%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN079-1 : 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 : n010.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 09:21:15 AM UTC 2026
% Result : Unsatisfiable 9.59s 2.65s
% Output : CNFRefutation 9.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
'big$uf'(f(a,b),f(b,c)) ).
cnf(clause_2,axiom,
'big$uf'(f(b,c),f(a,c)) ).
cnf(clause_3,axiom,
( 'big$uf'(X0,X2)
| ~ 'big$uf'(X1,X2)
| ~ 'big$uf'(X0,X1) ) ).
cnf(prove_this,negated_conjecture,
~ 'big$uf'(f(a,b),f(a,c)) ).
cnf(c0,plain,
'big$uf'(f(a,b),f(b,c)),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
'big$uf'(f(b,c),f(a,c)),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
( 'big$uf'(X0,X2)
| ~ 'big$uf'(X1,X2)
| ~ 'big$uf'(X0,X1) ),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
~ 'big$uf'(f(a,b),f(a,c)),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(d0,plain,
( ~ 'big$uf'(X0,f(b,c))
| 'big$uf'(X0,f(a,c)) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
'big$uf'(f(a,b),f(a,c)),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN079-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.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 17:10:30 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.59/2.65 % SZS status Unsatisfiable for theBenchmark.p
% 9.59/2.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------