%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL095-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 01:06:47 PM UTC 2026
% Result : Unsatisfiable 11.91s 1.95s
% Output : CNFRefutation 11.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 85 ( 9 unt; 11 def)
% Number of atoms : 270 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 355 ( 170 ~; 174 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 13 ( 12 usr; 12 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 329 ( 329 !; 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,
! [P,Q,R,S,T] : is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X4,implies(X2,X0)))
| ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f8,f5]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( is_a_theorem(implies(X7,implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1))))))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0))))) ),
inference(resolution,[status(thm)],[f9,f6]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ is_a_theorem(implies(implies(X2,X7),implies(X1,X5)))
| is_a_theorem(implies(X6,implies(X4,implies(X0,implies(X1,X2)))))
| ~ is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X5,X2)))) ),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( is_a_theorem(implies(X8,implies(X5,implies(X0,implies(implies(X1,X2),implies(X2,X3))))))
| ~ is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(X7,X2)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f11,f6]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ is_a_theorem(implies(implies(implies(X5,X2),X6),implies(implies(X3,X7),implies(implies(X2,X3),implies(X4,implies(X5,X3))))))
| is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3)))))) ),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ is_a_theorem(implies(implies(implies(X4,implies(X5,X3)),X6),implies(implies(X2,X3),implies(X5,X2))))
| is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3)))))) ),
inference(resolution,[status(thm)],[f14,f8]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X3),implies(X3,implies(X4,X3)))))),
inference(resolution,[status(thm)],[f17,f6]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ is_a_theorem(implies(implies(X2,X6),implies(X5,implies(X4,implies(X5,X3)))))
| is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X5,X3)))))) ),
inference(resolution,[status(thm)],[f17,f8]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),implies(X4,X3)),implies(X5,implies(X3,implies(X4,X3))))))),
inference(resolution,[status(thm)],[f18,f10]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5,X6] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,implies(X3,X2)),X4),implies(X5,implies(implies(implies(X6,X2),X2),X4)))))),
inference(resolution,[status(thm)],[f18,f17]) ).
fof(f27,definition,
! [X0] :
( sQ0_spl
<=> ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f28,plain,
! [X0] :
( ~ sQ0_spl
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f27]) ).
fof(f34,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6,f28]) ).
fof(f36,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f34]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4,X5] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,X3)),implies(X5,implies(X3,implies(X4,X3))))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f20,f5]) ).
fof(f57,definition,
! [X1,X2,X3,X4,X5] :
( sQ3_spl
<=> is_a_theorem(implies(X1,implies(implies(implies(X2,X3),implies(X4,X3)),implies(X5,implies(X3,implies(X4,X3)))))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2)))))) ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f56,f27,f57]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ3_spl
| is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f58,f5]) ).
fof(f64,definition,
! [X1,X2,X3,X4] :
( sQ4_spl
<=> is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X4,implies(X2,implies(X3,X2))))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ sQ4_spl
| is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X3,implies(X1,implies(X2,X1))))) ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( ~ sQ3_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f63,f27,f64,f57]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X2)),X4),implies(X5,implies(implies(implies(X6,X2),X2),X4)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f21,f5]) ).
fof(f91,definition,
! [X1,X2,X3,X4,X5,X6] :
( sQ6_spl
<=> is_a_theorem(implies(X1,implies(implies(implies(X2,implies(X3,X2)),X4),implies(X5,implies(implies(implies(X6,X2),X2),X4))))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f92,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ6_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,implies(implies(implies(X5,X1),X1),X3))))) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f90,f27,f91]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ6_spl
| is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,implies(implies(implies(X5,X1),X1),X3))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f92,f5]) ).
fof(f99,definition,
! [X1,X2,X3,X4,X5] :
( sQ7_spl
<=> is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X3),implies(X4,implies(implies(implies(X5,X1),X1),X3)))) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ7_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,implies(implies(implies(X4,X0),X0),X2)))) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,plain,
( ~ sQ6_spl
| sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f98,f27,f99,f91]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ7_spl
| is_a_theorem(implies(X3,implies(implies(implies(X4,X0),X0),X2)))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f100,f5]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ7_spl
| is_a_theorem(implies(implies(implies(X4,X0),X0),X2))
| ~ is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f104,f5]) ).
fof(f109,definition,
! [X0,X1,X2,X4] :
( sQ8_spl
<=> ( is_a_theorem(implies(implies(implies(X4,X0),X0),X2))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| is_a_theorem(implies(implies(implies(X3,X0),X0),X2))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( ~ sQ7_spl
| sQ0_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f108,f109,f27,f99]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( is_a_theorem(implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))
| ~ is_a_theorem(X7)
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0))))) ),
inference(resolution,[status(thm)],[f10,f5]) ).
fof(f182,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ13_spl
<=> ( is_a_theorem(implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0))))) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ13_spl
| is_a_theorem(implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1)))))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0))))) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( sQ0_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f181,f182,f27]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( is_a_theorem(implies(X6,implies(implies(X0,X4),implies(X3,implies(X2,X4)))))
| ~ is_a_theorem(X5)
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f19,f5]) ).
fof(f227,definition,
! [X0,X1,X2,X3,X4,X6] :
( sQ18_spl
<=> ( is_a_theorem(implies(X6,implies(implies(X0,X4),implies(X3,implies(X2,X4)))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4))))) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ18_spl
| is_a_theorem(implies(X5,implies(implies(X0,X4),implies(X3,implies(X2,X4)))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4))))) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( sQ0_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f226,f227,f27]) ).
fof(f237,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ18_spl
| is_a_theorem(implies(implies(X0,X4),implies(X3,implies(X2,X4))))
| ~ is_a_theorem(X5)
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f228,f5]) ).
fof(f238,definition,
! [X0,X1,X2,X3,X4] :
( sQ19_spl
<=> ( is_a_theorem(implies(implies(X0,X4),implies(X3,implies(X2,X4))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4))))) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| is_a_theorem(implies(implies(X0,X4),implies(X3,implies(X2,X4))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4))))) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( ~ sQ18_spl
| sQ0_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f237,f238,f27,f227]) ).
fof(f243,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ19_spl
| is_a_theorem(implies(X3,implies(X2,X4)))
| ~ is_a_theorem(implies(X0,X4))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,implies(X2,X4))))) ),
inference(resolution,[status(thm)],[f239,f5]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| is_a_theorem(implies(X2,implies(implies(X3,X0),X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f243,f6]) ).
fof(f271,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| is_a_theorem(implies(implies(X3,X0),X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f245,f5]) ).
fof(f272,definition,
! [X0,X1,X3] :
( sQ20_spl
<=> ( is_a_theorem(implies(implies(X3,X0),X0))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f273,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| is_a_theorem(implies(implies(X2,X0),X0))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( ~ sQ19_spl
| sQ0_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f271,f272,f27,f238]) ).
fof(f284,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| is_a_theorem(X0)
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f273,f5]) ).
fof(f290,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ sQ20_spl
| ~ is_a_theorem(implies(implies(X2,implies(X3,X2)),implies(X1,X2)))
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f284,f110]) ).
fof(f342,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( is_a_theorem(implies(X5,implies(X0,implies(implies(X1,X2),implies(X2,X3)))))
| ~ is_a_theorem(X8)
| ~ is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(X7,X2)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f12,f5]) ).
fof(f344,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ24_spl
<=> ( is_a_theorem(implies(X5,implies(X0,implies(implies(X1,X2),implies(X2,X3)))))
| ~ is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(X7,X2)),implies(X2,X3))))) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f345,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ24_spl
| is_a_theorem(implies(X5,implies(X0,implies(implies(X1,X2),implies(X2,X3)))))
| ~ is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(X7,X2)),implies(X2,X3))))) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( sQ0_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f342,f344,f27]) ).
fof(f834,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X1),implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f183,f65]) ).
fof(f907,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ4_spl
| ~ sQ13_spl
| is_a_theorem(implies(implies(implies(X1,implies(X2,X1)),X1),implies(X1,implies(X2,X1))))
| ~ is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X1),implies(X1,implies(X2,X1))))) ),
inference(resolution,[status(thm)],[f834,f290]) ).
fof(f919,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ4_spl
| ~ sQ13_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X0),implies(X0,implies(X1,X0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f907,f834]) ).
fof(f930,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ13_spl
| is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f919,f284]) ).
fof(f947,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ4_spl
| ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(resolution,[status(thm)],[f930,f919]) ).
fof(f1478,plain,
! [X0,X1,X2,X3] :
( ~ sQ24_spl
| is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))) ),
inference(resolution,[status(thm)],[f345,f6]) ).
fof(f1622,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sQ24_spl
| is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1))))) ),
inference(resolution,[status(thm)],[f1478,f183]) ).
fof(f1638,plain,
! [X0,X1,X2,X3] :
( ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ24_spl
| is_a_theorem(implies(X2,implies(implies(implies(X0,X3),X1),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f1622,f243]) ).
fof(f1805,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ24_spl
| is_a_theorem(implies(implies(implies(X0,X3),X1),X1))
| ~ is_a_theorem(implies(X2,implies(implies(implies(X0,X3),X1),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f1638,f290]) ).
fof(f1815,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ24_spl
| is_a_theorem(implies(implies(implies(X0,X2),X1),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1805,f1638]) ).
fof(f1839,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ24_spl
| is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X2),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f1815,f5]) ).
fof(f1909,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ4_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ24_spl
| is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X0))) ),
inference(resolution,[status(thm)],[f1839,f947]) ).
fof(f1924,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ4_spl
| ~ is_a_theorem(implies(X1,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f1909,f1815]) ).
fof(f3067,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ4_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f1924,f1622]) ).
fof(f3171,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ4_spl
| is_a_theorem(implies(X0,implies(implies(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f3067,f1924]) ).
fof(f3176,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ4_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7,f3171]) ).
fof(f3188,plain,
( ~ sQ8_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ13_spl
| ~ sQ24_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f3176]) ).
fof(f3189,plain,
$false,
inference(sat_refutation,[status(thm)],[f36,f60,f67,f94,f102,f112,f185,f230,f241,f275,f347,f3188]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL095-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 00:04:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 11.91/1.95 % Refutation found
% 11.91/1.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.91/1.95 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.91/1.99 % Elapsed time: 1.614793 seconds
% 11.91/1.99 % CPU time: 12.527028 seconds
% 11.91/1.99 % Total memory used: 204.577 MB
% 11.91/1.99 % Net memory used: 185.303 MB
%------------------------------------------------------------------------------