%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 07:55:20 AM UTC 2026
% Result : Unsatisfiable 12.80s 6.45s
% Output : CNFRefutation 12.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 11 unt; 0 nHn; 6 RR)
% Number of literals : 17 ( 5 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Suc__eq__plus1_0,axiom,
'c$uSuc'(X0) = 'c$uHOL$uOplus$u$uclass$uOplus'(X0,'c$uHOL$uOone$u$uclass$uOone'('tc$unat'),'tc$unat') ).
cnf(cls_lift_Osimps_I3_J_0,axiom,
'c$uLambda$uOlift'('c$uLambda$uOdB$uOAbs'(X0),X1) = 'c$uLambda$uOdB$uOAbs'('c$uLambda$uOlift'(X0,'c$uHOL$uOplus$u$uclass$uOplus'(X1,'c$uHOL$uOone$u$uclass$uOone'('tc$unat'),'tc$unat'))) ).
cnf(cls_Lambda_0,axiom,
( ~ 'c$uInductTermi$uOIT'(X0)
| 'c$uInductTermi$uOIT'('c$uLambda$uOdB$uOAbs'(X0)) ) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uInductTermi$uOIT'('c$uLambda$uOlift'('v$ur',X0)) ).
cnf(cls_conjecture_2,negated_conjecture,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOlift'('c$uLambda$uOdB$uOAbs'('v$ur'),'v$uia')) ).
cnf(c306,plain,
'c$uSuc'(X0) = 'c$uHOL$uOplus$u$uclass$uOplus'(X0,'c$uHOL$uOone$u$uclass$uOone'('tc$unat'),'tc$unat'),
inference(clausification,[status(esa)],[cls_Suc__eq__plus1_0]) ).
cnf(c331,plain,
'c$uLambda$uOlift'('c$uLambda$uOdB$uOAbs'(X0),X1) = 'c$uLambda$uOdB$uOAbs'('c$uLambda$uOlift'(X0,'c$uHOL$uOplus$u$uclass$uOplus'(X1,'c$uHOL$uOone$u$uclass$uOone'('tc$unat'),'tc$unat'))),
inference(clausification,[status(esa)],[cls_lift_Osimps_I3_J_0]) ).
cnf(c338,plain,
( ~ 'c$uInductTermi$uOIT'(X0)
| 'c$uInductTermi$uOIT'('c$uLambda$uOdB$uOAbs'(X0)) ),
inference(clausification,[status(esa)],[cls_Lambda_0]) ).
cnf(c343,plain,
'c$uInductTermi$uOIT'('c$uLambda$uOlift'('v$ur',X0)),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c344,plain,
~ 'c$uInductTermi$uOIT'('c$uLambda$uOlift'('c$uLambda$uOdB$uOAbs'('v$ur'),'v$uia')),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(d0,plain,
'c$uLambda$uOlift'('c$uLambda$uOdB$uOAbs'(X1),X0) = 'c$uLambda$uOdB$uOAbs'('c$uLambda$uOlift'(X1,'c$uSuc'(X0))),
inference(demodulation,[status(thm)],[c331,c306]) ).
cnf(d1,plain,
( ~ 'c$uInductTermi$uOIT'('c$uLambda$uOlift'(X0,'c$uSuc'(X1)))
| 'c$uInductTermi$uOIT'('c$uLambda$uOlift'('c$uLambda$uOdB$uOAbs'(X0),X1)) ),
inference(superposition,[status(thm)],[d0,c338]) ).
cnf(d2,plain,
'c$uInductTermi$uOIT'('c$uLambda$uOlift'('c$uLambda$uOdB$uOAbs'('v$ur'),X0)),
inference(resolution,[status(thm)],[d1,c343]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,c344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL748-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 23:28:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.80/6.45 % SZS status Unsatisfiable for theBenchmark.p
% 12.80/6.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------