%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL650+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 01:08:20 PM UTC 2026
% Result : Theorem 0.24s 0.70s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 41 ( 6 unt; 4 def)
% Number of atoms : 303 ( 0 equ)
% Maximal formula atoms : 43 ( 7 avg)
% Number of connectives : 485 ( 223 ~; 192 |; 66 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 123 ( 109 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( p1(X)
& p2(X)
& p3(X)
& p4(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ~ ! [X] :
( ~ ( ( p1(X)
& p2(X) )
| ( ~ p2(X)
& ~ p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ( p2(X)
& p3(X) )
| ( ~ p3(X)
& ~ p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p3(X)
& p1(X) )
| ( ~ p1(X)
& ~ p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ~ p2(X)
& ~ p4(X)
& ~ p6(X)
& ~ p8(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( p1(X)
& p2(X)
& p3(X)
& p4(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( ~ ( ~ ! [Y] :
( ~ ~ ! [X] :
( ~ ( ( p1(X)
& p2(X) )
| ( ~ p2(X)
& ~ p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( ! [X] :
( ~ ( ( p2(X)
& p3(X) )
| ( ~ p3(X)
& ~ p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
| ! [X] :
( p4(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( ! [Y] :
( ! [X] :
( ~ ( ( p3(X)
& p1(X) )
| ( ~ p1(X)
& ~ p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( ! [Y] :
( ! [X] :
( ( ~ p2(X)
& ~ p4(X)
& ~ p6(X)
& ~ p8(X) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
( ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ( ~ p1(X)
| ~ p2(X)
| ~ p3(X)
| ~ p4(X) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ( ! [X] :
( ( ! [Y] :
( ! [X] :
( ( ( ~ p1(X)
| ~ p2(X) )
& ( p2(X)
| p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ! [Y] :
( ! [X] :
( ( ( ~ p2(X)
| ~ p3(X) )
& ( p3(X)
| p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
& ? [X] :
( ~ p4(X)
& r1(Y,X) )
& ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p3(X)
| ~ p1(X) )
& ( p1(X)
| p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(X,Y) )
& ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ? [Y] :
( ? [X] :
( ( p2(X)
| p4(X)
| p6(X)
| p8(X) )
& r1(Y,X) )
& r1(X,Y) )
& r1(Y,X) )
& r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( ~ p1(sK11_skl)
| ~ p2(sK11_skl)
| ~ p3(sK11_skl)
| ~ p4(sK11_skl) )
& r1(sK10_skl,sK11_skl)
& r1(sK9_skl,sK10_skl)
& r1(sK8_skl,sK9_skl)
& r1(sK0_skl,sK8_skl)
& ! [Y] :
( ( ! [X] :
( ( ! [Y] :
( ! [X] :
( ( ( ~ p1(X)
| ~ p2(X) )
& ( p2(X)
| p1(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
& ~ p3(sK7_skl(X,Y))
& r1(X,sK7_skl(X,Y))
& ! [Y] :
( ! [X] :
( ( ( ~ p2(X)
| ~ p3(X) )
& ( p3(X)
| p2(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) ) )
| ~ r1(Y,X) )
& ~ p4(sK6_skl(Y))
& r1(Y,sK6_skl(Y))
& ! [X] :
( ! [Y] :
( ! [X] :
( ( ( ~ p3(X)
| ~ p1(X) )
& ( p1(X)
| p3(X) ) )
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ r1(Y,X) ) )
| ~ r1(sK0_skl,Y) )
& ~ p5(sK5_skl)
& r1(sK0_skl,sK5_skl)
& ( p2(sK4_skl)
| p4(sK4_skl)
| p6(sK4_skl)
| p8(sK4_skl) )
& r1(sK3_skl,sK4_skl)
& r1(sK2_skl,sK3_skl)
& r1(sK1_skl,sK2_skl)
& r1(sK0_skl,sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(X,sK2_skl),skolemize(Y,sK3_skl),skolemize(X,sK4_skl),skolemize(Y,sK5_skl),skolemize(X,sK6_skl(Y)),skolemize(Y,sK7_skl(X,Y)),skolemize(Y,sK8_skl),skolemize(X,sK9_skl),skolemize(Y,sK10_skl),skolemize(X,sK11_skl)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( p1(X3)
| p3(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3)
| ~ p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( p3(X3)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3)
| ~ p3(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( p2(X3)
| p1(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ~ p1(X3)
| ~ p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
r1(sK0_skl,sK8_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f23,plain,
r1(sK8_skl,sK9_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
r1(sK9_skl,sK10_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
r1(sK10_skl,sK11_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f43,definition,
( sQ5_spl
<=> p3(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f45,plain,
( sQ5_spl
| ~ p3(sK11_skl) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,definition,
( sQ6_spl
<=> p2(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( ~ sQ6_spl
| p2(sK11_skl) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,definition,
( sQ7_spl
<=> p1(sK11_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f50,plain,
( ~ sQ7_spl
| p1(sK11_skl) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f51,plain,
( sQ7_spl
| ~ p1(sK11_skl) ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f53,plain,
! [X0,X1,X2] :
( sQ5_spl
| p1(sK11_skl)
| ~ r1(X2,sK11_skl)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f45,f12]) ).
fof(f54,definition,
! [X0,X1,X2] :
( sQ8_spl
<=> ( ~ r1(X2,sK11_skl)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ r1(X2,sK11_skl)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,plain,
( sQ5_spl
| sQ7_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f54,f49,f43]) ).
fof(f79,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ r1(X1,sK10_skl)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f55,f25]) ).
fof(f80,plain,
! [X0] :
( ~ sQ8_spl
| ~ r1(X0,sK9_skl)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f79,f24]) ).
fof(f91,plain,
( ~ sQ8_spl
| ~ r1(sK0_skl,sK8_skl) ),
inference(resolution,[status(thm)],[f80,f23]) ).
fof(f92,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f22]) ).
fof(f93,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f92]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ p3(sK11_skl)
| ~ r1(X2,sK11_skl)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f50,f13]) ).
fof(f95,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f94,f54,f43,f49]) ).
fof(f96,plain,
! [X0,X1,X2] :
( sQ5_spl
| p2(sK11_skl)
| ~ r1(X2,sK11_skl)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f45,f16]) ).
fof(f98,plain,
( sQ5_spl
| sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f96,f54,f46,f43]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| ~ p1(sK11_skl)
| ~ r1(X2,sK11_skl)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f47,f21]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| ~ p3(sK11_skl)
| ~ r1(X2,sK11_skl)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f47,f17]) ).
fof(f102,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f100,f54,f49,f46]) ).
fof(f103,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f101,f54,f43,f46]) ).
fof(f104,plain,
! [X0,X1,X2] :
( sQ7_spl
| p2(sK11_skl)
| ~ r1(X2,sK11_skl)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f51,f20]) ).
fof(f105,plain,
( sQ7_spl
| sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f104,f54,f46,f49]) ).
fof(f106,plain,
$false,
inference(sat_refutation,[status(thm)],[f57,f93,f95,f98,f102,f103,f105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL650+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.68 % Computer : n010.cluster.edu
% 0.20/0.68 % Model : x86_64 x86_64
% 0.20/0.68 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.68 % Memory : 8046.5625MB
% 0.20/0.68 % OS : Linux 6.8.0-71-generic
% 0.20/0.68 % CPULimit : 300
% 0.20/0.68 % WCLimit : 300
% 0.20/0.68 % DateTime : Mon Sep 21 00:45:54 UTC 2026
% 0.20/0.69 % CPUTime :
% 0.20/0.70 % Drodi V4.1.1
% 0.24/0.70 % Refutation found
% 0.24/0.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.79 % Elapsed time: 0.089844 seconds
% 0.24/0.79 % CPU time: 0.071384 seconds
% 0.24/0.79 % Total memory used: 2.238 MB
% 0.24/0.79 % Net memory used: 2.198 MB
%------------------------------------------------------------------------------