%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYO038-1.003.003 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 09:45:56 AM UTC 2026
% Result : Unsatisfiable 12.42s 7.01s
% Output : CNFRefutation 12.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of clauses : 48 ( 34 unt; 0 nHn; 36 RR)
% Number of literals : 62 ( 22 equ; 23 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 20 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax1,axiom,
f(X0,one) = s(one) ).
cnf(ax2,axiom,
f(one,s(X0)) = s(s(f(one,X0))) ).
cnf(ax3,axiom,
f(s(X0),s(X1)) = f(X0,f(s(X0),X1)) ).
cnf(ax4,axiom,
d(one) ).
cnf(ax5,axiom,
( d(s(X0))
| ~ d(X0) ) ).
cnf(conj,negated_conjecture,
~ d(f(s(s(one)),s(s(one)))) ).
cnf(c0,plain,
f(X0,one) = s(one),
inference(clausification,[status(esa)],[ax1]) ).
cnf(c1,plain,
f(one,s(X0)) = s(s(f(one,X0))),
inference(clausification,[status(esa)],[ax2]) ).
cnf(c2,plain,
f(s(X0),s(X1)) = f(X0,f(s(X0),X1)),
inference(clausification,[status(esa)],[ax3]) ).
cnf(c3,plain,
d(one),
inference(clausification,[status(esa)],[ax4]) ).
cnf(c4,plain,
( d(s(X0))
| ~ d(X0) ),
inference(clausification,[status(esa)],[ax5]) ).
cnf(c5,plain,
~ d(f(s(s(one)),s(s(one)))),
inference(clausification,[status(esa)],[conj]) ).
cnf(d0,plain,
( ~ d(s(f(one,X0)))
| d(f(one,s(X0))) ),
inference(superposition,[status(thm)],[c1,c4]) ).
cnf(d1,plain,
( ~ d(f(one,X0))
| d(f(one,s(X0))) ),
inference(resolution,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
f(one,s(one)) = s(s(s(one))),
inference(superposition,[status(thm)],[c0,c1]) ).
cnf(d3,plain,
( ~ d(f(one,one))
| d(s(s(s(one)))) ),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( d(s(s(s(one))))
| ~ d(s(one)) ),
inference(demodulation,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
( ~ d(f(one,s(f(one,X0))))
| d(f(one,f(one,s(X0)))) ),
inference(superposition,[status(thm)],[c1,d1]) ).
cnf(d6,plain,
( ~ d(f(one,f(one,X0)))
| d(f(one,f(one,s(X0)))) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( ~ d(f(one,f(one,one)))
| d(f(one,s(s(s(one))))) ),
inference(superposition,[status(thm)],[d2,d6]) ).
cnf(d8,plain,
( d(f(one,s(s(s(one)))))
| ~ d(f(one,s(one))) ),
inference(demodulation,[status(thm)],[d7,c0]) ).
cnf(d9,plain,
( d(f(one,s(s(s(one)))))
| ~ d(s(s(s(one)))) ),
inference(demodulation,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
f(one,s(s(one))) = s(s(s(s(s(one))))),
inference(superposition,[status(thm)],[d2,c1]) ).
cnf(d11,plain,
( ~ d(f(one,s(s(s(s(one))))))
| d(f(one,f(one,s(s(one))))) ),
inference(superposition,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
( ~ d(f(one,s(s(s(one)))))
| d(f(one,f(one,s(s(one))))) ),
inference(resolution,[status(thm)],[d11,d1]) ).
cnf(d13,plain,
f(s(X0),s(one)) = f(X0,s(one)),
inference(superposition,[status(thm)],[c0,c2]) ).
cnf(d14,plain,
f(s(X0),s(s(one))) = f(X0,f(X0,s(one))),
inference(superposition,[status(thm)],[d13,c2]) ).
cnf(d15,plain,
f(s(X0),s(s(s(one)))) = f(X0,f(X0,f(X0,s(one)))),
inference(superposition,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
f(f(one,s(X0)),s(one)) = f(s(f(one,X0)),s(one)),
inference(superposition,[status(thm)],[c1,d13]) ).
cnf(d17,plain,
f(f(one,s(X0)),s(one)) = f(f(one,X0),s(one)),
inference(demodulation,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
f(s(s(s(one))),s(one)) = f(f(one,one),s(one)),
inference(superposition,[status(thm)],[d2,d17]) ).
cnf(d19,plain,
f(s(s(one)),s(one)) = f(f(one,one),s(one)),
inference(demodulation,[status(thm)],[d18,d13]) ).
cnf(d20,plain,
f(s(one),s(one)) = f(f(one,one),s(one)),
inference(demodulation,[status(thm)],[d19,d13]) ).
cnf(d21,plain,
f(one,s(one)) = f(f(one,one),s(one)),
inference(demodulation,[status(thm)],[d20,d13]) ).
cnf(d22,plain,
s(s(s(one))) = f(f(one,one),s(one)),
inference(demodulation,[status(thm)],[d21,d2]) ).
cnf(d23,plain,
s(s(s(one))) = f(s(one),s(one)),
inference(demodulation,[status(thm)],[d22,c0]) ).
cnf(d24,plain,
s(s(s(one))) = f(one,s(one)),
inference(demodulation,[status(thm)],[d23,d13]) ).
cnf(d25,plain,
f(s(one),s(s(s(one)))) = f(one,f(one,s(s(s(one))))),
inference(superposition,[status(thm)],[d24,d15]) ).
cnf(d26,plain,
( ~ d(f(one,f(one,s(s(one)))))
| d(f(s(one),s(s(s(one))))) ),
inference(superposition,[status(thm)],[d25,d6]) ).
cnf(d27,plain,
f(s(s(X0)),s(s(one))) = f(s(X0),f(X0,s(one))),
inference(superposition,[status(thm)],[d13,d14]) ).
cnf(d28,plain,
~ d(f(s(one),f(one,s(one)))),
inference(demodulation,[status(thm)],[c5,d27]) ).
cnf(d29,plain,
~ d(f(s(one),s(s(s(one))))),
inference(demodulation,[status(thm)],[d28,d2]) ).
cnf(d30,plain,
~ d(f(one,f(one,s(s(one))))),
inference(resolution,[status(thm)],[d29,d26]) ).
cnf(d31,plain,
~ d(f(one,s(s(s(one))))),
inference(resolution,[status(thm)],[d30,d12]) ).
cnf(d32,plain,
~ d(s(s(s(one)))),
inference(resolution,[status(thm)],[d31,d9]) ).
cnf(d33,plain,
~ d(s(one)),
inference(resolution,[status(thm)],[d32,d4]) ).
cnf(d34,plain,
~ d(one),
inference(resolution,[status(thm)],[d33,c4]) ).
cnf(d35,plain,
$false,
inference(resolution,[status(thm)],[c3,d34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO038-1.003.003 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n003.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 26 18:57:45 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.42/7.01 % SZS status Unsatisfiable for theBenchmark.p
% 12.42/7.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------