%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU444+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 08:42:05 AM UTC 2026
% Result : Theorem 72.74s 10.82s
% Output : CNFRefutation 72.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 24 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 5 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 15 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t51_relset_2,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X1,X0)
=> ( 'k2$ufunct$u5'(X2) = 'k10$urelset$u1'(X1,X0,X2,X1)
& 'k1$ufunct$u5'(X2) = 'k10$urelset$u1'(X0,X1,'k6$urelset$u1'(X1,X0,X2),X0) ) ) ).
fof(t56_relset_2,conjecture,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X1,X0)
=> ( 'k10$urelset$u1'(X0,X1,'k6$urelset$u1'(X1,X0,X2),'k10$urelset$u1'(X1,X0,X2,X1)) = 'k10$urelset$u1'(X0,X1,'k6$urelset$u1'(X1,X0,X2),'k2$ufunct$u5'(X2))
& 'k1$ufunct$u5'(X2) = 'k10$urelset$u1'(X0,X1,'k6$urelset$u1'(X1,X0,X2),X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X1,X0)
=> ( 'k10$urelset$u1'(X0,X1,'k6$urelset$u1'(X1,X0,X2),'k10$urelset$u1'(X1,X0,X2,X1)) = 'k10$urelset$u1'(X0,X1,'k6$urelset$u1'(X1,X0,X2),'k2$ufunct$u5'(X2))
& 'k1$ufunct$u5'(X2) = 'k10$urelset$u1'(X0,X1,'k6$urelset$u1'(X1,X0,X2),X0) ) ),
inference(negate_conjecture,[status(cth)],[t56_relset_2]) ).
cnf(c3,plain,
( 'k10$urelset$u1'(X2,X1,'k6$urelset$u1'(X1,X2,X0),X2) = 'k1$ufunct$u5'(X0)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t51_relset_2]) ).
cnf(c4,plain,
( 'k10$urelset$u1'(X1,X2,X0,X1) = 'k2$ufunct$u5'(X0)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t51_relset_2]) ).
cnf(c118,plain,
'm2$urelset$u1'(sK192,sK191,sK190),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c119,plain,
( 'k10$urelset$u1'(sK190,sK191,'k6$urelset$u1'(sK191,sK190,sK192),'k2$ufunct$u5'(sK192)) != 'k10$urelset$u1'(sK190,sK191,'k6$urelset$u1'(sK191,sK190,sK192),'k10$urelset$u1'(sK191,sK190,sK192,sK191))
| 'k10$urelset$u1'(sK190,sK191,'k6$urelset$u1'(sK191,sK190,sK192),sK190) != 'k1$ufunct$u5'(sK192) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'k10$urelset$u1'(sK190,sK191,'k6$urelset$u1'(sK191,sK190,sK192),sK190) = 'k1$ufunct$u5'(sK192),
inference(resolution,[status(thm)],[c3,c118]) ).
cnf(d1,plain,
'k10$urelset$u1'(sK191,sK190,sK192,sK191) = 'k2$ufunct$u5'(sK192),
inference(resolution,[status(thm)],[c4,c118]) ).
cnf(d2,plain,
( 'k10$urelset$u1'(sK190,sK191,'k6$urelset$u1'(sK191,sK190,sK192),sK190) != 'k1$ufunct$u5'(sK192)
| 'k10$urelset$u1'(sK190,sK191,'k6$urelset$u1'(sK191,sK190,sK192),'k2$ufunct$u5'(sK192)) != 'k10$urelset$u1'(sK190,sK191,'k6$urelset$u1'(sK191,sK190,sK192),'k2$ufunct$u5'(sK192)) ),
inference(demodulation,[status(thm)],[c119,d1]) ).
cnf(d3,plain,
( 'k1$ufunct$u5'(sK192) != 'k1$ufunct$u5'(sK192)
| 'k10$urelset$u1'(sK190,sK191,'k6$urelset$u1'(sK191,sK190,sK192),'k2$ufunct$u5'(sK192)) != 'k10$urelset$u1'(sK190,sK191,'k6$urelset$u1'(sK191,sK190,sK192),'k2$ufunct$u5'(sK192)) ),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
'k1$ufunct$u5'(sK192) != 'k1$ufunct$u5'(sK192),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU444+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n013.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 09:56:37 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 72.74/10.82 % SZS status Theorem for theBenchmark.p
% 72.74/10.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------