%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN655-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 1.09s 0.65s
% Output : CNFRefutation 1.09s
% 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(f2,negated_conjecture,
! [X177] : p9(X177,X177),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ p9(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X178,X179,X177] :
( ~ p9(X177,X179)
| ~ p9(X177,X178)
| p9(X178,X179) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X9,X14,X5,X6,X7,X8,X3,X10,X11,X12,X13,X4] :
( ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [X43,X37,X38,X39,X40,X41,X36,X42] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| p9(X43,f15(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(f50,plain,
! [X0] : p9(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
~ p9(c22,c23),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f67,plain,
! [X179,X177] :
( ~ p9(X177,X179)
| ! [X178] :
( ~ p9(X177,X178)
| p9(X178,X179) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ p9(X2,X1)
| ~ p9(X2,X0)
| p9(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f86,plain,
p21(f11(c24,c25,c26,c27,c22,c28),f11(c29,c30,c31,c32,c23,c33)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f91,plain,
! [X9,X14] :
( ! [X5,X6,X7,X8,X3,X10,X11,X12,X13,X4] : ~ p3(f11(X5,X6,X7,X8,X9,X3),f11(X10,X11,X12,X13,X14,X4))
| p9(X9,X14) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ p3(f11(X2,X3,X4,X5,X0,X6),f11(X7,X8,X9,X10,X1,X11))
| p9(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f101,plain,
! [X43,X38,X39,X40,X41,X36,X42] :
( ~ p21(f11(X38,X39,X36,X42,X43,X40),X41)
| ! [X37] : p9(X43,f15(X37,X38,X39,X40,X41,X36,X42,X43)) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f102,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p21(f11(X2,X3,X6,X7,X0,X4),X5)
| p9(X0,f15(X1,X2,X3,X4,X5,X6,X7,X0)) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
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(f172,plain,
! [X0] : p9(c22,f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(resolution,[status(thm)],[f102,f86]) ).
fof(f251,plain,
! [X0,X1] :
( ~ p9(c22,X1)
| p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),X1) ),
inference(resolution,[status(thm)],[f172,f68]) ).
fof(f329,plain,
! [X0] : p3(f11(c29,c30,c31,c32,c23,c33),f11(f19(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f18(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f17(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f16(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),f14(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22))),
inference(resolution,[status(thm)],[f128,f86]) ).
fof(f423,plain,
! [X0] : p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c22),
inference(resolution,[status(thm)],[f251,f50]) ).
fof(f431,plain,
! [X0,X1] :
( ~ p9(f15(X1,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),X0)
| p9(c22,X0) ),
inference(resolution,[status(thm)],[f423,f68]) ).
fof(f495,plain,
! [X0] : p9(c23,f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22)),
inference(resolution,[status(thm)],[f329,f92]) ).
fof(f541,plain,
! [X0,X1] :
( ~ p9(c23,X1)
| p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),X1) ),
inference(resolution,[status(thm)],[f495,f68]) ).
fof(f1114,plain,
! [X0] : p9(f15(X0,c24,c25,c28,f11(c29,c30,c31,c32,c23,c33),c26,c27,c22),c23),
inference(resolution,[status(thm)],[f541,f50]) ).
fof(f1117,plain,
p9(c22,c23),
inference(resolution,[status(thm)],[f1114,f431]) ).
fof(f1139,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1117,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN655-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:11:12 UTC 2026
% 0.03/0.37 % CPUTime :
% 0.03/0.38 % Drodi V4.1.1
% 1.09/0.65 % Refutation found
% 1.09/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.09/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.09/0.70 % Elapsed time: 0.310296 seconds
% 1.09/0.70 % CPU time: 2.142168 seconds
% 1.09/0.70 % Total memory used: 77.966 MB
% 1.09/0.70 % Net memory used: 75.967 MB
%------------------------------------------------------------------------------