%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : HWV023-2 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 19.75s 2.86s
% Output : CNFRefutation 19.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of clauses : 73 ( 37 unt; 23 nHn; 57 RR)
% Number of literals : 136 ( 61 equ; 44 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 66 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(quest_1,negated_conjecture,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206') = n1 ).
cnf(quest_2,negated_conjecture,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')) ).
cnf(quest_3,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')) ).
cnf(quest_4,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')) ).
cnf(quest_5,negated_conjecture,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('f$uADD'('t$u206',n1))) ).
cnf(axiom_5,axiom,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) ).
cnf(axiom_8,axiom,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != n0
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'(X0)) ) ).
cnf(axiom_43,axiom,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
| 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n0)
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'(X0,n1)) = 'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n1) ) ).
cnf(axiom_59,axiom,
'f$uADD'(X0,n1) != n0 ).
cnf(axiom_60,axiom,
~ 'p$uLES$uEQU'('f$uADD'(X0,n1),n0) ).
cnf(axiom_61,axiom,
( 'p$uLES$uEQU'(X0,n0)
| ~ 'p$uLES$uEQU'(X0,'f$uSUB'(X0,n1)) ) ).
cnf(axiom_62,axiom,
( 'f$uSUB'(X1,X0) != X2
| 'f$uADD'(X2,X0) = X1
| 'def$u89'(X0,X1) ) ).
cnf(axiom_63,axiom,
( 'f$uSUB'(X1,X0) = X2
| 'f$uADD'(X2,X0) != X1
| 'def$u89'(X0,X1) ) ).
cnf(axiom_64,axiom,
( ~ 'def$u89'(X1,X0)
| X0 != X1 ) ).
cnf(axiom_68,axiom,
( 'p$uLES$uEQU'('f$uADD'(X1,n1),X0)
| ~ 'p$uLES$uEQU'(X1,X0)
| X0 = X1 ) ).
cnf(axiom_71,axiom,
( 'p$uLES$uEQU'(X0,X2)
| 'p$uLES$uEQU'(X2,X1)
| ~ 'p$uLES$uEQU'(X0,X1) ) ).
cnf(axiom_72,axiom,
( 'p$uLES$uEQU'(X1,X0)
| ~ 'p$uLES$uEQU'(X1,'f$uADD'(X0,n1))
| 'f$uADD'(X0,n1) = X1 ) ).
cnf(axiom_75,axiom,
'p$uLES$uEQU'(X0,X0) ).
cnf(axiom_76,axiom,
( 'f$uADD'(X0,n1) != 'f$uADD'(X1,n1)
| X0 = X1 ) ).
cnf(axiom_77,axiom,
'f$uADD'(n0,X0) = X0 ).
cnf(axiom_78,axiom,
n1 = 'f$uADD'(n0,n1) ).
cnf(c0,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'('t$u206') = n1,
inference(clausification,[status(esa)],[quest_1]) ).
cnf(c1,plain,
'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206')),
inference(clausification,[status(esa)],[quest_2]) ).
cnf(c2,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206')),
inference(clausification,[status(esa)],[quest_3]) ).
cnf(c3,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206')),
inference(clausification,[status(esa)],[quest_4]) ).
cnf(c4,plain,
~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('f$uADD'('t$u206',n1))),
inference(clausification,[status(esa)],[quest_5]) ).
cnf(c8,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTlevel'(X0) = 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),
inference(clausification,[status(esa)],[axiom_5]) ).
cnf(c11,plain,
( 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0) != n0
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'(X0)) ),
inference(clausification,[status(esa)],[axiom_8]) ).
cnf(c46,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'(X0))
| 'p$uLES$uEQU'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n0)
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'(X0))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'(X0))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'(X0,n1)) = 'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'(X0),n1) ),
inference(clausification,[status(esa)],[axiom_43]) ).
cnf(c62,plain,
'f$uADD'(X0,n1) != n0,
inference(clausification,[status(esa)],[axiom_59]) ).
cnf(c63,plain,
~ 'p$uLES$uEQU'('f$uADD'(X0,n1),n0),
inference(clausification,[status(esa)],[axiom_60]) ).
cnf(c64,plain,
( 'p$uLES$uEQU'(X0,n0)
| ~ 'p$uLES$uEQU'(X0,'f$uSUB'(X0,n1)) ),
inference(clausification,[status(esa)],[axiom_61]) ).
cnf(c65,plain,
( 'f$uSUB'(X1,X0) != X2
| 'f$uADD'(X2,X0) = X1
| 'def$u89'(X0,X1) ),
inference(clausification,[status(esa)],[axiom_62]) ).
cnf(c66,plain,
( 'f$uSUB'(X1,X0) = X2
| 'f$uADD'(X2,X0) != X1
| 'def$u89'(X0,X1) ),
inference(clausification,[status(esa)],[axiom_63]) ).
cnf(c67,plain,
( ~ 'def$u89'(X1,X0)
| X0 != X1 ),
inference(clausification,[status(esa)],[axiom_64]) ).
cnf(c71,plain,
( 'p$uLES$uEQU'('f$uADD'(X1,n1),X0)
| ~ 'p$uLES$uEQU'(X1,X0)
| X0 = X1 ),
inference(clausification,[status(esa)],[axiom_68]) ).
cnf(c74,plain,
( 'p$uLES$uEQU'(X0,X2)
| 'p$uLES$uEQU'(X2,X1)
| ~ 'p$uLES$uEQU'(X0,X1) ),
inference(clausification,[status(esa)],[axiom_71]) ).
cnf(c75,plain,
( 'p$uLES$uEQU'(X1,X0)
| ~ 'p$uLES$uEQU'(X1,'f$uADD'(X0,n1))
| 'f$uADD'(X0,n1) = X1 ),
inference(clausification,[status(esa)],[axiom_72]) ).
cnf(c78,plain,
'p$uLES$uEQU'(X0,X0),
inference(clausification,[status(esa)],[axiom_75]) ).
cnf(c79,plain,
( 'f$uADD'(X0,n1) != 'f$uADD'(X1,n1)
| X0 = X1 ),
inference(clausification,[status(esa)],[axiom_76]) ).
cnf(c80,plain,
'f$uADD'(n0,X0) = X0,
inference(clausification,[status(esa)],[axiom_77]) ).
cnf(c81,plain,
n1 = 'f$uADD'(n0,n1),
inference(clausification,[status(esa)],[axiom_78]) ).
cnf(d0,plain,
( 'p$uLES$uEQU'(X1,X0)
| 'p$uLES$uEQU'(X0,X1) ),
inference(resolution,[status(thm)],[c74,c78]) ).
cnf(d1,plain,
'p$uLES$uEQU'(n0,'f$uADD'(X0,n1)),
inference(resolution,[status(thm)],[d0,c63]) ).
cnf(d2,plain,
( 'p$uLES$uEQU'(n0,X0)
| 'f$uADD'(X0,n1) = n0 ),
inference(resolution,[status(thm)],[d1,c75]) ).
cnf(d3,plain,
'p$uLES$uEQU'(n0,X0),
inference(resolution,[status(thm)],[c62,d2]) ).
cnf(d4,plain,
( 'p$uLES$uEQU'('f$uADD'(X0,n1),n0)
| ~ 'p$uLES$uEQU'(X0,'f$uSUB'('f$uADD'(X0,n1),n1))
| 'f$uSUB'('f$uADD'(X0,n1),n1) = X0 ),
inference(resolution,[status(thm)],[c71,c64]) ).
cnf(d5,plain,
( ~ 'p$uLES$uEQU'(X0,'f$uSUB'('f$uADD'(X0,n1),n1))
| 'f$uSUB'('f$uADD'(X0,n1),n1) = X0 ),
inference(resolution,[status(thm)],[c63,d4]) ).
cnf(d6,plain,
'f$uSUB'('f$uADD'(n0,n1),n1) = n0,
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
'f$uSUB'(n1,n1) = n0,
inference(demodulation,[status(thm)],[d6,c80]) ).
cnf(d8,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206') = n1,
inference(demodulation,[status(thm)],[c0,c8]) ).
cnf(d9,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'f$uSUB'('fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('t$u206'),n1)
| 'p$uLES$uEQU'(n1,n0) ),
inference(superposition,[status(thm)],[d8,c46]) ).
cnf(d10,plain,
( 'p$uLES$uEQU'(n1,n0)
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| ~ 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTrd'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'f$uSUB'(n1,n1) ),
inference(demodulation,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( 'p$uLES$uEQU'(n1,n0)
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTreset'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'f$uSUB'(n1,n1) ),
inference(resolution,[status(thm)],[c1,d10]) ).
cnf(d12,plain,
( 'p$uLES$uEQU'(n1,n0)
| 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTwr'('t$u206'))
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'f$uSUB'(n1,n1) ),
inference(resolution,[status(thm)],[c2,d11]) ).
cnf(d13,plain,
( 'p$uLES$uEQU'(n1,n0)
| 'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'f$uSUB'(n1,n1) ),
inference(resolution,[status(thm)],[c3,d12]) ).
cnf(d14,plain,
~ 'p$uLES$uEQU'(n1,n0),
inference(superposition,[status(thm)],[c80,c63]) ).
cnf(d15,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = 'f$uSUB'(n1,n1),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
'fwork$uDOTfifo$uDOTrtl$uDOTint$u$ulevel'('f$uADD'('t$u206',n1)) = n0,
inference(demodulation,[status(thm)],[d15,d7]) ).
cnf(d17,plain,
( 'p$u$upred'('fwork$uDOTfifo$uDOTrtl$uDOTempty'('f$uADD'('t$u206',n1)))
| n0 != n0 ),
inference(superposition,[status(thm)],[d16,c11]) ).
cnf(d18,plain,
n0 != n0,
inference(resolution,[status(thm)],[c4,d17]) ).
cnf(d19,plain,
( 'def$u89'(X0,X1)
| 'f$uSUB'(X1,X0) = n0
| X0 != X1 ),
inference(superposition,[status(thm)],[c80,c66]) ).
cnf(d20,plain,
( 'def$u89'(X0,X0)
| 'f$uSUB'(X0,X0) = n0 ),
inference(equality_resolution,[status(thm)],[d19]) ).
cnf(d21,plain,
~ 'def$u89'(X0,X0),
inference(equality_resolution,[status(thm)],[c67]) ).
cnf(d22,plain,
'f$uSUB'(X0,X0) = n0,
inference(resolution,[status(thm)],[d21,d20]) ).
cnf(d23,plain,
( n0 = X0
| n1 != 'f$uADD'(X0,n1) ),
inference(superposition,[status(thm)],[c80,c79]) ).
cnf(d24,plain,
( 'def$u89'(X1,X0)
| 'f$uADD'('f$uSUB'(X0,X1),X1) = X0 ),
inference(equality_resolution,[status(thm)],[c65]) ).
cnf(d25,plain,
'f$uADD'('f$uSUB'(X0,X0),X0) = X0,
inference(resolution,[status(thm)],[d24,d21]) ).
cnf(d26,plain,
( n0 = 'f$uSUB'(n1,n1)
| n1 != n1 ),
inference(superposition,[status(thm)],[d25,d23]) ).
cnf(d27,plain,
( n0 = n0
| n1 != n1 ),
inference(demodulation,[status(thm)],[d26,d22]) ).
cnf(d28,plain,
n1 = n1,
inference(demodulation,[status(thm)],[c81,c80]) ).
cnf(d29,plain,
n0 = n0,
inference(resolution,[status(thm)],[d28,d27]) ).
cnf(d30,plain,
$false,
inference(resolution,[status(thm)],[d29,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV023-2 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 16:02:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.75/2.86 % SZS status Unsatisfiable for theBenchmark.p
% 19.75/2.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------