%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN719-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(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 : Thu Sep 24 03:17:09 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 16 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,negated_conjecture,
! [X13] : p14(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
p66(f12(c78,c77),c79),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
p67(f16(c80,c81),c82),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [X242,X243] : p70(f30(c88,X242),f38(c85,X243)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [X20] : p14(f23(f26(c84,c85),X20),X20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
~ p68(f19(f21(c83,c77),c79),c81),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
! [X229,X230] :
( ~ p70(X230,X229)
| p69(f36(c86,X229),X230) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f90,negated_conjecture,
! [X14,X15,X13] :
( ~ p14(X13,X15)
| ~ p14(X13,X14)
| p14(X14,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f126,negated_conjecture,
! [X221,X222,X224,X223] :
( ~ p69(f36(c86,f38(X223,f40(f42(f44(f46(c87,X221),X222),X223),X224))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(X222,f23(f26(c84,X223),X224))
| ~ p66(f12(c78,c77),X221)
| ~ p67(f16(c80,X224),c82)
| p68(f19(f21(c83,c77),X221),X222) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f164,plain,
! [X0] : p14(X0,X0),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f167,plain,
p66(f12(c78,c77),c79),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f168,plain,
p67(f16(c80,c81),c82),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f169,plain,
! [X0,X1] : p70(f30(c88,X0),f38(c85,X1)),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f171,plain,
! [X0] : p14(f23(f26(c84,c85),X0),X0),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f172,plain,
~ p68(f19(f21(c83,c77),c79),c81),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f178,plain,
! [X0,X1] :
( ~ p70(X1,X0)
| p69(f36(c86,X0),X1) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f253,plain,
! [X15,X13] :
( ~ p14(X13,X15)
| ! [X14] :
( ~ p14(X13,X14)
| p14(X14,X15) ) ),
inference(miniscoping,[status(thm)],[f90]) ).
fof(f254,plain,
! [X0,X1,X2] :
( ~ p14(X2,X1)
| ~ p14(X2,X0)
| p14(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f324,plain,
! [X0,X1,X2,X3] :
( ~ p69(f36(c86,f38(X3,f40(f42(f44(f46(c87,X0),X1),X3),X2))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(X1,f23(f26(c84,X3),X2))
| ~ p66(f12(c78,c77),X0)
| ~ p67(f16(c80,X2),c82)
| p68(f19(f21(c83,c77),X0),X1) ),
inference(cnf_transformation,[status(thm)],[f126]) ).
fof(f327,plain,
! [X0,X1] : p69(f36(c86,f38(c85,X0)),f30(c88,X1)),
inference(resolution,[status(thm)],[f178,f169]) ).
fof(f365,plain,
! [X0,X1] :
( ~ p14(f23(f26(c84,c85),X0),X1)
| p14(X0,X1) ),
inference(resolution,[status(thm)],[f254,f171]) ).
fof(f391,plain,
! [X0] : p14(X0,f23(f26(c84,c85),X0)),
inference(resolution,[status(thm)],[f365,f164]) ).
fof(f453,plain,
! [X0,X1,X2] :
( ~ p14(X1,f23(f26(c84,c85),X2))
| ~ p66(f12(c78,c77),X0)
| ~ p67(f16(c80,X2),c82)
| p68(f19(f21(c83,c77),X0),X1) ),
inference(resolution,[status(thm)],[f324,f327]) ).
fof(f498,plain,
! [X0,X1] :
( ~ p14(X0,f23(f26(c84,c85),X1))
| ~ p67(f16(c80,X1),c82)
| p68(f19(f21(c83,c77),c79),X0) ),
inference(resolution,[status(thm)],[f453,f167]) ).
fof(f634,plain,
! [X0] :
( ~ p67(f16(c80,X0),c82)
| p68(f19(f21(c83,c77),c79),X0) ),
inference(resolution,[status(thm)],[f498,f391]) ).
fof(f637,plain,
p68(f19(f21(c83,c77),c79),c81),
inference(resolution,[status(thm)],[f634,f168]) ).
fof(f638,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f637,f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN719-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n019.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 11:13:42 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.14/5.40 % Refutation found
% 0.14/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.43 % Elapsed time: 0.049827 seconds
% 0.14/5.43 % CPU time: 0.137329 seconds
% 0.14/5.43 % Total memory used: 18.723 MB
% 0.14/5.43 % Net memory used: 18.582 MB
%------------------------------------------------------------------------------