%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LDA007-3 : 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 : n016.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 08:00:13 AM UTC 2026
% Result : Unsatisfiable 6.38s 12.18s
% Output : CNFRefutation 6.38s
% 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_2,axiom,
ts = f(t,s) ).
cnf(clause_3,axiom,
'tt$uts' = f(tt,ts) ).
cnf(clause_4,axiom,
tk = f(t,k) ).
cnf(clause_5,axiom,
tsk = f(ts,k) ).
cnf(prove_equation,negated_conjecture,
f(t,tsk) != f('tt$uts',tk) ).
cnf(c0,plain,
f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
inference(clausification,[status(esa)],[a1]) ).
cnf(c1,plain,
tt = f(t,t),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c2,plain,
ts = f(t,s),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c3,plain,
'tt$uts' = f(tt,ts),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c4,plain,
tk = f(t,k),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c5,plain,
tsk = f(ts,k),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c6,plain,
f(t,tsk) != f('tt$uts',tk),
inference(clausification,[status(esa)],[prove_equation]) ).
cnf(d0,plain,
f(t,f(X0,k)) = f(f(t,X0),tk),
inference(superposition,[status(thm)],[c4,c0]) ).
cnf(d1,plain,
f(t,f(t,X0)) = f(tt,f(t,X0)),
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d2,plain,
f(t,f(t,s)) = f(tt,ts),
inference(superposition,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
f(t,ts) = f(tt,ts),
inference(demodulation,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
f(t,ts) = 'tt$uts',
inference(demodulation,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
f(t,f(ts,k)) = f('tt$uts',tk),
inference(superposition,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
f(t,tsk) = f('tt$uts',tk),
inference(demodulation,[status(thm)],[d5,c5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c6,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LDA007-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n016.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sat Sep 26 00:00:55 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.38/12.18 % SZS status Unsatisfiable for theBenchmark.p
% 6.38/12.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------