%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV102+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 09:01:25 AM UTC 2026
% Result : Theorem 119.45s 26.17s
% Output : CNFRefutation 119.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 38 unt; 0 def)
% Number of atoms : 400 ( 351 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 575 ( 261 ~; 252 |; 53 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-3 aty)
% Number of variables : 63 ( 8 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gt_5_0,axiom,
gt(n5,n0) ).
fof(gt_2_1,axiom,
gt(n2,n1) ).
fof(finite_domain_0,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> X0 = n0 ) ).
fof(successor_1,axiom,
succ(n0) = n1 ).
fof(successor_2,axiom,
succ(succ(n0)) = n2 ).
fof(irreflexivity_gt,axiom,
! [X0] : ~ gt(X0,X0) ).
fof(reflexivity_leq,axiom,
! [X0] : leq(X0,X0) ).
fof(leq_gt1,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ) ).
fof(leq_succ_gt_equiv,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ) ).
fof(uniform_int_rand_ranges_hi,axiom,
! [X0,X1] :
( leq(n0,X0)
=> leq('uniform$uint$urnd'(X1,X0),X0) ) ).
fof(uniform_int_rand_ranges_lo,axiom,
! [X0,X1] :
( leq(n0,X0)
=> leq(n0,'uniform$uint$urnd'(X1,X0)) ) ).
fof(const_array1_select,axiom,
! [X0,X1,X2,X3] :
( ( leq(X0,X2)
& leq(X1,X0) )
=> 'a$uselect2'('tptp$uconst$uarray1'(dim(X1,X2),X3),X0) = X3 ) ).
fof(sel2_update_1,axiom,
! [X0,X1,X2] : 'a$uselect2'('tptp$uupdate2'(X0,X1,X2),X1) = X2 ).
fof(sel2_update_2,axiom,
! [X0,X1,X2,X3,X4] :
( ( 'a$uselect2'(X2,X1) = X3
& X0 != X1 )
=> 'a$uselect2'('tptp$uupdate2'(X2,X0,X4),X1) = X3 ) ).
fof(quaternion_ds1_inuse_0014,conjecture,
( ( 'a$uselect2'('xinit$udefuse',n5) = use
& 'a$uselect2'('xinit$udefuse',n4) = use
& 'a$uselect2'('xinit$udefuse',n3) = use
& 'a$uselect3'('u$udefuse',n2,n0) = use
& 'a$uselect3'('u$udefuse',n1,n0) = use
& 'a$uselect3'('u$udefuse',n0,n0) = use
& 'a$uselect2'('sigma$udefuse',n5) = use
& 'a$uselect2'('sigma$udefuse',n4) = use
& 'a$uselect2'('sigma$udefuse',n3) = use
& 'a$uselect2'('sigma$udefuse',n2) = use
& 'a$uselect2'('sigma$udefuse',n1) = use
& 'a$uselect2'('sigma$udefuse',n0) = use )
=> ( 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n2) = use
& 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) = use
& 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) = use
& 'a$uselect2'('xinit$udefuse',n5) = use
& 'a$uselect2'('xinit$udefuse',n4) = use
& 'a$uselect2'('xinit$udefuse',n3) = use
& 'a$uselect3'('u$udefuse',n2,n0) = use
& 'a$uselect3'('u$udefuse',n1,n0) = use
& 'a$uselect3'('u$udefuse',n0,n0) = use
& 'a$uselect2'('sigma$udefuse',n5) = use
& 'a$uselect2'('sigma$udefuse',n4) = use
& 'a$uselect2'('sigma$udefuse',n3) = use
& 'a$uselect2'('sigma$udefuse',n2) = use
& 'a$uselect2'('sigma$udefuse',n1) = use
& 'a$uselect2'('sigma$udefuse',n0) = use ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( 'a$uselect2'('xinit$udefuse',n5) = use
& 'a$uselect2'('xinit$udefuse',n4) = use
& 'a$uselect2'('xinit$udefuse',n3) = use
& 'a$uselect3'('u$udefuse',n2,n0) = use
& 'a$uselect3'('u$udefuse',n1,n0) = use
& 'a$uselect3'('u$udefuse',n0,n0) = use
& 'a$uselect2'('sigma$udefuse',n5) = use
& 'a$uselect2'('sigma$udefuse',n4) = use
& 'a$uselect2'('sigma$udefuse',n3) = use
& 'a$uselect2'('sigma$udefuse',n2) = use
& 'a$uselect2'('sigma$udefuse',n1) = use
& 'a$uselect2'('sigma$udefuse',n0) = use )
=> ( 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n2) = use
& 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) = use
& 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) = use
& 'a$uselect2'('xinit$udefuse',n5) = use
& 'a$uselect2'('xinit$udefuse',n4) = use
& 'a$uselect2'('xinit$udefuse',n3) = use
& 'a$uselect3'('u$udefuse',n2,n0) = use
& 'a$uselect3'('u$udefuse',n1,n0) = use
& 'a$uselect3'('u$udefuse',n0,n0) = use
& 'a$uselect2'('sigma$udefuse',n5) = use
& 'a$uselect2'('sigma$udefuse',n4) = use
& 'a$uselect2'('sigma$udefuse',n3) = use
& 'a$uselect2'('sigma$udefuse',n2) = use
& 'a$uselect2'('sigma$udefuse',n1) = use
& 'a$uselect2'('sigma$udefuse',n0) = use ) ),
inference(negate_conjecture,[status(cth)],[quaternion_ds1_inuse_0014]) ).
cnf(c8,plain,
gt(n5,n0),
inference(clausification,[status(esa)],[gt_5_0]) ).
cnf(c14,plain,
gt(n2,n1),
inference(clausification,[status(esa)],[gt_2_1]) ).
cnf(c23,plain,
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(clausification,[status(esa)],[finite_domain_0]) ).
cnf(c29,plain,
succ(n0) = n1,
inference(clausification,[status(esa)],[successor_1]) ).
cnf(c30,plain,
succ(succ(n0)) = n2,
inference(clausification,[status(esa)],[successor_2]) ).
cnf(c34,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[irreflexivity_gt]) ).
cnf(c35,plain,
leq(X0,X0),
inference(clausification,[status(esa)],[reflexivity_leq]) ).
cnf(c41,plain,
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[leq_gt1]) ).
cnf(c47,plain,
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_succ_gt_equiv]) ).
cnf(c49,plain,
( leq('uniform$uint$urnd'(X1,X0),X0)
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[uniform_int_rand_ranges_hi]) ).
cnf(c50,plain,
( leq(n0,'uniform$uint$urnd'(X1,X0))
| ~ leq(n0,X0) ),
inference(clausification,[status(esa)],[uniform_int_rand_ranges_lo]) ).
cnf(c51,plain,
( 'a$uselect2'('tptp$uconst$uarray1'(dim(X2,X1),X3),X0) = X3
| ~ leq(X2,X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[const_array1_select]) ).
cnf(c149,plain,
'a$uselect2'('tptp$uupdate2'(X0,X1,X2),X1) = X2,
inference(clausification,[status(esa)],[sel2_update_1]) ).
cnf(c150,plain,
( 'a$uselect2'('tptp$uupdate2'(X0,X3,X4),X1) = X2
| X1 = X3
| 'a$uselect2'(X0,X1) != X2 ),
inference(clausification,[status(esa)],[sel2_update_2]) ).
cnf(c156,plain,
'a$uselect2'('sigma$udefuse',n1) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c157,plain,
'a$uselect2'('sigma$udefuse',n3) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c158,plain,
'a$uselect2'('sigma$udefuse',n5) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c159,plain,
'a$uselect3'('u$udefuse',n1,n0) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c160,plain,
'a$uselect2'('xinit$udefuse',n3) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c161,plain,
'a$uselect2'('xinit$udefuse',n5) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c162,plain,
'a$uselect2'('xinit$udefuse',n4) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c163,plain,
'a$uselect3'('u$udefuse',n2,n0) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c164,plain,
'a$uselect3'('u$udefuse',n0,n0) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
'a$uselect2'('sigma$udefuse',n4) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c166,plain,
'a$uselect2'('sigma$udefuse',n2) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c167,plain,
'a$uselect2'('sigma$udefuse',n0) = use,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c168,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect2'('xinit$udefuse',n5) != use
| 'a$uselect2'('sigma$udefuse',n4) != use
| 'a$uselect2'('xinit$udefuse',n3) != use
| 'a$uselect2'('sigma$udefuse',n0) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n2) != use
| 'a$uselect2'('sigma$udefuse',n5) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect2'('xinit$udefuse',n4) != use
| 'a$uselect2'('sigma$udefuse',n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use
| 'a$uselect2'('sigma$udefuse',n2) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('sigma$udefuse',n3) != use ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
leq(n1,n2),
inference(resolution,[status(thm)],[c41,c14]) ).
cnf(d1,plain,
~ leq(succ(X0),X0),
inference(resolution,[status(thm)],[c47,c34]) ).
cnf(d2,plain,
succ(n1) = n2,
inference(demodulation,[status(thm)],[c30,c29]) ).
cnf(d3,plain,
~ leq(n2,n1),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| 'a$uselect2'('xinit$udefuse',n3) != use
| 'a$uselect2'('xinit$udefuse',n4) != use
| 'a$uselect2'('xinit$udefuse',n5) != use
| 'a$uselect2'('sigma$udefuse',n3) != use
| 'a$uselect2'('sigma$udefuse',n2) != use
| 'a$uselect2'('sigma$udefuse',n1) != use
| 'a$uselect2'('sigma$udefuse',n0) != use
| 'a$uselect2'('sigma$udefuse',n4) != use
| 'a$uselect2'('sigma$udefuse',n5) != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[c168,c149]) ).
cnf(d5,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| 'a$uselect2'('xinit$udefuse',n3) != use
| 'a$uselect2'('xinit$udefuse',n4) != use
| 'a$uselect2'('xinit$udefuse',n5) != use
| 'a$uselect2'('sigma$udefuse',n3) != use
| 'a$uselect2'('sigma$udefuse',n2) != use
| 'a$uselect2'('sigma$udefuse',n1) != use
| 'a$uselect2'('sigma$udefuse',n0) != use
| 'a$uselect2'('sigma$udefuse',n4) != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d4,c158]) ).
cnf(d6,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| 'a$uselect2'('xinit$udefuse',n3) != use
| 'a$uselect2'('xinit$udefuse',n4) != use
| 'a$uselect2'('xinit$udefuse',n5) != use
| 'a$uselect2'('sigma$udefuse',n3) != use
| 'a$uselect2'('sigma$udefuse',n2) != use
| 'a$uselect2'('sigma$udefuse',n1) != use
| 'a$uselect2'('sigma$udefuse',n0) != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d5,c165]) ).
cnf(d7,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| 'a$uselect2'('xinit$udefuse',n3) != use
| 'a$uselect2'('xinit$udefuse',n4) != use
| 'a$uselect2'('xinit$udefuse',n5) != use
| 'a$uselect2'('sigma$udefuse',n3) != use
| 'a$uselect2'('sigma$udefuse',n2) != use
| 'a$uselect2'('sigma$udefuse',n1) != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d6,c167]) ).
cnf(d8,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| 'a$uselect2'('xinit$udefuse',n3) != use
| 'a$uselect2'('xinit$udefuse',n4) != use
| 'a$uselect2'('xinit$udefuse',n5) != use
| 'a$uselect2'('sigma$udefuse',n3) != use
| 'a$uselect2'('sigma$udefuse',n2) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d7,c156]) ).
cnf(d9,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| 'a$uselect2'('xinit$udefuse',n3) != use
| 'a$uselect2'('xinit$udefuse',n4) != use
| 'a$uselect2'('xinit$udefuse',n5) != use
| 'a$uselect2'('sigma$udefuse',n3) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d8,c166]) ).
cnf(d10,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| 'a$uselect2'('xinit$udefuse',n3) != use
| 'a$uselect2'('xinit$udefuse',n4) != use
| 'a$uselect2'('xinit$udefuse',n5) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d9,c157]) ).
cnf(d11,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| 'a$uselect2'('xinit$udefuse',n3) != use
| 'a$uselect2'('xinit$udefuse',n4) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d10,c161]) ).
cnf(d12,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| 'a$uselect2'('xinit$udefuse',n3) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d11,c162]) ).
cnf(d13,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| 'a$uselect3'('u$udefuse',n0,n0) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d12,c160]) ).
cnf(d14,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| 'a$uselect3'('u$udefuse',n1,n0) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d13,c164]) ).
cnf(d15,plain,
( 'a$uselect3'('u$udefuse',n2,n0) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d14,c159]) ).
cnf(d16,plain,
( use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n1) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use ),
inference(demodulation,[status(thm)],[d15,c163]) ).
cnf(d17,plain,
( 'a$uselect2'('tptp$uupdate2'(X2,X1,X3),X0) = 'a$uselect2'(X2,X0)
| X0 = X1 ),
inference(equality_resolution,[status(thm)],[c150]) ).
cnf(d18,plain,
( n1 = n2
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n1) != use ),
inference(superposition,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
( use != use
| use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use
| n1 = n2 ),
inference(demodulation,[status(thm)],[d18,c149]) ).
cnf(d20,plain,
leq(n0,n5),
inference(resolution,[status(thm)],[c41,c8]) ).
cnf(d21,plain,
( ~ leq(X0,n0)
| 'a$uselect2'('tptp$uconst$uarray1'(dim(X0,n5),X1),n0) = X1 ),
inference(resolution,[status(thm)],[c51,d20]) ).
cnf(d22,plain,
'a$uselect2'('tptp$uconst$uarray1'(dim(n0,n5),X0),n0) = X0,
inference(resolution,[status(thm)],[d21,c35]) ).
cnf(d23,plain,
( ~ leq('uniform$uint$urnd'(X1,X0),n0)
| 'uniform$uint$urnd'(X1,X0) = n0
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[c50,c23]) ).
cnf(d24,plain,
( ~ leq(n0,n0)
| ~ leq(n0,n0)
| 'uniform$uint$urnd'(X0,n0) = n0 ),
inference(resolution,[status(thm)],[d23,c49]) ).
cnf(d25,plain,
'uniform$uint$urnd'(X0,n0) = n0,
inference(resolution,[status(thm)],[c35,d24]) ).
cnf(d26,plain,
( ~ leq(n0,n0)
| 'a$uselect2'('tptp$uconst$uarray1'(dim('uniform$uint$urnd'(X0,n0),n5),X1),n0) = X1 ),
inference(resolution,[status(thm)],[d21,c49]) ).
cnf(d27,plain,
( ~ leq(n0,n0)
| 'a$uselect2'('tptp$uconst$uarray1'(dim(n0,n5),X1),n0) = X1 ),
inference(demodulation,[status(thm)],[d26,d25]) ).
cnf(d28,plain,
( ~ leq(n0,n0)
| X0 = X0 ),
inference(demodulation,[status(thm)],[d27,d22]) ).
cnf(d29,plain,
X0 = X0,
inference(resolution,[status(thm)],[c35,d28]) ).
cnf(d30,plain,
( use != use
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n2,use),n0) != use
| n1 = n2 ),
inference(resolution,[status(thm)],[d29,d19]) ).
cnf(d31,plain,
( n0 = n2
| use != use
| n1 = n2
| 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n0) != use ),
inference(superposition,[status(thm)],[d17,d30]) ).
cnf(d32,plain,
( 'a$uselect2'('tptp$uupdate2'('tptp$uupdate2'('rho$udefuse',n0,use),n1,use),n0) != use
| n1 = n2
| n0 = n2 ),
inference(resolution,[status(thm)],[d29,d31]) ).
cnf(d33,plain,
( n0 = n1
| n1 = n2
| n0 = n2
| 'a$uselect2'('tptp$uupdate2'('rho$udefuse',n0,use),n0) != use ),
inference(superposition,[status(thm)],[d17,d32]) ).
cnf(d34,plain,
( use != use
| n1 = n2
| n0 = n2
| n0 = n1 ),
inference(demodulation,[status(thm)],[d33,c149]) ).
cnf(d35,plain,
( n1 = n2
| n0 = n2
| n0 = n1 ),
inference(resolution,[status(thm)],[d29,d34]) ).
cnf(d36,plain,
( n0 = n2
| n0 = n1
| ~ leq(n1,n1) ),
inference(superposition,[status(thm)],[d35,d3]) ).
cnf(d37,plain,
( n0 = n2
| n0 = n1 ),
inference(resolution,[status(thm)],[c35,d36]) ).
cnf(d38,plain,
( n0 = n1
| leq(n1,n0) ),
inference(superposition,[status(thm)],[d37,d0]) ).
cnf(d39,plain,
~ leq(n1,n0),
inference(superposition,[status(thm)],[c29,d1]) ).
cnf(d40,plain,
n0 = n1,
inference(resolution,[status(thm)],[d39,d38]) ).
cnf(d41,plain,
~ leq(n0,n0),
inference(demodulation,[status(thm)],[d39,d40]) ).
cnf(d42,plain,
$false,
inference(resolution,[status(thm)],[c35,d41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV102+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 13:12:21 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 119.45/26.17 % SZS status Theorem for theBenchmark.p
% 119.45/26.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------