%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN055-1 : 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 : n026.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 09:20:58 AM UTC 2026
% Result : Unsatisfiable 9.25s 7.57s
% Output : CNFRefutation 9.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 8 unt; 6 nHn; 25 RR)
% Number of literals : 49 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
'big$up'(a) ).
cnf(clause_2,axiom,
( ~ 'big$ur'(X0)
| ~ 'big$ug'(X0)
| ~ 'big$uf'(X0) ) ).
cnf(clause_3,axiom,
( 'big$uf'(X0)
| ~ 'big$up'(X0) ) ).
cnf(clause_4,axiom,
( 'big$ug'(X0)
| ~ 'big$up'(X0) ) ).
cnf(clause_5,axiom,
( 'big$up'(b)
| 'big$uq'(X0)
| ~ 'big$up'(X0) ) ).
cnf(clause_6,negated_conjecture,
( 'big$ur'(b)
| 'big$uq'(X0)
| ~ 'big$up'(X0) ) ).
cnf(clause_7,negated_conjecture,
( ~ 'big$up'(X0)
| ~ 'big$uq'(X0) ) ).
cnf(c0,plain,
'big$up'(a),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( ~ 'big$ur'(X0)
| ~ 'big$ug'(X0)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( 'big$uf'(X0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( 'big$ug'(X0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
( 'big$up'(b)
| 'big$uq'(X0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
( 'big$ur'(b)
| 'big$uq'(X0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
( ~ 'big$up'(X0)
| ~ 'big$uq'(X0) ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(d0,plain,
( 'big$uq'(a)
| 'big$ur'(b) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d1,plain,
( ~ 'big$ug'(b)
| ~ 'big$uf'(b)
| 'big$uq'(a) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( 'big$uq'(a)
| 'big$up'(b) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d3,plain,
( ~ 'big$up'(a)
| 'big$up'(b) ),
inference(resolution,[status(thm)],[d2,c6]) ).
cnf(d4,plain,
'big$up'(b),
inference(resolution,[status(thm)],[c0,d3]) ).
cnf(d5,plain,
'big$ug'(b),
inference(resolution,[status(thm)],[d4,c3]) ).
cnf(d6,plain,
( 'big$uq'(a)
| ~ 'big$uf'(b) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
'big$uf'(b),
inference(resolution,[status(thm)],[d4,c2]) ).
cnf(d8,plain,
'big$uq'(a),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
~ 'big$up'(a),
inference(resolution,[status(thm)],[d8,c6]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c0,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN055-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.53 % Computer : n026.cluster.edu
% 0.09/5.53 % Model : x86_64 x86_64
% 0.09/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.53 % Memory : 8046.5625MB
% 0.09/5.53 % OS : Linux 6.8.0-71-generic
% 0.09/5.53 % CPULimit : 300
% 0.09/5.53 % WCLimit : 300
% 0.09/5.53 % DateTime : Sat Sep 26 17:10:17 UTC 2026
% 0.09/5.54 % CPUTime :
% 0.09/5.54 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.25/7.57 % SZS status Unsatisfiable for theBenchmark.p
% 9.25/7.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------