%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL058-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:06:41 PM UTC 2026
% Result : Unsatisfiable 181.19s 23.31s
% Output : CNFRefutation 153.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 26 unt; 2 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 75 ( 39 ~; 34 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 100 ( 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
~ is_a_theorem(implies(implies(a,b),implies(not(b),not(a)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f8,f7]) ).
fof(f24,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f23,f7]) ).
fof(f26,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(not(b),not(a))))
| ~ is_a_theorem(implies(implies(a,b),X0)) ),
inference(resolution,[status(thm)],[f24,f11]) ).
fof(f114,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[status(thm)],[f23,f9]) ).
fof(f115,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[status(thm)],[f23,f8]) ).
fof(f116,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[f23,f10]) ).
fof(f120,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f114,f7]) ).
fof(f127,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[f116,f7]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(X0,implies(X1,X3)))
| ~ is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3))) ),
inference(resolution,[status(thm)],[f24,f116]) ).
fof(f149,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(resolution,[status(thm)],[f24,f9]) ).
fof(f159,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(resolution,[status(thm)],[f127,f8]) ).
fof(f311,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f159,f7]) ).
fof(f320,plain,
! [X0,X1,X2,X3] :
( is_a_theorem(implies(implies(X2,X0),X3))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[f115,f7]) ).
fof(f444,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,a))
| ~ is_a_theorem(implies(implies(X0,b),implies(not(b),not(a)))) ),
inference(resolution,[status(thm)],[f26,f23]) ).
fof(f489,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f24,f23]) ).
fof(f635,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(resolution,[status(thm)],[f127,f311]) ).
fof(f677,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X1),X0))
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f149,f23]) ).
fof(f688,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f149,f635]) ).
fof(f695,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[f688,f9]) ).
fof(f924,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f120,f7]) ).
fof(f1127,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[status(thm)],[f677,f695]) ).
fof(f2668,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[f320,f1127]) ).
fof(f2866,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[f2668,f320]) ).
fof(f3239,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[f2866,f127]) ).
fof(f3268,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[f3239,f147]) ).
fof(f3299,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[f3268,f688]) ).
fof(f3313,plain,
! [X0,X1,X2] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f3299,f924]) ).
fof(f3470,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,a))
| ~ is_a_theorem(implies(not(b),X1))
| ~ is_a_theorem(implies(implies(X0,b),implies(X1,not(a)))) ),
inference(resolution,[status(thm)],[f489,f444]) ).
fof(f3925,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[f3313,f8]) ).
fof(f4508,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f3925,f7]) ).
fof(f6051,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[f4508,f2866]) ).
fof(f6130,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[f6051,f147]) ).
fof(f6141,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[f6130,f149]) ).
fof(f39206,plain,
( ~ is_a_theorem(implies(not(not(a)),a))
| ~ is_a_theorem(implies(not(b),implies(b,not(a)))) ),
inference(resolution,[status(thm)],[f3470,f2866]) ).
fof(f39271,definition,
( sQ699_spl
<=> is_a_theorem(implies(not(b),implies(b,not(a)))) ),
introduced(definition,[new_symbols(definition,[sQ699_spl])],[split_symbol_definition]) ).
fof(f39273,plain,
( sQ699_spl
| ~ is_a_theorem(implies(not(b),implies(b,not(a)))) ),
inference(component_clause,[status(thm)],[f39271]) ).
fof(f39279,definition,
( sQ701_spl
<=> is_a_theorem(implies(not(not(a)),a)) ),
introduced(definition,[new_symbols(definition,[sQ701_spl])],[split_symbol_definition]) ).
fof(f39281,plain,
( sQ701_spl
| ~ is_a_theorem(implies(not(not(a)),a)) ),
inference(component_clause,[status(thm)],[f39279]) ).
fof(f39282,plain,
( ~ sQ701_spl
| ~ sQ699_spl ),
inference(split_clause,[status(thm)],[f39206,f39271,f39279]) ).
fof(f39345,plain,
( sQ699_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f39273,f6130]) ).
fof(f39346,plain,
sQ699_spl,
inference(contradiction_clause,[status(thm)],[f39345]) ).
fof(f39347,plain,
( sQ701_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f39281,f6141]) ).
fof(f39348,plain,
sQ701_spl,
inference(contradiction_clause,[status(thm)],[f39347]) ).
fof(f39349,plain,
$false,
inference(sat_refutation,[status(thm)],[f39282,f39346,f39348]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL058-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n006.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 00:02:12 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 181.19/23.31 % Refutation found
% 181.19/23.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 181.19/23.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 68.67/23.41 % Elapsed time: 23.052109 seconds
% 68.67/23.41 % CPU time: 182.278340 seconds
% 68.67/23.41 % Total memory used: 789.669 MB
% 68.67/23.41 % Net memory used: 697.958 MB
%------------------------------------------------------------------------------