%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN083-1 : 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 : 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 09:21:16 AM UTC 2026
% Result : Unsatisfiable 9.51s 2.81s
% Output : CNFRefutation 9.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 6 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f_is_associative,axiom,
f(X0,f(X1,X2)) = f(f(X0,X1),X2) ).
cnf(prove_this,negated_conjecture,
f(a,f(b,f(c,d))) != f(f(f(a,b),c),d) ).
cnf(c0,plain,
f(X0,f(X1,X2)) = f(f(X0,X1),X2),
inference(clausification,[status(esa)],[f_is_associative]) ).
cnf(c1,plain,
f(a,f(b,f(c,d))) != f(f(f(a,b),c),d),
inference(clausification,[status(esa)],[prove_this]) ).
cnf(d0,plain,
f(a,f(b,f(c,d))) != f(f(a,b),f(c,d)),
inference(demodulation,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
f(a,f(b,f(c,d))) != f(a,f(b,f(c,d))),
inference(demodulation,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
$false,
inference(equality_resolution,[status(thm)],[d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN083-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 17:10:46 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.51/2.81 % SZS status Unsatisfiable for theBenchmark.p
% 9.51/2.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------