%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 9.96s 2.86s
% Output : CNFRefutation 9.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of clauses : 56 ( 18 unt; 0 nHn; 56 RR)
% Number of literals : 118 ( 0 equ; 65 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 15 ( 14 usr; 15 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$u1' ) ).
cnf(pqp_2,negated_conjecture,
( 'p$u3'
| ~ 'q$u2'
| ~ 'p$u2' ) ).
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$u5' ) ).
cnf(pqp_6,negated_conjecture,
( 'p$u7'
| ~ 'q$u6'
| ~ 'p$u6' ) ).
cnf(pqq_1,negated_conjecture,
( 'q$u2'
| ~ 'q$u1'
| ~ 'p$u1' ) ).
cnf(pqq_2,negated_conjecture,
( 'q$u3'
| ~ 'q$u2'
| ~ 'p$u2' ) ).
cnf(pqq_3,negated_conjecture,
( 'q$u4'
| ~ 'q$u3'
| ~ 'p$u3' ) ).
cnf(pqq_4,negated_conjecture,
( 'q$u5'
| ~ 'q$u4'
| ~ 'p$u4' ) ).
cnf(pqq_5,negated_conjecture,
( 'q$u6'
| ~ 'q$u5'
| ~ 'p$u5' ) ).
cnf(pqq_6,negated_conjecture,
( 'q$u7'
| ~ 'q$u6'
| ~ 'p$u6' ) ).
cnf(base_1,negated_conjecture,
'p$u1' ).
cnf(base_2,negated_conjecture,
'q$u1' ).
cnf(base_3,negated_conjecture,
( ~ 'q$u7'
| ~ 'p$u7' ) ).
cnf(c0,plain,
( 'p$u2'
| ~ 'q$u1'
| ~ 'p$u1' ),
inference(clausification,[status(esa)],[pqp_1]) ).
cnf(c1,plain,
( 'p$u3'
| ~ 'q$u2'
| ~ 'p$u2' ),
inference(clausification,[status(esa)],[pqp_2]) ).
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$u5' ),
inference(clausification,[status(esa)],[pqp_5]) ).
cnf(c5,plain,
( 'p$u7'
| ~ 'q$u6'
| ~ 'p$u6' ),
inference(clausification,[status(esa)],[pqp_6]) ).
cnf(c6,plain,
( 'q$u2'
| ~ 'q$u1'
| ~ 'p$u1' ),
inference(clausification,[status(esa)],[pqq_1]) ).
cnf(c7,plain,
( 'q$u3'
| ~ 'q$u2'
| ~ 'p$u2' ),
inference(clausification,[status(esa)],[pqq_2]) ).
cnf(c8,plain,
( 'q$u4'
| ~ 'q$u3'
| ~ 'p$u3' ),
inference(clausification,[status(esa)],[pqq_3]) ).
cnf(c9,plain,
( 'q$u5'
| ~ 'q$u4'
| ~ 'p$u4' ),
inference(clausification,[status(esa)],[pqq_4]) ).
cnf(c10,plain,
( 'q$u6'
| ~ 'q$u5'
| ~ 'p$u5' ),
inference(clausification,[status(esa)],[pqq_5]) ).
cnf(c11,plain,
( 'q$u7'
| ~ 'q$u6'
| ~ 'p$u6' ),
inference(clausification,[status(esa)],[pqq_6]) ).
cnf(c12,plain,
'p$u1',
inference(clausification,[status(esa)],[base_1]) ).
cnf(c13,plain,
'q$u1',
inference(clausification,[status(esa)],[base_2]) ).
cnf(c14,plain,
( ~ 'q$u7'
| ~ 'p$u7' ),
inference(clausification,[status(esa)],[base_3]) ).
cnf(d0,plain,
( 'p$u2'
| ~ 'q$u1' ),
inference(resolution,[status(thm)],[c12,c0]) ).
cnf(d1,plain,
'p$u2',
inference(resolution,[status(thm)],[c13,d0]) ).
cnf(d2,plain,
( 'p$u3'
| ~ 'q$u2' ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( 'q$u2'
| ~ 'q$u1' ),
inference(resolution,[status(thm)],[c12,c6]) ).
cnf(d4,plain,
'q$u2',
inference(resolution,[status(thm)],[c13,d3]) ).
cnf(d5,plain,
'p$u3',
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
( 'p$u4'
| ~ 'q$u3' ),
inference(resolution,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
( 'q$u3'
| ~ 'q$u2' ),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d8,plain,
'q$u3',
inference(resolution,[status(thm)],[d4,d7]) ).
cnf(d9,plain,
'p$u4',
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
( 'p$u5'
| ~ 'q$u4' ),
inference(resolution,[status(thm)],[d9,c3]) ).
cnf(d11,plain,
( 'q$u4'
| ~ 'q$u3' ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d12,plain,
'q$u4',
inference(resolution,[status(thm)],[d8,d11]) ).
cnf(d13,plain,
'p$u5',
inference(resolution,[status(thm)],[d12,d10]) ).
cnf(d14,plain,
( 'p$u6'
| ~ 'q$u5' ),
inference(resolution,[status(thm)],[d13,c4]) ).
cnf(d15,plain,
( 'q$u5'
| ~ 'q$u4' ),
inference(resolution,[status(thm)],[d9,c9]) ).
cnf(d16,plain,
'q$u5',
inference(resolution,[status(thm)],[d12,d15]) ).
cnf(d17,plain,
'p$u6',
inference(resolution,[status(thm)],[d16,d14]) ).
cnf(d18,plain,
( 'p$u7'
| ~ 'q$u6' ),
inference(resolution,[status(thm)],[d17,c5]) ).
cnf(d19,plain,
( 'q$u6'
| ~ 'q$u5' ),
inference(resolution,[status(thm)],[d13,c10]) ).
cnf(d20,plain,
'q$u6',
inference(resolution,[status(thm)],[d16,d19]) ).
cnf(d21,plain,
'p$u7',
inference(resolution,[status(thm)],[d20,d18]) ).
cnf(d22,plain,
~ 'q$u7',
inference(resolution,[status(thm)],[d21,c14]) ).
cnf(d23,plain,
( 'q$u7'
| ~ 'q$u6' ),
inference(resolution,[status(thm)],[d17,c11]) ).
cnf(d24,plain,
'q$u7',
inference(resolution,[status(thm)],[d20,d23]) ).
cnf(d25,plain,
$false,
inference(resolution,[status(thm)],[d24,d22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN004-1.007 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n018.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sat Sep 26 17:05:52 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.96/2.86 % SZS status Unsatisfiable for theBenchmark.p
% 9.96/2.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------