%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN653-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 03:17:01 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.52s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 72 ( 40 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-8 aty)
% Number of variables : 155 ( 155 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X78] : p3(X78,X78),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X31] : p12(X31,X31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ p12(f13(c22),f13(c23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X34,X35] :
( ~ p7(X34,X35)
| p12(f13(X34),f13(X35)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X79,X80,X78] :
( ~ p3(X78,X80)
| ~ p3(X78,X79)
| p3(X79,X80) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X32,X33,X31] :
( ~ p12(X31,X33)
| ~ p12(X31,X32)
| p12(X32,X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X7,X12,X5,X6,X8,X9,X3,X10,X11,X13,X14,X4] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p7(X7,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X36,X37,X38,X39,X40,X41,X42,X43] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p12(f13(X36),f13(f17(X37,X38,X39,X40,X41,X36,X42,X43))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [X41,X37,X38,X39,X40,X36,X42,X43] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f57,plain,
! [X0] : p12(X0,X0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f58,plain,
~ p12(f13(c22),f13(c23)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f62,plain,
! [X0,X1] :
( ~ p7(X0,X1)
| p12(f13(X0),f13(X1)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f77,plain,
! [X80,X78] :
( ~ p3(X78,X80)
| ! [X79] :
( ~ p3(X78,X79)
| p3(X79,X80) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f81,plain,
! [X33,X31] :
( ~ p12(X31,X33)
| ! [X32] :
( ~ p12(X31,X32)
| p12(X32,X33) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f86,plain,
p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f95,plain,
! [X7,X12] :
( ! [X5,X6,X8,X9,X3,X10,X11,X13,X14,X4] : ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p7(X7,X12) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f96,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ p3(f11(X2,X3,X0,X4,X5,X6),f11(X7,X8,X1,X9,X10,X11))
| p7(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f105,plain,
! [X36,X38,X39,X40,X41,X42,X43] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| ! [X37] : p12(f13(X36),f13(f17(X37,X38,X39,X40,X41,X36,X42,X43))) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f106,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p21(f11(X2,X3,X0,X6,X7,X4),X5)
| p12(f13(X0),f13(f17(X1,X2,X3,X4,X5,X0,X6,X7))) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f127,plain,
! [X41,X38,X39,X40,X36,X42,X43] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| ! [X37] : p3(X41,f11(f19(X37,X38,X39,X40,X41,X36,X42,X43),f18(X37,X38,X39,X40,X41,X36,X42,X43),f17(X37,X38,X39,X40,X41,X36,X42,X43),f16(X37,X38,X39,X40,X41,X36,X42,X43),f15(X37,X38,X39,X40,X41,X36,X42,X43),f14(X37,X38,X39,X40,X41,X36,X42,X43))) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p21(f11(X2,X3,X5,X6,X7,X4),X0)
| p3(X0,f11(f19(X1,X2,X3,X4,X0,X5,X6,X7),f18(X1,X2,X3,X4,X0,X5,X6,X7),f17(X1,X2,X3,X4,X0,X5,X6,X7),f16(X1,X2,X3,X4,X0,X5,X6,X7),f15(X1,X2,X3,X4,X0,X5,X6,X7),f14(X1,X2,X3,X4,X0,X5,X6,X7))) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f138,plain,
! [X0] :
( ~ p12(X0,f13(c23))
| ~ p12(X0,f13(c22)) ),
inference(resolution,[status(thm)],[f82,f58]) ).
fof(f141,plain,
! [X0,X1] :
( ~ p12(X1,f13(c22))
| ~ p12(X1,X0)
| ~ p12(X0,f13(c23)) ),
inference(resolution,[status(thm)],[f138,f82]) ).
fof(f148,plain,
! [X0] :
( ~ p12(f13(c22),X0)
| ~ p12(X0,f13(c23)) ),
inference(resolution,[status(thm)],[f141,f57]) ).
fof(f171,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ p3(X2,f11(X8,X9,X1,X10,X11,X12))
| ~ p3(X2,f11(X3,X4,X0,X5,X6,X7))
| p7(X0,X1) ),
inference(resolution,[status(thm)],[f96,f78]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p12(f13(f17(X6,X0,X1,X4,X5,c22,X2,X3)),f13(c23))
| ~ p21(f11(X0,X1,c22,X2,X3,X4),X5) ),
inference(resolution,[status(thm)],[f106,f148]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ p3(f11(X2,X3,X1,X4,X5,X6),f11(X7,X8,X0,X9,X10,X11))
| p7(X0,X1) ),
inference(resolution,[status(thm)],[f171,f55]) ).
fof(f319,plain,
! [X0] : p3(f11(c29,c30,c23,c31,c32,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f18(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f16(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f15(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),f14(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27))),
inference(resolution,[status(thm)],[f128,f86]) ).
fof(f329,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p7(f17(X6,X0,X1,X4,X5,c22,X2,X3),c23)
| ~ p21(f11(X0,X1,c22,X2,X3,X4),X5) ),
inference(resolution,[status(thm)],[f198,f62]) ).
fof(f369,plain,
! [X0] : p7(f17(X0,c24,c25,c28,f11(c29,c30,c23,c31,c32,c33),c22,c26,c27),c23),
inference(resolution,[status(thm)],[f319,f200]) ).
fof(f394,plain,
~ p21(f11(c24,c25,c22,c26,c27,c28),f11(c29,c30,c23,c31,c32,c33)),
inference(resolution,[status(thm)],[f369,f329]) ).
fof(f407,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f394,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN653-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:11:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.52 % Refutation found
% 0.10/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.53 % Elapsed time: 0.158367 seconds
% 0.10/0.53 % CPU time: 1.055390 seconds
% 0.10/0.53 % Total memory used: 72.217 MB
% 0.10/0.53 % Net memory used: 70.351 MB
%------------------------------------------------------------------------------