%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRA014+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:30:41 PM UTC 2026
% Result : Theorem 0.09s 0.45s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 39
% Syntax : Number of formulae : 258 ( 20 unt; 33 def)
% Number of atoms : 786 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 1083 ( 555 ~; 482 |; 9 &)
% ( 33 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 38 ( 37 usr; 35 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( ( red(A,C)
& red(B,C)
& red(A,B) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( ( green(A,C)
& green(B,C)
& green(A,B) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( less_than(n5,n6)
& less_than(n4,n5)
& less_than(n3,n4)
& less_than(n2,n3)
& less_than(n1,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] :
( ( less_than(B,C)
& less_than(A,B) )
=> less_than(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B] :
( less_than(A,B)
=> ( green(A,B)
| red(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ goal,
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
! [A,B,C] :
( goal
| ~ red(A,C)
| ~ red(B,C)
| ~ red(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
( goal
| ! [A,C] :
( ~ red(A,C)
| ! [B] :
( ~ red(B,C)
| ~ red(A,B) ) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( goal
| ~ red(X0,X2)
| ~ red(X1,X2)
| ~ red(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [A,B,C] :
( goal
| ~ green(A,C)
| ~ green(B,C)
| ~ green(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
( goal
| ! [A,C] :
( ~ green(A,C)
| ! [B] :
( ~ green(B,C)
| ~ green(A,B) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( goal
| ~ green(X0,X2)
| ~ green(X1,X2)
| ~ green(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
less_than(n1,n2),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
less_than(n2,n3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
less_than(n3,n4),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f17,plain,
less_than(n4,n5),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
less_than(n5,n6),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [A,B,C] :
( less_than(A,C)
| ~ less_than(B,C)
| ~ less_than(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f20,plain,
! [A,C] :
( less_than(A,C)
| ! [B] :
( ~ less_than(B,C)
| ~ less_than(A,B) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [A,B] :
( green(A,B)
| red(A,B)
| ~ less_than(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f23,plain,
! [X0,X1] :
( green(X0,X1)
| red(X0,X1)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
~ goal,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f25,definition,
! [X0,X1,X2] :
( sQ0_spl
<=> ( ~ red(X0,X2)
| ~ red(X1,X2)
| ~ red(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ red(X0,X2)
| ~ red(X1,X2)
| ~ red(X0,X1) ),
inference(component_clause,[status(thm)],[f25]) ).
fof(f28,definition,
( sQ1_spl
<=> goal ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f29,plain,
( ~ sQ1_spl
| goal ),
inference(component_clause,[status(thm)],[f28]) ).
fof(f31,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f25,f28]) ).
fof(f32,definition,
! [X0,X1,X2] :
( sQ2_spl
<=> ( ~ green(X0,X2)
| ~ green(X1,X2)
| ~ green(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ green(X0,X2)
| ~ green(X1,X2)
| ~ green(X0,X1) ),
inference(component_clause,[status(thm)],[f32]) ).
fof(f35,plain,
( sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f13,f32,f28]) ).
fof(f36,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f29,f24]) ).
fof(f37,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f36]) ).
fof(f38,plain,
! [X0] :
( less_than(X0,n6)
| ~ less_than(X0,n5) ),
inference(resolution,[status(thm)],[f21,f18]) ).
fof(f39,plain,
! [X0] :
( less_than(X0,n5)
| ~ less_than(X0,n4) ),
inference(resolution,[status(thm)],[f21,f17]) ).
fof(f40,plain,
! [X0] :
( less_than(X0,n4)
| ~ less_than(X0,n3) ),
inference(resolution,[status(thm)],[f21,f16]) ).
fof(f41,plain,
! [X0] :
( less_than(X0,n3)
| ~ less_than(X0,n2) ),
inference(resolution,[status(thm)],[f21,f15]) ).
fof(f43,plain,
less_than(n4,n6),
inference(resolution,[status(thm)],[f38,f17]) ).
fof(f45,plain,
less_than(n3,n5),
inference(resolution,[status(thm)],[f39,f16]) ).
fof(f46,plain,
less_than(n3,n6),
inference(resolution,[status(thm)],[f45,f38]) ).
fof(f49,plain,
less_than(n2,n4),
inference(resolution,[status(thm)],[f40,f15]) ).
fof(f50,plain,
less_than(n2,n5),
inference(resolution,[status(thm)],[f49,f39]) ).
fof(f52,plain,
less_than(n2,n6),
inference(resolution,[status(thm)],[f50,f38]) ).
fof(f55,plain,
( green(n5,n6)
| red(n5,n6) ),
inference(resolution,[status(thm)],[f23,f18]) ).
fof(f56,plain,
( green(n4,n6)
| red(n4,n6) ),
inference(resolution,[status(thm)],[f23,f43]) ).
fof(f57,plain,
( green(n4,n5)
| red(n4,n5) ),
inference(resolution,[status(thm)],[f23,f17]) ).
fof(f58,plain,
( green(n3,n6)
| red(n3,n6) ),
inference(resolution,[status(thm)],[f23,f46]) ).
fof(f59,plain,
( green(n3,n5)
| red(n3,n5) ),
inference(resolution,[status(thm)],[f23,f45]) ).
fof(f60,plain,
( green(n3,n4)
| red(n3,n4) ),
inference(resolution,[status(thm)],[f23,f16]) ).
fof(f61,plain,
( green(n2,n6)
| red(n2,n6) ),
inference(resolution,[status(thm)],[f23,f52]) ).
fof(f62,plain,
( green(n2,n5)
| red(n2,n5) ),
inference(resolution,[status(thm)],[f23,f50]) ).
fof(f63,plain,
( green(n2,n4)
| red(n2,n4) ),
inference(resolution,[status(thm)],[f23,f49]) ).
fof(f64,plain,
( green(n2,n3)
| red(n2,n3) ),
inference(resolution,[status(thm)],[f23,f15]) ).
fof(f65,plain,
( green(n1,n2)
| red(n1,n2) ),
inference(resolution,[status(thm)],[f23,f14]) ).
fof(f66,definition,
( sQ3_spl
<=> red(n5,n6) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f67,plain,
( ~ sQ3_spl
| red(n5,n6) ),
inference(component_clause,[status(thm)],[f66]) ).
fof(f69,definition,
( sQ4_spl
<=> green(n5,n6) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( ~ sQ4_spl
| green(n5,n6) ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,plain,
( sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f55,f66,f69]) ).
fof(f73,definition,
( sQ5_spl
<=> red(n4,n6) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ5_spl
| red(n4,n6) ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,definition,
( sQ6_spl
<=> green(n4,n6) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f77,plain,
( ~ sQ6_spl
| green(n4,n6) ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f56,f73,f76]) ).
fof(f80,definition,
( sQ7_spl
<=> red(n4,n5) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( ~ sQ7_spl
| red(n4,n5) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,definition,
( sQ8_spl
<=> green(n4,n5) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ8_spl
| green(n4,n5) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f57,f80,f83]) ).
fof(f87,definition,
( sQ9_spl
<=> red(n3,n6) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( ~ sQ9_spl
| red(n3,n6) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,definition,
( sQ10_spl
<=> green(n3,n6) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( ~ sQ10_spl
| green(n3,n6) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f58,f87,f90]) ).
fof(f94,definition,
( sQ11_spl
<=> red(n3,n5) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ11_spl
| red(n3,n5) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,definition,
( sQ12_spl
<=> green(n3,n5) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ12_spl
| green(n3,n5) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f94,f97]) ).
fof(f101,definition,
( sQ13_spl
<=> red(n3,n4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ13_spl
| red(n3,n4) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,definition,
( sQ14_spl
<=> green(n3,n4) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( ~ sQ14_spl
| green(n3,n4) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f60,f101,f104]) ).
fof(f108,definition,
( sQ15_spl
<=> red(n2,n6) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ15_spl
| red(n2,n6) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ16_spl
<=> green(n2,n6) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ16_spl
| green(n2,n6) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,plain,
( sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f61,f108,f111]) ).
fof(f115,definition,
( sQ17_spl
<=> red(n2,n5) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ17_spl
| red(n2,n5) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ18_spl
<=> green(n2,n5) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ18_spl
| green(n2,n5) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f62,f115,f118]) ).
fof(f122,definition,
( sQ19_spl
<=> red(n2,n4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( ~ sQ19_spl
| red(n2,n4) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,definition,
( sQ20_spl
<=> green(n2,n4) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ20_spl
| green(n2,n4) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ20_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f63,f122,f125]) ).
fof(f129,definition,
( sQ21_spl
<=> red(n2,n3) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ21_spl
| red(n2,n3) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
( sQ22_spl
<=> green(n2,n3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ22_spl
| green(n2,n3) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f64,f129,f132]) ).
fof(f136,definition,
( sQ23_spl
<=> red(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ23_spl
| red(n1,n2) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ24_spl
<=> green(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ24_spl
| green(n1,n2) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f65,f136,f139]) ).
fof(f143,plain,
less_than(n1,n3),
inference(resolution,[status(thm)],[f41,f14]) ).
fof(f151,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ21_spl
| ~ red(X0,n3)
| ~ red(X0,n2) ),
inference(resolution,[status(thm)],[f130,f26]) ).
fof(f157,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ17_spl
| ~ red(X0,n5)
| ~ red(n2,X0) ),
inference(resolution,[status(thm)],[f116,f26]) ).
fof(f159,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ17_spl
| ~ red(X0,n5)
| ~ red(X0,n2) ),
inference(resolution,[status(thm)],[f116,f26]) ).
fof(f161,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ15_spl
| ~ red(X0,n6)
| ~ red(n2,X0) ),
inference(resolution,[status(thm)],[f109,f26]) ).
fof(f167,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ13_spl
| ~ red(X0,n4)
| ~ red(X0,n3) ),
inference(resolution,[status(thm)],[f102,f26]) ).
fof(f173,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ9_spl
| ~ red(X0,n6)
| ~ red(n3,X0) ),
inference(resolution,[status(thm)],[f88,f26]) ).
fof(f179,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ7_spl
| ~ red(X0,n5)
| ~ red(X0,n4) ),
inference(resolution,[status(thm)],[f81,f26]) ).
fof(f183,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ5_spl
| ~ red(X0,n6)
| ~ red(X0,n4) ),
inference(resolution,[status(thm)],[f74,f26]) ).
fof(f187,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ3_spl
| ~ red(X0,n6)
| ~ red(X0,n5) ),
inference(resolution,[status(thm)],[f67,f26]) ).
fof(f188,plain,
less_than(n1,n4),
inference(resolution,[status(thm)],[f143,f40]) ).
fof(f189,plain,
( green(n1,n3)
| red(n1,n3) ),
inference(resolution,[status(thm)],[f143,f23]) ).
fof(f191,definition,
( sQ25_spl
<=> red(n1,n3) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ25_spl
| red(n1,n3) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ26_spl
<=> green(n1,n3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ26_spl
| green(n1,n3) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f189,f191,f194]) ).
fof(f207,plain,
less_than(n1,n5),
inference(resolution,[status(thm)],[f188,f39]) ).
fof(f208,plain,
( green(n1,n4)
| red(n1,n4) ),
inference(resolution,[status(thm)],[f188,f23]) ).
fof(f210,definition,
( sQ27_spl
<=> red(n1,n4) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ27_spl
| red(n1,n4) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ28_spl
<=> green(n1,n4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ28_spl
| green(n1,n4) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f208,f210,f213]) ).
fof(f218,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ25_spl
| ~ red(n1,n2) ),
inference(resolution,[status(thm)],[f192,f151]) ).
fof(f223,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ25_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f218,f137]) ).
fof(f224,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ25_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f223]) ).
fof(f225,plain,
less_than(n1,n6),
inference(resolution,[status(thm)],[f207,f38]) ).
fof(f226,plain,
( green(n1,n5)
| red(n1,n5) ),
inference(resolution,[status(thm)],[f207,f23]) ).
fof(f228,definition,
( sQ29_spl
<=> red(n1,n5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ29_spl
| red(n1,n5) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ30_spl
<=> green(n1,n5) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ30_spl
| green(n1,n5) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( sQ30_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f226,f228,f231]) ).
fof(f236,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ27_spl
| ~ red(X0,n4)
| ~ red(n1,X0) ),
inference(resolution,[status(thm)],[f211,f26]) ).
fof(f240,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ26_spl
| ~ green(X0,n3)
| ~ green(n1,X0) ),
inference(resolution,[status(thm)],[f195,f33]) ).
fof(f252,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ28_spl
| ~ green(X0,n4)
| ~ green(n1,X0) ),
inference(resolution,[status(thm)],[f214,f33]) ).
fof(f264,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ16_spl
| ~ green(X0,n6)
| ~ green(n2,X0) ),
inference(resolution,[status(thm)],[f112,f33]) ).
fof(f266,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ16_spl
| ~ green(X0,n6)
| ~ green(X0,n2) ),
inference(resolution,[status(thm)],[f112,f33]) ).
fof(f270,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ14_spl
| ~ green(X0,n4)
| ~ green(X0,n3) ),
inference(resolution,[status(thm)],[f105,f33]) ).
fof(f274,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ12_spl
| ~ green(X0,n5)
| ~ green(X0,n3) ),
inference(resolution,[status(thm)],[f98,f33]) ).
fof(f276,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ10_spl
| ~ green(X0,n6)
| ~ green(n3,X0) ),
inference(resolution,[status(thm)],[f91,f33]) ).
fof(f278,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ10_spl
| ~ green(X0,n6)
| ~ green(X0,n3) ),
inference(resolution,[status(thm)],[f91,f33]) ).
fof(f282,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ8_spl
| ~ green(X0,n5)
| ~ green(X0,n4) ),
inference(resolution,[status(thm)],[f84,f33]) ).
fof(f286,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| ~ green(X0,n6)
| ~ green(X0,n5) ),
inference(resolution,[status(thm)],[f70,f33]) ).
fof(f287,plain,
( ~ sQ27_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n1,n3) ),
inference(resolution,[status(thm)],[f167,f211]) ).
fof(f289,plain,
( ~ sQ19_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n2,n3) ),
inference(resolution,[status(thm)],[f167,f123]) ).
fof(f290,plain,
( ~ sQ19_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f130]) ).
fof(f291,plain,
( ~ sQ19_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f290]) ).
fof(f296,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| ~ sQ17_spl
| ~ red(n3,n5) ),
inference(resolution,[status(thm)],[f157,f130]) ).
fof(f297,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| ~ sQ17_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f296,f95]) ).
fof(f298,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| ~ sQ17_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| ~ sQ15_spl
| ~ red(n3,n6) ),
inference(resolution,[status(thm)],[f161,f130]) ).
fof(f301,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f300,f88]) ).
fof(f302,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f301]) ).
fof(f305,plain,
( green(n1,n6)
| red(n1,n6) ),
inference(resolution,[status(thm)],[f225,f23]) ).
fof(f307,definition,
( sQ31_spl
<=> red(n1,n6) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ31_spl
| red(n1,n6) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ32_spl
<=> green(n1,n6) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ32_spl
| green(n1,n6) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( sQ32_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f305,f307,f310]) ).
fof(f314,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ29_spl
| ~ red(n1,n4) ),
inference(resolution,[status(thm)],[f229,f179]) ).
fof(f316,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ29_spl
| ~ red(X0,n5)
| ~ red(n1,X0) ),
inference(resolution,[status(thm)],[f229,f26]) ).
fof(f319,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ29_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f211]) ).
fof(f320,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ29_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f319]) ).
fof(f338,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ31_spl
| ~ red(X0,n6)
| ~ red(n1,X0) ),
inference(resolution,[status(thm)],[f308,f26]) ).
fof(f342,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ30_spl
| ~ green(X0,n5)
| ~ green(n1,X0) ),
inference(resolution,[status(thm)],[f232,f33]) ).
fof(f365,plain,
( ~ sQ31_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ red(n1,n5) ),
inference(resolution,[status(thm)],[f187,f308]) ).
fof(f367,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ red(n4,n5) ),
inference(resolution,[status(thm)],[f187,f74]) ).
fof(f368,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f367,f81]) ).
fof(f369,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f368]) ).
fof(f376,plain,
( ~ sQ24_spl
| ~ sQ2_spl
| ~ sQ26_spl
| ~ green(n2,n3) ),
inference(resolution,[status(thm)],[f240,f140]) ).
fof(f385,plain,
( ~ sQ20_spl
| ~ sQ2_spl
| ~ sQ14_spl
| ~ green(n2,n3) ),
inference(resolution,[status(thm)],[f270,f126]) ).
fof(f386,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ14_spl
| ~ green(n1,n3) ),
inference(resolution,[status(thm)],[f270,f214]) ).
fof(f387,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ14_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f195]) ).
fof(f388,plain,
( ~ sQ28_spl
| ~ sQ2_spl
| ~ sQ14_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f387]) ).
fof(f392,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ6_spl
| ~ green(X0,n6)
| ~ green(X0,n4) ),
inference(resolution,[status(thm)],[f77,f33]) ).
fof(f411,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| ~ sQ0_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f192,f287]) ).
fof(f412,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| ~ sQ0_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( ~ sQ20_spl
| ~ sQ2_spl
| ~ sQ14_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f133]) ).
fof(f414,plain,
( ~ sQ20_spl
| ~ sQ2_spl
| ~ sQ14_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f413]) ).
fof(f420,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ green(n4,n5) ),
inference(resolution,[status(thm)],[f286,f77]) ).
fof(f423,plain,
( ~ sQ16_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ green(n2,n5) ),
inference(resolution,[status(thm)],[f286,f112]) ).
fof(f424,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f420,f84]) ).
fof(f425,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f424]) ).
fof(f428,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ green(n3,n4) ),
inference(resolution,[status(thm)],[f282,f98]) ).
fof(f429,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ green(n2,n4) ),
inference(resolution,[status(thm)],[f282,f119]) ).
fof(f430,plain,
( ~ sQ30_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ green(n1,n4) ),
inference(resolution,[status(thm)],[f282,f232]) ).
fof(f431,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f105]) ).
fof(f432,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( ~ sQ24_spl
| ~ sQ2_spl
| ~ sQ26_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f376,f133]) ).
fof(f434,plain,
( ~ sQ24_spl
| ~ sQ2_spl
| ~ sQ26_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f433]) ).
fof(f455,plain,
( ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ2_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f126,f429]) ).
fof(f456,plain,
( ~ sQ20_spl
| ~ sQ18_spl
| ~ sQ2_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f455]) ).
fof(f470,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ green(n5,n6) ),
inference(resolution,[status(thm)],[f276,f98]) ).
fof(f478,plain,
( ~ sQ23_spl
| ~ sQ0_spl
| ~ sQ31_spl
| ~ red(n2,n6) ),
inference(resolution,[status(thm)],[f338,f137]) ).
fof(f479,plain,
( ~ sQ27_spl
| ~ sQ0_spl
| ~ sQ31_spl
| ~ red(n4,n6) ),
inference(resolution,[status(thm)],[f338,f211]) ).
fof(f481,plain,
( ~ sQ27_spl
| ~ sQ0_spl
| ~ sQ31_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f74]) ).
fof(f482,plain,
( ~ sQ27_spl
| ~ sQ0_spl
| ~ sQ31_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f481]) ).
fof(f486,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ20_spl
| ~ green(n4,n6) ),
inference(resolution,[status(thm)],[f126,f264]) ).
fof(f496,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ32_spl
| ~ green(n1,n2) ),
inference(resolution,[status(thm)],[f311,f266]) ).
fof(f497,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ32_spl
| ~ green(n1,n3) ),
inference(resolution,[status(thm)],[f311,f278]) ).
fof(f502,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ32_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f497,f194,f310,f90,f32]) ).
fof(f503,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| ~ sQ2_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f214,f430]) ).
fof(f504,plain,
( ~ sQ28_spl
| ~ sQ30_spl
| ~ sQ2_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f503]) ).
fof(f509,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ22_spl
| ~ green(n3,n6) ),
inference(resolution,[status(thm)],[f133,f264]) ).
fof(f522,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ7_spl
| ~ red(X0,n5)
| ~ red(X0,n4) ),
inference(resolution,[status(thm)],[f81,f26]) ).
fof(f532,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ red(n3,n5) ),
inference(resolution,[status(thm)],[f88,f187]) ).
fof(f537,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ9_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f532,f94,f87,f66,f25]) ).
fof(f567,plain,
( ~ sQ29_spl
| ~ sQ0_spl
| ~ sQ17_spl
| ~ red(n1,n2) ),
inference(resolution,[status(thm)],[f159,f229]) ).
fof(f568,plain,
( ~ sQ29_spl
| ~ sQ0_spl
| ~ sQ17_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f567,f136,f115,f25,f228]) ).
fof(f595,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ red(n3,n4) ),
inference(resolution,[status(thm)],[f179,f95]) ).
fof(f597,plain,
( ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f595,f101,f80,f25,f94]) ).
fof(f598,plain,
( ~ sQ31_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f229]) ).
fof(f599,plain,
( ~ sQ31_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f598]) ).
fof(f602,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| ~ sQ31_spl
| ~ red(n3,n6) ),
inference(resolution,[status(thm)],[f338,f192]) ).
fof(f603,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| ~ sQ31_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f602,f87,f307,f25,f191]) ).
fof(f604,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f509]) ).
fof(f605,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f606,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f470,f69,f90,f32,f97]) ).
fof(f649,plain,
( ~ sQ24_spl
| ~ sQ2_spl
| ~ sQ28_spl
| ~ green(n2,n4) ),
inference(resolution,[status(thm)],[f252,f140]) ).
fof(f651,plain,
( ~ sQ24_spl
| ~ sQ2_spl
| ~ sQ28_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f649,f125,f213,f32,f139]) ).
fof(f654,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| ~ sQ29_spl
| ~ red(n3,n5) ),
inference(resolution,[status(thm)],[f316,f192]) ).
fof(f655,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| ~ sQ29_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f654,f94,f228,f25,f191]) ).
fof(f673,plain,
( ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ red(n2,n4) ),
inference(resolution,[status(thm)],[f183,f109]) ).
fof(f676,plain,
( ~ sQ15_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f673,f122,f73,f25,f108]) ).
fof(f677,plain,
( ~ sQ23_spl
| ~ sQ0_spl
| ~ sQ31_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f109]) ).
fof(f678,plain,
( ~ sQ23_spl
| ~ sQ0_spl
| ~ sQ31_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f677]) ).
fof(f679,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ20_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f486,f76,f125,f111,f32]) ).
fof(f720,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ17_spl
| ~ red(n2,n4) ),
inference(resolution,[status(thm)],[f116,f522]) ).
fof(f725,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ17_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f720,f122,f115,f80,f25]) ).
fof(f750,plain,
( ~ sQ26_spl
| ~ sQ2_spl
| ~ sQ30_spl
| ~ green(n3,n5) ),
inference(resolution,[status(thm)],[f342,f195]) ).
fof(f752,plain,
( ~ sQ26_spl
| ~ sQ2_spl
| ~ sQ30_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f750,f97,f231,f32,f194]) ).
fof(f783,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ15_spl
| ~ red(n2,n5) ),
inference(resolution,[status(thm)],[f109,f187]) ).
fof(f789,plain,
( ~ sQ2_spl
| ~ sQ30_spl
| ~ sQ24_spl
| ~ green(n2,n5) ),
inference(resolution,[status(thm)],[f140,f342]) ).
fof(f794,plain,
( ~ sQ2_spl
| ~ sQ30_spl
| ~ sQ24_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f789,f118,f139,f231,f32]) ).
fof(f795,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ15_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f783,f115,f108,f66,f25]) ).
fof(f796,plain,
( ~ sQ16_spl
| ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f423,f118,f69,f32,f111]) ).
fof(f837,plain,
( ~ sQ23_spl
| ~ sQ0_spl
| ~ sQ27_spl
| ~ red(n2,n4) ),
inference(resolution,[status(thm)],[f236,f137]) ).
fof(f840,plain,
( ~ sQ23_spl
| ~ sQ0_spl
| ~ sQ27_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f837,f122,f210,f25,f136]) ).
fof(f890,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ32_spl
| ~ green(n1,n4) ),
inference(resolution,[status(thm)],[f311,f392]) ).
fof(f895,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ32_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f890,f213,f310,f76,f32]) ).
fof(f896,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ32_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f496,f139,f310,f111,f32]) ).
fof(f938,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| ~ sQ12_spl
| ~ green(n2,n3) ),
inference(resolution,[status(thm)],[f274,f119]) ).
fof(f939,plain,
( ~ sQ18_spl
| ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f938,f132,f97,f32,f118]) ).
fof(f969,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ9_spl
| ~ red(n4,n6) ),
inference(resolution,[status(thm)],[f173,f102]) ).
fof(f971,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f969,f73,f87,f25,f101]) ).
fof(f972,plain,
$false,
inference(sat_refutation,[status(thm)],[f31,f35,f37,f72,f79,f86,f93,f100,f107,f114,f121,f128,f135,f142,f197,f216,f224,f234,f291,f298,f302,f313,f320,f369,f388,f412,f414,f425,f432,f434,f456,f482,f502,f504,f537,f568,f597,f599,f603,f605,f606,f651,f655,f676,f678,f679,f725,f752,f794,f795,f796,f840,f895,f896,f939,f971]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA014+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 18:21:41 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.45 % Refutation found
% 0.09/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.47 % Elapsed time: 0.093993 seconds
% 0.09/0.47 % CPU time: 0.600217 seconds
% 0.09/0.47 % Total memory used: 23.198 MB
% 0.09/0.47 % Net memory used: 22.274 MB
%------------------------------------------------------------------------------