%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV029-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 07:32:59 AM UTC 2026
% Result : Unsatisfiable 55.21s 26.46s
% Output : CNFRefutation 55.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 25
% Syntax : Number of clauses : 131 ( 32 unt; 59 nHn; 109 RR)
% Number of literals : 349 ( 64 equ; 146 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 112 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
~ gt(level('x$u139'),'fifo$ulength') ).
cnf(quest_2,negated_conjecture,
gt(level(plus('x$u139',n1)),'fifo$ulength') ).
cnf(quest_3,negated_conjecture,
gt('fifo$ulength',n0) ).
cnf(axiom_1,axiom,
plus(X0,n1) != n0 ).
cnf(axiom_2,axiom,
gt(plus(X0,n1),n0) ).
cnf(axiom_3,axiom,
( gt(X0,minus(X0,n1))
| ~ gt(X0,n0) ) ).
cnf(axiom_8,axiom,
( gt(plus(X0,n1),plus(X1,n1))
| ~ gt(X0,X1) ) ).
cnf(axiom_9,axiom,
( ~ gt(plus(X0,n1),plus(X1,n1))
| gt(X0,X1) ) ).
cnf(axiom_10,axiom,
( X1 = X0
| ~ gt(plus(X0,n1),X1)
| gt(X0,X1) ) ).
cnf(axiom_13,axiom,
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ) ).
cnf(axiom_14,axiom,
( gt(X0,plus(X1,n1))
| plus(X1,n1) = X0
| ~ gt(X0,X1) ) ).
cnf(axiom_15,axiom,
( gt(X0,n0)
| X0 = n0 ) ).
cnf(axiom_16,axiom,
( X0 = plus('y$u27'(X0),n1)
| X0 = n0 ) ).
cnf(axiom_17,axiom,
~ gt(X0,X0) ).
cnf(axiom_18,axiom,
( X0 = X1
| plus(X0,n1) != plus(X1,n1) ) ).
cnf(axiom_19,axiom,
plus(n0,X0) = X0 ).
cnf(axiom_21,axiom,
level(X0) = 'int$ulevel'(X0) ).
cnf(axiom_26,axiom,
( 'int$ulevel'(plus(X0,n1)) = n0
| ~ 'p$uReset'(X0) ) ).
cnf(axiom_35,axiom,
( 'int$ulevel'(plus(X0,n1)) = plus('int$ulevel'(X0),n1)
| ~ gt('fifo$ulength','int$ulevel'(X0))
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_44,axiom,
( 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0)
| gt('fifo$ulength','int$ulevel'(X0))
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_53,axiom,
( 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0)
| ~ gt('int$ulevel'(X0),n0)
| ~ 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_59,axiom,
( 'int$ulevel'(plus(X0,n1)) = plus('int$ulevel'(X0),n1)
| gt('int$ulevel'(X0),n0)
| ~ 'p$uRd'(X0)
| ~ 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_71,axiom,
( 'int$ulevel'(plus(X0,n1)) = minus('int$ulevel'(X0),n1)
| ~ gt('int$ulevel'(X0),n0)
| ~ 'p$uRd'(X0)
| 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_78,axiom,
( 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0)
| gt('int$ulevel'(X0),n0)
| ~ 'p$uRd'(X0)
| 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(axiom_82,axiom,
( 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0)
| 'p$uRd'(X0)
| 'p$uWr'(X0)
| 'p$uReset'(X0) ) ).
cnf(c0,plain,
~ gt(level('x$u139'),'fifo$ulength'),
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
gt(level(plus('x$u139',n1)),'fifo$ulength'),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c2,plain,
gt('fifo$ulength',n0),
inference(clausification,[status(esa)],[quest_3]) ).
cnf(c3,plain,
plus(X0,n1) != n0,
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c4,plain,
gt(plus(X0,n1),n0),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c5,plain,
( gt(X0,minus(X0,n1))
| ~ gt(X0,n0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c10,plain,
( gt(plus(X0,n1),plus(X1,n1))
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c11,plain,
( ~ gt(plus(X0,n1),plus(X1,n1))
| gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_9]) ).
cnf(c12,plain,
( X1 = X0
| ~ gt(plus(X0,n1),X1)
| gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_10]) ).
cnf(c15,plain,
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_13]) ).
cnf(c16,plain,
( gt(X0,plus(X1,n1))
| plus(X1,n1) = X0
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c17,plain,
( gt(X0,n0)
| X0 = n0 ),
inference(clausification,[status(esa)],[axiom_15]) ).
cnf(c18,plain,
( X0 = plus('y$u27'(X0),n1)
| X0 = n0 ),
inference(clausification,[status(esa)],[axiom_16]) ).
cnf(c19,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[axiom_17]) ).
cnf(c20,plain,
( X0 = X1
| plus(X0,n1) != plus(X1,n1) ),
inference(clausification,[status(esa)],[axiom_18]) ).
cnf(c21,plain,
plus(n0,X0) = X0,
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c23,plain,
level(X0) = 'int$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c28,plain,
( 'int$ulevel'(plus(X0,n1)) = n0
| ~ 'p$uReset'(X0) ),
inference(clausification,[status(esa)],[axiom_26]) ).
cnf(c37,plain,
( ~ gt('fifo$ulength','int$ulevel'(X0))
| 'int$ulevel'(plus(X0,n1)) = plus('int$ulevel'(X0),n1)
| 'p$uReset'(X0)
| 'p$uRd'(X0)
| ~ 'p$uWr'(X0) ),
inference(clausification,[status(esa)],[axiom_35]) ).
cnf(c46,plain,
( ~ 'p$uWr'(X0)
| gt('fifo$ulength','int$ulevel'(X0))
| 'p$uReset'(X0)
| 'p$uRd'(X0)
| 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0) ),
inference(clausification,[status(esa)],[axiom_44]) ).
cnf(c55,plain,
( 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0)
| ~ gt('int$ulevel'(X0),n0)
| 'p$uReset'(X0)
| ~ 'p$uRd'(X0)
| ~ 'p$uWr'(X0) ),
inference(clausification,[status(esa)],[axiom_53]) ).
cnf(c61,plain,
( 'p$uReset'(X0)
| ~ 'p$uWr'(X0)
| gt('int$ulevel'(X0),n0)
| 'int$ulevel'(plus(X0,n1)) = plus('int$ulevel'(X0),n1)
| ~ 'p$uRd'(X0) ),
inference(clausification,[status(esa)],[axiom_59]) ).
cnf(c73,plain,
( 'p$uReset'(X0)
| 'int$ulevel'(plus(X0,n1)) = minus('int$ulevel'(X0),n1)
| 'p$uWr'(X0)
| ~ gt('int$ulevel'(X0),n0)
| ~ 'p$uRd'(X0) ),
inference(clausification,[status(esa)],[axiom_71]) ).
cnf(c80,plain,
( 'p$uReset'(X0)
| ~ 'p$uRd'(X0)
| gt('int$ulevel'(X0),n0)
| 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0)
| 'p$uWr'(X0) ),
inference(clausification,[status(esa)],[axiom_78]) ).
cnf(c84,plain,
( 'int$ulevel'(plus(X0,n1)) = 'int$ulevel'(X0)
| 'p$uRd'(X0)
| 'p$uWr'(X0)
| 'p$uReset'(X0) ),
inference(clausification,[status(esa)],[axiom_82]) ).
cnf(d0,plain,
gt('int$ulevel'(plus('x$u139',n1)),'fifo$ulength'),
inference(demodulation,[status(thm)],[c1,c23]) ).
cnf(d1,plain,
( 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| 'p$uReset'('x$u139')
| gt('fifo$ulength','int$ulevel'('x$u139'))
| gt('int$ulevel'('x$u139'),'fifo$ulength') ),
inference(superposition,[status(thm)],[c46,d0]) ).
cnf(d2,plain,
~ gt('int$ulevel'('x$u139'),'fifo$ulength'),
inference(demodulation,[status(thm)],[c0,c23]) ).
cnf(d3,plain,
( 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| 'p$uReset'('x$u139')
| gt('fifo$ulength','int$ulevel'('x$u139')) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ 'p$uReset'('x$u139')
| gt(n0,'fifo$ulength') ),
inference(superposition,[status(thm)],[c28,d0]) ).
cnf(d5,plain,
( gt('fifo$ulength',X0)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[c15,c2]) ).
cnf(d6,plain,
( ~ 'p$uReset'('x$u139')
| gt('fifo$ulength','fifo$ulength') ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
~ 'p$uReset'('x$u139'),
inference(resolution,[status(thm)],[c19,d6]) ).
cnf(d8,plain,
( 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| gt('fifo$ulength','int$ulevel'('x$u139')) ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
( 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| 'p$uReset'('x$u139')
| ~ gt('fifo$ulength','int$ulevel'('x$u139'))
| gt(plus('int$ulevel'('x$u139'),n1),'fifo$ulength') ),
inference(superposition,[status(thm)],[c37,d0]) ).
cnf(d10,plain,
( 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| gt(plus('int$ulevel'('x$u139'),n1),'fifo$ulength')
| ~ gt('fifo$ulength','int$ulevel'('x$u139')) ),
inference(resolution,[status(thm)],[d7,d9]) ).
cnf(d11,plain,
( X0 = n0
| 'y$u27'(X0) = X1
| X0 != plus(X1,n1) ),
inference(superposition,[status(thm)],[c18,c20]) ).
cnf(d12,plain,
( 'y$u27'(plus(X0,n1)) = X0
| plus(X0,n1) = n0 ),
inference(equality_resolution,[status(thm)],[d11]) ).
cnf(d13,plain,
'y$u27'(plus(X0,n1)) = X0,
inference(resolution,[status(thm)],[c3,d12]) ).
cnf(d14,plain,
( X0 = n0
| ~ gt(X1,'y$u27'(X0))
| gt(plus(X1,n1),X0) ),
inference(superposition,[status(thm)],[c18,c10]) ).
cnf(d15,plain,
( ~ gt(X0,'y$u27'(plus(X0,n1)))
| plus(X0,n1) = n0 ),
inference(resolution,[status(thm)],[d14,c19]) ).
cnf(d16,plain,
~ gt(X0,'y$u27'(plus(X0,n1))),
inference(resolution,[status(thm)],[c3,d15]) ).
cnf(d17,plain,
( gt(X1,X0)
| ~ gt(plus(X1,n1),X0)
| plus(X0,n1) = plus(X1,n1) ),
inference(resolution,[status(thm)],[c16,c11]) ).
cnf(d18,plain,
( ~ gt(plus(X1,n1),X0)
| gt(X1,X0)
| ~ gt(X0,'y$u27'(plus(X1,n1))) ),
inference(superposition,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
( ~ gt(plus(X0,n1),X1)
| ~ gt(X1,X0)
| gt(X0,X1) ),
inference(demodulation,[status(thm)],[d18,d13]) ).
cnf(d20,plain,
( 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| ~ gt('fifo$ulength','int$ulevel'('x$u139'))
| ~ gt('fifo$ulength','int$ulevel'('x$u139'))
| gt('int$ulevel'('x$u139'),'fifo$ulength') ),
inference(resolution,[status(thm)],[d19,d10]) ).
cnf(d21,plain,
( 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| ~ gt('fifo$ulength','int$ulevel'('x$u139')) ),
inference(resolution,[status(thm)],[d2,d20]) ).
cnf(d22,plain,
( 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139') ),
inference(resolution,[status(thm)],[d21,d8]) ).
cnf(d23,plain,
( 'p$uRd'('x$u139')
| 'p$uWr'('x$u139')
| 'p$uReset'('x$u139')
| gt('int$ulevel'('x$u139'),'fifo$ulength') ),
inference(superposition,[status(thm)],[c84,d0]) ).
cnf(d24,plain,
( 'p$uRd'('x$u139')
| 'p$uWr'('x$u139')
| 'p$uReset'('x$u139') ),
inference(resolution,[status(thm)],[d2,d23]) ).
cnf(d25,plain,
( 'p$uRd'('x$u139')
| 'p$uWr'('x$u139') ),
inference(resolution,[status(thm)],[d7,d24]) ).
cnf(d26,plain,
( gt(X0,n0)
| ~ gt(plus(X0,n1),n1) ),
inference(superposition,[status(thm)],[c21,c11]) ).
cnf(d27,plain,
( ~ gt(X0,n0)
| gt(plus(X0,n1),n1) ),
inference(superposition,[status(thm)],[c21,c10]) ).
cnf(d28,plain,
( ~ gt(X0,n0)
| gt(X0,n1)
| n1 = X0 ),
inference(resolution,[status(thm)],[c12,d27]) ).
cnf(d29,plain,
( gt(plus(X0,n1),n1)
| n1 = plus(X0,n1) ),
inference(resolution,[status(thm)],[d28,c4]) ).
cnf(d30,plain,
( gt(X0,n0)
| n1 = plus(X0,n1) ),
inference(resolution,[status(thm)],[d29,d26]) ).
cnf(d31,plain,
( gt(X0,n0)
| ~ gt(X0,X1)
| gt(n1,plus(X1,n1)) ),
inference(superposition,[status(thm)],[d30,c10]) ).
cnf(d32,plain,
( gt(n0,X0)
| ~ gt(n1,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c21,c11]) ).
cnf(d33,plain,
( gt(plus(X1,n1),X0)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[c15,c4]) ).
cnf(d34,plain,
~ gt(n0,plus(X0,n1)),
inference(resolution,[status(thm)],[d33,c19]) ).
cnf(d35,plain,
( ~ gt(n0,X0)
| plus(X0,n1) = n0 ),
inference(resolution,[status(thm)],[c16,d34]) ).
cnf(d36,plain,
~ gt(n0,X0),
inference(resolution,[status(thm)],[c3,d35]) ).
cnf(d37,plain,
~ gt(n1,plus(X0,n1)),
inference(resolution,[status(thm)],[d36,d32]) ).
cnf(d38,plain,
( gt(X0,n0)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[d37,d31]) ).
cnf(d39,plain,
gt('int$ulevel'(plus('x$u139',n1)),n0),
inference(resolution,[status(thm)],[d38,d0]) ).
cnf(d40,plain,
( ~ 'p$uRd'('x$u139')
| 'p$uWr'('x$u139')
| 'p$uReset'('x$u139')
| gt('int$ulevel'('x$u139'),n0)
| gt('int$ulevel'('x$u139'),n0) ),
inference(superposition,[status(thm)],[c80,d39]) ).
cnf(d41,plain,
( ~ 'p$uRd'('x$u139')
| 'p$uWr'('x$u139')
| gt('int$ulevel'('x$u139'),n0) ),
inference(resolution,[status(thm)],[d7,d40]) ).
cnf(d42,plain,
( ~ gt(X0,n0)
| gt(X0,X1)
| ~ gt(minus(X0,n1),X1) ),
inference(resolution,[status(thm)],[c15,c5]) ).
cnf(d43,plain,
( ~ 'p$uRd'(X0)
| 'p$uWr'(X0)
| 'p$uReset'(X0)
| ~ gt('int$ulevel'(X0),n0)
| ~ gt('int$ulevel'(X0),n0)
| gt('int$ulevel'(X0),X1)
| ~ gt('int$ulevel'(plus(X0,n1)),X1) ),
inference(superposition,[status(thm)],[c73,d42]) ).
cnf(d44,plain,
( ~ 'p$uRd'('x$u139')
| 'p$uWr'('x$u139')
| 'p$uReset'('x$u139')
| ~ gt('int$ulevel'('x$u139'),n0)
| gt('int$ulevel'('x$u139'),'fifo$ulength') ),
inference(resolution,[status(thm)],[d43,d0]) ).
cnf(d45,plain,
( ~ 'p$uRd'('x$u139')
| 'p$uWr'('x$u139')
| 'p$uReset'('x$u139')
| ~ gt('int$ulevel'('x$u139'),n0) ),
inference(resolution,[status(thm)],[d2,d44]) ).
cnf(d46,plain,
( ~ 'p$uRd'('x$u139')
| 'p$uWr'('x$u139')
| ~ gt('int$ulevel'('x$u139'),n0) ),
inference(resolution,[status(thm)],[d7,d45]) ).
cnf(d47,plain,
( ~ 'p$uRd'('x$u139')
| 'p$uWr'('x$u139')
| ~ 'p$uRd'('x$u139')
| 'p$uWr'('x$u139') ),
inference(resolution,[status(thm)],[d46,d41]) ).
cnf(d48,plain,
( 'p$uWr'('x$u139')
| 'p$uWr'('x$u139') ),
inference(resolution,[status(thm)],[d47,d25]) ).
cnf(d49,plain,
'p$uRd'('x$u139'),
inference(resolution,[status(thm)],[d48,d22]) ).
cnf(d50,plain,
( ~ gt(n1,X0)
| plus(X0,n1) = n1 ),
inference(resolution,[status(thm)],[d37,c16]) ).
cnf(d51,plain,
( ~ gt(n1,X0)
| ~ gt(X0,X1)
| gt(n1,plus(X1,n1)) ),
inference(superposition,[status(thm)],[d50,c10]) ).
cnf(d52,plain,
( ~ gt(n1,X0)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[d37,d51]) ).
cnf(d53,plain,
( gt(X0,n0)
| gt(X1,X0)
| ~ gt(plus(X1,n1),n1) ),
inference(superposition,[status(thm)],[d30,c11]) ).
cnf(d54,plain,
( ~ gt(X0,n0)
| gt(X1,n0)
| gt(X0,X1) ),
inference(resolution,[status(thm)],[d53,d27]) ).
cnf(d55,plain,
( X1 = n0
| gt(X1,X0)
| gt(X0,n0) ),
inference(resolution,[status(thm)],[d54,c17]) ).
cnf(d56,plain,
( ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| 'p$uReset'('x$u139')
| ~ gt('int$ulevel'('x$u139'),n0)
| gt('int$ulevel'('x$u139'),'fifo$ulength') ),
inference(superposition,[status(thm)],[c55,d0]) ).
cnf(d57,plain,
( ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| 'p$uReset'('x$u139')
| ~ gt('int$ulevel'('x$u139'),n0) ),
inference(resolution,[status(thm)],[d2,d56]) ).
cnf(d58,plain,
( ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| ~ gt('int$ulevel'('x$u139'),n0) ),
inference(resolution,[status(thm)],[d7,d57]) ).
cnf(d59,plain,
( gt(X0,'int$ulevel'('x$u139'))
| X0 = n0
| ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139') ),
inference(resolution,[status(thm)],[d58,d55]) ).
cnf(d60,plain,
( ~ gt('int$ulevel'('x$u139'),X0)
| ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| n1 = n0 ),
inference(resolution,[status(thm)],[d59,d52]) ).
cnf(d61,plain,
n1 != n0,
inference(superposition,[status(thm)],[c21,c3]) ).
cnf(d62,plain,
( ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| ~ gt('int$ulevel'('x$u139'),X0) ),
inference(resolution,[status(thm)],[d61,d60]) ).
cnf(d63,plain,
( ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| 'p$uReset'('x$u139')
| gt('int$ulevel'('x$u139'),n0)
| gt(plus('int$ulevel'('x$u139'),n1),'fifo$ulength') ),
inference(superposition,[status(thm)],[c61,d0]) ).
cnf(d64,plain,
( ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| gt('int$ulevel'('x$u139'),n0)
| gt(plus('int$ulevel'('x$u139'),n1),'fifo$ulength') ),
inference(resolution,[status(thm)],[d7,d63]) ).
cnf(d65,plain,
( gt('int$ulevel'('x$u139'),n0)
| ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| gt('int$ulevel'('x$u139'),n0)
| gt(n1,'fifo$ulength') ),
inference(superposition,[status(thm)],[d30,d64]) ).
cnf(d66,plain,
( n0 = X0
| n1 != plus(X0,n1) ),
inference(superposition,[status(thm)],[c21,c20]) ).
cnf(d67,plain,
( X0 = n0
| n0 = 'y$u27'(X0)
| n1 != X0 ),
inference(superposition,[status(thm)],[c18,d66]) ).
cnf(d68,plain,
( n0 = 'y$u27'(n1)
| n1 = n0 ),
inference(equality_resolution,[status(thm)],[d67]) ).
cnf(d69,plain,
n0 = 'y$u27'(n1),
inference(resolution,[status(thm)],[d61,d68]) ).
cnf(d70,plain,
( gt('fifo$ulength',X0)
| gt(X0,n0) ),
inference(resolution,[status(thm)],[d54,c2]) ).
cnf(d71,plain,
gt('y$u27'(plus('fifo$ulength',n1)),n0),
inference(resolution,[status(thm)],[d16,d70]) ).
cnf(d72,plain,
( ~ gt(n1,X0)
| n1 = plus(X0,n1)
| gt(n1,n1) ),
inference(superposition,[status(thm)],[d50,d29]) ).
cnf(d73,plain,
( ~ gt(n1,X0)
| n1 = plus(X0,n1) ),
inference(resolution,[status(thm)],[c19,d72]) ).
cnf(d74,plain,
( ~ gt(n1,'fifo$ulength')
| gt('y$u27'(n1),n0) ),
inference(superposition,[status(thm)],[d73,d71]) ).
cnf(d75,plain,
( gt(n0,n0)
| ~ gt(n1,'fifo$ulength') ),
inference(demodulation,[status(thm)],[d74,d69]) ).
cnf(d76,plain,
~ gt(n1,'fifo$ulength'),
inference(resolution,[status(thm)],[c19,d75]) ).
cnf(d77,plain,
( ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| gt('int$ulevel'('x$u139'),n0) ),
inference(resolution,[status(thm)],[d76,d65]) ).
cnf(d78,plain,
( ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139')
| ~ 'p$uRd'('x$u139')
| ~ 'p$uWr'('x$u139') ),
inference(resolution,[status(thm)],[d77,d62]) ).
cnf(d79,plain,
~ 'p$uRd'('x$u139'),
inference(resolution,[status(thm)],[d48,d78]) ).
cnf(d80,plain,
$false,
inference(resolution,[status(thm)],[d79,d49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV029-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.36 % Computer : n001.cluster.edu
% 0.03/0.36 % Model : x86_64 x86_64
% 0.03/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.36 % Memory : 8046.5625MB
% 0.03/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Fri Sep 25 16:08:11 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.21/26.46 % SZS status Unsatisfiable for theBenchmark.p
% 55.21/26.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------