%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SEU447+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 08:42:06 AM UTC 2026
% Result : Theorem 32.30s 7.63s
% Output : CNFRefutation 32.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 62 ( 8 unt; 0 def)
% Number of atoms : 207 ( 25 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 289 ( 144 ~; 120 |; 3 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-5 aty)
% Number of variables : 125 ( 9 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc1_relset_1,axiom,
! [X0,X1,X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))
=> 'v1$urelat$u1'(X2) ) ).
fof(dt_k10_relset_1,axiom,
! [X0,X1,X2,X3] :
( 'm1$urelset$u1'(X2,X0,X1)
=> 'm1$usubset$u1'('k10$urelset$u1'(X0,X1,X2,X3),'k1$uzfmisc$u1'(X1)) ) ).
fof(dt_k3_subset_1,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
=> 'm1$usubset$u1'('k3$usubset$u1'(X0,X1),'k1$uzfmisc$u1'(X0)) ) ).
fof(dt_k8_relset_2,axiom,
! [X0,X1,X2,X3] :
( ( 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))
& 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0)) )
=> 'm1$usubset$u1'('k8$urelset$u2'(X0,X1,X2,X3),'k1$uzfmisc$u1'(X1)) ) ).
fof(dt_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))) )
=> 'm2$urelset$u1'('k9$urelset$u2'(X0,X1,X2,X3,X4),X0,X2) ) ).
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(involutiveness_k3_subset_1,axiom,
! [X0,X1] :
( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
=> 'k3$usubset$u1'(X0,'k3$usubset$u1'(X0,X1)) = X1 ) ).
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_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(t159_relat_1,axiom,
! [X0,X1] :
( 'v1$urelat$u1'(X1)
=> ! [X2] :
( 'v1$urelat$u1'(X2)
=> 'k9$urelat$u1'('k5$urelat$u1'(X1,X2),X0) = 'k9$urelat$u1'(X2,'k9$urelat$u1'(X1,X0)) ) ) ).
fof(t49_relset_2,axiom,
! [X0,X1,X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
=> ! [X3] :
( 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))
=> 'k3$usubset$u1'(X1,'k8$urelset$u2'(X0,X1,X2,X3)) = 'k9$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(X0,X1),X3),X2) ) ) ).
fof(t50_relset_2,axiom,
! [X0,X1,X2] :
( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
=> ! [X3] :
( 'm2$urelset$u1'(X3,X0,X1)
=> 'k3$usubset$u1'(X1,'k10$urelset$u1'(X0,X1,X3,X2)) = 'k8$urelset$u2'(X0,X1,X2,'k3$usubset$u1'('k2$uzfmisc$u1'(X0,X1),X3)) ) ) ).
fof(t59_relset_2,conjecture,
! [X0,X1,X2,X3] :
( 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'(X0))
=> ! [X4] :
( 'm2$urelset$u1'(X4,X0,X1)
=> ! [X5] :
( 'm2$urelset$u1'(X5,X1,X2)
=> 'k8$urelset$u2'(X1,X2,'k10$urelset$u1'(X0,X1,X4,X3),X5) = 'k8$urelset$u2'(X0,X2,X3,'k3$usubset$u1'('k2$uzfmisc$u1'(X0,X2),'k9$urelset$u2'(X0,X1,X2,X4,'k3$usubset$u1'('k2$uzfmisc$u1'(X1,X2),X5)))) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'(X0))
=> ! [X4] :
( 'm2$urelset$u1'(X4,X0,X1)
=> ! [X5] :
( 'm2$urelset$u1'(X5,X1,X2)
=> 'k8$urelset$u2'(X1,X2,'k10$urelset$u1'(X0,X1,X4,X3),X5) = 'k8$urelset$u2'(X0,X2,X3,'k3$usubset$u1'('k2$uzfmisc$u1'(X0,X2),'k9$urelset$u2'(X0,X1,X2,X4,'k3$usubset$u1'('k2$uzfmisc$u1'(X1,X2),X5)))) ) ) ),
inference(negate_conjecture,[status(cth)],[t59_relset_2]) ).
cnf(c2,plain,
( 'v1$urelat$u1'(X0)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) ),
inference(clausification,[status(esa)],[cc1_relset_1]) ).
cnf(c4,plain,
( 'm1$usubset$u1'('k10$urelset$u1'(X1,X2,X0,X3),'k1$uzfmisc$u1'(X2))
| ~ 'm1$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[dt_k10_relset_1]) ).
cnf(c6,plain,
( 'm1$usubset$u1'('k3$usubset$u1'(X1,X0),'k1$uzfmisc$u1'(X1))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[dt_k3_subset_1]) ).
cnf(c14,plain,
( 'm1$usubset$u1'('k8$urelset$u2'(X1,X3,X0,X2),'k1$uzfmisc$u1'(X3))
| ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X3)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[dt_k8_relset_2]) ).
cnf(c16,plain,
( 'm2$urelset$u1'('k9$urelset$u2'(X1,X2,X4,X0,X3),X1,X4)
| ~ '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)],[dt_k9_relset_2]) ).
cnf(c18,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(c35,plain,
( 'k3$usubset$u1'(X1,'k3$usubset$u1'(X1,X0)) = X0
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[involutiveness_k3_subset_1]) ).
cnf(c49,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(c53,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(c54,plain,
( 'm1$urelset$u1'(X0,X1,X2)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(clausification,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(c57,plain,
( 'k9$urelat$u1'('k5$urelat$u1'(X0,X1),X2) = 'k9$urelat$u1'(X1,'k9$urelat$u1'(X0,X2))
| ~ 'v1$urelat$u1'(X1)
| ~ 'v1$urelat$u1'(X0) ),
inference(clausification,[status(esa)],[t159_relat_1]) ).
cnf(c62,plain,
( 'k3$usubset$u1'(X3,'k8$urelset$u2'(X1,X3,X0,X2)) = 'k9$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(X1,X3),X2),X0)
| ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X3)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t49_relset_2]) ).
cnf(c64,plain,
( 'k3$usubset$u1'(X3,'k10$urelset$u1'(X1,X3,X2,X0)) = 'k8$urelset$u2'(X1,X3,X0,'k3$usubset$u1'('k2$uzfmisc$u1'(X1,X3),X2))
| ~ 'm2$urelset$u1'(X2,X1,X3)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
inference(clausification,[status(esa)],[t50_relset_2]) ).
cnf(c69,plain,
'm1$usubset$u1'(sK131,'k1$uzfmisc$u1'(sK128)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c70,plain,
'm2$urelset$u1'(sK132,sK128,sK129),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c71,plain,
'm2$urelset$u1'(sK133,sK129,sK130),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c72,plain,
'k8$urelset$u2'(sK129,sK130,'k10$urelset$u1'(sK128,sK129,sK132,sK131),sK133) != 'k8$urelset$u2'(sK128,sK130,sK131,'k3$usubset$u1'('k2$uzfmisc$u1'(sK128,sK130),'k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'm1$urelset$u1'(sK132,sK128,sK129),
inference(resolution,[status(thm)],[c54,c70]) ).
cnf(d1,plain,
( 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(X1,X2),X0))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) ),
inference(resolution,[status(thm)],[c6,c2]) ).
cnf(d2,plain,
( ~ 'm2$urelset$u1'(X2,X0,X1)
| 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(X0,X1),X2)) ),
inference(resolution,[status(thm)],[d1,c18]) ).
cnf(d3,plain,
( ~ 'm1$urelset$u1'(X2,X0,X1)
| ~ 'm1$urelset$u1'(X2,X0,X1)
| 'm1$usubset$u1'('k9$urelat$u1'(X2,X3),'k1$uzfmisc$u1'(X1)) ),
inference(superposition,[status(thm)],[c49,c4]) ).
cnf(d4,plain,
( ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$usubset$u1'(sK131,'k1$uzfmisc$u1'(sK128))
| 'k8$urelset$u2'(sK129,sK130,'k10$urelset$u1'(sK128,sK129,sK132,sK131),sK133) != 'k3$usubset$u1'(sK130,'k10$urelset$u1'(sK128,sK130,'k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK131)) ),
inference(superposition,[status(thm)],[c64,c72]) ).
cnf(d5,plain,
( ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| 'k8$urelset$u2'(sK129,sK130,'k10$urelset$u1'(sK128,sK129,sK132,sK131),sK133) != 'k3$usubset$u1'(sK130,'k10$urelset$u1'(sK128,sK130,'k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK131)) ),
inference(resolution,[status(thm)],[c69,d4]) ).
cnf(d6,plain,
( ~ 'm1$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| 'k8$urelset$u2'(sK129,sK130,'k10$urelset$u1'(sK128,sK129,sK132,sK131),sK133) != 'k3$usubset$u1'(sK130,'k9$urelat$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK131)) ),
inference(superposition,[status(thm)],[c49,d5]) ).
cnf(d7,plain,
( ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| 'k8$urelset$u2'(sK129,sK130,'k10$urelset$u1'(sK128,sK129,sK132,sK131),sK133) != 'k3$usubset$u1'(sK130,'k9$urelat$u1'('k5$urelat$u1'(sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK131)) ),
inference(superposition,[status(thm)],[c53,d6]) ).
cnf(d8,plain,
( ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133))
| ~ 'v1$urelat$u1'(sK132)
| ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| 'k8$urelset$u2'(sK129,sK130,'k10$urelset$u1'(sK128,sK129,sK132,sK131),sK133) != 'k3$usubset$u1'(sK130,'k9$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k9$urelat$u1'(sK132,sK131))) ),
inference(superposition,[status(thm)],[c57,d7]) ).
cnf(d9,plain,
( 'v1$urelat$u1'(X0)
| ~ 'm2$urelset$u1'(X0,X1,X2) ),
inference(resolution,[status(thm)],[c18,c2]) ).
cnf(d10,plain,
'v1$urelat$u1'(sK132),
inference(resolution,[status(thm)],[d9,c70]) ).
cnf(d11,plain,
( ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133))
| 'k8$urelset$u2'(sK129,sK130,'k10$urelset$u1'(sK128,sK129,sK132,sK131),sK133) != 'k3$usubset$u1'(sK130,'k9$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k9$urelat$u1'(sK132,sK131))) ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
( ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133))
| 'k8$urelset$u2'(sK129,sK130,'k10$urelset$u1'(sK128,sK129,sK132,sK131),sK133) != 'k3$usubset$u1'(sK130,'k3$usubset$u1'(sK130,'k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133))) ),
inference(superposition,[status(thm)],[c62,d11]) ).
cnf(d13,plain,
( ~ 'm1$usubset$u1'('k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133),'k1$uzfmisc$u1'(sK130))
| ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133))
| 'k8$urelset$u2'(sK129,sK130,'k10$urelset$u1'(sK128,sK129,sK132,sK131),sK133) != 'k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133) ),
inference(superposition,[status(thm)],[c35,d12]) ).
cnf(d14,plain,
( ~ 'm1$urelset$u1'(sK132,sK128,sK129)
| ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'm1$usubset$u1'('k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133),'k1$uzfmisc$u1'(sK130))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133))
| 'k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133) != 'k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133) ),
inference(superposition,[status(thm)],[c49,d13]) ).
cnf(d15,plain,
( ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'm1$usubset$u1'('k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133),'k1$uzfmisc$u1'(sK130))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133))
| 'k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133) != 'k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133) ),
inference(resolution,[status(thm)],[d0,d14]) ).
cnf(d16,plain,
( ~ 'm2$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'm1$usubset$u1'('k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133),'k1$uzfmisc$u1'(sK130))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)) ),
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
( ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$urelset$u1'('k9$urelset$u2'(sK128,sK129,sK130,sK132,'k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)),sK128,sK130)
| ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'm1$usubset$u1'('k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133),'k1$uzfmisc$u1'(sK130))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)) ),
inference(resolution,[status(thm)],[d16,c16]) ).
cnf(d18,plain,
( 'm1$urelset$u1'('k9$urelset$u2'(X1,X2,X4,X0,X3),X1,X4)
| ~ '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(resolution,[status(thm)],[c16,c54]) ).
cnf(d19,plain,
( ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'm1$usubset$u1'('k8$urelset$u2'(sK129,sK130,'k9$urelat$u1'(sK132,sK131),sK133),'k1$uzfmisc$u1'(sK130))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133))
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130))) ),
inference(resolution,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
( ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'm1$usubset$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133),'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)) ),
inference(resolution,[status(thm)],[d19,c14]) ).
cnf(d21,plain,
( ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'(sK133,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK129,sK130)))
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)) ),
inference(resolution,[status(thm)],[d20,c6]) ).
cnf(d22,plain,
( ~ 'm2$urelset$u1'(sK133,sK129,sK130)
| ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)) ),
inference(resolution,[status(thm)],[d21,c18]) ).
cnf(d23,plain,
( ~ 'm1$usubset$u1'(sK132,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK128,sK129)))
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)) ),
inference(resolution,[status(thm)],[c71,d22]) ).
cnf(d24,plain,
( ~ 'm2$urelset$u1'(sK132,sK128,sK129)
| ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)) ),
inference(resolution,[status(thm)],[d23,c18]) ).
cnf(d25,plain,
( ~ 'm1$usubset$u1'('k9$urelat$u1'(sK132,sK131),'k1$uzfmisc$u1'(sK129))
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)) ),
inference(resolution,[status(thm)],[c70,d24]) ).
cnf(d26,plain,
( ~ 'm1$urelset$u1'(sK132,X0,sK129)
| ~ 'v1$urelat$u1'('k3$usubset$u1'('k2$uzfmisc$u1'(sK129,sK130),sK133)) ),
inference(resolution,[status(thm)],[d25,d3]) ).
cnf(d27,plain,
( ~ 'm2$urelset$u1'(sK133,sK129,sK130)
| ~ 'm1$urelset$u1'(sK132,X0,sK129) ),
inference(resolution,[status(thm)],[d26,d2]) ).
cnf(d28,plain,
~ 'm1$urelset$u1'(sK132,X0,sK129),
inference(resolution,[status(thm)],[c71,d27]) ).
cnf(d29,plain,
$false,
inference(resolution,[status(thm)],[d28,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU447+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n003.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 10:00:39 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.30/7.63 % SZS status Theorem for theBenchmark.p
% 32.30/7.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------