%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COM010-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 06:58:42 AM UTC 2026
% Result : Unsatisfiable 6.76s 11.64s
% Output : CNFRefutation 6.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 13 RR)
% Number of literals : 15 ( 14 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$uUNITY$uOInit'('v$uF','t$ua') = 'c$uUNITY$uOInit'('v$uG','t$ua') ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uUNITY$uOActs'('v$uF','t$ua') = 'c$uUNITY$uOActs'('v$uG','t$ua') ).
cnf(cls_conjecture_2,negated_conjecture,
'c$uUNITY$uOAllowedActs'('v$uF','t$ua') = 'c$uUNITY$uOAllowedActs'('v$uG','t$ua') ).
cnf(cls_conjecture_3,negated_conjecture,
'v$uF' != 'v$uG' ).
cnf(cls_UNITY_Osurjective__mk__program_0,axiom,
'c$uUNITY$uOmk$u$uprogram'('c$uPair'('c$uUNITY$uOInit'(X0,X1),'c$uPair'('c$uUNITY$uOActs'(X0,X1),'c$uUNITY$uOAllowedActs'(X0,X1),'tc$uset'('tc$uset'('tc$uprod'(X1,X1))),'tc$uset'('tc$uset'('tc$uprod'(X1,X1)))),'tc$uset'(X1),'tc$uprod'('tc$uset'('tc$uset'('tc$uprod'(X1,X1))),'tc$uset'('tc$uset'('tc$uprod'(X1,X1))))),X1) = X0 ).
cnf(c0,plain,
'c$uUNITY$uOInit'('v$uF','t$ua') = 'c$uUNITY$uOInit'('v$uG','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uUNITY$uOActs'('v$uF','t$ua') = 'c$uUNITY$uOActs'('v$uG','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
'c$uUNITY$uOAllowedActs'('v$uF','t$ua') = 'c$uUNITY$uOAllowedActs'('v$uG','t$ua'),
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c3,plain,
'v$uF' != 'v$uG',
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c4,plain,
'c$uUNITY$uOmk$u$uprogram'('c$uPair'('c$uUNITY$uOInit'(X0,X1),'c$uPair'('c$uUNITY$uOActs'(X0,X1),'c$uUNITY$uOAllowedActs'(X0,X1),'tc$uset'('tc$uset'('tc$uprod'(X1,X1))),'tc$uset'('tc$uset'('tc$uprod'(X1,X1)))),'tc$uset'(X1),'tc$uprod'('tc$uset'('tc$uset'('tc$uprod'(X1,X1))),'tc$uset'('tc$uset'('tc$uprod'(X1,X1))))),X1) = X0,
inference(clausification,[status(esa)],[cls_UNITY_Osurjective__mk__program_0]) ).
cnf(d0,plain,
'c$uUNITY$uOmk$u$uprogram'('c$uPair'('c$uUNITY$uOInit'('v$uF','t$ua'),'c$uPair'('c$uUNITY$uOActs'('v$uG','t$ua'),'c$uUNITY$uOAllowedActs'('v$uG','t$ua'),'tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua'))),'tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua')))),'tc$uset'('t$ua'),'tc$uprod'('tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua'))),'tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua'))))),'t$ua') = 'v$uG',
inference(superposition,[status(thm)],[c0,c4]) ).
cnf(d1,plain,
'c$uUNITY$uOmk$u$uprogram'('c$uPair'('c$uUNITY$uOInit'('v$uF','t$ua'),'c$uPair'('c$uUNITY$uOActs'('v$uF','t$ua'),'c$uUNITY$uOAllowedActs'('v$uG','t$ua'),'tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua'))),'tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua')))),'tc$uset'('t$ua'),'tc$uprod'('tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua'))),'tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua'))))),'t$ua') = 'v$uG',
inference(demodulation,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
'c$uUNITY$uOmk$u$uprogram'('c$uPair'('c$uUNITY$uOInit'('v$uF','t$ua'),'c$uPair'('c$uUNITY$uOActs'('v$uF','t$ua'),'c$uUNITY$uOAllowedActs'('v$uF','t$ua'),'tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua'))),'tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua')))),'tc$uset'('t$ua'),'tc$uprod'('tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua'))),'tc$uset'('tc$uset'('tc$uprod'('t$ua','t$ua'))))),'t$ua') = 'v$uG',
inference(demodulation,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
'v$uF' = 'v$uG',
inference(demodulation,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c3,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM010-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.38 % Computer : n014.cluster.edu
% 0.09/10.38 % Model : x86_64 x86_64
% 0.09/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.38 % Memory : 8046.5625MB
% 0.09/10.38 % OS : Linux 6.8.0-71-generic
% 0.09/10.38 % CPULimit : 300
% 0.09/10.38 % WCLimit : 300
% 0.09/10.38 % DateTime : Sat Sep 26 23:20:42 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.76/11.64 % SZS status Unsatisfiable for theBenchmark.p
% 6.76/11.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------