%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL094-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 2.32s 1.10s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 101 ( 7 unt; 13 def)
% Number of atoms : 306 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 391 ( 186 ~; 192 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 15 ( 14 usr; 14 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 264 ( 264 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [P,Q,R,S,T] : is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox2/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(X4,implies(implies(X3,X0),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(X4,implies(implies(X3,X0),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,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f9,f5]) ).
fof(f12,definition,
! [X0] :
( sQ0_spl
<=> ~ is_a_theorem(X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f13,plain,
! [X0] :
( ~ sQ0_spl
| ~ is_a_theorem(X0) ),
inference(component_clause,[status(thm)],[f12]) ).
fof(f15,definition,
! [X1,X2,X3,X4,X5] :
( sQ1_spl
<=> is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))) ),
inference(component_clause,[status(thm)],[f15]) ).
fof(f18,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f11,f12,f15]) ).
fof(f19,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f6,f13]) ).
fof(f21,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f19]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| is_a_theorem(implies(X4,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(resolution,[status(thm)],[f16,f5]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f22,f16]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))) ),
inference(resolution,[status(thm)],[f22,f6]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f29,f5]) ).
fof(f35,definition,
! [X1,X2] :
( sQ2_spl
<=> is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X1,X2)))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f36,plain,
! [X0,X1] :
( ~ sQ2_spl
| is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))) ),
inference(component_clause,[status(thm)],[f35]) ).
fof(f38,plain,
( ~ sQ1_spl
| sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f34,f12,f35,f15]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f36,f8]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4)))) ),
inference(resolution,[status(thm)],[f30,f8]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f30,f5]) ).
fof(f50,definition,
! [X1,X2,X3] :
( sQ3_spl
<=> is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,X2)))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))) ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( ~ sQ1_spl
| sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f49,f12,f50,f15]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f51,f5]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f39,f5]) ).
fof(f78,definition,
! [X1,X2] :
( sQ5_spl
<=> is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X2,X1))) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f79,plain,
! [X0,X1] :
( ~ sQ5_spl
| is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( ~ sQ2_spl
| sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f76,f12,f78,f35]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ5_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))) ),
inference(resolution,[status(thm)],[f79,f22]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ5_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f82,f8]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ sQ5_spl
| is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f82,f5]) ).
fof(f92,definition,
! [X1,X2] :
( sQ6_spl
<=> is_a_theorem(implies(X1,implies(X2,X1))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f93,plain,
! [X0,X1] :
( ~ sQ6_spl
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f90,f12,f92,f78,f15]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( ~ sQ6_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))) ),
inference(resolution,[status(thm)],[f93,f8]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ6_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))) ),
inference(resolution,[status(thm)],[f93,f56]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ sQ5_spl
| is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f88,f5]) ).
fof(f144,definition,
! [X1,X2,X3] :
( sQ9_spl
<=> is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| sQ9_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f141,f12,f144,f78,f15]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f145,f5]) ).
fof(f176,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| ~ sQ9_spl
| is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))) ),
inference(resolution,[status(thm)],[f161,f93]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ6_spl
| ~ sQ9_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))) ),
inference(resolution,[status(thm)],[f176,f8]) ).
fof(f253,plain,
! [X0,X1,X2,X3] :
( ~ sQ6_spl
| is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f97,f5]) ).
fof(f258,definition,
! [X1,X2,X3] :
( sQ13_spl
<=> is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f259,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( ~ sQ6_spl
| sQ13_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f253,f12,f258,f92]) ).
fof(f271,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))) ),
inference(resolution,[status(thm)],[f259,f8]) ).
fof(f273,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f259,f5]) ).
fof(f282,plain,
! [X0,X1] :
( ~ sQ13_spl
| is_a_theorem(implies(X0,implies(X1,X1))) ),
inference(resolution,[status(thm)],[f273,f259]) ).
fof(f299,plain,
! [X0,X1] :
( ~ sQ13_spl
| is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f282,f5]) ).
fof(f303,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ13_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))) ),
inference(resolution,[status(thm)],[f282,f56]) ).
fof(f304,definition,
! [X1] :
( sQ14_spl
<=> is_a_theorem(implies(X1,X1)) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f305,plain,
! [X0] :
( ~ sQ14_spl
| is_a_theorem(implies(X0,X0)) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( ~ sQ13_spl
| sQ14_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f299,f12,f304,f258]) ).
fof(f327,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ sQ14_spl
| is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))) ),
inference(resolution,[status(thm)],[f305,f56]) ).
fof(f495,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f47,f5]) ).
fof(f500,definition,
! [X1,X2,X3,X4] :
( sQ21_spl
<=> is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X1,X4))) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f501,plain,
! [X0,X1,X2,X3] :
( ~ sQ21_spl
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X0,X3))) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( ~ sQ1_spl
| sQ21_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f495,f12,f500,f15]) ).
fof(f1113,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ6_spl
| ~ sQ9_spl
| is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f178,f5]) ).
fof(f1121,definition,
! [X1,X2,X3,X4] :
( sQ33_spl
<=> is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2))) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
! [X0,X1,X2,X3] :
( ~ sQ33_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1))) ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| sQ33_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1113,f12,f1121,f144,f92]) ).
fof(f1341,plain,
! [X0,X1,X2,X3] :
( ~ sQ21_spl
| is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[f501,f5]) ).
fof(f1496,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f271,f5]) ).
fof(f1504,definition,
! [X1,X2,X3] :
( sQ42_spl
<=> is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2)))) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1505,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))) ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1507,plain,
( ~ sQ13_spl
| sQ42_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1496,f12,f1504,f258]) ).
fof(f1534,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[f1505,f5]) ).
fof(f1552,plain,
! [X0,X1,X2,X3] :
( ~ sQ33_spl
| ~ sQ42_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X2),X2))) ),
inference(resolution,[status(thm)],[f1534,f1122]) ).
fof(f1553,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ13_spl
| ~ sQ42_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X2)),X3),X3))) ),
inference(resolution,[status(thm)],[f1534,f303]) ).
fof(f1554,plain,
! [X0,X1,X2,X3] :
( ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ42_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X1)),X3),X3))) ),
inference(resolution,[status(thm)],[f1534,f99]) ).
fof(f1557,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ42_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))) ),
inference(resolution,[status(thm)],[f1534,f327]) ).
fof(f1558,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| ~ sQ42_spl
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))) ),
inference(resolution,[status(thm)],[f1534,f259]) ).
fof(f1559,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f1534,f1505]) ).
fof(f1617,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ42_spl
| is_a_theorem(implies(implies(implies(X1,X1),X2),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f1557,f5]) ).
fof(f1625,definition,
! [X1,X2] :
( sQ43_spl
<=> is_a_theorem(implies(implies(implies(X1,X1),X2),X2)) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1626,plain,
! [X0,X1] :
( ~ sQ43_spl
| is_a_theorem(implies(implies(implies(X0,X0),X1),X1)) ),
inference(component_clause,[status(thm)],[f1625]) ).
fof(f1628,plain,
( ~ sQ3_spl
| ~ sQ14_spl
| ~ sQ42_spl
| sQ43_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1617,f12,f1625,f1504,f304,f50]) ).
fof(f1664,plain,
! [X0,X1] :
( ~ sQ43_spl
| is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(resolution,[status(thm)],[f1626,f5]) ).
fof(f1745,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| is_a_theorem(implies(implies(implies(X0,X1),X0),X0)) ),
inference(resolution,[status(thm)],[f1558,f1664]) ).
fof(f1843,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(resolution,[status(thm)],[f1745,f5]) ).
fof(f1948,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| ~ sQ33_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),X1)) ),
inference(resolution,[status(thm)],[f1552,f1843]) ).
fof(f1973,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| ~ sQ33_spl
| is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X1)) ),
inference(resolution,[status(thm)],[f1948,f5]) ).
fof(f2049,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| ~ sQ33_spl
| ~ sQ3_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),X2)) ),
inference(resolution,[status(thm)],[f1553,f1973]) ).
fof(f2117,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| ~ sQ33_spl
| ~ sQ3_spl
| is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)) ),
inference(resolution,[status(thm)],[f2049,f5]) ).
fof(f2291,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| ~ sQ33_spl
| ~ sQ3_spl
| ~ sQ6_spl
| is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)) ),
inference(resolution,[status(thm)],[f1554,f2117]) ).
fof(f2364,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| ~ sQ33_spl
| ~ sQ3_spl
| ~ sQ6_spl
| is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f2291,f5]) ).
fof(f2500,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| ~ sQ33_spl
| ~ sQ3_spl
| ~ sQ6_spl
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(resolution,[status(thm)],[f1559,f2364]) ).
fof(f5481,plain,
! [X0,X1] :
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| ~ sQ33_spl
| ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ21_spl
| is_a_theorem(implies(X0,implies(implies(X0,X1),X1))) ),
inference(resolution,[status(thm)],[f1341,f2500]) ).
fof(f5557,plain,
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| ~ sQ33_spl
| ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ21_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7,f5481]) ).
fof(f5592,plain,
( ~ sQ43_spl
| ~ sQ13_spl
| ~ sQ42_spl
| ~ sQ33_spl
| ~ sQ3_spl
| ~ sQ6_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f5557]) ).
fof(f5593,plain,
$false,
inference(sat_refutation,[status(thm)],[f18,f21,f38,f53,f81,f95,f147,f261,f307,f503,f1124,f1507,f1628,f5592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL094-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:10:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 2.32/1.10 % Refutation found
% 2.32/1.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.32/1.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.32/1.14 % Elapsed time: 0.771040 seconds
% 2.32/1.14 % CPU time: 5.742838 seconds
% 2.32/1.14 % Total memory used: 102.657 MB
% 2.32/1.14 % Net memory used: 96.364 MB
%------------------------------------------------------------------------------