%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 08:00:12 AM UTC 2026
% Result : Unsatisfiable 17.55s 2.55s
% Output : CNFRefutation 17.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 22 unt; 0 nHn; 18 RR)
% Number of literals : 22 ( 21 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)) ).
cnf(clause_1,axiom,
tt = f(t,t) ).
cnf(clause_3,axiom,
ts = f(t,s) ).
cnf(clause_4,axiom,
'tt$uts' = f(tt,ts) ).
cnf(clause_7,axiom,
tk = f(t,k) ).
cnf(clause_9,axiom,
tsk = f(ts,k) ).
cnf(prove_equation,negated_conjecture,
f(t,tsk) != f('tt$uts',tk) ).
cnf(c_0,plain,
f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
inference(clausification,[status(esa)],[a1]) ).
cnf(c_9,plain,
tt = f(t,t),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c_11,plain,
ts = f(t,s),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c_12,plain,
'tt$uts' = f(tt,ts),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c_15,plain,
tk = f(t,k),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(c_17,plain,
tsk = f(ts,k),
inference(clausification,[status(esa)],[clause_9]) ).
cnf(c_19,plain,
f(t,tsk) != f('tt$uts',tk),
inference(clausification,[status(esa)],[prove_equation]) ).
cnf(d_0,plain,
f(t,f(X0,k)) = f(f(t,X0),tk),
inference(superposition,[status(thm)],[c_15,c_0]) ).
cnf(d_1,plain,
f(t,f(t,X0)) = f(tt,f(t,X0)),
inference(superposition,[status(thm)],[c_9,c_0]) ).
cnf(d_2,plain,
f(t,f(t,s)) = f(tt,ts),
inference(superposition,[status(thm)],[c_11,d_1]) ).
cnf(d_3,plain,
f(t,ts) = f(tt,ts),
inference(demodulation,[status(thm)],[d_2,c_11]) ).
cnf(d_4,plain,
f(t,ts) = 'tt$uts',
inference(demodulation,[status(thm)],[d_3,c_12]) ).
cnf(d_5,plain,
f(t,f(ts,k)) = f('tt$uts',tk),
inference(superposition,[status(thm)],[d_4,d_0]) ).
cnf(d_6,plain,
f(t,tsk) = f('tt$uts',tk),
inference(demodulation,[status(thm)],[d_5,c_17]) ).
cnf(d_7,plain,
$false,
inference(resolution,[status(thm)],[c_19,d_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LDA007-2 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.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 : Fri Sep 25 23:55:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.55/2.55 % SZS status Unsatisfiable for theBenchmark.p
% 17.55/2.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------