%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 09:21:47 AM UTC 2026
% Result : Unsatisfiable 8.81s 2.11s
% Output : CNFRefutation 8.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 2
% Syntax : Number of clauses : 40 ( 3 unt; 32 nHn; 16 RR)
% Number of literals : 156 ( 0 equ; 16 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 17 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 80 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( ~ p(X0,f1(X1),X2)
| ~ p(X0,f0(X0),X1) ) ).
cnf(clause2,negated_conjecture,
( p(h2(X2),X1,j2(X1))
| p(h1(X0),X2,j1(X1))
| p(h0,X0,j0(X1)) ) ).
cnf(c0,plain,
( ~ p(X0,f1(X1),X2)
| ~ p(X0,f0(X0),X1) ),
inference(clausification,[status(esa)],[clause1]) ).
cnf(c1,plain,
( p(h2(X2),X1,j2(X1))
| p(h1(X0),X2,j1(X1))
| p(h0,X0,j0(X1)) ),
inference(clausification,[status(esa)],[clause2]) ).
cnf(d0,plain,
( ~ p(h1(X0),f1(j1(X1)),X2)
| p(h0,X0,j0(X1))
| p(h2(f0(h1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
( p(h0,X0,j0(X2))
| p(h2(f1(j1(X1))),X2,j2(X2))
| p(h0,X0,j0(X1))
| p(h2(f0(h1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( ~ p(h0,f1(j0(X1)),X2)
| p(h0,f0(h0),j0(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( ~ p(h2(X1),f1(j2(f0(h2(X1)))),X2)
| p(h0,X0,j0(f0(h2(X1))))
| p(h1(X0),X1,j1(f0(h2(X1)))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d4,plain,
( p(h0,X2,j0(f0(h2(f1(j1(X1))))))
| p(h1(X2),f1(j1(X1)),j1(f0(h2(f1(j1(X1))))))
| p(h0,X0,j0(X1))
| p(h0,X0,j0(f1(j2(f0(h2(f1(j1(X1))))))))
| p(h2(f0(h1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d1,d3]) ).
cnf(d5,plain,
( p(h0,X2,j0(X1))
| p(h2(f0(h1(X2))),X1,j2(X1))
| p(h0,X0,j0(f1(j2(f0(h2(f1(j1(X1))))))))
| p(h0,X0,j0(X1))
| p(h0,X2,j0(f0(h2(f1(j1(X1))))))
| p(h2(f0(h1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
( p(h0,X0,j0(f1(j2(f0(h2(f1(j1(X1))))))))
| p(h0,X0,j0(X1))
| p(h0,X0,j0(f0(h2(f1(j1(X1))))))
| p(h0,X0,j0(X1))
| p(h2(f0(h1(X0))),X1,j2(X1)) ),
inference(factoring,[status(thm)],[d5]) ).
cnf(d7,plain,
( p(h0,f0(h0),j0(X2))
| p(h2(f0(h1(f0(h0)))),X2,j2(X2))
| p(h2(f1(j1(X2))),X0,j2(X0))
| p(h0,f1(j0(X0)),j0(f0(h2(f1(j1(X1))))))
| p(h0,f1(j0(X0)),j0(X1))
| p(h2(f0(h1(f1(j0(X0))))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( p(h0,f0(h0),j0(X3))
| p(h2(f0(h1(f0(h0)))),X3,j2(X3))
| p(h2(f1(j1(X3))),X1,j2(X1))
| p(h0,f0(h0),j0(X0))
| p(h0,f1(j0(X1)),j0(X2))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f0(h1(f1(j0(X1))))),X2,j2(X2))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
( p(h0,f0(h0),j0(X0))
| p(h0,f0(h0),j0(X0))
| p(h0,f1(j0(X1)),j0(X2))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f0(h1(f1(j0(X1))))),X2,j2(X2))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(factoring,[status(thm)],[d8]) ).
cnf(d10,plain,
( ~ p(h2(f0(h1(f1(j0(X1))))),f1(j2(f0(h2(f0(h1(f1(j0(X1)))))))),X2)
| p(h0,f0(h0),j0(X0))
| p(h0,f1(j0(X1)),j0(f0(h2(f0(h1(f1(j0(X1))))))))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d9,c0]) ).
cnf(d11,plain,
( p(h0,f0(h0),j0(X2))
| p(h0,f1(j0(X1)),j0(f1(j2(f0(h2(f0(h1(f1(j0(X1))))))))))
| p(h2(f0(h1(f0(h0)))),X2,j2(X2))
| p(h2(f1(j1(X2))),X1,j2(X1))
| p(h0,f0(h0),j0(X0))
| p(h0,f1(j0(X1)),j0(f0(h2(f0(h1(f1(j0(X1))))))))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
( p(h0,f0(h0),j0(X0))
| p(h0,f0(h0),j0(X0))
| p(h0,f1(j0(X1)),j0(f0(h2(f0(h1(f1(j0(X1))))))))
| p(h0,f1(j0(X1)),j0(f1(j2(f0(h2(f0(h1(f1(j0(X1))))))))))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(factoring,[status(thm)],[d11]) ).
cnf(d13,plain,
( p(h0,f0(h0),j0(X2))
| p(h2(f0(h1(f0(h0)))),X2,j2(X2))
| p(h2(f1(j1(X2))),X1,j2(X1))
| p(h0,f0(h0),j0(X0))
| p(h0,f1(j0(X1)),j0(f0(h2(f0(h1(f1(j0(X1))))))))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d12,d2]) ).
cnf(d14,plain,
( p(h0,f0(h0),j0(X0))
| p(h0,f0(h0),j0(X0))
| p(h0,f1(j0(X1)),j0(f0(h2(f0(h1(f1(j0(X1))))))))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(factoring,[status(thm)],[d13]) ).
cnf(d15,plain,
( p(h0,f0(h0),j0(X2))
| p(h2(f0(h1(f0(h0)))),X2,j2(X2))
| p(h2(f1(j1(X2))),X1,j2(X1))
| p(h0,f0(h0),j0(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d14,d2]) ).
cnf(d16,plain,
( p(h0,f0(h0),j0(X0))
| p(h0,f0(h0),j0(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(factoring,[status(thm)],[d15]) ).
cnf(d17,plain,
( ~ p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),X1)
| p(h0,f0(h0),j0(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0)) ),
inference(resolution,[status(thm)],[d16,c0]) ).
cnf(d18,plain,
( p(h0,f0(h0),j0(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0))
| p(h0,f0(h0),j0(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0)) ),
inference(resolution,[status(thm)],[d17,d16]) ).
cnf(d19,plain,
( ~ p(h2(f0(h1(f0(h0)))),f1(j2(f0(h2(f0(h1(f0(h0))))))),X0)
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(resolution,[status(thm)],[d18,c0]) ).
cnf(d20,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(resolution,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
( ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),X0)
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(resolution,[status(thm)],[d20,c0]) ).
cnf(d22,plain,
( p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(resolution,[status(thm)],[d21,d1]) ).
cnf(d23,plain,
( ~ p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),X1)
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),X0,j2(X0)) ),
inference(resolution,[status(thm)],[d22,c0]) ).
cnf(d24,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),X0,j2(X0))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),X0,j2(X0)) ),
inference(resolution,[status(thm)],[d23,d22]) ).
cnf(d25,plain,
( ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X0)
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(resolution,[status(thm)],[d24,c0]) ).
cnf(d26,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(resolution,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),j0(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))) ),
inference(resolution,[status(thm)],[d26,d21]) ).
cnf(d28,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(resolution,[status(thm)],[d27,d21]) ).
cnf(d29,plain,
~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),X0),
inference(resolution,[status(thm)],[d28,c0]) ).
cnf(d30,plain,
( p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),j0(X0))
| p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d29,d1]) ).
cnf(d31,plain,
( p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),X0,j2(X0))
| p(h2(f1(j1(X0))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[d29,d30]) ).
cnf(d32,plain,
( ~ p(h2(f1(j1(X0))),f1(j2(f0(h2(f1(j1(X0)))))),X1)
| p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),X0,j2(X0)) ),
inference(resolution,[status(thm)],[d31,c0]) ).
cnf(d33,plain,
( p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),X0,j2(X0))
| p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),X0,j2(X0)) ),
inference(resolution,[status(thm)],[d32,d31]) ).
cnf(d34,plain,
~ p(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0)))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f0(h1(f0(h0))))))))))))),X0),
inference(resolution,[status(thm)],[d33,c0]) ).
cnf(d35,plain,
$false,
inference(resolution,[status(thm)],[d34,d33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN313-1.001.002 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 17:32:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.81/2.11 % SZS status Unsatisfiable for theBenchmark.p
% 8.81/2.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------