%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRA014+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 01:23:38 PM UTC 2026
% Result : Theorem 0.95s 1.15s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 142 ( 19 unt; 0 def)
% Number of atoms : 390 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 514 ( 266 ~; 235 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 101 ( 0 sgn 101 !; 0 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( ( red(X0,X2)
& red(X1,X2)
& red(X0,X1) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',red_clique) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( green(X0,X2)
& green(X1,X2)
& green(X0,X1) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',green_clique) ).
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/sandbox/benchmark/theBenchmark.p',ordering) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( less_than(X1,X2)
& less_than(X0,X1) )
=> less_than(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_than_transitive) ).
fof(f5,axiom,
! [X0,X1] :
( less_than(X0,X1)
=> ( green(X0,X1)
| red(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partition) ).
fof(f6,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f7,negated_conjecture,
~ goal,
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
~ goal,
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] :
( ~ red(X0,X2)
| ~ red(X1,X2)
| ~ red(X0,X1)
| goal ),
inference(ennf_transformation,[],[f1]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ~ red(X0,X2)
| ~ red(X1,X2)
| ~ red(X0,X1)
| goal ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ~ green(X0,X2)
| ~ green(X1,X2)
| ~ green(X0,X1)
| goal ),
inference(ennf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ green(X0,X2)
| ~ green(X1,X2)
| ~ green(X0,X1)
| goal ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ less_than(X1,X2)
| ~ less_than(X0,X1)
| less_than(X0,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ less_than(X1,X2)
| ~ less_than(X0,X1)
| less_than(X0,X2) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( ~ less_than(X0,X1)
| green(X0,X1)
| red(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f16,plain,
! [X0,X1] :
( ~ less_than(X0,X1)
| green(X0,X1)
| red(X0,X1) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ red(X0,X2)
| ~ red(X1,X2)
| ~ red(X0,X1)
| goal ),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ green(X0,X2)
| ~ green(X1,X2)
| ~ green(X0,X1)
| goal ),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
less_than(n5,n6),
inference(cnf_transformation,[],[f3]) ).
fof(f20,plain,
less_than(n4,n5),
inference(cnf_transformation,[],[f3]) ).
fof(f21,plain,
less_than(n3,n4),
inference(cnf_transformation,[],[f3]) ).
fof(f22,plain,
less_than(n2,n3),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
less_than(n1,n2),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ less_than(X1,X2)
| ~ less_than(X0,X1)
| less_than(X0,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f25,plain,
! [X0,X1] :
( ~ less_than(X0,X1)
| green(X0,X1)
| red(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
~ goal,
inference(cnf_transformation,[],[f8]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( goal
| ~ red(X1,X2)
| ~ red(X0,X2)
| ~ red(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( goal
| ~ green(X1,X2)
| ~ green(X0,X2)
| ~ green(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_51,plain,
less_than(n1,n2),
inference(cnf_transformation,[],[f23]) ).
tcf(c_52,plain,
less_than(n2,n3),
inference(cnf_transformation,[],[f22]) ).
tcf(c_53,plain,
less_than(n3,n4),
inference(cnf_transformation,[],[f21]) ).
tcf(c_54,plain,
less_than(n4,n5),
inference(cnf_transformation,[],[f20]) ).
tcf(c_55,plain,
less_than(n5,n6),
inference(cnf_transformation,[],[f19]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_than(X0,X2)
| ~ less_than(X1,X2)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( green(X0,X1)
| red(X0,X1)
| ~ less_than(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_58,negated_conjecture,
~ goal,
inference(cnf_transformation,[],[f26]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ green(X0,X1)
| ~ green(X0,X2)
| ~ green(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_58,c_50]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ green(X1,X2)
| ~ green(X0,X2)
| ~ green(X0,X1) ),
inference(renaming,[status(thm)],[c_62]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ red(X0,X1)
| ~ red(X0,X2)
| ~ red(X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_58,c_49]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ red(X1,X2)
| ~ red(X0,X2)
| ~ red(X0,X1) ),
inference(renaming,[status(thm)],[c_65]) ).
tcf(c_140,plain,
! [X0: $i] :
( less_than(X0,n3)
| ~ less_than(n2,n3)
| ~ less_than(X0,n2) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_141,plain,
! [X0: $i] :
( less_than(X0,n4)
| ~ less_than(n3,n4)
| ~ less_than(X0,n3) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_142,plain,
( less_than(n2,n4)
| ~ less_than(n3,n4)
| ~ less_than(n2,n3) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_143,plain,
! [X0: $i] :
( less_than(X0,n5)
| ~ less_than(n4,n5)
| ~ less_than(X0,n4) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_144,plain,
( less_than(n2,n5)
| ~ less_than(n4,n5)
| ~ less_than(n2,n4) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_145,plain,
! [X0: $i] :
( less_than(X0,n6)
| ~ less_than(n5,n6)
| ~ less_than(X0,n5) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_146,plain,
( less_than(n2,n6)
| ~ less_than(n5,n6)
| ~ less_than(n2,n5) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_147,plain,
( green(n1,n2)
| red(n1,n2)
| ~ less_than(n1,n2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_148,plain,
( green(n2,n3)
| red(n2,n3)
| ~ less_than(n2,n3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_149,plain,
( green(n3,n4)
| red(n3,n4)
| ~ less_than(n3,n4) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_150,plain,
( green(n4,n5)
| red(n4,n5)
| ~ less_than(n4,n5) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_151,plain,
( green(n5,n6)
| red(n5,n6)
| ~ less_than(n5,n6) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_153,plain,
! [X0: $i] :
( ~ red(n2,n3)
| ~ red(X0,n3)
| ~ red(X0,n2) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_154,plain,
! [X0: $i] :
( ~ red(n3,n4)
| ~ red(X0,n4)
| ~ red(X0,n3) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_155,plain,
( ~ red(n3,n4)
| ~ red(n2,n4)
| ~ red(n2,n3) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_156,plain,
! [X0: $i] :
( ~ red(n4,n5)
| ~ red(X0,n5)
| ~ red(X0,n4) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_157,plain,
( ~ red(n4,n5)
| ~ red(n2,n5)
| ~ red(n2,n4) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_158,plain,
! [X0: $i] :
( ~ red(n5,n6)
| ~ red(X0,n6)
| ~ red(X0,n5) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_159,plain,
( ~ red(n5,n6)
| ~ red(n2,n6)
| ~ red(n2,n5) ),
inference(instantiation,[status(thm)],[c_158]) ).
tcf(c_160,plain,
( less_than(n1,n3)
| ~ less_than(n2,n3)
| ~ less_than(n1,n2) ),
inference(instantiation,[status(thm)],[c_140]) ).
tcf(c_161,plain,
! [X0: $i] :
( green(X0,n4)
| red(X0,n4)
| ~ less_than(X0,n4) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_162,plain,
( green(n2,n4)
| red(n2,n4)
| ~ less_than(n2,n4) ),
inference(instantiation,[status(thm)],[c_161]) ).
tcf(c_164,plain,
! [X0: $i] :
( green(X0,n5)
| red(X0,n5)
| ~ less_than(X0,n5) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_165,plain,
( green(n2,n5)
| red(n2,n5)
| ~ less_than(n2,n5) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_167,plain,
! [X0: $i] :
( green(X0,n6)
| red(X0,n6)
| ~ less_than(X0,n6) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_168,plain,
( green(n2,n6)
| red(n2,n6)
| ~ less_than(n2,n6) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] :
( less_than(X0,n6)
| ~ less_than(X1,n6)
| ~ less_than(X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_170,plain,
( green(n1,n3)
| red(n1,n3)
| ~ less_than(n1,n3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_172,plain,
! [X0: $i] :
( ~ green(n2,n3)
| ~ green(X0,n3)
| ~ green(X0,n2) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_173,plain,
! [X0: $i] :
( ~ green(n4,n5)
| ~ green(X0,n5)
| ~ green(X0,n4) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_174,plain,
( ~ green(n4,n5)
| ~ green(n2,n5)
| ~ green(n2,n4) ),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i] :
( ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X0,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_176,plain,
! [X0: $i] :
( ~ green(n5,n6)
| ~ green(X0,n6)
| ~ green(X0,n5) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_177,plain,
( ~ green(n5,n6)
| ~ green(n2,n6)
| ~ green(n2,n5) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] :
( ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X0,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X0,X1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_190,plain,
( ~ red(n3,n4)
| ~ red(n1,n4)
| ~ red(n1,n3) ),
inference(instantiation,[status(thm)],[c_154]) ).
tcf(c_192,plain,
( ~ red(n2,n3)
| ~ red(n1,n3)
| ~ red(n1,n2) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_194,plain,
( ~ red(n2,n4)
| ~ red(n1,n4)
| ~ red(n1,n2) ),
inference(instantiation,[status(thm)],[c_175]) ).
tcf(c_206,plain,
( green(n1,n2)
| red(n1,n2) ),
inference(superposition,[status(thm)],[c_51,c_57]) ).
tcf(c_207,plain,
( green(n2,n3)
| red(n2,n3) ),
inference(superposition,[status(thm)],[c_52,c_57]) ).
tcf(c_208,plain,
( green(n3,n4)
| red(n3,n4) ),
inference(superposition,[status(thm)],[c_53,c_57]) ).
tcf(c_209,plain,
( green(n4,n5)
| red(n4,n5) ),
inference(superposition,[status(thm)],[c_54,c_57]) ).
tcf(c_210,plain,
( green(n5,n6)
| red(n5,n6) ),
inference(superposition,[status(thm)],[c_55,c_57]) ).
tcf(c_239,plain,
( ~ red(n2,n5)
| ~ red(n1,n5)
| ~ red(n1,n2) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_240,plain,
( ~ red(n4,n5)
| ~ red(n3,n5)
| ~ red(n3,n4) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_246,plain,
( ~ red(n3,n5)
| ~ red(n1,n5)
| ~ red(n1,n3) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_247,plain,
( ~ red(n2,n6)
| ~ red(n1,n6)
| ~ red(n1,n2) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_248,plain,
( ~ red(n4,n6)
| ~ red(n3,n6)
| ~ red(n3,n4) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_249,plain,
! [X0: $i] :
( ~ red(n4,n6)
| ~ red(X0,n6)
| ~ red(X0,n4) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_250,plain,
( ~ red(n4,n6)
| ~ red(n2,n6)
| ~ red(n2,n4) ),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_254,plain,
( ~ red(n3,n6)
| ~ red(n1,n6)
| ~ red(n1,n3) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_255,plain,
( green(n1,n4)
| red(n1,n4)
| ~ less_than(n1,n4) ),
inference(instantiation,[status(thm)],[c_161]) ).
tcf(c_258,plain,
( green(n1,n5)
| red(n1,n5)
| ~ less_than(n1,n5) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_260,plain,
( green(n3,n5)
| red(n3,n5)
| ~ less_than(n3,n5) ),
inference(instantiation,[status(thm)],[c_164]) ).
tcf(c_261,plain,
( green(n1,n6)
| red(n1,n6)
| ~ less_than(n1,n6) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_263,plain,
( green(n4,n6)
| red(n4,n6)
| ~ less_than(n4,n6) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_264,plain,
( green(n3,n6)
| red(n3,n6)
| ~ less_than(n3,n6) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_304,plain,
! [X0: $i] :
( less_than(n1,X0)
| ~ less_than(n2,X0) ),
inference(superposition,[status(thm)],[c_51,c_56]) ).
tcf(c_305,plain,
! [X0: $i] :
( less_than(n2,X0)
| ~ less_than(n3,X0) ),
inference(superposition,[status(thm)],[c_52,c_56]) ).
tcf(c_346,plain,
( less_than(n1,n4)
| ~ less_than(n3,n4)
| ~ less_than(n1,n3) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_353,plain,
! [X0: $i] :
( ~ green(n3,n5)
| ~ green(X0,n5)
| ~ green(X0,n3) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_354,plain,
( ~ green(n3,n5)
| ~ green(n2,n5)
| ~ green(n2,n3) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_357,plain,
( ~ green(n5,n6)
| ~ green(n1,n6)
| ~ green(n1,n5) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_358,plain,
! [X0: $i] :
( ~ green(n4,n6)
| ~ green(X0,n6)
| ~ green(X0,n4) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_359,plain,
( ~ green(n4,n6)
| ~ green(n2,n6)
| ~ green(n2,n4) ),
inference(instantiation,[status(thm)],[c_358]) ).
tcf(c_360,plain,
( ~ green(n5,n6)
| ~ green(n4,n6)
| ~ green(n4,n5) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_361,plain,
! [X0: $i] :
( ~ green(n3,n6)
| ~ green(X0,n6)
| ~ green(X0,n3) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_362,plain,
( ~ green(n3,n6)
| ~ green(n2,n6)
| ~ green(n2,n3) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_363,plain,
( ~ green(n5,n6)
| ~ green(n3,n6)
| ~ green(n3,n5) ),
inference(instantiation,[status(thm)],[c_176]) ).
tcf(c_386,plain,
! [X0: $i] :
( ~ green(n3,n4)
| ~ green(X0,n4)
| ~ green(X0,n3) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_387,plain,
( ~ green(n3,n4)
| ~ green(n2,n4)
| ~ green(n2,n3) ),
inference(instantiation,[status(thm)],[c_386]) ).
tcf(c_388,plain,
( ~ green(n4,n5)
| ~ green(n3,n5)
| ~ green(n3,n4) ),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_406,plain,
( ~ green(n2,n3)
| ~ green(n1,n3)
| ~ green(n1,n2) ),
inference(instantiation,[status(thm)],[c_172]) ).
tcf(c_419,plain,
less_than(n1,n3),
inference(superposition,[status(thm)],[c_52,c_304]) ).
tcf(c_428,plain,
! [X0: $i] :
( less_than(n1,n6)
| ~ less_than(n1,X0)
| ~ less_than(X0,n6) ),
inference(instantiation,[status(thm)],[c_169]) ).
tcf(c_430,plain,
( less_than(n1,n6)
| ~ less_than(n2,n6)
| ~ less_than(n1,n2) ),
inference(instantiation,[status(thm)],[c_428]) ).
tcf(c_432,plain,
( green(n1,n3)
| red(n1,n3) ),
inference(superposition,[status(thm)],[c_419,c_57]) ).
tcf(c_444,plain,
( less_than(n4,n6)
| ~ less_than(n5,n6)
| ~ less_than(n4,n5) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_447,plain,
( less_than(n3,n6)
| ~ less_than(n5,n6)
| ~ less_than(n3,n5) ),
inference(instantiation,[status(thm)],[c_145]) ).
tcf(c_457,plain,
( ~ red(n3,n6)
| ~ red(n2,n6)
| ~ red(n2,n3) ),
inference(instantiation,[status(thm)],[c_180]) ).
tcf(c_458,plain,
( ~ red(n3,n5)
| ~ red(n2,n5)
| ~ red(n2,n3) ),
inference(instantiation,[status(thm)],[c_178]) ).
tcf(c_474,plain,
( less_than(n1,n5)
| ~ less_than(n4,n5)
| ~ less_than(n1,n4) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_488,plain,
less_than(n2,n4),
inference(superposition,[status(thm)],[c_53,c_305]) ).
tcf(c_495,plain,
( less_than(n3,n5)
| ~ less_than(n4,n5)
| ~ less_than(n3,n4) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_541,plain,
! [X0: $i,X1: $i] :
( ~ green(X1,n5)
| ~ green(X0,n5)
| ~ green(X0,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_545,plain,
( green(n2,n4)
| red(n2,n4) ),
inference(superposition,[status(thm)],[c_488,c_57]) ).
tcf(c_546,plain,
less_than(n1,n4),
inference(superposition,[status(thm)],[c_488,c_304]) ).
tcf(c_559,plain,
! [X0: $i,X1: $i] :
( ~ green(X1,n6)
| ~ green(X0,n6)
| ~ green(X0,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_579,plain,
( ~ red(n5,n6)
| ~ red(n1,n6)
| ~ red(n1,n5) ),
inference(instantiation,[status(thm)],[c_158]) ).
tcf(c_580,plain,
( ~ red(n5,n6)
| ~ red(n3,n6)
| ~ red(n3,n5) ),
inference(instantiation,[status(thm)],[c_158]) ).
tcf(c_582,plain,
( ~ red(n4,n6)
| ~ red(n1,n6)
| ~ red(n1,n4) ),
inference(instantiation,[status(thm)],[c_249]) ).
tcf(c_619,plain,
( ~ green(n3,n4)
| ~ green(n1,n4)
| ~ green(n1,n3) ),
inference(instantiation,[status(thm)],[c_386]) ).
tcf(c_620,plain,
( ~ green(n4,n5)
| ~ green(n1,n5)
| ~ green(n1,n4) ),
inference(instantiation,[status(thm)],[c_173]) ).
tcf(c_648,plain,
( ~ green(n4,n6)
| ~ green(n3,n6)
| ~ green(n3,n4) ),
inference(instantiation,[status(thm)],[c_559]) ).
tcf(c_653,plain,
( ~ green(n3,n6)
| ~ green(n1,n6)
| ~ green(n1,n3) ),
inference(instantiation,[status(thm)],[c_559]) ).
tcf(c_654,plain,
( ~ green(n4,n6)
| ~ green(n1,n6)
| ~ green(n1,n4) ),
inference(instantiation,[status(thm)],[c_559]) ).
tcf(c_657,plain,
( green(n1,n4)
| red(n1,n4) ),
inference(superposition,[status(thm)],[c_546,c_57]) ).
tcf(c_699,plain,
( ~ red(n5,n6)
| ~ red(n4,n6)
| ~ red(n4,n5) ),
inference(instantiation,[status(thm)],[c_158]) ).
tcf(c_704,plain,
( ~ green(n2,n6)
| ~ green(n1,n6)
| ~ green(n1,n2) ),
inference(instantiation,[status(thm)],[c_559]) ).
tcf(c_707,plain,
( ~ green(n2,n5)
| ~ green(n1,n5)
| ~ green(n1,n2) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_744,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_707,c_704,c_699,c_657,c_654,c_653,c_648,c_619,c_620,c_582,c_580,c_579,c_545,c_495,c_474,c_457,c_458,c_447,c_444,c_432,c_430,c_406,c_388,c_387,c_363,c_362,c_360,c_359,c_357,c_354,c_346,c_264,c_263,c_261,c_260,c_258,c_255,c_254,c_250,c_248,c_247,c_246,c_240,c_239,c_206,c_207,c_208,c_209,c_210,c_194,c_192,c_190,c_177,c_174,c_170,c_168,c_165,c_162,c_160,c_159,c_157,c_155,c_151,c_150,c_149,c_148,c_147,c_146,c_144,c_142,c_51,c_52,c_53,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA014+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.34 % Computer : n012.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Wed Sep 23 12:44:53 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 Running first-order theorem proving
% 0.11/0.38 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.39
% 0.11/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.39
% 0.11/0.39 % Detected problem language: tptp
% 0.11/0.41 % Proving...
% 0.95/1.15 % SZS status Started for theBenchmark.p
% 0.95/1.15 % SZS status Theorem for theBenchmark.p
% 0.95/1.15
% 0.95/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.95/1.15
% 0.95/1.15 % ------ iProver source info
% 0.95/1.15
% 0.95/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 0.95/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.95/1.15 % git: non_committed_changes: false
% 0.95/1.15
% 0.95/1.15 % ------ Parsing...
% 0.95/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.95/1.15 %
% 0.95/1.15
% 0.95/1.15 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.95/1.15
% 0.95/1.15 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.95/1.15 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.95/1.15 % ------ Proving...
% 0.95/1.15 % ------ Problem Properties
% 0.95/1.15
% 0.95/1.15 %
% 0.95/1.15 % clauses 9
% 0.95/1.15 % conjectures 0
% 0.95/1.15 % EPR 9
% 0.95/1.15 % Horn 8
% 0.95/1.15 % unary 5
% 0.95/1.15 % binary 0
% 0.95/1.15 % lits 17
% 0.95/1.15 % lits eq 0
% 0.95/1.15 % fd_pure 0
% 0.95/1.15 % fd_pseudo 0
% 0.95/1.15 % fd_cond 0
% 0.95/1.15 % fd_pseudo_cond 0
% 0.95/1.15 % AC symbols 0
% 0.95/1.15
% 0.95/1.15 % ------ Schedule EPR non Horn non eq is on
% 0.95/1.15
% 0.95/1.15 % ------ no conjectures: strip conj schedule
% 0.95/1.15
% 0.95/1.15 % ------ no equalities: superposition off
% 0.95/1.15
% 0.95/1.15 % ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 0.95/1.15
% 0.95/1.15
% 0.95/1.15 % ------
% 0.95/1.15 % Current options:
% 0.95/1.15 % ------
% 0.95/1.15
% 0.95/1.15
% 0.95/1.15 %
% 0.95/1.15
% 0.95/1.15 % ------ Proving...
% 0.95/1.15 %
% 0.95/1.15
% 0.95/1.15 % SZS status Theorem for theBenchmark.p
% 0.95/1.15
% 0.95/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.95/1.15
% 0.95/1.15
%------------------------------------------------------------------------------