%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN715-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 0.10s 5.79s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 34 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 13 con; 0-2 aty)
% Number of variables : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,negated_conjecture,
! [X71] : p27(X71,X71),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X44] : p2(X44,X44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
! [X199,X200,X202,X201] :
( ~ p27(X201,X200)
| ~ p62(X202,X201)
| ~ p4(X202,X199)
| p62(X199,X200) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,negated_conjecture,
! [X123,X124,X125,X126] :
( ~ p3(X124,X126)
| ~ p2(X123,X125)
| p4(f5(X123,X124),f5(X125,X126)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
! [X203,X204,X205,X206] :
( ~ p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204)
| p62(X203,X204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,negated_conjecture,
! [X213,X214,X211,X212] :
( ~ p63(f24(f26(f30(c73,X211),X212),X213),X214)
| p63(f24(f26(f30(c73,X213),X214),X211),X212) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,negated_conjecture,
! [X10,X11,X8,X12,X9,X7] :
( ~ p62(f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11),X12)
| ~ p63(f24(f26(f30(c73,X10),X11),f31(X8,X12)),f28(X9,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,negated_conjecture,
! [X7,X8,X9,X10,X11] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X7),X8),X9)),X10),X11),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11)),f43(f45(f47(f49(f51(c75,X7),X8),X9),X10),X11)),f53(f55(f57(f59(f61(c76,X7),X8),X9),X10),X11))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f129,plain,
! [X0] : p27(X0,X0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f134,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f206,plain,
! [X200,X201] :
( ~ p27(X201,X200)
| ! [X202] :
( ~ p62(X202,X201)
| ! [X199] :
( ~ p4(X202,X199)
| p62(X199,X200) ) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( ~ p27(X3,X1)
| ~ p62(X2,X3)
| ~ p4(X2,X0)
| p62(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f206]) ).
fof(f210,plain,
p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f243,plain,
! [X124,X126] :
( ~ p3(X124,X126)
| ! [X123,X125] :
( ~ p2(X123,X125)
| p4(f5(X123,X124),f5(X125,X126)) ) ),
inference(miniscoping,[status(thm)],[f86]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f265,plain,
! [X203,X204] :
( ! [X205,X206] : ~ p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204)
| p62(X203,X204) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f266,plain,
! [X0,X1,X2,X3] :
( ~ p62(f5(c64,f16(f19(f21(c66,X0),X2),X3)),X1)
| p62(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f271,plain,
p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f272,plain,
! [X0,X1,X2,X3] :
( ~ p63(f24(f26(f30(c73,X2),X3),X0),X1)
| p63(f24(f26(f30(c73,X0),X1),X2),X3) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f274,plain,
! [X10,X11,X8,X12,X9] :
( ! [X7] : ~ p62(f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11),X12)
| ~ p63(f24(f26(f30(c73,X10),X11),f31(X8,X12)),f28(X9,X12)) ),
inference(miniscoping,[status(thm)],[f103]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p62(f33(f35(f37(f39(f41(c74,X5),X2),X4),X0),X1),X3)
| ~ p63(f24(f26(f30(c73,X0),X1),f31(X2,X3)),f28(X4,X3)) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X0),X1),X2)),X3),X4),f16(f19(f21(c66,f33(f35(f37(f39(f41(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f280,plain,
p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)),
inference(resolution,[status(thm)],[f272,f210]) ).
fof(f282,plain,
! [X0,X1] :
( ~ p27(c72,X1)
| ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X0)
| p62(X0,X1) ),
inference(resolution,[status(thm)],[f271,f207]) ).
fof(f299,plain,
! [X0] :
( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X0)
| p62(X0,c72) ),
inference(resolution,[status(thm)],[f282,f129]) ).
fof(f302,plain,
! [X0,X1] :
( ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X1)
| ~ p2(c64,X0)
| p62(f5(X0,X1),c72) ),
inference(resolution,[status(thm)],[f299,f244]) ).
fof(f325,plain,
! [X0] :
( ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X0)
| p62(f5(c64,X0),c72) ),
inference(resolution,[status(thm)],[f302,f134]) ).
fof(f326,plain,
! [X0,X1,X2] :
( p62(X0,c72)
| ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),f16(f19(f21(c66,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f325,f266]) ).
fof(f341,plain,
p62(f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71),c72),
inference(resolution,[status(thm)],[f326,f278]) ).
fof(f345,plain,
~ p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)),
inference(resolution,[status(thm)],[f341,f275]) ).
fof(f349,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f345,f280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN715-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.75 % Computer : n006.cluster.edu
% 0.10/5.75 % Model : x86_64 x86_64
% 0.10/5.75 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.75 % Memory : 8046.5625MB
% 0.10/5.75 % OS : Linux 6.8.0-71-generic
% 0.10/5.75 % CPULimit : 300
% 0.10/5.75 % WCLimit : 300
% 0.10/5.75 % DateTime : Mon Sep 21 11:12:35 UTC 2026
% 0.10/5.75 % CPUTime :
% 0.10/5.76 % Drodi V4.1.1
% 0.10/5.79 % Refutation found
% 0.10/5.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.82 % Elapsed time: 0.050271 seconds
% 0.14/5.82 % CPU time: 0.191484 seconds
% 0.14/5.82 % Total memory used: 61.940 MB
% 0.14/5.82 % Net memory used: 61.804 MB
%------------------------------------------------------------------------------