%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU451+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 : n007.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 08:42:07 AM UTC 2026
% Result : Theorem 10.55s 3.04s
% Output : CNFRefutation 10.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 22 unt; 0 def)
% Number of atoms : 73 ( 34 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 24 ~; 18 |; 4 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-6 aty)
% Number of variables : 85 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k6_partfun1,axiom,
! [X0] :
( 'm2$urelset$u1'('k6$upartfun1'(X0),X0,X0)
& 'v1$upartfun1'('k6$upartfun1'(X0),X0,X0) ) ).
fof(dt_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
=> 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))) ) ).
fof(redefinition_k6_partfun1,axiom,
! [X0] : 'k6$upartfun1'(X0) = 'k6$urelat$u1'(X0) ).
fof(redefinition_k7_relset_1,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( 'm1$urelset$u1'(X5,X2,X3)
& 'm1$urelset$u1'(X4,X0,X1) )
=> 'k7$urelset$u1'(X0,X1,X2,X3,X4,X5) = 'k5$urelat$u1'(X4,X5) ) ).
fof(redefinition_k9_relset_2,axiom,
! [X0,X1,X2,X3,X4] :
( ( 'm1$usubset$u1'(X4,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2)))
& 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))) )
=> 'k9$urelset$u2'(X0,X1,X2,X3,X4) = 'k5$urelat$u1'(X3,X4) ) ).
fof(redefinition_m2_relset_1,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
<=> 'm1$urelset$u1'(X2,X0,X1) ) ).
fof(t23_funct_2,axiom,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
=> ( 'k7$urelset$u1'(X0,X1,X1,X1,X2,'k6$upartfun1'(X1)) = X2
& 'k7$urelset$u1'(X0,X0,X0,X1,'k6$upartfun1'(X0),X2) = X2 ) ) ).
fof(t65_relset_2,conjecture,
! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
=> 'k9$urelset$u2'(X0,X0,X1,'k6$upartfun1'(X0),X2) = 'k9$urelset$u2'(X0,X1,X1,X2,'k6$upartfun1'(X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( 'm2$urelset$u1'(X2,X0,X1)
=> 'k9$urelset$u2'(X0,X0,X1,'k6$upartfun1'(X0),X2) = 'k9$urelset$u2'(X0,X1,X1,X2,'k6$upartfun1'(X1)) ),
inference(negate_conjecture,[status(cth)],[t65_relset_2]) ).
cnf(c7,plain,
'm2$urelset$u1'('k6$upartfun1'(X0),X0,X0),
inference(clausification,[status(esa)],[dt_k6_partfun1]) ).
cnf(c11,plain,
( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2)))
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[dt_m2_relset_1]) ).
cnf(c53,plain,
'k6$upartfun1'(X0) = 'k6$urelat$u1'(X0),
inference(clausification,[status(esa)],[redefinition_k6_partfun1]) ).
cnf(c54,plain,
( 'k7$urelset$u1'(X1,X2,X4,X5,X0,X3) = 'k5$urelat$u1'(X0,X3)
| ~ 'm1$urelset$u1'(X3,X4,X5)
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_k7_relset_1]) ).
cnf(c55,plain,
( 'k9$urelset$u2'(X1,X2,X4,X0,X3) = 'k5$urelat$u1'(X0,X3)
| ~ 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X2,X4)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) ),
inference(clausification,[status(esa)],[redefinition_k9_relset_2]) ).
cnf(c56,plain,
( 'm1$urelset$u1'(X0,X1,X2)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c60,plain,
( 'k7$urelset$u1'(X1,X1,X1,X2,'k6$upartfun1'(X1),X0) = X0
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t23_funct_2]) ).
cnf(c61,plain,
( 'k7$urelset$u1'(X1,X2,X2,X2,X0,'k6$upartfun1'(X2)) = X0
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[t23_funct_2]) ).
cnf(c70,plain,
'm2$urelset$u1'(sK94,sK92,sK93),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c71,plain,
'k9$urelset$u2'(sK92,sK92,sK93,'k6$upartfun1'(sK92),sK94) != 'k9$urelset$u2'(sK92,sK93,sK93,sK94,'k6$upartfun1'(sK93)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'm1$urelset$u1'(sK94,sK92,sK93),
inference(resolution,[status(thm)],[c56,c70]) ).
cnf(d1,plain,
'm2$urelset$u1'('k6$urelat$u1'(X0),X0,X0),
inference(demodulation,[status(thm)],[c7,c53]) ).
cnf(d2,plain,
'm1$urelset$u1'('k6$urelat$u1'(X0),X0,X0),
inference(resolution,[status(thm)],[d1,c56]) ).
cnf(d3,plain,
( ~ 'm1$urelset$u1'(X3,X1,X2)
| 'k7$urelset$u1'(X0,X0,X1,X2,'k6$urelat$u1'(X0),X3) = 'k5$urelat$u1'('k6$urelat$u1'(X0),X3) ),
inference(resolution,[status(thm)],[d2,c54]) ).
cnf(d4,plain,
'k7$urelset$u1'(X0,X0,sK92,sK93,'k6$urelat$u1'(X0),sK94) = 'k5$urelat$u1'('k6$urelat$u1'(X0),sK94),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( ~ 'm2$urelset$u1'(X2,X0,X1)
| 'k7$urelset$u1'(X0,X0,X0,X1,'k6$urelat$u1'(X0),X2) = X2 ),
inference(demodulation,[status(thm)],[c60,c53]) ).
cnf(d6,plain,
'k7$urelset$u1'(sK92,sK92,sK92,sK93,'k6$urelat$u1'(sK92),sK94) = sK94,
inference(resolution,[status(thm)],[d5,c70]) ).
cnf(d7,plain,
'k5$urelat$u1'('k6$urelat$u1'(sK92),sK94) = sK94,
inference(demodulation,[status(thm)],[d6,d4]) ).
cnf(d8,plain,
( ~ 'm2$urelset$u1'(X3,X0,X1)
| ~ 'm1$usubset$u1'(X4,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2)))
| 'k9$urelset$u2'(X0,X1,X2,X3,X4) = 'k5$urelat$u1'(X3,X4) ),
inference(resolution,[status(thm)],[c55,c11]) ).
cnf(d9,plain,
( ~ 'm2$urelset$u1'(X4,X1,X2)
| ~ 'm2$urelset$u1'(X3,X0,X1)
| 'k9$urelset$u2'(X0,X1,X2,X3,X4) = 'k5$urelat$u1'(X3,X4) ),
inference(resolution,[status(thm)],[d8,c11]) ).
cnf(d10,plain,
( ~ 'm2$urelset$u1'(X2,X0,X1)
| 'k9$urelset$u2'(X0,X0,X1,'k6$urelat$u1'(X0),X2) = 'k5$urelat$u1'('k6$urelat$u1'(X0),X2) ),
inference(resolution,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
'k9$urelset$u2'(sK92,sK92,sK93,'k6$urelat$u1'(sK92),sK94) = 'k5$urelat$u1'('k6$urelat$u1'(sK92),sK94),
inference(resolution,[status(thm)],[d10,c70]) ).
cnf(d12,plain,
( ~ 'm1$urelset$u1'(X2,X0,X1)
| 'k7$urelset$u1'(sK92,sK93,X0,X1,sK94,X2) = 'k5$urelat$u1'(sK94,X2) ),
inference(resolution,[status(thm)],[d0,c54]) ).
cnf(d13,plain,
'k7$urelset$u1'(sK92,sK93,X0,X0,sK94,'k6$urelat$u1'(X0)) = 'k5$urelat$u1'(sK94,'k6$urelat$u1'(X0)),
inference(resolution,[status(thm)],[d2,d12]) ).
cnf(d14,plain,
( ~ 'm2$urelset$u1'(X2,X1,X0)
| 'k7$urelset$u1'(X1,X0,X0,X0,X2,'k6$urelat$u1'(X0)) = X2 ),
inference(demodulation,[status(thm)],[c61,c53]) ).
cnf(d15,plain,
'k7$urelset$u1'(sK92,sK93,sK93,sK93,sK94,'k6$urelat$u1'(sK93)) = sK94,
inference(resolution,[status(thm)],[d14,c70]) ).
cnf(d16,plain,
'k5$urelat$u1'(sK94,'k6$urelat$u1'(sK93)) = sK94,
inference(demodulation,[status(thm)],[d15,d13]) ).
cnf(d17,plain,
( ~ 'm2$urelset$u1'(X1,sK93,X0)
| 'k9$urelset$u2'(sK92,sK93,X0,sK94,X1) = 'k5$urelat$u1'(sK94,X1) ),
inference(resolution,[status(thm)],[d9,c70]) ).
cnf(d18,plain,
'k9$urelset$u2'(sK92,sK93,sK93,sK94,'k6$urelat$u1'(sK93)) = 'k5$urelat$u1'(sK94,'k6$urelat$u1'(sK93)),
inference(resolution,[status(thm)],[d17,d1]) ).
cnf(d19,plain,
'k9$urelset$u2'(sK92,sK93,sK93,sK94,'k6$urelat$u1'(sK93)) = sK94,
inference(demodulation,[status(thm)],[d18,d16]) ).
cnf(d20,plain,
'k9$urelset$u2'(sK92,sK92,sK93,'k6$urelat$u1'(sK92),sK94) != 'k9$urelset$u2'(sK92,sK93,sK93,sK94,'k6$upartfun1'(sK93)),
inference(demodulation,[status(thm)],[c71,c53]) ).
cnf(d21,plain,
'k9$urelset$u2'(sK92,sK92,sK93,'k6$urelat$u1'(sK92),sK94) != 'k9$urelset$u2'(sK92,sK93,sK93,sK94,'k6$urelat$u1'(sK93)),
inference(demodulation,[status(thm)],[d20,c53]) ).
cnf(d22,plain,
'k9$urelset$u2'(sK92,sK92,sK93,'k6$urelat$u1'(sK92),sK94) != sK94,
inference(demodulation,[status(thm)],[d21,d19]) ).
cnf(d23,plain,
'k5$urelat$u1'('k6$urelat$u1'(sK92),sK94) != sK94,
inference(demodulation,[status(thm)],[d22,d11]) ).
cnf(d24,plain,
$false,
inference(resolution,[status(thm)],[d23,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU451+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
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 10:00:38 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.55/3.04 % SZS status Theorem for theBenchmark.p
% 10.55/3.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------