%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC105+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/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 08:54:17 AM UTC 2026
% Result : Theorem 14.47s 7.80s
% Output : CNFRefutation 14.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 39 ( 10 unt; 0 def)
% Number of atoms : 101 ( 40 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 102 ( 40 ~; 45 |; 6 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ) ).
fof(ax52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ) ).
fof(co1,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ rearsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ( ( ( rearsegP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ rearsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ( ( ( rearsegP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c143,plain,
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax51]) ).
cnf(c144,plain,
( nil = X0
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[ax52]) ).
cnf(c208,plain,
ssList(sK253),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c209,plain,
ssList(sK254),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c212,plain,
sK254 = sK256,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c213,plain,
sK253 = sK255,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c215,plain,
( ~ rearsegP(sK254,sK253)
| ~ neq(sK253,nil)
| nil = sK254 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c216,plain,
( neq(sK254,nil)
| nil != sK253 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c217,plain,
( ~ rearsegP(sK254,sK253)
| ~ neq(sK253,nil)
| nil != sK253 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c218,plain,
( neq(sK255,nil)
| nil = sK256 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
( rearsegP(sK256,sK255)
| nil = sK256 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c221,plain,
( rearsegP(sK256,sK255)
| nil = sK255 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( neq(sK255,nil)
| nil = sK254 ),
inference(demodulation,[status(thm)],[c218,c212]) ).
cnf(d1,plain,
( neq(sK253,nil)
| nil = sK254 ),
inference(demodulation,[status(thm)],[d0,c213]) ).
cnf(d2,plain,
( rearsegP(sK256,sK255)
| nil = sK254 ),
inference(demodulation,[status(thm)],[c219,c212]) ).
cnf(d3,plain,
( rearsegP(sK254,sK255)
| nil = sK254 ),
inference(demodulation,[status(thm)],[d2,c212]) ).
cnf(d4,plain,
( rearsegP(sK254,sK253)
| nil = sK254 ),
inference(demodulation,[status(thm)],[d3,c213]) ).
cnf(d5,plain,
( nil = sK254
| ~ neq(sK253,nil)
| nil = sK254 ),
inference(resolution,[status(thm)],[c215,d4]) ).
cnf(d6,plain,
( nil = sK254
| nil = sK254 ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( rearsegP(sK256,sK255)
| nil = sK253 ),
inference(demodulation,[status(thm)],[c221,c213]) ).
cnf(d8,plain,
( rearsegP(sK254,sK255)
| nil = sK253 ),
inference(demodulation,[status(thm)],[d7,c212]) ).
cnf(d9,plain,
( rearsegP(sK254,sK253)
| nil = sK253 ),
inference(demodulation,[status(thm)],[d8,c213]) ).
cnf(d10,plain,
( rearsegP(nil,sK253)
| nil = sK253 ),
inference(demodulation,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( nil = sK253
| ~ ssList(sK253)
| nil = sK253 ),
inference(resolution,[status(thm)],[c144,d10]) ).
cnf(d12,plain,
nil = sK253,
inference(resolution,[status(thm)],[c208,d11]) ).
cnf(d13,plain,
( ~ rearsegP(nil,sK253)
| ~ neq(sK253,nil)
| nil != sK253 ),
inference(demodulation,[status(thm)],[c217,d6]) ).
cnf(d14,plain,
( ~ rearsegP(nil,sK253)
| ~ neq(sK253,nil) ),
inference(resolution,[status(thm)],[d12,d13]) ).
cnf(d15,plain,
( ~ rearsegP(nil,sK253)
| ~ neq(nil,nil) ),
inference(demodulation,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
( ~ rearsegP(nil,nil)
| ~ neq(nil,nil) ),
inference(demodulation,[status(thm)],[d15,d12]) ).
cnf(d17,plain,
( neq(nil,nil)
| nil != sK253 ),
inference(demodulation,[status(thm)],[c216,d6]) ).
cnf(d18,plain,
neq(nil,nil),
inference(resolution,[status(thm)],[d12,d17]) ).
cnf(d19,plain,
~ rearsegP(nil,nil),
inference(resolution,[status(thm)],[d18,d16]) ).
cnf(d20,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d19,c143]) ).
cnf(d21,plain,
ssList(nil),
inference(demodulation,[status(thm)],[c209,d6]) ).
cnf(d22,plain,
$false,
inference(resolution,[status(thm)],[d21,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC105+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n020.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 12:16:40 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.47/7.80 % SZS status Theorem for theBenchmark.p
% 14.47/7.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------