%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN003-1.006 : 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 : n001.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 09:20:38 AM UTC 2026
% Result : Unsatisfiable 8.97s 1.57s
% Output : CNFRefutation 8.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 44 ( 19 unt; 0 nHn; 44 RR)
% Number of literals : 79 ( 0 equ; 40 neg)
% Maximal clause size : 3 ( 1 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(pqp_1,negated_conjecture,
( 'p$u2'
| ~ 'q$u1'
| ~ 'p$u1' ) ).
cnf(pqp_3,negated_conjecture,
( 'p$u4'
| ~ 'q$u3'
| ~ 'p$u3' ) ).
cnf(pqp_4,negated_conjecture,
( 'p$u5'
| ~ 'q$u4'
| ~ 'p$u4' ) ).
cnf(pqp_5,negated_conjecture,
( 'p$u6'
| ~ 'q$u5'
| ~ 'p$u5' ) ).
cnf(prp_2,negated_conjecture,
( 'p$u3'
| ~ 'r$u2'
| ~ 'p$u2' ) ).
cnf(qq_1,negated_conjecture,
( 'q$u1'
| ~ q ) ).
cnf(qq_3,negated_conjecture,
( 'q$u3'
| ~ q ) ).
cnf(qq_4,negated_conjecture,
( 'q$u4'
| ~ q ) ).
cnf(qq_5,negated_conjecture,
( 'q$u5'
| ~ q ) ).
cnf(rr_2,negated_conjecture,
( 'r$u2'
| ~ r ) ).
cnf(base_1,negated_conjecture,
'p$u1' ).
cnf(base_2,negated_conjecture,
~ 'p$u6' ).
cnf(base_3,negated_conjecture,
q ).
cnf(base_4,negated_conjecture,
r ).
cnf(c0,plain,
( 'p$u2'
| ~ 'q$u1'
| ~ 'p$u1' ),
inference(clausification,[status(esa)],[pqp_1]) ).
cnf(c2,plain,
( 'p$u4'
| ~ 'q$u3'
| ~ 'p$u3' ),
inference(clausification,[status(esa)],[pqp_3]) ).
cnf(c3,plain,
( 'p$u5'
| ~ 'q$u4'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[pqp_4]) ).
cnf(c4,plain,
( 'p$u6'
| ~ 'q$u5'
| ~ 'p$u5' ),
inference(clausification,[status(esa)],[pqp_5]) ).
cnf(c6,plain,
( 'p$u3'
| ~ 'r$u2'
| ~ 'p$u2' ),
inference(clausification,[status(esa)],[prp_2]) ).
cnf(c10,plain,
( 'q$u1'
| ~ q ),
inference(clausification,[status(esa)],[qq_1]) ).
cnf(c12,plain,
( 'q$u3'
| ~ q ),
inference(clausification,[status(esa)],[qq_3]) ).
cnf(c13,plain,
( 'q$u4'
| ~ q ),
inference(clausification,[status(esa)],[qq_4]) ).
cnf(c14,plain,
( 'q$u5'
| ~ q ),
inference(clausification,[status(esa)],[qq_5]) ).
cnf(c16,plain,
( 'r$u2'
| ~ r ),
inference(clausification,[status(esa)],[rr_2]) ).
cnf(c20,plain,
'p$u1',
inference(clausification,[status(esa)],[base_1]) ).
cnf(c21,plain,
~ 'p$u6',
inference(clausification,[status(esa)],[base_2]) ).
cnf(c22,plain,
q,
inference(clausification,[status(esa)],[base_3]) ).
cnf(c23,plain,
r,
inference(clausification,[status(esa)],[base_4]) ).
cnf(d0,plain,
'q$u4',
inference(resolution,[status(thm)],[c22,c13]) ).
cnf(d1,plain,
( 'p$u5'
| ~ 'p$u4' ),
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( ~ 'q$u5'
| ~ 'p$u5' ),
inference(resolution,[status(thm)],[c21,c4]) ).
cnf(d3,plain,
'q$u5',
inference(resolution,[status(thm)],[c22,c14]) ).
cnf(d4,plain,
~ 'p$u5',
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
~ 'p$u4',
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
'q$u3',
inference(resolution,[status(thm)],[c22,c12]) ).
cnf(d7,plain,
( 'p$u4'
| ~ 'p$u3' ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
( 'p$u2'
| ~ 'q$u1' ),
inference(resolution,[status(thm)],[c20,c0]) ).
cnf(d9,plain,
'q$u1',
inference(resolution,[status(thm)],[c22,c10]) ).
cnf(d10,plain,
'p$u2',
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( ~ 'r$u2'
| 'p$u3' ),
inference(resolution,[status(thm)],[d10,c6]) ).
cnf(d12,plain,
'r$u2',
inference(resolution,[status(thm)],[c23,c16]) ).
cnf(d13,plain,
'p$u3',
inference(resolution,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
'p$u4',
inference(resolution,[status(thm)],[d13,d7]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[d14,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN003-1.006 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n001.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sat Sep 26 17:09:14 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.97/1.57 % SZS status Unsatisfiable for theBenchmark.p
% 8.97/1.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------