%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN085-1.010 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 09:21:16 AM UTC 2026
% Result : Unsatisfiable 8.43s 1.49s
% Output : CNFRefutation 8.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 24 unt; 0 nHn; 35 RR)
% Number of literals : 100 ( 0 equ; 77 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 12 ( 11 usr; 12 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s1_goal_1,negated_conjecture,
~ 'p$u0' ).
cnf(s1_1,axiom,
( ~ 'p$u10'
| ~ 'p$u9'
| ~ 'p$u8'
| ~ 'p$u7'
| ~ 'p$u6'
| ~ 'p$u5'
| ~ 'p$u4'
| ~ 'p$u3'
| ~ 'p$u2'
| ~ 'p$u1'
| 'p$u0' ) ).
cnf(s1_2,axiom,
'p$u1' ).
cnf(s1_3,axiom,
'p$u2' ).
cnf(s1_4,axiom,
'p$u3' ).
cnf(s1_5,axiom,
'p$u4' ).
cnf(s1_6,axiom,
'p$u5' ).
cnf(s1_7,axiom,
'p$u6' ).
cnf(s1_8,axiom,
'p$u7' ).
cnf(s1_9,axiom,
'p$u8' ).
cnf(s1_10,axiom,
'p$u9' ).
cnf(s1_11,axiom,
'p$u10' ).
cnf(c0,plain,
~ 'p$u0',
inference(clausification,[status(esa)],[s1_goal_1]) ).
cnf(c1,plain,
( ~ 'p$u9'
| ~ 'p$u2'
| 'p$u0'
| ~ 'p$u10'
| ~ 'p$u6'
| ~ 'p$u5'
| ~ 'p$u7'
| ~ 'p$u8'
| ~ 'p$u3'
| ~ 'p$u1'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[s1_1]) ).
cnf(c2,plain,
'p$u1',
inference(clausification,[status(esa)],[s1_2]) ).
cnf(c3,plain,
'p$u2',
inference(clausification,[status(esa)],[s1_3]) ).
cnf(c4,plain,
'p$u3',
inference(clausification,[status(esa)],[s1_4]) ).
cnf(c5,plain,
'p$u4',
inference(clausification,[status(esa)],[s1_5]) ).
cnf(c6,plain,
'p$u5',
inference(clausification,[status(esa)],[s1_6]) ).
cnf(c7,plain,
'p$u6',
inference(clausification,[status(esa)],[s1_7]) ).
cnf(c8,plain,
'p$u7',
inference(clausification,[status(esa)],[s1_8]) ).
cnf(c9,plain,
'p$u8',
inference(clausification,[status(esa)],[s1_9]) ).
cnf(c10,plain,
'p$u9',
inference(clausification,[status(esa)],[s1_10]) ).
cnf(c11,plain,
'p$u10',
inference(clausification,[status(esa)],[s1_11]) ).
cnf(d0,plain,
( ~ 'p$u7'
| ~ 'p$u5'
| ~ 'p$u4'
| ~ 'p$u8'
| ~ 'p$u6'
| ~ 'p$u9'
| ~ 'p$u3'
| ~ 'p$u1'
| ~ 'p$u10'
| ~ 'p$u2' ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
( ~ 'p$u7'
| ~ 'p$u5'
| ~ 'p$u4'
| ~ 'p$u8'
| ~ 'p$u6'
| ~ 'p$u9'
| ~ 'p$u3'
| ~ 'p$u10'
| ~ 'p$u2' ),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
( ~ 'p$u7'
| ~ 'p$u5'
| ~ 'p$u4'
| ~ 'p$u8'
| ~ 'p$u6'
| ~ 'p$u9'
| ~ 'p$u3'
| ~ 'p$u10' ),
inference(resolution,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
( ~ 'p$u7'
| ~ 'p$u5'
| ~ 'p$u4'
| ~ 'p$u8'
| ~ 'p$u6'
| ~ 'p$u9'
| ~ 'p$u10' ),
inference(resolution,[status(thm)],[c4,d2]) ).
cnf(d4,plain,
( ~ 'p$u7'
| ~ 'p$u5'
| ~ 'p$u8'
| ~ 'p$u6'
| ~ 'p$u9'
| ~ 'p$u10' ),
inference(resolution,[status(thm)],[c5,d3]) ).
cnf(d5,plain,
( ~ 'p$u7'
| ~ 'p$u8'
| ~ 'p$u6'
| ~ 'p$u9'
| ~ 'p$u10' ),
inference(resolution,[status(thm)],[c6,d4]) ).
cnf(d6,plain,
( ~ 'p$u7'
| ~ 'p$u8'
| ~ 'p$u9'
| ~ 'p$u10' ),
inference(resolution,[status(thm)],[c7,d5]) ).
cnf(d7,plain,
( ~ 'p$u8'
| ~ 'p$u9'
| ~ 'p$u10' ),
inference(resolution,[status(thm)],[c8,d6]) ).
cnf(d8,plain,
( ~ 'p$u9'
| ~ 'p$u10' ),
inference(resolution,[status(thm)],[c9,d7]) ).
cnf(d9,plain,
~ 'p$u10',
inference(resolution,[status(thm)],[c10,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c11,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN085-1.010 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 17:06:18 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.43/1.49 % SZS status Unsatisfiable for theBenchmark.p
% 8.43/1.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------