%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRA013+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 12:31:02 PM UTC 2026
% Result : CounterSatisfiable 0.12s 0.41s
% Output : Saturation 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% 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(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,
! [A,B,C] :
( less_than(A,C)
| ~ less_than(B,C)
| ~ less_than(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [A,C] :
( less_than(A,C)
| ! [B] :
( ~ less_than(B,C)
| ~ less_than(A,B) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [A,B] :
( green(A,B)
| red(A,B)
| ~ less_than(A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f22,plain,
! [X0,X1] :
( green(X0,X1)
| red(X0,X1)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
~ goal,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f24,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(f25,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ red(X0,X2)
| ~ red(X1,X2)
| ~ red(X0,X1) ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,definition,
( sQ1_spl
<=> goal ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f28,plain,
( ~ sQ1_spl
| goal ),
inference(component_clause,[status(thm)],[f27]) ).
fof(f30,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f10,f24,f27]) ).
fof(f31,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(f32,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ green(X0,X2)
| ~ green(X1,X2)
| ~ green(X0,X1) ),
inference(component_clause,[status(thm)],[f31]) ).
fof(f34,plain,
( sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f13,f31,f27]) ).
fof(f35,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f28,f23]) ).
fof(f36,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0] :
( less_than(X0,n5)
| ~ less_than(X0,n4) ),
inference(resolution,[status(thm)],[f20,f17]) ).
fof(f38,plain,
! [X0] :
( less_than(X0,n4)
| ~ less_than(X0,n3) ),
inference(resolution,[status(thm)],[f20,f16]) ).
fof(f39,plain,
! [X0] :
( less_than(X0,n3)
| ~ less_than(X0,n2) ),
inference(resolution,[status(thm)],[f20,f15]) ).
fof(f40,plain,
! [X0] :
( less_than(X0,n2)
| ~ less_than(X0,n1) ),
inference(resolution,[status(thm)],[f20,f14]) ).
fof(f41,plain,
less_than(n3,n5),
inference(resolution,[status(thm)],[f37,f16]) ).
fof(f42,plain,
less_than(n2,n4),
inference(resolution,[status(thm)],[f38,f15]) ).
fof(f43,plain,
less_than(n1,n3),
inference(resolution,[status(thm)],[f39,f14]) ).
fof(f44,plain,
( green(n4,n5)
| red(n4,n5) ),
inference(resolution,[status(thm)],[f22,f17]) ).
fof(f45,plain,
( green(n3,n4)
| red(n3,n4) ),
inference(resolution,[status(thm)],[f22,f16]) ).
fof(f46,plain,
( green(n2,n3)
| red(n2,n3) ),
inference(resolution,[status(thm)],[f22,f15]) ).
fof(f47,plain,
( green(n1,n2)
| red(n1,n2) ),
inference(resolution,[status(thm)],[f22,f14]) ).
fof(f48,definition,
( sQ3_spl
<=> red(n4,n5) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f49,plain,
( ~ sQ3_spl
| red(n4,n5) ),
inference(component_clause,[status(thm)],[f48]) ).
fof(f50,plain,
( sQ3_spl
| ~ red(n4,n5) ),
inference(component_clause,[status(thm)],[f48]) ).
fof(f51,definition,
( sQ4_spl
<=> green(n4,n5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( ~ sQ4_spl
| green(n4,n5) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f53,plain,
( sQ4_spl
| ~ green(n4,n5) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,plain,
( sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f44,f48,f51]) ).
fof(f55,definition,
( sQ5_spl
<=> red(n3,n4) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f56,plain,
( ~ sQ5_spl
| red(n3,n4) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f57,plain,
( sQ5_spl
| ~ red(n3,n4) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,definition,
( sQ6_spl
<=> green(n3,n4) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( ~ sQ6_spl
| green(n3,n4) ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f60,plain,
( sQ6_spl
| ~ green(n3,n4) ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f45,f55,f58]) ).
fof(f62,definition,
( sQ7_spl
<=> red(n2,n3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f63,plain,
( ~ sQ7_spl
| red(n2,n3) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f64,plain,
( sQ7_spl
| ~ red(n2,n3) ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,definition,
( sQ8_spl
<=> green(n2,n3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f66,plain,
( ~ sQ8_spl
| green(n2,n3) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f67,plain,
( sQ8_spl
| ~ green(n2,n3) ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,plain,
( sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f46,f62,f65]) ).
fof(f69,definition,
( sQ9_spl
<=> red(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( ~ sQ9_spl
| red(n1,n2) ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f71,plain,
( sQ9_spl
| ~ red(n1,n2) ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,definition,
( sQ10_spl
<=> green(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( ~ sQ10_spl
| green(n1,n2) ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f47,f69,f72]) ).
fof(f76,plain,
( green(n3,n5)
| red(n3,n5) ),
inference(resolution,[status(thm)],[f41,f22]) ).
fof(f77,plain,
! [X0] :
( less_than(X0,n5)
| ~ less_than(X0,n3) ),
inference(resolution,[status(thm)],[f41,f20]) ).
fof(f78,definition,
( sQ11_spl
<=> red(n3,n5) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ11_spl
| red(n3,n5) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f80,plain,
( sQ11_spl
| ~ red(n3,n5) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,definition,
( sQ12_spl
<=> green(n3,n5) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ12_spl
| green(n3,n5) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f83,plain,
( sQ12_spl
| ~ green(n3,n5) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f76,f78,f81]) ).
fof(f85,plain,
less_than(n2,n5),
inference(resolution,[status(thm)],[f42,f37]) ).
fof(f86,plain,
( green(n2,n4)
| red(n2,n4) ),
inference(resolution,[status(thm)],[f42,f22]) ).
fof(f87,plain,
! [X0] :
( less_than(X0,n4)
| ~ less_than(X0,n2) ),
inference(resolution,[status(thm)],[f42,f20]) ).
fof(f88,definition,
( sQ13_spl
<=> red(n2,n4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ13_spl
| red(n2,n4) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f90,plain,
( sQ13_spl
| ~ red(n2,n4) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,definition,
( sQ14_spl
<=> green(n2,n4) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( ~ sQ14_spl
| green(n2,n4) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f93,plain,
( sQ14_spl
| ~ green(n2,n4) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,plain,
( sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f86,f88,f91]) ).
fof(f95,plain,
less_than(n1,n4),
inference(resolution,[status(thm)],[f43,f38]) ).
fof(f96,plain,
( green(n1,n3)
| red(n1,n3) ),
inference(resolution,[status(thm)],[f43,f22]) ).
fof(f97,plain,
! [X0] :
( less_than(X0,n3)
| ~ less_than(X0,n1) ),
inference(resolution,[status(thm)],[f43,f20]) ).
fof(f98,definition,
( sQ15_spl
<=> red(n1,n3) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f99,plain,
( ~ sQ15_spl
| red(n1,n3) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( sQ15_spl
| ~ red(n1,n3) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,definition,
( sQ16_spl
<=> green(n1,n3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ16_spl
| green(n1,n3) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f103,plain,
( sQ16_spl
| ~ green(n1,n3) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f96,f98,f101]) ).
fof(f105,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ red(n1,n1) ),
inference(resolution,[status(thm)],[f70,f25]) ).
fof(f106,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ9_spl
| ~ red(X0,n2)
| ~ red(n1,X0) ),
inference(resolution,[status(thm)],[f70,f25]) ).
fof(f108,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ9_spl
| ~ red(X0,n2)
| ~ red(X0,n1) ),
inference(resolution,[status(thm)],[f70,f25]) ).
fof(f109,plain,
( ~ sQ9_spl
| ~ sQ0_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f106,f70]) ).
fof(f111,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f63,f25]) ).
fof(f112,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ7_spl
| ~ red(X0,n3)
| ~ red(n2,X0) ),
inference(resolution,[status(thm)],[f63,f25]) ).
fof(f114,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ7_spl
| ~ red(X0,n3)
| ~ red(X0,n2) ),
inference(resolution,[status(thm)],[f63,f25]) ).
fof(f115,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ red(n3,n3) ),
inference(resolution,[status(thm)],[f112,f63]) ).
fof(f117,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ red(n3,n3) ),
inference(resolution,[status(thm)],[f56,f25]) ).
fof(f118,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ5_spl
| ~ red(X0,n4)
| ~ red(n3,X0) ),
inference(resolution,[status(thm)],[f56,f25]) ).
fof(f120,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ5_spl
| ~ red(X0,n4)
| ~ red(X0,n3) ),
inference(resolution,[status(thm)],[f56,f25]) ).
fof(f121,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ red(n4,n4) ),
inference(resolution,[status(thm)],[f118,f56]) ).
fof(f124,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ3_spl
| ~ red(X0,n5)
| ~ red(n4,X0) ),
inference(resolution,[status(thm)],[f49,f25]) ).
fof(f126,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ3_spl
| ~ red(X0,n5)
| ~ red(X0,n4) ),
inference(resolution,[status(thm)],[f49,f25]) ).
fof(f127,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| ~ red(n5,n5) ),
inference(resolution,[status(thm)],[f124,f49]) ).
fof(f130,plain,
less_than(n1,n5),
inference(resolution,[status(thm)],[f77,f43]) ).
fof(f131,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ11_spl
| ~ red(n5,n4) ),
inference(resolution,[status(thm)],[f79,f118]) ).
fof(f132,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ11_spl
| ~ red(n3,n4) ),
inference(resolution,[status(thm)],[f79,f126]) ).
fof(f134,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ11_spl
| ~ red(X0,n5)
| ~ red(n3,X0) ),
inference(resolution,[status(thm)],[f79,f25]) ).
fof(f136,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ11_spl
| ~ red(X0,n5)
| ~ red(X0,n3) ),
inference(resolution,[status(thm)],[f79,f25]) ).
fof(f137,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ11_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f132,f56]) ).
fof(f138,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ11_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( green(n2,n5)
| red(n2,n5) ),
inference(resolution,[status(thm)],[f85,f22]) ).
fof(f140,plain,
! [X0] :
( less_than(X0,n5)
| ~ less_than(X0,n2) ),
inference(resolution,[status(thm)],[f85,f20]) ).
fof(f141,definition,
( sQ17_spl
<=> red(n2,n5) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ17_spl
| red(n2,n5) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( sQ17_spl
| ~ red(n2,n5) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ18_spl
<=> green(n2,n5) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ18_spl
| green(n2,n5) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f146,plain,
( sQ18_spl
| ~ green(n2,n5) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f139,f141,f144]) ).
fof(f150,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ13_spl
| ~ red(X0,n4)
| ~ red(n2,X0) ),
inference(resolution,[status(thm)],[f89,f25]) ).
fof(f152,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ13_spl
| ~ red(X0,n4)
| ~ red(X0,n2) ),
inference(resolution,[status(thm)],[f89,f25]) ).
fof(f153,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ red(n4,n4) ),
inference(resolution,[status(thm)],[f150,f89]) ).
fof(f155,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f152,f89]) ).
fof(f157,plain,
( green(n1,n4)
| red(n1,n4) ),
inference(resolution,[status(thm)],[f95,f22]) ).
fof(f158,plain,
! [X0] :
( less_than(X0,n4)
| ~ less_than(X0,n1) ),
inference(resolution,[status(thm)],[f95,f20]) ).
fof(f159,definition,
( sQ19_spl
<=> red(n1,n4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ19_spl
| red(n1,n4) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ19_spl
| ~ red(n1,n4) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ20_spl
<=> green(n1,n4) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ20_spl
| green(n1,n4) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( sQ20_spl
| ~ green(n1,n4) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( sQ20_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f157,f159,f162]) ).
fof(f166,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ sQ15_spl
| ~ red(n3,n2) ),
inference(resolution,[status(thm)],[f99,f106]) ).
fof(f167,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ red(n1,n2) ),
inference(resolution,[status(thm)],[f99,f114]) ).
fof(f168,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ red(n1,n1) ),
inference(resolution,[status(thm)],[f99,f25]) ).
fof(f169,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ15_spl
| ~ red(X0,n3)
| ~ red(n1,X0) ),
inference(resolution,[status(thm)],[f99,f25]) ).
fof(f171,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ15_spl
| ~ red(X0,n3)
| ~ red(X0,n1) ),
inference(resolution,[status(thm)],[f99,f25]) ).
fof(f172,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f167,f70]) ).
fof(f173,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( ~ sQ15_spl
| ~ sQ0_spl
| ~ red(n3,n3) ),
inference(resolution,[status(thm)],[f169,f99]) ).
fof(f175,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ15_spl
| ~ red(n2,n1) ),
inference(resolution,[status(thm)],[f171,f63]) ).
fof(f177,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ green(n3,n3) ),
inference(resolution,[status(thm)],[f59,f32]) ).
fof(f178,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ6_spl
| ~ green(X0,n4)
| ~ green(n3,X0) ),
inference(resolution,[status(thm)],[f59,f32]) ).
fof(f180,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ6_spl
| ~ green(X0,n4)
| ~ green(X0,n3) ),
inference(resolution,[status(thm)],[f59,f32]) ).
fof(f181,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| ~ green(n4,n4) ),
inference(resolution,[status(thm)],[f178,f59]) ).
fof(f184,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| ~ green(X0,n5)
| ~ green(n4,X0) ),
inference(resolution,[status(thm)],[f52,f32]) ).
fof(f186,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ4_spl
| ~ green(X0,n5)
| ~ green(X0,n4) ),
inference(resolution,[status(thm)],[f52,f32]) ).
fof(f187,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| ~ green(n5,n5) ),
inference(resolution,[status(thm)],[f184,f52]) ).
fof(f188,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| ~ green(n4,n4) ),
inference(resolution,[status(thm)],[f186,f52]) ).
fof(f189,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| ~ green(n1,n1) ),
inference(resolution,[status(thm)],[f73,f32]) ).
fof(f190,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ10_spl
| ~ green(X0,n2)
| ~ green(n1,X0) ),
inference(resolution,[status(thm)],[f73,f32]) ).
fof(f192,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ10_spl
| ~ green(X0,n2)
| ~ green(X0,n1) ),
inference(resolution,[status(thm)],[f73,f32]) ).
fof(f193,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| ~ green(n2,n2) ),
inference(resolution,[status(thm)],[f190,f73]) ).
fof(f195,plain,
( green(n1,n5)
| red(n1,n5) ),
inference(resolution,[status(thm)],[f130,f22]) ).
fof(f196,plain,
! [X0] :
( less_than(X0,n5)
| ~ less_than(X0,n1) ),
inference(resolution,[status(thm)],[f130,f20]) ).
fof(f197,definition,
( sQ21_spl
<=> red(n1,n5) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ21_spl
| red(n1,n5) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ22_spl
<=> green(n1,n5) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ22_spl
| green(n1,n5) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f195,f197,f200]) ).
fof(f205,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ8_spl
| ~ green(X0,n3)
| ~ green(n2,X0) ),
inference(resolution,[status(thm)],[f66,f32]) ).
fof(f206,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| ~ green(n2,n2) ),
inference(resolution,[status(thm)],[f66,f32]) ).
fof(f207,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ8_spl
| ~ green(X0,n3)
| ~ green(X0,n2) ),
inference(resolution,[status(thm)],[f66,f32]) ).
fof(f208,plain,
( ~ sQ8_spl
| ~ sQ2_spl
| ~ green(n3,n3) ),
inference(resolution,[status(thm)],[f205,f66]) ).
fof(f209,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ12_spl
| ~ green(n5,n4) ),
inference(resolution,[status(thm)],[f82,f178]) ).
fof(f210,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ12_spl
| ~ green(n3,n4) ),
inference(resolution,[status(thm)],[f82,f186]) ).
fof(f211,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ green(n3,n3) ),
inference(resolution,[status(thm)],[f82,f32]) ).
fof(f212,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ12_spl
| ~ green(X0,n5)
| ~ green(n3,X0) ),
inference(resolution,[status(thm)],[f82,f32]) ).
fof(f214,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ12_spl
| ~ green(X0,n5)
| ~ green(X0,n3) ),
inference(resolution,[status(thm)],[f82,f32]) ).
fof(f215,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f59]) ).
fof(f216,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ16_spl
| ~ green(n3,n2) ),
inference(resolution,[status(thm)],[f102,f190]) ).
fof(f219,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ16_spl
| ~ green(X0,n3)
| ~ green(n1,X0) ),
inference(resolution,[status(thm)],[f102,f32]) ).
fof(f221,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ16_spl
| ~ green(X0,n3)
| ~ green(X0,n1) ),
inference(resolution,[status(thm)],[f102,f32]) ).
fof(f222,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ14_spl
| ~ green(n4,n3) ),
inference(resolution,[status(thm)],[f92,f205]) ).
fof(f223,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ14_spl
| ~ green(n2,n3) ),
inference(resolution,[status(thm)],[f92,f180]) ).
fof(f224,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| ~ green(n2,n2) ),
inference(resolution,[status(thm)],[f92,f32]) ).
fof(f225,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ14_spl
| ~ green(X0,n4)
| ~ green(n2,X0) ),
inference(resolution,[status(thm)],[f92,f32]) ).
fof(f226,plain,
( ~ sQ2_spl
| ~ sQ14_spl
| ~ green(n2,n2) ),
inference(resolution,[status(thm)],[f92,f32]) ).
fof(f227,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ14_spl
| ~ green(X0,n4)
| ~ green(X0,n2) ),
inference(resolution,[status(thm)],[f92,f32]) ).
fof(f228,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ14_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f66]) ).
fof(f229,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ14_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ red(n4,n3) ),
inference(resolution,[status(thm)],[f136,f49]) ).
fof(f231,plain,
( ~ sQ16_spl
| ~ sQ2_spl
| ~ green(n3,n3) ),
inference(resolution,[status(thm)],[f219,f102]) ).
fof(f232,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| ~ sQ16_spl
| ~ green(n2,n3) ),
inference(resolution,[status(thm)],[f219,f73]) ).
fof(f233,plain,
( ~ sQ16_spl
| ~ sQ2_spl
| ~ green(n1,n1) ),
inference(resolution,[status(thm)],[f221,f102]) ).
fof(f235,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ red(n5,n5) ),
inference(resolution,[status(thm)],[f79,f134]) ).
fof(f237,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ11_spl
| ~ red(n3,n4) ),
inference(resolution,[status(thm)],[f79,f126]) ).
fof(f240,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ red(n3,n3) ),
inference(resolution,[status(thm)],[f79,f25]) ).
fof(f242,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ17_spl
| ~ red(n5,n4) ),
inference(resolution,[status(thm)],[f142,f150]) ).
fof(f243,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ17_spl
| ~ red(n5,n3) ),
inference(resolution,[status(thm)],[f142,f112]) ).
fof(f244,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ17_spl
| ~ red(n2,n3) ),
inference(resolution,[status(thm)],[f142,f136]) ).
fof(f245,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ17_spl
| ~ red(n2,n4) ),
inference(resolution,[status(thm)],[f142,f126]) ).
fof(f247,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ17_spl
| ~ red(X0,n5)
| ~ red(n2,X0) ),
inference(resolution,[status(thm)],[f142,f25]) ).
fof(f248,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f142,f25]) ).
fof(f249,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ17_spl
| ~ red(X0,n5)
| ~ red(X0,n2) ),
inference(resolution,[status(thm)],[f142,f25]) ).
fof(f250,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ17_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f244,f63]) ).
fof(f251,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ17_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ red(n1,n2) ),
inference(resolution,[status(thm)],[f160,f152]) ).
fof(f253,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| ~ red(n1,n1) ),
inference(resolution,[status(thm)],[f160,f25]) ).
fof(f254,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ19_spl
| ~ red(X0,n4)
| ~ red(n1,X0) ),
inference(resolution,[status(thm)],[f160,f25]) ).
fof(f256,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ19_spl
| ~ red(X0,n4)
| ~ red(X0,n1) ),
inference(resolution,[status(thm)],[f160,f25]) ).
fof(f257,plain,
( ~ sQ19_spl
| ~ sQ0_spl
| ~ red(n4,n4) ),
inference(resolution,[status(thm)],[f254,f160]) ).
fof(f259,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ19_spl
| ~ red(n2,n1) ),
inference(resolution,[status(thm)],[f256,f89]) ).
fof(f260,plain,
( ~ sQ0_spl
| ~ sQ19_spl
| ~ sQ21_spl
| ~ red(n5,n4) ),
inference(resolution,[status(thm)],[f198,f254]) ).
fof(f261,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ21_spl
| ~ red(n1,n3) ),
inference(resolution,[status(thm)],[f198,f136]) ).
fof(f262,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ21_spl
| ~ red(n1,n4) ),
inference(resolution,[status(thm)],[f198,f126]) ).
fof(f264,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ21_spl
| ~ red(X0,n5)
| ~ red(n1,X0) ),
inference(resolution,[status(thm)],[f198,f25]) ).
fof(f266,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ21_spl
| ~ red(X0,n5)
| ~ red(X0,n1) ),
inference(resolution,[status(thm)],[f198,f25]) ).
fof(f267,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ21_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f160]) ).
fof(f268,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ21_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f232,f65,f101,f31,f72]) ).
fof(f270,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ red(n2,n3) ),
inference(resolution,[status(thm)],[f120,f89]) ).
fof(f271,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| ~ sQ18_spl
| ~ green(n5,n3) ),
inference(resolution,[status(thm)],[f145,f205]) ).
fof(f272,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ18_spl
| ~ green(n2,n3) ),
inference(resolution,[status(thm)],[f145,f214]) ).
fof(f273,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| ~ green(n2,n2) ),
inference(resolution,[status(thm)],[f145,f32]) ).
fof(f274,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ18_spl
| ~ green(X0,n5)
| ~ green(n2,X0) ),
inference(resolution,[status(thm)],[f145,f32]) ).
fof(f275,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| ~ green(n2,n2) ),
inference(resolution,[status(thm)],[f145,f32]) ).
fof(f276,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ18_spl
| ~ green(X0,n5)
| ~ green(X0,n2) ),
inference(resolution,[status(thm)],[f145,f32]) ).
fof(f277,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ18_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f272,f65,f144,f81,f31]) ).
fof(f278,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ17_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f89]) ).
fof(f279,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ17_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f278]) ).
fof(f280,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ17_spl
| ~ red(n4,n5) ),
inference(resolution,[status(thm)],[f247,f89]) ).
fof(f281,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ22_spl
| ~ green(n1,n4) ),
inference(resolution,[status(thm)],[f201,f186]) ).
fof(f282,plain,
( ~ sQ2_spl
| ~ sQ22_spl
| ~ green(n1,n1) ),
inference(resolution,[status(thm)],[f201,f32]) ).
fof(f283,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ22_spl
| ~ green(X0,n5)
| ~ green(n1,X0) ),
inference(resolution,[status(thm)],[f201,f32]) ).
fof(f284,plain,
( ~ sQ2_spl
| ~ sQ22_spl
| ~ green(n1,n1) ),
inference(resolution,[status(thm)],[f201,f32]) ).
fof(f285,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ22_spl
| ~ green(X0,n5)
| ~ green(X0,n1) ),
inference(resolution,[status(thm)],[f201,f32]) ).
fof(f286,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ22_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f163]) ).
fof(f287,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| ~ sQ22_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ21_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f261,f99]) ).
fof(f289,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ21_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f252,f69,f159,f88,f24]) ).
fof(f291,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f270,f62,f55,f24,f88]) ).
fof(f293,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ red(n4,n4) ),
inference(resolution,[status(thm)],[f56,f118]) ).
fof(f299,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f70,f106]) ).
fof(f300,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ red(n1,n1) ),
inference(resolution,[status(thm)],[f70,f108]) ).
fof(f301,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ red(n1,n1) ),
inference(resolution,[status(thm)],[f70,f25]) ).
fof(f303,plain,
( ~ sQ0_spl
| ~ sQ9_spl
| ~ red(n1,n1) ),
inference(resolution,[status(thm)],[f70,f25]) ).
fof(f305,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| ~ red(n5,n5) ),
inference(resolution,[status(thm)],[f142,f247]) ).
fof(f317,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ12_spl
| ~ green(n4,n3) ),
inference(resolution,[status(thm)],[f214,f52]) ).
fof(f318,plain,
( ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ15_spl
| ~ red(n2,n3) ),
inference(resolution,[status(thm)],[f169,f70]) ).
fof(f319,plain,
( ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ21_spl
| ~ red(n2,n5) ),
inference(resolution,[status(thm)],[f264,f70]) ).
fof(f320,plain,
( ~ sQ9_spl
| ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f319,f141,f197,f24,f69]) ).
fof(f321,plain,
( ~ sQ17_spl
| ~ sQ0_spl
| ~ sQ21_spl
| ~ red(n2,n1) ),
inference(resolution,[status(thm)],[f266,f142]) ).
fof(f322,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ19_spl
| ~ red(n3,n1) ),
inference(resolution,[status(thm)],[f256,f56]) ).
fof(f323,plain,
( ~ sQ17_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n5,n4) ),
inference(resolution,[status(thm)],[f150,f142]) ).
fof(f324,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n3,n2) ),
inference(resolution,[status(thm)],[f152,f56]) ).
fof(f325,plain,
( ~ sQ2_spl
| ~ sQ8_spl
| ~ green(n3,n3) ),
inference(resolution,[status(thm)],[f66,f205]) ).
fof(f332,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ red(n5,n5) ),
inference(resolution,[status(thm)],[f198,f264]) ).
fof(f333,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ21_spl
| ~ red(n5,n3) ),
inference(resolution,[status(thm)],[f198,f169]) ).
fof(f335,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| ~ sQ21_spl
| ~ red(n1,n2) ),
inference(resolution,[status(thm)],[f198,f249]) ).
fof(f338,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ red(n1,n1) ),
inference(resolution,[status(thm)],[f198,f25]) ).
fof(f341,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ19_spl
| ~ red(n4,n5) ),
inference(resolution,[status(thm)],[f160,f264]) ).
fof(f342,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ sQ19_spl
| ~ red(n4,n3) ),
inference(resolution,[status(thm)],[f160,f169]) ).
fof(f343,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ19_spl
| ~ red(n1,n2) ),
inference(resolution,[status(thm)],[f160,f152]) ).
fof(f345,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ19_spl
| ~ red(n1,n3) ),
inference(resolution,[status(thm)],[f160,f120]) ).
fof(f350,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ19_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f345,f98,f159,f55,f24]) ).
fof(f351,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| ~ sQ3_spl
| ~ red(n1,n4) ),
inference(resolution,[status(thm)],[f126,f198]) ).
fof(f352,plain,
( ~ sQ21_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ red(n1,n3) ),
inference(resolution,[status(thm)],[f136,f198]) ).
fof(f353,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ10_spl
| ~ green(n2,n3) ),
inference(resolution,[status(thm)],[f73,f219]) ).
fof(f363,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ3_spl
| ~ red(n4,n1) ),
inference(resolution,[status(thm)],[f49,f266]) ).
fof(f366,plain,
( ~ sQ0_spl
| ~ sQ3_spl
| ~ red(n4,n4) ),
inference(resolution,[status(thm)],[f49,f25]) ).
fof(f368,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ13_spl
| ~ red(n4,n3) ),
inference(resolution,[status(thm)],[f89,f112]) ).
fof(f370,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f89,f152]) ).
fof(f371,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f89,f25]) ).
fof(f373,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f89,f25]) ).
fof(f376,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ sQ7_spl
| ~ red(n3,n4) ),
inference(resolution,[status(thm)],[f63,f150]) ).
fof(f388,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ red(n5,n5) ),
inference(resolution,[status(thm)],[f79,f134]) ).
fof(f389,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ red(n3,n3) ),
inference(resolution,[status(thm)],[f79,f136]) ).
fof(f391,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ11_spl
| ~ red(n3,n1) ),
inference(resolution,[status(thm)],[f79,f266]) ).
fof(f392,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ red(n3,n3) ),
inference(resolution,[status(thm)],[f79,f25]) ).
fof(f394,plain,
( ~ sQ0_spl
| ~ sQ11_spl
| ~ red(n3,n3) ),
inference(resolution,[status(thm)],[f79,f25]) ).
fof(f396,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ green(n3,n3) ),
inference(resolution,[status(thm)],[f102,f219]) ).
fof(f398,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ green(n1,n1) ),
inference(resolution,[status(thm)],[f102,f221]) ).
fof(f399,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ green(n1,n1) ),
inference(resolution,[status(thm)],[f102,f32]) ).
fof(f401,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ green(n1,n1) ),
inference(resolution,[status(thm)],[f102,f32]) ).
fof(f404,plain,
( ~ sQ2_spl
| ~ sQ16_spl
| ~ sQ20_spl
| ~ green(n4,n3) ),
inference(resolution,[status(thm)],[f163,f219]) ).
fof(f405,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ20_spl
| ~ green(n4,n2) ),
inference(resolution,[status(thm)],[f163,f190]) ).
fof(f406,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ20_spl
| ~ green(n1,n3) ),
inference(resolution,[status(thm)],[f163,f180]) ).
fof(f407,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| ~ green(n1,n1) ),
inference(resolution,[status(thm)],[f163,f32]) ).
fof(f408,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ20_spl
| ~ green(X0,n4)
| ~ green(n1,X0) ),
inference(resolution,[status(thm)],[f163,f32]) ).
fof(f409,plain,
( ~ sQ2_spl
| ~ sQ20_spl
| ~ green(n1,n1) ),
inference(resolution,[status(thm)],[f163,f32]) ).
fof(f410,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ20_spl
| ~ green(X0,n4)
| ~ green(X0,n1) ),
inference(resolution,[status(thm)],[f163,f32]) ).
fof(f411,plain,
( ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f406,f101,f162,f58,f31]) ).
fof(f412,plain,
( ~ sQ20_spl
| ~ sQ2_spl
| ~ green(n4,n4) ),
inference(resolution,[status(thm)],[f408,f163]) ).
fof(f413,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| ~ sQ20_spl
| ~ green(n2,n4) ),
inference(resolution,[status(thm)],[f408,f73]) ).
fof(f414,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| ~ sQ20_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f413,f92]) ).
fof(f415,plain,
( ~ sQ10_spl
| ~ sQ2_spl
| ~ sQ20_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f414]) ).
fof(f418,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ12_spl
| ~ green(n4,n5) ),
inference(resolution,[status(thm)],[f212,f59]) ).
fof(f419,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n3,n4) ),
inference(resolution,[status(thm)],[f150,f63]) ).
fof(f420,plain,
( ~ sQ6_spl
| ~ sQ2_spl
| ~ sQ20_spl
| ~ green(n3,n1) ),
inference(resolution,[status(thm)],[f410,f59]) ).
fof(f421,plain,
( ~ sQ20_spl
| ~ sQ2_spl
| ~ green(n1,n1) ),
inference(resolution,[status(thm)],[f410,f163]) ).
fof(f422,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ red(n3,n3) ),
inference(resolution,[status(thm)],[f99,f169]) ).
fof(f423,plain,
( ~ sQ0_spl
| ~ sQ21_spl
| ~ sQ15_spl
| ~ red(n3,n5) ),
inference(resolution,[status(thm)],[f99,f264]) ).
fof(f424,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ red(n1,n1) ),
inference(resolution,[status(thm)],[f99,f171]) ).
fof(f425,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ15_spl
| ~ red(n1,n2) ),
inference(resolution,[status(thm)],[f99,f114]) ).
fof(f426,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ red(n1,n1) ),
inference(resolution,[status(thm)],[f99,f25]) ).
fof(f428,plain,
( ~ sQ0_spl
| ~ sQ15_spl
| ~ red(n1,n1) ),
inference(resolution,[status(thm)],[f99,f25]) ).
fof(f430,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ green(n5,n5) ),
inference(resolution,[status(thm)],[f82,f212]) ).
fof(f432,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| ~ sQ12_spl
| ~ green(n3,n2) ),
inference(resolution,[status(thm)],[f82,f276]) ).
fof(f433,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ green(n3,n3) ),
inference(resolution,[status(thm)],[f82,f214]) ).
fof(f434,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ green(n3,n3) ),
inference(resolution,[status(thm)],[f82,f32]) ).
fof(f436,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ green(n3,n3) ),
inference(resolution,[status(thm)],[f82,f32]) ).
fof(f438,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n4,n4) ),
inference(resolution,[status(thm)],[f89,f150]) ).
fof(f440,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f89,f152]) ).
fof(f441,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f89,f25]) ).
fof(f443,plain,
( ~ sQ0_spl
| ~ sQ13_spl
| ~ red(n2,n2) ),
inference(resolution,[status(thm)],[f89,f25]) ).
fof(f445,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| ~ green(n5,n5) ),
inference(resolution,[status(thm)],[f145,f274]) ).
fof(f446,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| ~ green(n2,n2) ),
inference(resolution,[status(thm)],[f145,f276]) ).
fof(f447,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| ~ sQ18_spl
| ~ green(n2,n3) ),
inference(resolution,[status(thm)],[f145,f214]) ).
fof(f448,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| ~ green(n2,n2) ),
inference(resolution,[status(thm)],[f145,f32]) ).
fof(f450,plain,
( ~ sQ2_spl
| ~ sQ18_spl
| ~ green(n2,n2) ),
inference(resolution,[status(thm)],[f145,f32]) ).
fof(model,axiom,
( sQ0_spl
| ~ sQ1_spl
| sQ2_spl
| sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| sQ12_spl
| sQ13_spl
| ~ sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| sQ18_spl
| ~ sQ19_spl
| sQ20_spl
| sQ21_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA013+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n003.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 18:23:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.41 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.12/0.41 % SZS output start Saturation for theBenchmark
% See solution above
% 0.12/0.45 % Elapsed time: 0.055232 seconds
% 0.12/0.45 % CPU time: 0.158770 seconds
% 0.12/0.45 % Total memory used: 17.544 MB
% 0.12/0.45 % Net memory used: 17.072 MB
%------------------------------------------------------------------------------