%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN710-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 03:17:08 PM UTC 2026
% Result : Unsatisfiable 0.73s 0.55s
% Output : CNFRefutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 14 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,negated_conjecture,
~ p33(f11(c46,c50),f9(c47,c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [X79,X80] :
( p33(f18(c51,f20(f22(c52,X79),X80)),X79)
| p33(f11(c46,X79),X80) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,negated_conjecture,
! [X79,X80] :
( ~ p33(f18(c51,f20(f22(c52,X79),X80)),X80)
| p33(f11(c46,X79),X80) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
! [X13,X14,X15] :
( ~ p33(f18(c51,X13),X15)
| p33(f18(c51,X13),f13(f16(c48,X14),X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [X81,X80,X79] :
( ~ p33(f18(c51,X81),X79)
| ~ p33(f11(c46,X79),X80)
| p33(f18(c51,X81),X80) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,plain,
~ p33(f11(c46,c50),f9(c47,c43)),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f156,plain,
p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f198,plain,
! [X0,X1] :
( p33(f18(c51,f20(f22(c52,X0),X1)),X0)
| p33(f11(c46,X0),X1) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f199,plain,
! [X0,X1] :
( ~ p33(f18(c51,f20(f22(c52,X0),X1)),X1)
| p33(f11(c46,X0),X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f202,plain,
! [X13,X15] :
( ~ p33(f18(c51,X13),X15)
| ! [X14] : p33(f18(c51,X13),f13(f16(c48,X14),X15)) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f203,plain,
! [X0,X1,X2] :
( ~ p33(f18(c51,X0),X2)
| p33(f18(c51,X0),f13(f16(c48,X1),X2)) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f212,plain,
! [X81,X79] :
( ~ p33(f18(c51,X81),X79)
| ! [X80] :
( ~ p33(f11(c46,X79),X80)
| p33(f18(c51,X81),X80) ) ),
inference(miniscoping,[status(thm)],[f80]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ~ p33(f18(c51,X0),X2)
| ~ p33(f11(c46,X2),X1)
| p33(f18(c51,X0),X1) ),
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f298,plain,
! [X0,X1,X2] :
( p33(f11(c46,X0),X1)
| p33(f18(c51,f20(f22(c52,X0),X1)),f13(f16(c48,X2),X0)) ),
inference(resolution,[status(thm)],[f203,f198]) ).
fof(f311,plain,
! [X0] :
( ~ p33(f18(c51,X0),f13(f16(c48,c49),c50))
| p33(f18(c51,X0),f9(c47,c43)) ),
inference(resolution,[status(thm)],[f213,f156]) ).
fof(f372,plain,
! [X0] :
( p33(f11(c46,c50),X0)
| p33(f18(c51,f20(f22(c52,c50),X0)),f9(c47,c43)) ),
inference(resolution,[status(thm)],[f311,f298]) ).
fof(f406,plain,
( p33(f11(c46,c50),f9(c47,c43))
| p33(f11(c46,c50),f9(c47,c43)) ),
inference(resolution,[status(thm)],[f372,f199]) ).
fof(f409,plain,
p33(f11(c46,c50),f9(c47,c43)),
inference(duplicate_literals_removal,[status(thm)],[f406]) ).
fof(f410,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f409,f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN710-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:12:22 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.73/0.55 % Refutation found
% 0.73/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.73/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.73/0.55 % Elapsed time: 0.185596 seconds
% 0.73/0.55 % CPU time: 1.174740 seconds
% 0.73/0.55 % Total memory used: 35.271 MB
% 0.73/0.55 % Net memory used: 32.757 MB
%------------------------------------------------------------------------------