%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU444+1 : 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 : n016.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 18.34s 2.78s
% Output : CNFRefutation 18.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 16 unt; 0 def)
% Number of atoms : 59 ( 35 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 13 |; 3 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 43 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_k10_relset_1,axiom,
! [X0,X1,X2,X3] :
( 'm1$urelset$u1'(X2,X0,X1)
=> 'k10$urelset$u1'(X0,X1,X2,X3) = 'k9$urelat$u1'(X2,X3) ) ).
fof(redefinition_k6_relset_1,axiom,
! [X0,X1,X2] :
( 'm1$urelset$u1'(X2,X0,X1)
=> 'k6$urelset$u1'(X0,X1,X2) = 'k4$urelat$u1'(X2) ) ).
fof(redefinition_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
<=> 'm1$urelset$u1'(X2,X0,X1) ) ).
fof(dt_k6_relset_1,axiom,
! [X0,X1,X2] :
( 'm1$urelset$u1'(X2,X0,X1)
=> 'm2$urelset$u1'('k6$urelset$u1'(X0,X1,X2),X1,X0) ) ).
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(c39,plain,
( 'k10$urelset$u1'(X1,X2,X0,X3) = 'k9$urelat$u1'(X0,X3)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_k10_relset_1]) ).
cnf(c40,plain,
( 'k6$urelset$u1'(X1,X2,X0) = 'k4$urelat$u1'(X0)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_k6_relset_1]) ).
cnf(c41,plain,
( 'm1$urelset$u1'(X0,X1,X2)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c44,plain,
( 'm2$urelset$u1'('k6$urelset$u1'(X1,X2,X0),X2,X1)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[dt_k6_relset_1]) ).
cnf(c46,plain,
( 'k1$ufunct$u5'(X0) = 'k10$urelset$u1'(X2,X1,'k6$urelset$u1'(X1,X2,X0),X2)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t51_relset_2]) ).
cnf(c47,plain,
( 'k2$ufunct$u5'(X0) = 'k10$urelset$u1'(X1,X2,X0,X1)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t51_relset_2]) ).
cnf(c48,plain,
'm2$urelset$u1'(sK76,sK75,sK74),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c49,plain,
( 'k10$urelset$u1'(sK74,sK75,'k6$urelset$u1'(sK75,sK74,sK76),'k10$urelset$u1'(sK75,sK74,sK76,sK75)) != 'k10$urelset$u1'(sK74,sK75,'k6$urelset$u1'(sK75,sK74,sK76),'k2$ufunct$u5'(sK76))
| 'k1$ufunct$u5'(sK76) != 'k10$urelset$u1'(sK74,sK75,'k6$urelset$u1'(sK75,sK74,sK76),sK74) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'm1$urelset$u1'(sK76,sK75,sK74),
inference(resolution,[status(thm)],[c41,c48]) ).
cnf(d1,plain,
'k6$urelset$u1'(sK75,sK74,sK76) = 'k4$urelat$u1'(sK76),
inference(resolution,[status(thm)],[d0,c40]) ).
cnf(d2,plain,
( ~ 'm1$urelset$u1'(sK76,sK75,sK74)
| 'm2$urelset$u1'('k4$urelat$u1'(sK76),sK74,sK75) ),
inference(superposition,[status(thm)],[d1,c44]) ).
cnf(d3,plain,
'm2$urelset$u1'('k4$urelat$u1'(sK76),sK74,sK75),
inference(resolution,[status(thm)],[d0,d2]) ).
cnf(d4,plain,
'm1$urelset$u1'('k4$urelat$u1'(sK76),sK74,sK75),
inference(resolution,[status(thm)],[d3,c41]) ).
cnf(d5,plain,
'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),X0) = 'k9$urelat$u1'('k4$urelat$u1'(sK76),X0),
inference(resolution,[status(thm)],[d4,c39]) ).
cnf(d6,plain,
'k1$ufunct$u5'(sK76) = 'k10$urelset$u1'(sK74,sK75,'k6$urelset$u1'(sK75,sK74,sK76),sK74),
inference(resolution,[status(thm)],[c46,c48]) ).
cnf(d7,plain,
'k1$ufunct$u5'(sK76) = 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),sK74),
inference(demodulation,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
'k1$ufunct$u5'(sK76) = 'k9$urelat$u1'('k4$urelat$u1'(sK76),sK74),
inference(demodulation,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
'k10$urelset$u1'(sK75,sK74,sK76,X0) = 'k9$urelat$u1'(sK76,X0),
inference(resolution,[status(thm)],[d0,c39]) ).
cnf(d10,plain,
'k2$ufunct$u5'(sK76) = 'k10$urelset$u1'(sK75,sK74,sK76,sK75),
inference(resolution,[status(thm)],[c47,c48]) ).
cnf(d11,plain,
'k2$ufunct$u5'(sK76) = 'k9$urelat$u1'(sK76,sK75),
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
( 'k1$ufunct$u5'(sK76) != 'k10$urelset$u1'(sK74,sK75,'k6$urelset$u1'(sK75,sK74,sK76),sK74)
| 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),'k10$urelset$u1'(sK75,sK74,sK76,sK75)) != 'k10$urelset$u1'(sK74,sK75,'k6$urelset$u1'(sK75,sK74,sK76),'k2$ufunct$u5'(sK76)) ),
inference(demodulation,[status(thm)],[c49,d1]) ).
cnf(d13,plain,
( 'k1$ufunct$u5'(sK76) != 'k10$urelset$u1'(sK74,sK75,'k6$urelset$u1'(sK75,sK74,sK76),sK74)
| 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),'k10$urelset$u1'(sK75,sK74,sK76,sK75)) != 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),'k2$ufunct$u5'(sK76)) ),
inference(demodulation,[status(thm)],[d12,d1]) ).
cnf(d14,plain,
( 'k1$ufunct$u5'(sK76) != 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),sK74)
| 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),'k10$urelset$u1'(sK75,sK74,sK76,sK75)) != 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),'k2$ufunct$u5'(sK76)) ),
inference(demodulation,[status(thm)],[d13,d1]) ).
cnf(d15,plain,
( 'k1$ufunct$u5'(sK76) != 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),sK74)
| 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),'k9$urelat$u1'(sK76,sK75)) != 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),'k2$ufunct$u5'(sK76)) ),
inference(demodulation,[status(thm)],[d14,d9]) ).
cnf(d16,plain,
( 'k1$ufunct$u5'(sK76) != 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),sK74)
| 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),'k2$ufunct$u5'(sK76)) != 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),'k2$ufunct$u5'(sK76)) ),
inference(demodulation,[status(thm)],[d15,d11]) ).
cnf(d17,plain,
'k1$ufunct$u5'(sK76) != 'k10$urelset$u1'(sK74,sK75,'k4$urelat$u1'(sK76),sK74),
inference(equality_resolution,[status(thm)],[d16]) ).
cnf(d18,plain,
'k1$ufunct$u5'(sK76) != 'k9$urelat$u1'('k4$urelat$u1'(sK76),sK74),
inference(demodulation,[status(thm)],[d17,d5]) ).
cnf(d19,plain,
'k1$ufunct$u5'(sK76) != 'k1$ufunct$u5'(sK76),
inference(demodulation,[status(thm)],[d18,d8]) ).
cnf(d20,plain,
$false,
inference(equality_resolution,[status(thm)],[d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU444+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 10:02:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.34/2.78 % SZS status Theorem for theBenchmark.p
% 18.34/2.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------