%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:17:00 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,negated_conjecture,
p23(f5(c27,c28),c30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [X45,X46,X47,X48] :
( ~ p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48)
| p23(f5(X45,f14(f16(f18(f20(c31,X46),X47),X45),X48)),X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [X46,X45,X47,X48,X51] :
( ~ p23(f5(f7(f10(c24,X46),X45),X47),X51)
| ~ p23(f5(X45,X51),X48)
| p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [X49,X50,X52] :
( ~ p23(f5(f7(f10(c24,c26),c27),X52),X50)
| ~ p23(f5(c27,X49),X52)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49),X50) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [X46,X45,X47,X48] :
( ~ p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48)
| p23(f5(f7(f10(c24,X46),X45),X47),f14(f16(f18(f20(c31,X46),X47),X45),X48)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,plain,
p23(f5(c27,c28),c30),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f83,plain,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f86,plain,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ~ p23(f5(f7(f10(c24,f12(c25,X1)),X0),X2),X3)
| p23(f5(X0,f14(f16(f18(f20(c31,X1),X2),X0),X3)),X3) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f112,plain,
! [X46,X45,X47,X51] :
( ~ p23(f5(f7(f10(c24,X46),X45),X47),X51)
| ! [X48] :
( ~ p23(f5(X45,X51),X48)
| p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4] :
( ~ p23(f5(f7(f10(c24,X0),X1),X2),X4)
| ~ p23(f5(X1,X4),X3)
| p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f114,plain,
! [X50,X52] :
( ~ p23(f5(f7(f10(c24,c26),c27),X52),X50)
| ! [X49] :
( ~ p23(f5(c27,X49),X52)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49),X50) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ p23(f5(f7(f10(c24,c26),c27),X2),X1)
| ~ p23(f5(c27,X0),X2)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),X1) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( ~ p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3)
| p23(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c31,X0),X2),X1),X3)) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f152,plain,
p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29),
inference(resolution,[status(thm)],[f110,f83]) ).
fof(f155,plain,
! [X0,X1] :
( ~ p23(f5(f7(f10(c24,X0),c27),X1),f14(f16(f18(f20(c31,c26),c30),c27),c29))
| p23(f5(f7(f10(c24,f12(c25,X0)),c27),X1),c29) ),
inference(resolution,[status(thm)],[f113,f152]) ).
fof(f165,plain,
! [X0] :
( ~ p23(f5(f7(f10(c24,c26),c27),c30),X0)
| p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),X0) ),
inference(resolution,[status(thm)],[f115,f58]) ).
fof(f171,plain,
p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(resolution,[status(thm)],[f116,f83]) ).
fof(f175,plain,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
inference(resolution,[status(thm)],[f171,f165]) ).
fof(f204,plain,
p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
inference(resolution,[status(thm)],[f155,f175]) ).
fof(f205,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f204,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN651-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n014.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 11:11:26 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.13/5.41 % Refutation found
% 0.13/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.43 % Elapsed time: 0.055636 seconds
% 0.13/5.43 % CPU time: 0.165879 seconds
% 0.13/5.43 % Total memory used: 57.772 MB
% 0.13/5.43 % Net memory used: 57.655 MB
%------------------------------------------------------------------------------