%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG365-1 : 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 : n004.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 06:48:23 AM UTC 2026
% Result : Unsatisfiable 28.28s 7.35s
% Output : CNFRefutation 28.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-5 aty)
% Number of variables : 3 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_that_0,axiom,
( ~ 'c$uSEQ$uOLIMSEQ'('c$uCOMBB'('c$uComplex$uOIm','c$uCOMBB'('v$us','c$uCOMBB'('v$uf','v$uga','tc$unat','tc$unat','tc$unat'),'tc$unat','tc$uComplex$uOcomplex','tc$unat'),'tc$uComplex$uOcomplex','tc$uRealDef$uOreal','tc$unat'),X0,'tc$uRealDef$uOreal')
| 'v$uthesis' ) ).
cnf(cls_CHAINED_0,axiom,
'c$uSEQ$uOLIMSEQ'('c$uCOMBB'('c$uComplex$uOIm','c$uCOMBB'('v$us','c$uCOMBB'('v$uf','v$uga','tc$unat','tc$unat','tc$unat'),'tc$unat','tc$uComplex$uOcomplex','tc$unat'),'tc$uComplex$uOcomplex','tc$uRealDef$uOreal','tc$unat'),'v$usko$u$uCHAINED$u$u1'('v$uf','v$uga','v$us'),'tc$uRealDef$uOreal') ).
cnf(cls_conjecture_0,negated_conjecture,
~ 'v$uthesis' ).
cnf(c339,plain,
( ~ 'c$uSEQ$uOLIMSEQ'('c$uCOMBB'('c$uComplex$uOIm','c$uCOMBB'('v$us','c$uCOMBB'('v$uf','v$uga','tc$unat','tc$unat','tc$unat'),'tc$unat','tc$uComplex$uOcomplex','tc$unat'),'tc$uComplex$uOcomplex','tc$uRealDef$uOreal','tc$unat'),X0,'tc$uRealDef$uOreal')
| 'v$uthesis' ),
inference(clausification,[status(esa)],[cls_that_0]) ).
cnf(c384,plain,
'c$uSEQ$uOLIMSEQ'('c$uCOMBB'('c$uComplex$uOIm','c$uCOMBB'('v$us','c$uCOMBB'('v$uf','v$uga','tc$unat','tc$unat','tc$unat'),'tc$unat','tc$uComplex$uOcomplex','tc$unat'),'tc$uComplex$uOcomplex','tc$uRealDef$uOreal','tc$unat'),'v$usko$u$uCHAINED$u$u1'('v$uf','v$uga','v$us'),'tc$uRealDef$uOreal'),
inference(clausification,[status(esa)],[cls_CHAINED_0]) ).
cnf(c385,plain,
~ 'v$uthesis',
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(d0,plain,
~ 'c$uSEQ$uOLIMSEQ'('c$uCOMBB'('c$uComplex$uOIm','c$uCOMBB'('v$us','c$uCOMBB'('v$uf','v$uga','tc$unat','tc$unat','tc$unat'),'tc$unat','tc$uComplex$uOcomplex','tc$unat'),'tc$uComplex$uOcomplex','tc$uRealDef$uOreal','tc$unat'),X0,'tc$uRealDef$uOreal'),
inference(resolution,[status(thm)],[c385,c339]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG365-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 21:55:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.28/7.35 % SZS status Unsatisfiable for theBenchmark.p
% 28.28/7.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------