%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 10.70s 1.71s
% Output : CNFRefutation 10.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 6 unt; 8 nHn; 24 RR)
% Number of literals : 47 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 8 ( 7 usr; 8 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(u_s2_goal_1,negated_conjecture,
( ~ 'p$u1$u2'
| 'u$u1' ) ).
cnf(u_1_s2_goal_1,axiom,
~ 'u$u1' ).
cnf(u_s2_type11_1,axiom,
( ~ 'p$u1$u1'
| ~ 'p$u2$u2'
| 'p$u1$u2'
| 'u$u2' ) ).
cnf(u_2_s2_type11_1,axiom,
( ~ 'u$u2'
| 'p$u1$u2' ) ).
cnf(u_t2_1,axiom,
( 'p$u1$u1'
| 'u$u10' ) ).
cnf(u_10_t2_1,axiom,
( ~ 'u$u10'
| 'p$u1$u1' ) ).
cnf(u_t2_3,axiom,
( 'p$u2$u2'
| 'u$u12' ) ).
cnf(u_12_t2_3,axiom,
( ~ 'u$u12'
| 'p$u2$u2' ) ).
cnf(c0,plain,
( ~ 'p$u1$u2'
| 'u$u1' ),
inference(clausification,[status(esa)],[u_s2_goal_1]) ).
cnf(c1,plain,
~ 'u$u1',
inference(clausification,[status(esa)],[u_1_s2_goal_1]) ).
cnf(c2,plain,
( ~ 'p$u1$u1'
| ~ 'p$u2$u2'
| 'p$u1$u2'
| 'u$u2' ),
inference(clausification,[status(esa)],[u_s2_type11_1]) ).
cnf(c3,plain,
( ~ 'u$u2'
| 'p$u1$u2' ),
inference(clausification,[status(esa)],[u_2_s2_type11_1]) ).
cnf(c18,plain,
( 'p$u1$u1'
| 'u$u10' ),
inference(clausification,[status(esa)],[u_t2_1]) ).
cnf(c19,plain,
( ~ 'u$u10'
| 'p$u1$u1' ),
inference(clausification,[status(esa)],[u_10_t2_1]) ).
cnf(c22,plain,
( 'p$u2$u2'
| 'u$u12' ),
inference(clausification,[status(esa)],[u_t2_3]) ).
cnf(c23,plain,
( ~ 'u$u12'
| 'p$u2$u2' ),
inference(clausification,[status(esa)],[u_12_t2_3]) ).
cnf(d0,plain,
~ 'p$u1$u2',
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( 'u$u2'
| ~ 'p$u2$u2'
| ~ 'p$u1$u1' ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
~ 'u$u2',
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d3,plain,
( ~ 'p$u2$u2'
| ~ 'p$u1$u1' ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( 'p$u1$u1'
| 'p$u1$u1' ),
inference(resolution,[status(thm)],[c19,c18]) ).
cnf(d5,plain,
~ 'p$u2$u2',
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( 'p$u2$u2'
| 'p$u2$u2' ),
inference(resolution,[status(thm)],[c23,c22]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN097-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 17:12:04 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.70/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 10.70/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------