%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN654-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 0.13s 0.44s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-8 aty)
% Number of variables : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X158] : p8(X158,X158),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ p8(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X159,X160,X158] :
( ~ p8(X158,X160)
| ~ p8(X158,X159)
| p8(X159,X160) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X8,X13,X5,X6,X7,X9,X3,X10,X11,X12,X14,X4] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p8(X8,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [X42,X37,X38,X39,X40,X41,X36,X43] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p8(X42,f16(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(f51,plain,
! [X0] : p8(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f58,plain,
~ p8(c22,c23),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f69,plain,
! [X160,X158] :
( ~ p8(X158,X160)
| ! [X159] :
( ~ p8(X158,X159)
| p8(X159,X160) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f86,plain,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f93,plain,
! [X8,X13] :
( ! [X5,X6,X7,X9,X3,X10,X11,X12,X14,X4] : ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p8(X8,X13) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f94,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ p3(f11(X2,X3,X4,X0,X5,X6),f11(X7,X8,X9,X1,X10,X11))
| p8(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f103,plain,
! [X42,X38,X39,X40,X41,X36,X43] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| ! [X37] : p8(X42,f16(X37,X38,X39,X40,X41,X36,X42,X43)) ),
inference(miniscoping,[status(thm)],[f36]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p21(f11(X2,X3,X6,X0,X7,X4),X5)
| p8(X0,f16(X1,X2,X3,X4,X5,X6,X0,X7)) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
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(f180,plain,
! [X0] : p8(c22,f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolution,[status(thm)],[f104,f86]) ).
fof(f254,plain,
! [X0,X1] :
( ~ p8(c22,X1)
| p8(f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),X1) ),
inference(resolution,[status(thm)],[f180,f70]) ).
fof(f329,plain,
! [X0] : p3(f11(c29,c30,c31,c23,c32,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f18(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f17(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f15(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),f14(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27))),
inference(resolution,[status(thm)],[f128,f86]) ).
fof(f434,plain,
! [X0] : p8(f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c22),
inference(resolution,[status(thm)],[f254,f51]) ).
fof(f451,plain,
! [X0,X1] :
( ~ p8(f16(X1,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),X0)
| p8(c22,X0) ),
inference(resolution,[status(thm)],[f434,f70]) ).
fof(f494,plain,
! [X0] : p8(c23,f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27)),
inference(resolution,[status(thm)],[f329,f94]) ).
fof(f530,plain,
! [X0,X1] :
( ~ p8(c23,X1)
| p8(f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),X1) ),
inference(resolution,[status(thm)],[f494,f70]) ).
fof(f583,plain,
! [X0] : p8(f16(X0,c24,c25,c28,f11(c29,c30,c31,c23,c32,c33),c26,c22,c27),c23),
inference(resolution,[status(thm)],[f530,f51]) ).
fof(f584,plain,
p8(c22,c23),
inference(resolution,[status(thm)],[f583,f451]) ).
fof(f597,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f584,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN654-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.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 : Mon Sep 21 11:11:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.46 % Elapsed time: 0.090722 seconds
% 0.13/0.46 % CPU time: 0.407114 seconds
% 0.13/0.46 % Total memory used: 63.615 MB
% 0.13/0.46 % Net memory used: 63.113 MB
%------------------------------------------------------------------------------