%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN098-1.002 : 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 : n020.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 12.31s 8.97s
% Output : CNFRefutation 12.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 44 ( 6 unt; 23 nHn; 44 RR)
% Number of literals : 99 ( 0 equ; 37 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(u_s3_goal_1,negated_conjecture,
( ~ 'q$u0'
| ~ 'p$u0'
| 'u$u1' ) ).
cnf(u_1_s3_goal_1,axiom,
~ 'u$u1' ).
cnf(u_s3_type11_1,axiom,
( ~ 'p$u2'
| ~ 'p$u1'
| 'p$u0'
| 'u$u2' ) ).
cnf(u_2_s3_type11_1,axiom,
( ~ 'u$u2'
| 'p$u0' ) ).
cnf(u_s3_type11_3,axiom,
( ~ 'p$u3'
| ~ 'p$u2'
| 'p$u1'
| 'u$u4' ) ).
cnf(u_4_s3_type11_3,axiom,
( ~ 'u$u4'
| 'p$u1' ) ).
cnf(u_s3_type12_1,axiom,
( ~ 'q$u2'
| ~ 'p$u1'
| 'q$u0'
| 'u$u6' ) ).
cnf(u_6_s3_type12_1,axiom,
( ~ 'u$u6'
| 'q$u0' ) ).
cnf(u_t3_1,axiom,
( 'p$u2'
| 'u$u14' ) ).
cnf(u_14_t3_1,axiom,
( ~ 'u$u14'
| 'p$u2' ) ).
cnf(u_t3_2,axiom,
( 'p$u3'
| 'u$u15' ) ).
cnf(u_15_t3_2,axiom,
( ~ 'u$u15'
| 'p$u3' ) ).
cnf(u_t3_3,axiom,
( 'q$u2'
| 'u$u16' ) ).
cnf(u_16_t3_3,axiom,
( ~ 'u$u16'
| 'q$u2' ) ).
cnf(c0,plain,
( ~ 'q$u0'
| ~ 'p$u0'
| 'u$u1' ),
inference(clausification,[status(esa)],[u_s3_goal_1]) ).
cnf(c1,plain,
~ 'u$u1',
inference(clausification,[status(esa)],[u_1_s3_goal_1]) ).
cnf(c2,plain,
( ~ 'p$u2'
| ~ 'p$u1'
| 'p$u0'
| 'u$u2' ),
inference(clausification,[status(esa)],[u_s3_type11_1]) ).
cnf(c3,plain,
( ~ 'u$u2'
| 'p$u0' ),
inference(clausification,[status(esa)],[u_2_s3_type11_1]) ).
cnf(c6,plain,
( ~ 'p$u3'
| ~ 'p$u2'
| 'p$u1'
| 'u$u4' ),
inference(clausification,[status(esa)],[u_s3_type11_3]) ).
cnf(c7,plain,
( ~ 'u$u4'
| 'p$u1' ),
inference(clausification,[status(esa)],[u_4_s3_type11_3]) ).
cnf(c10,plain,
( ~ 'q$u2'
| ~ 'p$u1'
| 'q$u0'
| 'u$u6' ),
inference(clausification,[status(esa)],[u_s3_type12_1]) ).
cnf(c11,plain,
( ~ 'u$u6'
| 'q$u0' ),
inference(clausification,[status(esa)],[u_6_s3_type12_1]) ).
cnf(c26,plain,
( 'p$u2'
| 'u$u14' ),
inference(clausification,[status(esa)],[u_t3_1]) ).
cnf(c27,plain,
( ~ 'u$u14'
| 'p$u2' ),
inference(clausification,[status(esa)],[u_14_t3_1]) ).
cnf(c28,plain,
( 'p$u3'
| 'u$u15' ),
inference(clausification,[status(esa)],[u_t3_2]) ).
cnf(c29,plain,
( ~ 'u$u15'
| 'p$u3' ),
inference(clausification,[status(esa)],[u_15_t3_2]) ).
cnf(c30,plain,
( 'q$u2'
| 'u$u16' ),
inference(clausification,[status(esa)],[u_t3_3]) ).
cnf(c31,plain,
( ~ 'u$u16'
| 'q$u2' ),
inference(clausification,[status(esa)],[u_16_t3_3]) ).
cnf(d0,plain,
( ~ 'q$u0'
| ~ 'p$u0' ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( 'p$u2'
| 'p$u2' ),
inference(resolution,[status(thm)],[c27,c26]) ).
cnf(d2,plain,
( 'u$u2'
| ~ 'p$u1'
| 'p$u0' ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( 'u$u4'
| ~ 'p$u3'
| 'p$u1' ),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d4,plain,
( 'p$u3'
| 'p$u3' ),
inference(resolution,[status(thm)],[c29,c28]) ).
cnf(d5,plain,
( 'u$u4'
| 'p$u1' ),
inference(resolution,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( 'p$u1'
| 'p$u1' ),
inference(resolution,[status(thm)],[d5,c7]) ).
cnf(d7,plain,
( 'u$u2'
| 'p$u0' ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( 'p$u0'
| 'p$u0' ),
inference(resolution,[status(thm)],[d7,c3]) ).
cnf(d9,plain,
~ 'q$u0',
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
~ 'u$u6',
inference(resolution,[status(thm)],[d9,c11]) ).
cnf(d11,plain,
( 'q$u2'
| 'q$u2' ),
inference(resolution,[status(thm)],[c31,c30]) ).
cnf(d12,plain,
( 'u$u6'
| ~ 'p$u1'
| 'q$u0' ),
inference(resolution,[status(thm)],[d11,c10]) ).
cnf(d13,plain,
( 'u$u6'
| 'q$u0' ),
inference(resolution,[status(thm)],[d6,d12]) ).
cnf(d14,plain,
'u$u6',
inference(resolution,[status(thm)],[d9,d13]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[d14,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN098-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/6.21 % Computer : n020.cluster.edu
% 0.13/6.21 % Model : x86_64 x86_64
% 0.13/6.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/6.21 % Memory : 8046.5625MB
% 0.13/6.21 % OS : Linux 6.8.0-71-generic
% 0.13/6.21 % CPULimit : 300
% 0.13/6.21 % WCLimit : 300
% 0.13/6.21 % DateTime : Sat Sep 26 17:12:40 UTC 2026
% 0.13/6.22 % CPUTime :
% 0.13/6.22 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.31/8.97 % SZS status Unsatisfiable for theBenchmark.p
% 12.31/8.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------