%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN604-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 03:16:54 PM UTC 2026
% Result : Unsatisfiable 6.28s 1.28s
% Output : CNFRefutation 6.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 48 ( 19 unt; 2 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 92 ( 46 ~; 44 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X31] : p3(X31,X31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X41] : p3(f4(f8(X41)),f12(X41)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X38] : p3(f12(f10(X38)),f10(X38)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X16] : p16(f10(f11(c21)),f12(X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X14,X15] :
( p16(X15,f12(X14))
| p16(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X32,X33,X31] :
( ~ p3(X31,X33)
| ~ p3(X31,X32)
| p3(X32,X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X11,X12,X13] :
( ~ p16(X13,X12)
| ~ p16(X11,X13)
| p16(X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X7,X8,X9,X10] :
( ~ p16(X9,X10)
| ~ p3(X10,X8)
| ~ p3(X9,X7)
| p16(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X54] : ~ p16(f4(f6(f7(c20,c18),X54)),f4(f6(f7(c20,c18),f13(X54)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X18] :
( ~ p16(f4(X18),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X18))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X19] :
( ~ p16(c19,f4(X19))
| p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X19))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
! [X0] : p3(f4(f8(X0)),f12(X0)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f38,plain,
! [X0] : p3(f12(f10(X0)),f10(X0)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f39,plain,
! [X0] : p16(f10(f11(c21)),f12(X0)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f40,plain,
! [X0,X1] :
( p16(X1,f12(X0))
| p16(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f54,plain,
! [X33,X31] :
( ~ p3(X31,X33)
| ! [X32] :
( ~ p3(X31,X32)
| p3(X32,X33) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f58,plain,
! [X12,X13] :
( ~ p16(X13,X12)
| ! [X11] :
( ~ p16(X11,X13)
| p16(X11,X12) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ p16(X2,X1)
| ~ p16(X0,X2)
| p16(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f62,plain,
! [X9,X10] :
( ~ p16(X9,X10)
| ! [X8] :
( ~ p3(X10,X8)
| ! [X7] :
( ~ p3(X9,X7)
| p16(X7,X8) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ~ p16(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p16(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f68,plain,
! [X0] : ~ p16(f4(f6(f7(c20,c18),X0)),f4(f6(f7(c20,c18),f13(X0)))),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f69,plain,
! [X0] :
( ~ p16(f4(X0),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0))) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f70,plain,
! [X0] :
( ~ p16(c19,f4(X0))
| p16(f4(f6(f7(c20,c18),f8(f10(f11(c21))))),f4(f6(f7(c20,c18),X0))) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f80,plain,
! [X0,X1] :
( ~ p3(f12(f10(X1)),X0)
| p3(X0,f10(X1)) ),
inference(resolution,[status(thm)],[f55,f38]) ).
fof(f84,plain,
! [X0,X1] :
( ~ p3(X1,X0)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[f55,f34]) ).
fof(f96,plain,
! [X0] : p3(f12(X0),f4(f8(X0))),
inference(resolution,[status(thm)],[f84,f37]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ p16(X2,X1)
| ~ p3(X2,X0)
| p16(X0,X1) ),
inference(resolution,[status(thm)],[f63,f34]) ).
fof(f119,plain,
~ p16(f4(f13(c23)),f12(c19)),
inference(resolution,[status(thm)],[f69,f68]) ).
fof(f124,plain,
! [X0,X1] :
( ~ p16(X1,f4(f6(f7(c20,c18),f8(f10(f11(c21))))))
| p16(X1,f4(f6(f7(c20,c18),X0)))
| ~ p16(c19,f4(X0)) ),
inference(resolution,[status(thm)],[f70,f59]) ).
fof(f138,plain,
! [X0] : p3(f4(f8(f10(X0))),f10(X0)),
inference(resolution,[status(thm)],[f80,f96]) ).
fof(f192,plain,
! [X0,X1] :
( ~ p3(f10(f11(c21)),X0)
| p16(X0,f12(X1)) ),
inference(resolution,[status(thm)],[f110,f39]) ).
fof(f199,plain,
p16(c19,f4(f13(c23))),
inference(resolution,[status(thm)],[f119,f40]) ).
fof(f207,plain,
! [X0] : p3(f10(X0),f4(f8(f10(X0)))),
inference(resolution,[status(thm)],[f138,f84]) ).
fof(f276,plain,
! [X0] :
( ~ p16(f4(f8(f10(f11(c21)))),f12(c19))
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0)))
| ~ p16(c19,f4(X0)) ),
inference(resolution,[status(thm)],[f124,f69]) ).
fof(f284,definition,
! [X0] :
( sQ6_spl
<=> ( p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0)))
| ~ p16(c19,f4(X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f285,plain,
! [X0] :
( ~ sQ6_spl
| p16(f4(f6(f7(c20,c18),c23)),f4(f6(f7(c20,c18),X0)))
| ~ p16(c19,f4(X0)) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,definition,
( sQ7_spl
<=> p16(f4(f8(f10(f11(c21)))),f12(c19)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( sQ7_spl
| ~ p16(f4(f8(f10(f11(c21)))),f12(c19)) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f276,f284,f287]) ).
fof(f536,plain,
! [X0] : p16(f4(f8(f10(f11(c21)))),f12(X0)),
inference(resolution,[status(thm)],[f192,f207]) ).
fof(f1411,plain,
( sQ7_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f289,f536]) ).
fof(f1420,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f1411]) ).
fof(f1437,plain,
( ~ sQ6_spl
| ~ p16(c19,f4(f13(c23))) ),
inference(resolution,[status(thm)],[f285,f68]) ).
fof(f1445,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1437,f199]) ).
fof(f1446,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f1445]) ).
fof(f1447,plain,
$false,
inference(sat_refutation,[status(thm)],[f290,f1420,f1446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN604-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.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 : Mon Sep 21 11:09:22 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 6.28/1.28 % Refutation found
% 6.28/1.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.28/1.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.28/1.30 % Elapsed time: 0.938462 seconds
% 6.28/1.30 % CPU time: 7.143639 seconds
% 6.28/1.30 % Total memory used: 63.524 MB
% 6.28/1.30 % Net memory used: 45.409 MB
%------------------------------------------------------------------------------