%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV253-2 : 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 : n012.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 09:01:46 AM UTC 2026
% Result : Unsatisfiable 8.83s 2.35s
% Output : CNFRefutation 8.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 6 unt; 4 nHn; 11 RR)
% Number of literals : 20 ( 19 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
( 'c$uMessage$uOinvKey'('v$uK') != 'c$uMessage$uOinvKey'('v$uK$uH')
| 'v$uK' != 'v$uK$uH' ) ).
cnf(cls_conjecture_1,negated_conjecture,
( 'v$uK' = 'v$uK$uH'
| 'c$uMessage$uOinvKey'('v$uK') = 'c$uMessage$uOinvKey'('v$uK$uH') ) ).
cnf(cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0,axiom,
'c$uMessage$uOinvKey'('c$uMessage$uOinvKey'(X0)) = X0 ).
cnf(c0,plain,
( 'c$uMessage$uOinvKey'('v$uK') != 'c$uMessage$uOinvKey'('v$uK$uH')
| 'v$uK' != 'v$uK$uH' ),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
( 'v$uK' = 'v$uK$uH'
| 'c$uMessage$uOinvKey'('v$uK') = 'c$uMessage$uOinvKey'('v$uK$uH') ),
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c2,plain,
'c$uMessage$uOinvKey'('c$uMessage$uOinvKey'(X0)) = X0,
inference(clausification,[status(esa)],[cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0]) ).
cnf(d0,plain,
( 'v$uK' = 'v$uK$uH'
| 'c$uMessage$uOinvKey'('c$uMessage$uOinvKey'('v$uK')) = 'v$uK$uH' ),
inference(superposition,[status(thm)],[c1,c2]) ).
cnf(d1,plain,
( 'v$uK' = 'v$uK$uH'
| 'v$uK' = 'v$uK$uH' ),
inference(demodulation,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( 'v$uK' = 'v$uK$uH'
| 'v$uK' != 'v$uK' ),
inference(equality_factoring,[status(thm)],[d1]) ).
cnf(d3,plain,
'v$uK' = 'v$uK$uH',
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
'c$uMessage$uOinvKey'('v$uK') != 'c$uMessage$uOinvKey'('v$uK$uH'),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
'c$uMessage$uOinvKey'('v$uK') != 'c$uMessage$uOinvKey'('v$uK'),
inference(demodulation,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV253-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n012.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 13:22:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.83/2.35 % SZS status Unsatisfiable for theBenchmark.p
% 8.83/2.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------