%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN649-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [X87] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X87),c29)
| ~ p23(f5(c24,c25),X87) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [X49,X50] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50)
| p23(f5(c24,X49),f14(f22(c33,X50),X49)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [X45,X46,X47,X48] :
( ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
| p23(f5(X45,f14(f16(f18(f20(c30,X46),X47),X45),X48)),X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [X50,X49] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X50),X49)),X50) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [X46,X45,X47,X48,X51] :
( ~ p23(f5(f7(f10(c26,X46),X45),X47),X51)
| ~ p23(f5(X45,X51),X48)
| p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [X46,X45,X47,X48] :
( ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
| p23(f5(f7(f10(c26,X46),X45),X47),f14(f16(f18(f20(c30,X46),X47),X45),X48)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,plain,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f106,plain,
! [X0] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),c29)
| ~ p23(f5(c24,c25),X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f107,plain,
! [X0,X1] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),X1)
| p23(f5(c24,X0),f14(f22(c33,X1),X0)) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ~ p23(f5(f7(f10(c26,f12(c27,X1)),X0),X2),X3)
| p23(f5(X0,f14(f16(f18(f20(c30,X1),X2),X0),X3)),X3) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f109,plain,
! [X0,X1] :
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X0)
| p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X0),X1)),X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f110,plain,
! [X46,X45,X47,X51] :
( ~ p23(f5(f7(f10(c26,X46),X45),X47),X51)
| ! [X48] :
( ~ p23(f5(X45,X51),X48)
| p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4] :
( ~ p23(f5(f7(f10(c26,X0),X1),X2),X4)
| ~ p23(f5(X1,X4),X3)
| p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3)
| p23(f5(f7(f10(c26,X0),X1),X2),f14(f16(f18(f20(c30,X0),X2),X1),X3)) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f149,plain,
p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29),
inference(resolution,[status(thm)],[f108,f83]) ).
fof(f150,plain,
! [X0,X1] :
( ~ p23(f5(f7(f10(c26,X0),c24),X1),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29))
| p23(f5(f7(f10(c26,f12(c27,X0)),c24),X1),c29) ),
inference(resolution,[status(thm)],[f111,f149]) ).
fof(f154,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(resolution,[status(thm)],[f114,f83]) ).
fof(f155,plain,
p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
inference(resolution,[status(thm)],[f154,f109]) ).
fof(f156,plain,
p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
inference(resolution,[status(thm)],[f154,f107]) ).
fof(f201,plain,
p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29),
inference(resolution,[status(thm)],[f155,f150]) ).
fof(f356,plain,
~ p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
inference(resolution,[status(thm)],[f201,f106]) ).
fof(f364,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f356,f156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN649-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.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 11:14:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.036055 seconds
% 0.14/0.40 % CPU time: 0.094332 seconds
% 0.14/0.40 % Total memory used: 13.703 MB
% 0.14/0.40 % Net memory used: 13.631 MB
%------------------------------------------------------------------------------