%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV022-1 : 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 : n011.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 07:32:57 AM UTC 2026
% Result : Unsatisfiable 37.88s 14.75s
% Output : CNFRefutation 37.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 24
% Syntax : Number of clauses : 100 ( 35 unt; 29 nHn; 83 RR)
% Number of literals : 205 ( 60 equ; 99 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 94 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
plus(level('t$u139'),n1) = 'fifo$ulength' ).
cnf(quest_2,negated_conjecture,
~ 'p$uRd'('t$u139') ).
cnf(quest_3,negated_conjecture,
'p$uWr'('t$u139') ).
cnf(quest_4,negated_conjecture,
~ 'p$uReset'('t$u139') ).
cnf(quest_5,negated_conjecture,
level(plus('t$u139',n1)) != 'fifo$ulength' ).
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_4,axiom,
( 'def$u10'(X1,X0)
| plus(X2,X1) = X0
| minus(X0,X1) != X2 ) ).
cnf(axiom_5,axiom,
( 'def$u10'(X1,X0)
| plus(X2,X1) != X0
| minus(X0,X1) = X2 ) ).
cnf(axiom_6,axiom,
( ~ gt(X1,X0)
| ~ 'def$u10'(X0,X1) ) ).
cnf(axiom_7,axiom,
( X1 != X0
| ~ 'def$u10'(X0,X1) ) ).
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_12,axiom,
( gt(X1,X0)
| X1 = X0
| 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_17,axiom,
~ gt(X0,X0) ).
cnf(axiom_19,axiom,
plus(n0,X0) = X0 ).
cnf(axiom_21,axiom,
level(X0) = 'int$ulevel'(X0) ).
cnf(axiom_24,axiom,
( 'p$uEmpty'(X0)
| 'int$ulevel'(X0) != n0 ) ).
cnf(axiom_25,axiom,
( ~ 'p$uEmpty'(X0)
| 'int$ulevel'(X0) = n0 ) ).
cnf(axiom_35,axiom,
( 'int$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(c0,plain,
plus(level('t$u139'),n1) = 'fifo$ulength',
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
~ 'p$uRd'('t$u139'),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c2,plain,
'p$uWr'('t$u139'),
inference(clausification,[status(esa)],[quest_3]) ).
cnf(c3,plain,
~ 'p$uReset'('t$u139'),
inference(clausification,[status(esa)],[quest_4]) ).
cnf(c4,plain,
level(plus('t$u139',n1)) != 'fifo$ulength',
inference(clausification,[status(esa)],[quest_5]) ).
cnf(c5,plain,
plus(X0,n1) != n0,
inference(clausification,[status(esa)],[axiom_1]) ).
cnf(c6,plain,
gt(plus(X0,n1),n0),
inference(clausification,[status(esa)],[axiom_2]) ).
cnf(c7,plain,
( gt(X0,minus(X0,n1))
| ~ gt(X0,n0) ),
inference(clausification,[status(esa)],[axiom_3]) ).
cnf(c8,plain,
( 'def$u10'(X1,X0)
| plus(X2,X1) = X0
| minus(X0,X1) != X2 ),
inference(clausification,[status(esa)],[axiom_4]) ).
cnf(c9,plain,
( 'def$u10'(X1,X0)
| plus(X2,X1) != X0
| minus(X0,X1) = X2 ),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c10,plain,
( ~ gt(X1,X0)
| ~ 'def$u10'(X0,X1) ),
inference(clausification,[status(esa)],[axiom_6]) ).
cnf(c11,plain,
( X1 != X0
| ~ 'def$u10'(X0,X1) ),
inference(clausification,[status(esa)],[axiom_7]) ).
cnf(c12,plain,
( gt(plus(X0,n1),plus(X1,n1))
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c13,plain,
( ~ gt(plus(X0,n1),plus(X1,n1))
| gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_9]) ).
cnf(c14,plain,
( X1 = X0
| ~ gt(plus(X0,n1),X1)
| gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_10]) ).
cnf(c16,plain,
( gt(X1,X0)
| X1 = X0
| gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_12]) ).
cnf(c17,plain,
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_13]) ).
cnf(c18,plain,
( gt(X0,plus(X1,n1))
| plus(X1,n1) = X0
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[axiom_14]) ).
cnf(c21,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[axiom_17]) ).
cnf(c23,plain,
plus(n0,X0) = X0,
inference(clausification,[status(esa)],[axiom_19]) ).
cnf(c25,plain,
level(X0) = 'int$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_21]) ).
cnf(c28,plain,
( 'p$uEmpty'(X0)
| 'int$ulevel'(X0) != n0 ),
inference(clausification,[status(esa)],[axiom_24]) ).
cnf(c29,plain,
( ~ 'p$uEmpty'(X0)
| 'int$ulevel'(X0) = n0 ),
inference(clausification,[status(esa)],[axiom_25]) ).
cnf(c39,plain,
( ~ gt('fifo$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(d0,plain,
plus('int$ulevel'('t$u139'),n1) = 'fifo$ulength',
inference(demodulation,[status(thm)],[c0,c25]) ).
cnf(d1,plain,
( 'def$u10'(n1,X0)
| minus(X0,n1) = 'int$ulevel'('t$u139')
| 'fifo$ulength' != X0 ),
inference(superposition,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
( 'def$u10'(n1,'fifo$ulength')
| minus('fifo$ulength',n1) = 'int$ulevel'('t$u139') ),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( 'def$u10'(n1,'fifo$ulength')
| ~ gt('fifo$ulength',n0)
| gt('fifo$ulength','int$ulevel'('t$u139')) ),
inference(superposition,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
gt('fifo$ulength',n0),
inference(superposition,[status(thm)],[c0,c6]) ).
cnf(d5,plain,
( 'def$u10'(n1,'fifo$ulength')
| gt('fifo$ulength','int$ulevel'('t$u139')) ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
'int$ulevel'(plus('t$u139',n1)) != 'fifo$ulength',
inference(demodulation,[status(thm)],[c4,c25]) ).
cnf(d7,plain,
( ~ gt('fifo$ulength','int$ulevel'('t$u139'))
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| 'p$uRd'('t$u139')
| plus('int$ulevel'('t$u139'),n1) != 'fifo$ulength' ),
inference(superposition,[status(thm)],[c39,d6]) ).
cnf(d8,plain,
( ~ gt('fifo$ulength','int$ulevel'('t$u139'))
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| 'p$uRd'('t$u139')
| 'fifo$ulength' != 'fifo$ulength' ),
inference(demodulation,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( ~ gt('fifo$ulength','int$ulevel'('t$u139'))
| 'p$uReset'('t$u139')
| ~ 'p$uWr'('t$u139')
| 'fifo$ulength' != 'fifo$ulength' ),
inference(resolution,[status(thm)],[c1,d8]) ).
cnf(d10,plain,
( ~ gt('fifo$ulength','int$ulevel'('t$u139'))
| 'p$uReset'('t$u139')
| 'fifo$ulength' != 'fifo$ulength' ),
inference(resolution,[status(thm)],[c2,d9]) ).
cnf(d11,plain,
( ~ gt('fifo$ulength','int$ulevel'('t$u139'))
| 'fifo$ulength' != 'fifo$ulength' ),
inference(resolution,[status(thm)],[c3,d10]) ).
cnf(d12,plain,
( 'def$u10'(X1,X0)
| plus(minus(X0,X1),X1) = X0 ),
inference(equality_resolution,[status(thm)],[c8]) ).
cnf(d13,plain,
( 'def$u10'(X0,X1)
| minus(X1,X0) = n0
| X0 != X1 ),
inference(superposition,[status(thm)],[c23,c9]) ).
cnf(d14,plain,
( 'def$u10'(X0,X0)
| minus(X0,X0) = n0 ),
inference(equality_resolution,[status(thm)],[d13]) ).
cnf(d15,plain,
~ 'def$u10'(X0,X0),
inference(equality_resolution,[status(thm)],[c11]) ).
cnf(d16,plain,
minus(X0,X0) = n0,
inference(resolution,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
( 'def$u10'(X0,X0)
| plus(n0,X0) = X0 ),
inference(superposition,[status(thm)],[d16,d12]) ).
cnf(d18,plain,
( 'def$u10'(X0,X0)
| X0 = X0 ),
inference(demodulation,[status(thm)],[d17,c23]) ).
cnf(d19,plain,
X0 = X0,
inference(resolution,[status(thm)],[d15,d18]) ).
cnf(d20,plain,
~ gt('fifo$ulength','int$ulevel'('t$u139')),
inference(resolution,[status(thm)],[d19,d11]) ).
cnf(d21,plain,
'def$u10'(n1,'fifo$ulength'),
inference(resolution,[status(thm)],[d20,d5]) ).
cnf(d22,plain,
~ gt('fifo$ulength',n1),
inference(resolution,[status(thm)],[d21,c10]) ).
cnf(d23,plain,
( gt(X0,n0)
| n0 = X0 ),
inference(resolution,[status(thm)],[c14,c6]) ).
cnf(d24,plain,
( ~ gt(X0,n0)
| gt(plus(X0,n1),n1) ),
inference(superposition,[status(thm)],[c23,c12]) ).
cnf(d25,plain,
( ~ gt('int$ulevel'('t$u139'),n0)
| gt('fifo$ulength',n1) ),
inference(superposition,[status(thm)],[d0,d24]) ).
cnf(d26,plain,
( n0 = 'int$ulevel'('t$u139')
| gt('fifo$ulength',n1) ),
inference(resolution,[status(thm)],[d25,d23]) ).
cnf(d27,plain,
( gt('fifo$ulength',n1)
| 'p$uEmpty'('t$u139')
| n0 != n0 ),
inference(superposition,[status(thm)],[d26,c28]) ).
cnf(d28,plain,
( 'p$uEmpty'('t$u139')
| gt('fifo$ulength',n1) ),
inference(equality_resolution,[status(thm)],[d27]) ).
cnf(d29,plain,
( ~ gt('int$ulevel'('t$u139'),X0)
| gt('fifo$ulength',plus(X0,n1)) ),
inference(superposition,[status(thm)],[d0,c12]) ).
cnf(d30,plain,
( ~ 'p$uEmpty'('t$u139')
| plus(n0,n1) = 'fifo$ulength' ),
inference(superposition,[status(thm)],[c29,d0]) ).
cnf(d31,plain,
( ~ 'p$uEmpty'('t$u139')
| n1 = 'fifo$ulength' ),
inference(demodulation,[status(thm)],[d30,c23]) ).
cnf(d32,plain,
( ~ 'p$uEmpty'('t$u139')
| ~ gt('int$ulevel'('t$u139'),X0)
| gt(n1,plus(X0,n1)) ),
inference(superposition,[status(thm)],[d31,d29]) ).
cnf(d33,plain,
( gt(n0,X0)
| ~ gt(n1,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c23,c13]) ).
cnf(d34,plain,
( gt(plus(X1,n1),X0)
| ~ gt(n0,X0) ),
inference(resolution,[status(thm)],[c17,c6]) ).
cnf(d35,plain,
~ gt(n0,plus(X0,n1)),
inference(resolution,[status(thm)],[d34,c21]) ).
cnf(d36,plain,
( ~ gt(n0,X0)
| plus(X0,n1) = n0 ),
inference(resolution,[status(thm)],[d35,c18]) ).
cnf(d37,plain,
~ gt(n0,X0),
inference(resolution,[status(thm)],[c5,d36]) ).
cnf(d38,plain,
~ gt(n1,plus(X0,n1)),
inference(resolution,[status(thm)],[d37,d33]) ).
cnf(d39,plain,
( ~ 'p$uEmpty'('t$u139')
| ~ gt('int$ulevel'('t$u139'),X0) ),
inference(resolution,[status(thm)],[d38,d32]) ).
cnf(d40,plain,
( gt(X0,'int$ulevel'('t$u139'))
| 'int$ulevel'('t$u139') = X0
| ~ 'p$uEmpty'('t$u139') ),
inference(resolution,[status(thm)],[d39,c16]) ).
cnf(d41,plain,
( gt('int$ulevel'('t$u139'),X0)
| X0 = 'int$ulevel'('t$u139')
| ~ gt('fifo$ulength',X0) ),
inference(superposition,[status(thm)],[d0,c14]) ).
cnf(d42,plain,
( ~ gt('fifo$ulength',X0)
| X0 = 'int$ulevel'('t$u139')
| ~ 'p$uEmpty'('t$u139') ),
inference(resolution,[status(thm)],[d39,d41]) ).
cnf(d43,plain,
( ~ 'p$uEmpty'('t$u139')
| ~ gt('fifo$ulength',X0)
| ~ 'p$uEmpty'('t$u139')
| ~ gt(X0,X1) ),
inference(superposition,[status(thm)],[d42,d39]) ).
cnf(d44,plain,
( ~ gt('fifo$ulength',n0)
| ~ 'p$uEmpty'('t$u139')
| ~ gt(minus('fifo$ulength',n1),X0) ),
inference(resolution,[status(thm)],[d43,c7]) ).
cnf(d45,plain,
( ~ 'p$uEmpty'('t$u139')
| ~ gt(minus('fifo$ulength',n1),X0) ),
inference(resolution,[status(thm)],[d4,d44]) ).
cnf(d46,plain,
( ~ 'p$uEmpty'('t$u139')
| 'int$ulevel'('t$u139') = minus('fifo$ulength',n1)
| ~ 'p$uEmpty'('t$u139') ),
inference(resolution,[status(thm)],[d45,d40]) ).
cnf(d47,plain,
( ~ 'p$uEmpty'('t$u139')
| ~ gt('fifo$ulength',n0)
| gt('fifo$ulength','int$ulevel'('t$u139')) ),
inference(superposition,[status(thm)],[d46,c7]) ).
cnf(d48,plain,
( ~ 'p$uEmpty'('t$u139')
| gt('fifo$ulength','int$ulevel'('t$u139')) ),
inference(resolution,[status(thm)],[d4,d47]) ).
cnf(d49,plain,
~ 'p$uEmpty'('t$u139'),
inference(resolution,[status(thm)],[d20,d48]) ).
cnf(d50,plain,
gt('fifo$ulength',n1),
inference(resolution,[status(thm)],[d49,d28]) ).
cnf(d51,plain,
$false,
inference(resolution,[status(thm)],[d50,d22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV022-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.57 % Computer : n011.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Fri Sep 25 16:02:04 UTC 2026
% 0.09/5.57 % CPUTime :
% 0.09/5.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.88/14.75 % SZS status Unsatisfiable for theBenchmark.p
% 37.88/14.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------