%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN071-1 : 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 : 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 09:21:13 AM UTC 2026
% Result : Unsatisfiable 10.12s 4.74s
% Output : CNFRefutation 10.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 18 ( 8 unt; 7 nHn; 18 RR)
% Number of literals : 30 ( 29 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
( c = d
| a = b ) ).
cnf(clause_2,axiom,
( b = d
| a = c ) ).
cnf(clause_3,negated_conjecture,
a != d ).
cnf(clause_4,negated_conjecture,
b != c ).
cnf(c0,plain,
( c = d
| a = b ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
( b = d
| a = c ),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
a != d,
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
b != c,
inference(clausification,[status(esa)],[clause_4]) ).
cnf(d0,plain,
( c = d
| a != c ),
inference(superposition,[status(thm)],[c0,c3]) ).
cnf(d1,plain,
( a = c
| c = d
| a = d ),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d2,plain,
( a = c
| c = d ),
inference(resolution,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
( c = d
| c = d
| c != c ),
inference(superposition,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
c = d,
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
( a = c
| d != c ),
inference(superposition,[status(thm)],[c1,c3]) ).
cnf(d6,plain,
( a = c
| c != c ),
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
a != c,
inference(demodulation,[status(thm)],[c2,d4]) ).
cnf(d8,plain,
c != c,
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN071-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n026.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sat Sep 26 17:12:10 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.12/4.74 % SZS status Unsatisfiable for theBenchmark.p
% 10.12/4.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------