%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 9.53s 1.62s
% Output : CNFRefutation 9.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 5 unt; 3 nHn; 10 RR)
% Number of literals : 19 ( 8 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( ~ 'c$uUNITY$uOall$u$utotal'('v$uF','t$ua')
| 'c$uUNITY$uOtotalize'('v$uF','t$ua') != 'v$uF' ) ).
cnf(cls_conjecture_1,negated_conjecture,
( 'c$uUNITY$uOtotalize'('v$uF','t$ua') = 'v$uF'
| 'c$uUNITY$uOall$u$utotal'('v$uF','t$ua') ) ).
cnf(cls_UNITY_Oall__total__imp__totalize_0,axiom,
( 'c$uUNITY$uOtotalize'(X0,X1) = X0
| ~ 'c$uUNITY$uOall$u$utotal'(X0,X1) ) ).
cnf(cls_UNITY_Oall__total__totalize_0,axiom,
'c$uUNITY$uOall$u$utotal'('c$uUNITY$uOtotalize'(X0,X1),X1) ).
cnf(c0,plain,
( ~ 'c$uUNITY$uOall$u$utotal'('v$uF','t$ua')
| 'c$uUNITY$uOtotalize'('v$uF','t$ua') != 'v$uF' ),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
( 'c$uUNITY$uOtotalize'('v$uF','t$ua') = 'v$uF'
| 'c$uUNITY$uOall$u$utotal'('v$uF','t$ua') ),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
( 'c$uUNITY$uOtotalize'(X0,X1) = X0
| ~ 'c$uUNITY$uOall$u$utotal'(X0,X1) ),
inference(clausification,[status(esa)],[cls_UNITY_Oall__total__imp__totalize_0]) ).
cnf(c3,plain,
'c$uUNITY$uOall$u$utotal'('c$uUNITY$uOtotalize'(X0,X1),X1),
inference(clausification,[status(esa)],[cls_UNITY_Oall__total__totalize_0]) ).
cnf(d0,plain,
( 'c$uUNITY$uOtotalize'('v$uF','t$ua') = 'v$uF'
| 'c$uUNITY$uOtotalize'('v$uF','t$ua') = 'v$uF' ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
'c$uUNITY$uOall$u$utotal'('v$uF','t$ua'),
inference(superposition,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
~ 'c$uUNITY$uOall$u$utotal'('v$uF','t$ua'),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.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 23:20:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.53/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 9.53/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------