%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN716-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 0.19s 0.51s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 77 ( 77 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
! [X92] : p32(X92,X92),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X44] : p2(X44,X44),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ p62(c67,c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
! [X199,X200,X202,X201] :
( ~ p32(X201,X200)
| ~ p62(X202,X201)
| ~ p4(X202,X199)
| p62(X199,X200) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
! [X7,X12,X8,X9,X10,X11] :
( ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12)
| p62(X7,X12) ),
file('/export/starexec/sandbox2/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/sandbox2/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,f23(f25(f27(f29(f31(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/sandbox2/benchmark/theBenchmark.p') ).
fof(f126,plain,
! [X0] : p32(X0,X0),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f134,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f140,plain,
~ p62(c67,c72),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f207,plain,
! [X200,X201] :
( ~ p32(X201,X200)
| ! [X202] :
( ~ p62(X202,X201)
| ! [X199] :
( ~ p4(X202,X199)
| p62(X199,X200) ) ) ),
inference(miniscoping,[status(thm)],[f68]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ~ p32(X3,X1)
| ~ p62(X2,X3)
| ~ p4(X2,X0)
| p62(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
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(f269,plain,
! [X7,X12] :
( ! [X8,X9,X10,X11] : ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12)
| p62(X7,X12) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f270,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1)
| p62(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f269]) ).
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(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,f23(f25(f27(f29(f31(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,
! [X0,X1] :
( ~ p32(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,f208]) ).
fof(f282,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)],[f280,f126]) ).
fof(f283,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)],[f282,f244]) ).
fof(f287,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)],[f283,f134]) ).
fof(f291,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)],[f287,f266]) ).
fof(f302,plain,
p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72),
inference(resolution,[status(thm)],[f291,f278]) ).
fof(f304,plain,
p62(c67,c72),
inference(resolution,[status(thm)],[f302,f270]) ).
fof(f307,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f304,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN716-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 % Computer : n017.cluster.edu
% 0.19/0.47 % Model : x86_64 x86_64
% 0.19/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.47 % Memory : 8046.5625MB
% 0.19/0.47 % OS : Linux 6.8.0-71-generic
% 0.19/0.47 % CPULimit : 300
% 0.19/0.47 % WCLimit : 300
% 0.19/0.47 % DateTime : Mon Sep 21 11:07:58 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.49 % Drodi V4.1.1
% 0.19/0.51 % Refutation found
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.59 % Elapsed time: 0.114228 seconds
% 0.22/0.59 % CPU time: 0.148290 seconds
% 0.22/0.59 % Total memory used: 12.195 MB
% 0.22/0.59 % Net memory used: 12.157 MB
%------------------------------------------------------------------------------