%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL093-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 182.01s 23.65s
% Output : CNFRefutation 175.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 14
% Syntax : Number of formulae : 99 ( 9 unt; 11 def)
% Number of atoms : 345 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 481 ( 235 ~; 235 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 13 ( 12 usr; 12 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 299 ( 299 !; 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(implies(a,b),implies(implies(b,c),implies(a,c)))),
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(implies(a,b),implies(implies(b,c),implies(a,c)))),
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(f16,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] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
inference(resolution,[status(thm)],[f12,f6]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f17,f5]) ).
fof(f25,definition,
! [X0] :
( sQ0_spl
<=> ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f26,plain,
! [X0] :
( ~ sQ0_spl
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f25]) ).
fof(f28,definition,
! [X1,X2,X3,X4] :
( sQ1_spl
<=> is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))) ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f24,f25,f28]) ).
fof(f32,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6,f26]) ).
fof(f34,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f32]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(X4)
| ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f9,f5]) ).
fof(f47,definition,
! [X0,X1,X2,X3] :
( sQ2_spl
<=> ( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f46,f47,f25]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( is_a_theorem(implies(X7,implies(implies(X1,X3),implies(X5,implies(X0,X3)))))
| ~ is_a_theorem(X6)
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X4),implies(implies(X1,X3),implies(X5,implies(X0,X3)))))) ),
inference(resolution,[status(thm)],[f16,f5]) ).
fof(f116,definition,
! [X0,X1,X2,X3,X4,X5,X7] :
( sQ9_spl
<=> ( is_a_theorem(implies(X7,implies(implies(X1,X3),implies(X5,implies(X0,X3)))))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X4),implies(implies(X1,X3),implies(X5,implies(X0,X3)))))) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ9_spl
| is_a_theorem(implies(X6,implies(implies(X1,X3),implies(X5,implies(X0,X3)))))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X4),implies(implies(X1,X3),implies(X5,implies(X0,X3)))))) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( sQ0_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f115,f116,f25]) ).
fof(f283,definition,
! [X3,X4] :
( sQ26_spl
<=> ~ is_a_theorem(implies(X3,X4)) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f284,plain,
! [X0,X1] :
( ~ sQ26_spl
| ~ is_a_theorem(implies(X0,X1)) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f380,plain,
( ~ sQ26_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6,f284]) ).
fof(f388,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f380]) ).
fof(f397,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f403,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f29,f8]) ).
fof(f422,plain,
! [X0,X1,X2,X3,X4,X5] :
( is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3))))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f397,f5]) ).
fof(f603,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))) ),
inference(resolution,[status(thm)],[f422,f403]) ).
fof(f922,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f603,f5]) ).
fof(f938,definition,
! [X1,X2,X3,X4] :
( sQ46_spl
<=> is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f939,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,plain,
( ~ sQ1_spl
| sQ46_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f922,f25,f938,f28]) ).
fof(f960,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| is_a_theorem(implies(X1,implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f939,f5]) ).
fof(f1481,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ9_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(X2,X2))))) ),
inference(resolution,[status(thm)],[f117,f939]) ).
fof(f1536,plain,
! [X0,X1,X2,X3] :
( ~ sQ46_spl
| ~ sQ9_spl
| is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1481,f5]) ).
fof(f1555,definition,
! [X1,X2,X3] :
( sQ64_spl
<=> is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2)))) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,X1)))) ),
inference(component_clause,[status(thm)],[f1555]) ).
fof(f1558,plain,
( ~ sQ46_spl
| ~ sQ9_spl
| sQ64_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1536,f25,f1555,f116,f938]) ).
fof(f1572,plain,
! [X0,X1,X2,X3] :
( ~ sQ64_spl
| is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(X3,X1)))) ),
inference(resolution,[status(thm)],[f1556,f8]) ).
fof(f1702,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ sQ64_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f1572,f117]) ).
fof(f1717,plain,
! [X0,X1,X2,X3] :
( ~ sQ64_spl
| is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f1572,f5]) ).
fof(f1918,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ sQ64_spl
| is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1702,f5]) ).
fof(f1937,definition,
! [X1,X2,X3] :
( sQ71_spl
<=> is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X1,X2)))) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1938,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))) ),
inference(component_clause,[status(thm)],[f1937]) ).
fof(f1940,plain,
( ~ sQ9_spl
| ~ sQ64_spl
| sQ71_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1918,f25,f1937,f1555,f116]) ).
fof(f1954,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(X3,X0)))) ),
inference(resolution,[status(thm)],[f1938,f8]) ).
fof(f2015,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| ~ sQ64_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))) ),
inference(resolution,[status(thm)],[f1717,f1938]) ).
fof(f2118,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| ~ sQ64_spl
| is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2015,f5]) ).
fof(f2136,definition,
! [X1,X2,X3] :
( sQ74_spl
<=> is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f2137,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))) ),
inference(component_clause,[status(thm)],[f2136]) ).
fof(f2139,plain,
( ~ sQ71_spl
| ~ sQ64_spl
| sQ74_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2118,f25,f2136,f1555,f1937]) ).
fof(f2169,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2137,f5]) ).
fof(f2180,definition,
! [X1,X2] :
( sQ75_spl
<=> is_a_theorem(implies(X1,implies(X2,X2))) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f2181,plain,
! [X0,X1] :
( ~ sQ75_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(component_clause,[status(thm)],[f2180]) ).
fof(f2183,plain,
( ~ sQ74_spl
| sQ75_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2169,f25,f2180,f2136]) ).
fof(f2232,plain,
! [X0,X1] :
( ~ sQ75_spl
| is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f2181,f5]) ).
fof(f2242,definition,
! [X1] :
( sQ76_spl
<=> is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f2243,plain,
! [X0] :
( ~ sQ76_spl
| is_a_theorem(implies(X0,X0)) ),
inference(component_clause,[status(thm)],[f2242]) ).
fof(f2245,plain,
( ~ sQ75_spl
| sQ76_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2232,f25,f2242,f2180]) ).
fof(f2277,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))) ),
inference(resolution,[status(thm)],[f2243,f960]) ).
fof(f2278,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X0))) ),
inference(resolution,[status(thm)],[f2243,f48]) ).
fof(f2355,plain,
! [X0,X1,X2,X3] :
( ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ76_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f2277,f117]) ).
fof(f6310,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f2355,f2278]) ).
fof(f6670,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(resolution,[status(thm)],[f6310,f2278]) ).
fof(f6671,plain,
! [X0,X1,X2,X3] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,implies(implies(X0,X2),X2)))) ),
inference(resolution,[status(thm)],[f6310,f8]) ).
fof(f6682,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f6310,f5]) ).
fof(f6750,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[f6670,f5]) ).
fof(f6768,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))) ),
inference(resolution,[status(thm)],[f6750,f1954]) ).
fof(f6926,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(implies(implies(X0,X1),X0),X0)) ),
inference(resolution,[status(thm)],[f6768,f6750]) ).
fof(f6990,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f6926,f5]) ).
fof(f16302,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(X0,implies(implies(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f6671,f6990]) ).
fof(f16410,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(implies(X0,X1),implies(X0,implies(implies(X1,X2),X2)))) ),
inference(resolution,[status(thm)],[f16302,f6682]) ).
fof(f16417,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f16302,f5]) ).
fof(f16511,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(implies(implies(X0,implies(implies(X0,X1),X1)),X2),X2)) ),
inference(resolution,[status(thm)],[f16417,f16302]) ).
fof(f17660,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f16410,f5]) ).
fof(f18244,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(implies(X0,X1),X1)),X2)) ),
inference(resolution,[status(thm)],[f16511,f5]) ).
fof(f19593,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f17660,f5]) ).
fof(f20263,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(X0,implies(implies(implies(implies(X0,X1),X1),X2),X2))) ),
inference(resolution,[status(thm)],[f18244,f16410]) ).
fof(f22365,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f19593,f16302]) ).
fof(f23431,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f22365,f5]) ).
fof(f23733,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(implies(X1,implies(X0,X2)),implies(X1,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f23431,f6310]) ).
fof(f24629,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f23733,f5]) ).
fof(f26331,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2)) ),
inference(resolution,[status(thm)],[f24629,f20263]) ).
fof(f28848,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(X0,implies(implies(X1,implies(X0,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f26331,f6310]) ).
fof(f30833,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f28848,f24629]) ).
fof(f32050,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(resolution,[status(thm)],[f30833,f6310]) ).
fof(f33544,plain,
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7,f32050]) ).
fof(f33665,plain,
( ~ sQ2_spl
| ~ sQ76_spl
| ~ sQ9_spl
| ~ sQ46_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f33544]) ).
fof(f33666,plain,
$false,
inference(sat_refutation,[status(thm)],[f31,f34,f50,f119,f388,f941,f1558,f1940,f2139,f2183,f2245,f33665]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL093-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % Computer : n010.cluster.edu
% 0.17/0.47 % Model : x86_64 x86_64
% 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.47 % Memory : 8046.5625MB
% 0.17/0.47 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.47 % WCLimit : 300
% 0.17/0.47 % DateTime : Mon Sep 21 00:04:25 UTC 2026
% 0.17/0.48 % CPUTime :
% 0.17/0.51 % Drodi V4.1.1
% 182.01/23.65 % Refutation found
% 182.01/23.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 182.01/23.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.69/23.78 % Elapsed time: 23.256224 seconds
% 10.69/23.78 % CPU time: 183.306989 seconds
% 10.69/23.78 % Total memory used: 562.440 MB
% 10.69/23.78 % Net memory used: 487.179 MB
%------------------------------------------------------------------------------