%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN099-1.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 09:21:18 AM UTC 2026
% Result : Unsatisfiable 16.12s 2.57s
% Output : CNFRefutation 16.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 12 unt; 0 nHn; 21 RR)
% Number of literals : 36 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 9 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(m_s2_goal_1,negated_conjecture,
~ 'p$u1$u3'(X0) ).
cnf(m_s2_type11_1,axiom,
( ~ 'p$u1$u1'(X0)
| ~ 'p$u2$u2'(X0)
| 'p$u1$u2'(X0) ) ).
cnf(m_s2_type11_3,axiom,
( ~ 'p$u1$u2'(X0)
| ~ 'p$u2$u3'(X0)
| 'p$u1$u3'(X0) ) ).
cnf(m_s2_type11_5,axiom,
( ~ 'p$u2$u2'(X0)
| ~ 'p$u3$u3'(X0)
| 'p$u2$u3'(X0) ) ).
cnf(m_t2_1,axiom,
'p$u1$u1'(a) ).
cnf(m_t2_3,axiom,
'p$u2$u2'(a) ).
cnf(m_t2_5,axiom,
'p$u3$u3'(a) ).
cnf(c0,plain,
~ 'p$u1$u3'(X0),
inference(clausification,[status(esa)],[m_s2_goal_1]) ).
cnf(c1,plain,
( ~ 'p$u1$u1'(X0)
| ~ 'p$u2$u2'(X0)
| 'p$u1$u2'(X0) ),
inference(clausification,[status(esa)],[m_s2_type11_1]) ).
cnf(c3,plain,
( ~ 'p$u1$u2'(X0)
| ~ 'p$u2$u3'(X0)
| 'p$u1$u3'(X0) ),
inference(clausification,[status(esa)],[m_s2_type11_3]) ).
cnf(c5,plain,
( ~ 'p$u2$u2'(X0)
| ~ 'p$u3$u3'(X0)
| 'p$u2$u3'(X0) ),
inference(clausification,[status(esa)],[m_s2_type11_5]) ).
cnf(c19,plain,
'p$u1$u1'(a),
inference(clausification,[status(esa)],[m_t2_1]) ).
cnf(c21,plain,
'p$u2$u2'(a),
inference(clausification,[status(esa)],[m_t2_3]) ).
cnf(c23,plain,
'p$u3$u3'(a),
inference(clausification,[status(esa)],[m_t2_5]) ).
cnf(d0,plain,
( ~ 'p$u2$u3'(X0)
| ~ 'p$u1$u2'(X0) ),
inference(resolution,[status(thm)],[c0,c3]) ).
cnf(d1,plain,
( 'p$u2$u3'(a)
| ~ 'p$u2$u2'(a) ),
inference(resolution,[status(thm)],[c23,c5]) ).
cnf(d2,plain,
'p$u2$u3'(a),
inference(resolution,[status(thm)],[c21,d1]) ).
cnf(d3,plain,
~ 'p$u1$u2'(a),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( 'p$u1$u2'(a)
| ~ 'p$u2$u2'(a) ),
inference(resolution,[status(thm)],[c19,c1]) ).
cnf(d5,plain,
'p$u1$u2'(a),
inference(resolution,[status(thm)],[c21,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN099-1.003 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n003.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 17:13:24 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.12/2.57 % SZS status Unsatisfiable for theBenchmark.p
% 16.12/2.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------