%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 0.15s 5.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 15 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,negated_conjecture,
! [X72] : p29(X72,X72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X26] : p19(X26,X26),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
p46(f23(c58,c56),f20(c59,c60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
! [X33,X34] : p19(f25(f28(c64,X33),f34(c66,X34)),f34(X33,X34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [X142,X143,X145,X144] :
( ~ p19(X144,X143)
| ~ p47(X145,X144)
| ~ p30(X145,X142)
| p47(X142,X143) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,negated_conjecture,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [X89,X90,X91,X92] :
( ~ p29(X89,X91)
| ~ p19(X90,X92)
| p30(f31(X89,X90),f31(X91,X92)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f81,negated_conjecture,
! [X148,X149] :
( ~ p46(f23(c58,X148),f20(c59,X149))
| p47(f31(f33(c62,c63),f34(c66,X148)),X149) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [X146,X147] :
( ~ p47(f31(f33(c62,c63),X146),X147)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X146)),f25(f28(c64,c65),X147)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,plain,
! [X0] : p29(X0,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f104,plain,
! [X0] : p19(X0,X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f112,plain,
p46(f23(c58,c56),f20(c59,c60)),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f168,plain,
! [X0,X1] : p19(f25(f28(c64,X0),f34(c66,X1)),f34(X0,X1)),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f169,plain,
! [X143,X144] :
( ~ p19(X144,X143)
| ! [X145] :
( ~ p47(X145,X144)
| ! [X142] :
( ~ p30(X145,X142)
| p47(X142,X143) ) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ p19(X3,X1)
| ~ p47(X2,X3)
| ~ p30(X2,X0)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f169]) ).
fof(f177,plain,
~ p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f192,plain,
! [X89,X91] :
( ~ p29(X89,X91)
| ! [X90,X92] :
( ~ p19(X90,X92)
| p30(f31(X89,X90),f31(X91,X92)) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ p29(X0,X2)
| ~ p19(X1,X3)
| p30(f31(X0,X1),f31(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f210,plain,
! [X0,X1] :
( ~ p46(f23(c58,X0),f20(c59,X1))
| p47(f31(f33(c62,c63),f34(c66,X0)),X1) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f212,plain,
! [X0,X1] :
( ~ p47(f31(f33(c62,c63),X0),X1)
| p47(f31(f33(c62,c63),f25(f28(c64,c65),X0)),f25(f28(c64,c65),X1)) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f266,plain,
! [X0,X1,X2,X3] :
( ~ p29(X0,X3)
| p30(f31(X0,f25(f28(c64,X1),f34(c66,X2))),f31(X3,f34(X1,X2))) ),
inference(resolution,[status(thm)],[f193,f168]) ).
fof(f287,plain,
p47(f31(f33(c62,c63),f34(c66,c56)),c60),
inference(resolution,[status(thm)],[f210,f112]) ).
fof(f302,plain,
p47(f31(f33(c62,c63),f25(f28(c64,c65),f34(c66,c56))),f25(f28(c64,c65),c60)),
inference(resolution,[status(thm)],[f212,f287]) ).
fof(f308,plain,
! [X0,X1,X2] : p30(f31(X0,f25(f28(c64,X1),f34(c66,X2))),f31(X0,f34(X1,X2))),
inference(resolution,[status(thm)],[f266,f97]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
( ~ p19(X4,X3)
| ~ p47(f31(X0,f25(f28(c64,X1),f34(c66,X2))),X4)
| p47(f31(X0,f34(X1,X2)),X3) ),
inference(resolution,[status(thm)],[f308,f170]) ).
fof(f375,plain,
! [X0] :
( ~ p19(f25(f28(c64,c65),c60),X0)
| p47(f31(f33(c62,c63),f34(c65,c56)),X0) ),
inference(resolution,[status(thm)],[f311,f302]) ).
fof(f376,plain,
p47(f31(f33(c62,c63),f34(c65,c56)),f25(f28(c64,c65),c60)),
inference(resolution,[status(thm)],[f375,f104]) ).
fof(f377,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f376,f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN709-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n007.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Mon Sep 21 11:10:56 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.15/5.40 % Drodi V4.1.1
% 0.15/5.41 % Refutation found
% 0.15/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.44 % Elapsed time: 0.044987 seconds
% 0.15/5.44 % CPU time: 0.130023 seconds
% 0.15/5.44 % Total memory used: 26.970 MB
% 0.15/5.44 % Net memory used: 26.873 MB
%------------------------------------------------------------------------------