%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT347+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 : n006.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 07:48:25 AM UTC 2026
% Result : Theorem 24.57s 5.40s
% Output : CNFRefutation 24.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 11
% Syntax : Number of formulae : 70 ( 19 unt; 0 def)
% Number of atoms : 269 ( 25 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 360 ( 161 ~; 144 |; 39 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc2_lattice3,axiom,
! [X0] :
( 'l1$uorders$u2'(X0)
=> ( 'v2$ulattice3'(X0)
=> ~ 'v3$ustruct$u0'(X0) ) ) ).
fof(d24_waybel_0,axiom,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v3$uorders$u2'(X0)
& 'v2$uorders$u2'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'k9$uwaybel$u0'(X0) = 'a$u1$u1$uwaybel$u0'(X0) ) ).
fof(dt_k7_lattice3,axiom,
! [X0] :
( 'l1$uorders$u2'(X0)
=> ( 'l1$uorders$u2'('k7$ulattice3'(X0))
& 'v1$uorders$u2'('k7$ulattice3'(X0)) ) ) ).
fof(fc10_yellow_7,axiom,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v2$uyellow$u0'(X0) )
=> ( 'v1$uyellow$u0'('k7$ulattice3'(X0))
& 'v1$uorders$u2'('k7$ulattice3'(X0)) ) ) ).
fof(fc1_yellow_7,axiom,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v2$uorders$u2'(X0) )
=> ( 'v2$uorders$u2'('k7$ulattice3'(X0))
& 'v1$uorders$u2'('k7$ulattice3'(X0)) ) ) ).
fof(fc2_yellow_7,axiom,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v3$uorders$u2'(X0) )
=> ( 'v3$uorders$u2'('k7$ulattice3'(X0))
& 'v1$uorders$u2'('k7$ulattice3'(X0)) ) ) ).
fof(fc3_yellow_7,axiom,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v4$uorders$u2'(X0) )
=> ( 'v4$uorders$u2'('k7$ulattice3'(X0))
& 'v1$uorders$u2'('k7$ulattice3'(X0)) ) ) ).
fof(fc5_yellow_7,axiom,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v2$ulattice3'(X0) )
=> ( 'v1$ulattice3'('k7$ulattice3'(X0))
& 'v1$uorders$u2'('k7$ulattice3'(X0))
& ~ 'v3$ustruct$u0'('k7$ulattice3'(X0)) ) ) ).
fof(t7_waybel16,axiom,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v3$uorders$u2'(X0)
& 'v2$uorders$u2'(X0)
& ~ 'v3$ustruct$u0'(X0) )
=> 'k9$uwaybel$u0'(X0) = 'k8$uwaybel$u0'('k7$ulattice3'(X0)) ) ).
fof(t9_waybel13,axiom,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v1$uyellow$u0'(X0)
& 'v1$ulattice3'(X0)
& 'v4$uorders$u2'(X0)
& 'v3$uorders$u2'(X0)
& 'v2$uorders$u2'(X0) )
=> ! [X1] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'('k2$uyellow$u1'('k8$uwaybel$u0'(X0)))))
& 'v1$uwaybel$u0'(X1,'k2$uyellow$u1'('k8$uwaybel$u0'(X0)))
& ~ 'v1$uxboole$u0'(X1) )
=> 'k1$uyellow$u0'('k2$uyellow$u1'('k8$uwaybel$u0'(X0)),X1) = 'k3$utarski'(X1) ) ) ).
fof(t1_waybel22,conjecture,
! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v2$ulattice3'(X0)
& 'v2$uyellow$u0'(X0)
& 'v4$uorders$u2'(X0)
& 'v3$uorders$u2'(X0)
& 'v2$uorders$u2'(X0) )
=> ! [X1] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'('k2$uyellow$u1'('k9$uwaybel$u0'(X0)))))
& 'v1$uwaybel$u0'(X1,'k2$uyellow$u1'('k9$uwaybel$u0'(X0)))
& ~ 'v1$uxboole$u0'(X1) )
=> 'k1$uyellow$u0'('k2$uyellow$u1'('k9$uwaybel$u0'(X0)),X1) = 'k3$utarski'(X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ( 'l1$uorders$u2'(X0)
& 'v2$ulattice3'(X0)
& 'v2$uyellow$u0'(X0)
& 'v4$uorders$u2'(X0)
& 'v3$uorders$u2'(X0)
& 'v2$uorders$u2'(X0) )
=> ! [X1] :
( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'('k2$uyellow$u1'('k9$uwaybel$u0'(X0)))))
& 'v1$uwaybel$u0'(X1,'k2$uyellow$u1'('k9$uwaybel$u0'(X0)))
& ~ 'v1$uxboole$u0'(X1) )
=> 'k1$uyellow$u0'('k2$uyellow$u1'('k9$uwaybel$u0'(X0)),X1) = 'k3$utarski'(X1) ) ),
inference(negate_conjecture,[status(cth)],[t1_waybel22]) ).
cnf(c39,plain,
( ~ 'v2$ulattice3'(X0)
| ~ 'v3$ustruct$u0'(X0)
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[cc2_lattice3]) ).
cnf(c50,plain,
( ~ 'l1$uorders$u2'(X0)
| 'a$u1$u1$uwaybel$u0'(X0) = 'k9$uwaybel$u0'(X0)
| ~ 'v2$uorders$u2'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[d24_waybel_0]) ).
cnf(c60,plain,
( 'l1$uorders$u2'('k7$ulattice3'(X0))
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[dt_k7_lattice3]) ).
cnf(c74,plain,
( 'v1$uyellow$u0'('k7$ulattice3'(X0))
| ~ 'v2$uyellow$u0'(X0)
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[fc10_yellow_7]) ).
cnf(c80,plain,
( 'v2$uorders$u2'('k7$ulattice3'(X0))
| ~ 'v2$uorders$u2'(X0)
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[fc1_yellow_7]) ).
cnf(c93,plain,
( 'v3$uorders$u2'('k7$ulattice3'(X0))
| ~ 'v3$uorders$u2'(X0)
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[fc2_yellow_7]) ).
cnf(c97,plain,
( 'v4$uorders$u2'('k7$ulattice3'(X0))
| ~ 'v4$uorders$u2'(X0)
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[fc3_yellow_7]) ).
cnf(c109,plain,
( 'v1$ulattice3'('k7$ulattice3'(X0))
| ~ 'v2$ulattice3'(X0)
| ~ 'l1$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[fc5_yellow_7]) ).
cnf(c255,plain,
( ~ 'v2$uorders$u2'(X0)
| 'k8$uwaybel$u0'('k7$ulattice3'(X0)) = 'k9$uwaybel$u0'(X0)
| ~ 'l1$uorders$u2'(X0)
| ~ 'v3$uorders$u2'(X0)
| 'v3$ustruct$u0'(X0) ),
inference(clausification,[status(esa)],[t7_waybel16]) ).
cnf(c257,plain,
( ~ 'v1$uwaybel$u0'(X1,'k2$uyellow$u1'('k8$uwaybel$u0'(X0)))
| ~ 'v3$uorders$u2'(X0)
| ~ 'v2$uorders$u2'(X0)
| 'v1$uxboole$u0'(X1)
| ~ 'v1$ulattice3'(X0)
| ~ 'l1$uorders$u2'(X0)
| 'k3$utarski'(X1) = 'k1$uyellow$u0'('k2$uyellow$u1'('k8$uwaybel$u0'(X0)),X1)
| ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'('k2$uyellow$u1'('k8$uwaybel$u0'(X0)))))
| ~ 'v1$uyellow$u0'(X0)
| ~ 'v4$uorders$u2'(X0) ),
inference(clausification,[status(esa)],[t9_waybel13]) ).
cnf(c258,plain,
'v3$uorders$u2'(sK154),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c259,plain,
'v2$uyellow$u0'(sK154),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c260,plain,
'l1$uorders$u2'(sK154),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c261,plain,
'v2$ulattice3'(sK154),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c262,plain,
'v4$uorders$u2'(sK154),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c263,plain,
'v2$uorders$u2'(sK154),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c264,plain,
'v1$uwaybel$u0'(sK155,'k2$uyellow$u1'('k9$uwaybel$u0'(sK154))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c265,plain,
'm1$usubset$u1'(sK155,'k1$uzfmisc$u1'('u1$ustruct$u0'('k2$uyellow$u1'('k9$uwaybel$u0'(sK154))))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c266,plain,
~ 'v1$uxboole$u0'(sK155),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c267,plain,
'k3$utarski'(sK155) != 'k1$uyellow$u0'('k2$uyellow$u1'('k9$uwaybel$u0'(sK154)),sK155),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ 'v2$uorders$u2'(sK154)
| 'v3$ustruct$u0'(sK154)
| ~ 'l1$uorders$u2'(sK154)
| 'a$u1$u1$uwaybel$u0'(sK154) = 'k9$uwaybel$u0'(sK154) ),
inference(resolution,[status(thm)],[c50,c258]) ).
cnf(d1,plain,
( ~ 'v2$uorders$u2'(sK154)
| 'v3$ustruct$u0'(sK154)
| 'a$u1$u1$uwaybel$u0'(sK154) = 'k9$uwaybel$u0'(sK154) ),
inference(resolution,[status(thm)],[c260,d0]) ).
cnf(d2,plain,
( 'v3$ustruct$u0'(sK154)
| 'a$u1$u1$uwaybel$u0'(sK154) = 'k9$uwaybel$u0'(sK154) ),
inference(resolution,[status(thm)],[c263,d1]) ).
cnf(d3,plain,
( ~ 'v3$ustruct$u0'(sK154)
| ~ 'l1$uorders$u2'(sK154) ),
inference(resolution,[status(thm)],[c39,c261]) ).
cnf(d4,plain,
~ 'v3$ustruct$u0'(sK154),
inference(resolution,[status(thm)],[c260,d3]) ).
cnf(d5,plain,
'a$u1$u1$uwaybel$u0'(sK154) = 'k9$uwaybel$u0'(sK154),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
'm1$usubset$u1'(sK155,'k1$uzfmisc$u1'('u1$ustruct$u0'('k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154))))),
inference(demodulation,[status(thm)],[c265,d5]) ).
cnf(d7,plain,
( ~ 'v2$uorders$u2'(sK154)
| 'v3$ustruct$u0'(sK154)
| ~ 'l1$uorders$u2'(sK154)
| 'k8$uwaybel$u0'('k7$ulattice3'(sK154)) = 'k9$uwaybel$u0'(sK154) ),
inference(resolution,[status(thm)],[c255,c258]) ).
cnf(d8,plain,
( ~ 'v2$uorders$u2'(sK154)
| 'v3$ustruct$u0'(sK154)
| ~ 'l1$uorders$u2'(sK154)
| 'k8$uwaybel$u0'('k7$ulattice3'(sK154)) = 'a$u1$u1$uwaybel$u0'(sK154) ),
inference(demodulation,[status(thm)],[d7,d5]) ).
cnf(d9,plain,
( ~ 'v2$uorders$u2'(sK154)
| 'v3$ustruct$u0'(sK154)
| 'k8$uwaybel$u0'('k7$ulattice3'(sK154)) = 'a$u1$u1$uwaybel$u0'(sK154) ),
inference(resolution,[status(thm)],[c260,d8]) ).
cnf(d10,plain,
( 'v3$ustruct$u0'(sK154)
| 'k8$uwaybel$u0'('k7$ulattice3'(sK154)) = 'a$u1$u1$uwaybel$u0'(sK154) ),
inference(resolution,[status(thm)],[c263,d9]) ).
cnf(d11,plain,
'k8$uwaybel$u0'('k7$ulattice3'(sK154)) = 'a$u1$u1$uwaybel$u0'(sK154),
inference(resolution,[status(thm)],[d4,d10]) ).
cnf(d12,plain,
( ~ 'v1$uwaybel$u0'(X0,'k2$uyellow$u1'('k8$uwaybel$u0'('k7$ulattice3'(sK154))))
| 'v1$uxboole$u0'(X0)
| ~ 'v1$ulattice3'('k7$ulattice3'(sK154))
| ~ 'v4$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154))
| 'k3$utarski'(X0) = 'k1$uyellow$u0'('k2$uyellow$u1'('k8$uwaybel$u0'('k7$ulattice3'(sK154))),X0)
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'('k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154))))) ),
inference(superposition,[status(thm)],[d11,c257]) ).
cnf(d13,plain,
( ~ 'v1$uwaybel$u0'(X0,'k2$uyellow$u1'('k8$uwaybel$u0'('k7$ulattice3'(sK154))))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'('k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)))))
| 'v1$uxboole$u0'(X0)
| ~ 'v1$ulattice3'('k7$ulattice3'(sK154))
| ~ 'v4$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154))
| 'k3$utarski'(X0) = 'k1$uyellow$u0'('k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)),X0) ),
inference(demodulation,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
( ~ 'v1$uwaybel$u0'(X0,'k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)))
| ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'('k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)))))
| 'v1$uxboole$u0'(X0)
| ~ 'v1$ulattice3'('k7$ulattice3'(sK154))
| ~ 'v4$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154))
| 'k3$utarski'(X0) = 'k1$uyellow$u0'('k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)),X0) ),
inference(demodulation,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
( ~ 'v1$uwaybel$u0'(sK155,'k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)))
| 'v1$uxboole$u0'(sK155)
| ~ 'v1$ulattice3'('k7$ulattice3'(sK154))
| ~ 'v4$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154))
| 'k3$utarski'(sK155) = 'k1$uyellow$u0'('k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)),sK155) ),
inference(resolution,[status(thm)],[d14,d6]) ).
cnf(d16,plain,
( ~ 'v1$uwaybel$u0'(sK155,'k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)))
| ~ 'v1$ulattice3'('k7$ulattice3'(sK154))
| ~ 'v4$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154))
| 'k3$utarski'(sK155) = 'k1$uyellow$u0'('k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)),sK155) ),
inference(resolution,[status(thm)],[c266,d15]) ).
cnf(d17,plain,
'v1$uwaybel$u0'(sK155,'k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154))),
inference(demodulation,[status(thm)],[c264,d5]) ).
cnf(d18,plain,
( ~ 'v1$ulattice3'('k7$ulattice3'(sK154))
| ~ 'v4$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154))
| 'k3$utarski'(sK155) = 'k1$uyellow$u0'('k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)),sK155) ),
inference(resolution,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
'k3$utarski'(sK155) != 'k1$uyellow$u0'('k2$uyellow$u1'('a$u1$u1$uwaybel$u0'(sK154)),sK155),
inference(demodulation,[status(thm)],[c267,d5]) ).
cnf(d20,plain,
( ~ 'v1$ulattice3'('k7$ulattice3'(sK154))
| ~ 'v4$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
( ~ 'v2$ulattice3'(sK154)
| ~ 'l1$uorders$u2'(sK154)
| ~ 'v4$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[d20,c109]) ).
cnf(d22,plain,
( ~ 'v2$ulattice3'(sK154)
| ~ 'v4$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[c260,d21]) ).
cnf(d23,plain,
( ~ 'v4$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[c261,d22]) ).
cnf(d24,plain,
( ~ 'v4$uorders$u2'(sK154)
| ~ 'l1$uorders$u2'(sK154)
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[d23,c97]) ).
cnf(d25,plain,
( ~ 'v4$uorders$u2'(sK154)
| ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[c260,d24]) ).
cnf(d26,plain,
( ~ 'v3$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[c262,d25]) ).
cnf(d27,plain,
( ~ 'v3$uorders$u2'(sK154)
| ~ 'l1$uorders$u2'(sK154)
| ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[d26,c93]) ).
cnf(d28,plain,
( ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'(sK154)
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[c258,d27]) ).
cnf(d29,plain,
( ~ 'v1$uyellow$u0'('k7$ulattice3'(sK154))
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[c260,d28]) ).
cnf(d30,plain,
( ~ 'v2$uyellow$u0'(sK154)
| ~ 'l1$uorders$u2'(sK154)
| ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[d29,c74]) ).
cnf(d31,plain,
( ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'(sK154)
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[c259,d30]) ).
cnf(d32,plain,
( ~ 'v2$uorders$u2'('k7$ulattice3'(sK154))
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[c260,d31]) ).
cnf(d33,plain,
( ~ 'v2$uorders$u2'(sK154)
| ~ 'l1$uorders$u2'(sK154)
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[d32,c80]) ).
cnf(d34,plain,
( ~ 'v2$uorders$u2'(sK154)
| ~ 'l1$uorders$u2'('k7$ulattice3'(sK154)) ),
inference(resolution,[status(thm)],[c260,d33]) ).
cnf(d35,plain,
~ 'l1$uorders$u2'('k7$ulattice3'(sK154)),
inference(resolution,[status(thm)],[c263,d34]) ).
cnf(d36,plain,
~ 'l1$uorders$u2'(sK154),
inference(resolution,[status(thm)],[d35,c60]) ).
cnf(d37,plain,
$false,
inference(resolution,[status(thm)],[c260,d36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT347+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.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 : Fri Sep 25 21:08:25 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.57/5.40 % SZS status Theorem for theBenchmark.p
% 24.57/5.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------