_xboole_1]) ).
cnf(c67,plain,
~ subset('set$uunion2'('finite$usubsets'(sK66),'finite$usubsets'(sK67)),'finite$usubsets'('set$uunion2'(sK66,sK67))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ subset('finite$usubsets'(sK66),'finite$usubsets'('set$uunion2'(sK66,sK67)))
| ~ subset('finite$usubsets'(sK67),'finite$usubsets'('set$uunion2'(sK66,sK67))) ),
inference(resolution,[status(thm)],[c66,c67]) ).
cnf(d1,plain,
( ~ subset(sK67,'set$uunion2'(sK66,sK67))
| ~ subset('finite$usubsets'(sK66),'finite$usubsets'('set$uunion2'(sK66,sK67))) ),
inference(resolution,[status(thm)],[d0,c56]) ).
cnf(d2,plain,
( ~ subset(sK66,'set$uunion2'(sK66,sK67))
| ~ subset(sK67,'set$uunion2'(sK66,sK67)) ),
inference(resolution,[status(thm)],[d1,c56]) ).
cnf(d3,plain,
~ subset(sK67,'set$uunion2'(sK66,sK67)),
inference(resolution,[status(thm)],[c64,d2]) ).
cnf(d4,plain,
subset(X0,'set$uunion2'(X1,X0)),
inference(superposition,[status(thm)],[c7,c64]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU112+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 08:32:33 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.83/2.02 % SZS status Theorem for theBenchmark.p
% 12.83/2.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------