%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KLE044-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -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 12:57:51 PM UTC 2026
% Result : Unsatisfiable 267.99s 34.53s
% Output : CNFRefutation 252.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 28
% Syntax : Number of formulae : 143 ( 143 unt; 10 def)
% Number of atoms : 143 ( 142 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 14 con; 0-4 aty)
% Number of variables : 133 ( 133 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq3(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] : addition(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A] : multiplication(one,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B] : ifeq2(leq(A,B),true,addition(A,B),B) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B] : ifeq3(addition(A,B),B,leq(A,B),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A] : leq(addition(one,multiplication(A,star(A))),star(A)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A] : leq(addition(one,multiplication(star(A),A)),star(A)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B,C] : ifeq(leq(addition(multiplication(A,B),C),B),true,leq(multiplication(star(A),C),B),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [A,B,C] : ifeq(leq(addition(multiplication(A,B),C),A),true,leq(multiplication(C,star(B)),A),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(true,true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1,X2] : ifeq3(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f25,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f26,plain,
! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f28,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f30,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f32,plain,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f36,plain,
! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f37,plain,
! [X0,X1] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f38,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)) = true,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f39,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)) = true,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f40,plain,
! [X0,X1,X2] : ifeq(leq(addition(multiplication(X0,X1),X2),X1),true,leq(multiplication(star(X0),X2),X1),true) = true,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f41,plain,
! [X0,X1,X2] : ifeq(leq(addition(multiplication(X0,X1),X2),X0),true,leq(multiplication(X2,star(X1)),X0),true) = true,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f42,plain,
tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(true,true),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f43,definition,
sF3_fnc = addition(one,sK2_goals_X0),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f44,definition,
sF2_fnc = star(sF3_fnc),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f45,definition,
sF4_fnc = star(sK2_goals_X0),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f46,definition,
sF1_fnc = leq(sF2_fnc,sF4_fnc),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f47,definition,
sF6_fnc = star(sK1_goals_X0),
introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition]) ).
fof(f48,definition,
sF8_fnc = addition(one,sK1_goals_X0),
introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition]) ).
fof(f49,definition,
sF7_fnc = star(sF8_fnc),
introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition]) ).
fof(f50,definition,
sF5_fnc = leq(sF6_fnc,sF7_fnc),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f51,definition,
sF0_fnc = tuple(sF1_fnc,sF5_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f52,definition,
sF9_fnc = tuple(true,true),
introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition]) ).
fof(f53,plain,
sF0_fnc != sF9_fnc,
inference(definition_folding,[],[f42,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43]) ).
fof(f105,plain,
! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f28,f26]) ).
fof(f119,plain,
addition(one,sF8_fnc) = addition(one,sK1_goals_X0),
inference(paramodulation,[status(thm)],[f48,f105]) ).
fof(f124,plain,
! [X0,X1] : addition(X0,addition(X1,X0)) = addition(X0,X1),
inference(paramodulation,[status(thm)],[f25,f105]) ).
fof(f136,plain,
addition(one,sF8_fnc) = sF8_fnc,
inference(forward_demodulation,[status(thm)],[f48,f119]) ).
fof(f150,plain,
addition(sK2_goals_X0,sF3_fnc) = addition(sK2_goals_X0,one),
inference(paramodulation,[status(thm)],[f43,f124]) ).
fof(f151,plain,
addition(sK1_goals_X0,sF8_fnc) = addition(sK1_goals_X0,one),
inference(paramodulation,[status(thm)],[f48,f124]) ).
fof(f206,plain,
! [X0,X1] : ifeq(leq(addition(multiplication(sK1_goals_X0,X0),X1),X0),true,leq(multiplication(sF6_fnc,X1),X0),true) = true,
inference(paramodulation,[status(thm)],[f47,f40]) ).
fof(f245,plain,
! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X1,X0),X1) = X1,
inference(paramodulation,[status(thm)],[f25,f36]) ).
fof(f259,plain,
! [X0,X1] : ifeq3(addition(X0,X1),addition(X0,X1),leq(X0,addition(X0,X1)),true) = true,
inference(paramodulation,[status(thm)],[f105,f37]) ).
fof(f263,plain,
! [X0] : ifeq3(X0,X0,leq(X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f28,f37]) ).
fof(f267,plain,
! [X0] : leq(X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f22,f263]) ).
fof(f270,plain,
! [X0,X1] : leq(X0,addition(X0,X1)) = true,
inference(forward_demodulation,[status(thm)],[f22,f259]) ).
fof(f305,plain,
! [X0,X1] : leq(X0,addition(X1,X0)) = true,
inference(paramodulation,[status(thm)],[f25,f270]) ).
fof(f325,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(paramodulation,[status(thm)],[f30,f32]) ).
fof(f328,plain,
! [X0,X1,X2] : ifeq3(multiplication(X0,addition(X1,X2)),multiplication(X0,X2),leq(multiplication(X0,X1),multiplication(X0,X2)),true) = true,
inference(paramodulation,[status(thm)],[f32,f37]) ).
fof(f367,plain,
leq(sK2_goals_X0,sF3_fnc) = true,
inference(paramodulation,[status(thm)],[f43,f305]) ).
fof(f368,plain,
leq(sK1_goals_X0,sF8_fnc) = true,
inference(paramodulation,[status(thm)],[f48,f305]) ).
fof(f369,plain,
! [X0,X1,X2] : leq(X0,addition(X1,addition(X2,X0))) = true,
inference(paramodulation,[status(thm)],[f26,f305]) ).
fof(f390,plain,
! [X0,X1,X2] : ifeq(leq(addition(X0,multiplication(X1,X2)),X1),true,leq(multiplication(X0,star(X2)),X1),true) = true,
inference(paramodulation,[status(thm)],[f25,f41]) ).
fof(f419,plain,
ifeq2(true,true,addition(sK1_goals_X0,sF8_fnc),sF8_fnc) = sF8_fnc,
inference(paramodulation,[status(thm)],[f368,f36]) ).
fof(f420,plain,
addition(sK1_goals_X0,sF8_fnc) = sF8_fnc,
inference(forward_demodulation,[status(thm)],[f23,f419]) ).
fof(f421,plain,
addition(sK1_goals_X0,one) = sF8_fnc,
inference(forward_demodulation,[status(thm)],[f151,f420]) ).
fof(f424,plain,
ifeq2(true,true,addition(sK2_goals_X0,sF3_fnc),sF3_fnc) = sF3_fnc,
inference(paramodulation,[status(thm)],[f367,f36]) ).
fof(f426,plain,
addition(sK2_goals_X0,sF3_fnc) = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f23,f424]) ).
fof(f427,plain,
addition(sK2_goals_X0,one) = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f150,f426]) ).
fof(f436,plain,
addition(sK1_goals_X0,sF8_fnc) = addition(sK1_goals_X0,one),
inference(paramodulation,[status(thm)],[f421,f105]) ).
fof(f440,plain,
addition(sK1_goals_X0,sF8_fnc) = sF8_fnc,
inference(forward_demodulation,[status(thm)],[f421,f436]) ).
fof(f482,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
inference(paramodulation,[status(thm)],[f31,f33]) ).
fof(f487,plain,
! [X0,X1] : multiplication(addition(X0,one),X1) = addition(multiplication(X0,X1),X1),
inference(paramodulation,[status(thm)],[f31,f33]) ).
fof(f628,plain,
leq(addition(one,multiplication(sF6_fnc,sK1_goals_X0)),star(sK1_goals_X0)) = true,
inference(paramodulation,[status(thm)],[f47,f39]) ).
fof(f635,plain,
! [X0] : ifeq2(true,true,addition(addition(one,multiplication(star(X0),X0)),star(X0)),star(X0)) = star(X0),
inference(paramodulation,[status(thm)],[f39,f36]) ).
fof(f636,plain,
leq(addition(one,multiplication(sF6_fnc,sK1_goals_X0)),sF6_fnc) = true,
inference(forward_demodulation,[status(thm)],[f47,f628]) ).
fof(f638,plain,
! [X0] : addition(addition(one,multiplication(star(X0),X0)),star(X0)) = star(X0),
inference(forward_demodulation,[status(thm)],[f23,f635]) ).
fof(f639,plain,
! [X0] : addition(one,addition(multiplication(star(X0),X0),star(X0))) = star(X0),
inference(forward_demodulation,[status(thm)],[f26,f638]) ).
fof(f675,plain,
! [X0] : ifeq2(true,true,addition(addition(one,multiplication(X0,star(X0))),star(X0)),star(X0)) = star(X0),
inference(paramodulation,[status(thm)],[f38,f36]) ).
fof(f676,plain,
! [X0] : addition(addition(one,multiplication(X0,star(X0))),star(X0)) = star(X0),
inference(forward_demodulation,[status(thm)],[f23,f675]) ).
fof(f677,plain,
! [X0] : addition(one,addition(multiplication(X0,star(X0)),star(X0))) = star(X0),
inference(forward_demodulation,[status(thm)],[f26,f676]) ).
fof(f2217,plain,
! [X0,X1] : ifeq(leq(multiplication(addition(sK1_goals_X0,X0),X1),X1),true,leq(multiplication(sF6_fnc,multiplication(X0,X1)),X1),true) = true,
inference(paramodulation,[status(thm)],[f33,f206]) ).
fof(f6221,plain,
! [X0] : ifeq3(multiplication(X0,sF8_fnc),multiplication(X0,sF8_fnc),leq(multiplication(X0,one),multiplication(X0,sF8_fnc)),true) = true,
inference(paramodulation,[status(thm)],[f136,f328]) ).
fof(f6325,plain,
! [X0] : leq(multiplication(X0,one),multiplication(X0,sF8_fnc)) = true,
inference(forward_demodulation,[status(thm)],[f22,f6221]) ).
fof(f6326,plain,
! [X0] : leq(X0,multiplication(X0,sF8_fnc)) = true,
inference(forward_demodulation,[status(thm)],[f30,f6325]) ).
fof(f6414,plain,
! [X0] : ifeq2(true,true,addition(multiplication(X0,sF8_fnc),X0),multiplication(X0,sF8_fnc)) = multiplication(X0,sF8_fnc),
inference(paramodulation,[status(thm)],[f6326,f245]) ).
fof(f6424,plain,
! [X0] : addition(multiplication(X0,sF8_fnc),X0) = multiplication(X0,sF8_fnc),
inference(forward_demodulation,[status(thm)],[f23,f6414]) ).
fof(f7705,plain,
! [X0] : multiplication(X0,sF8_fnc) = addition(multiplication(X0,sK1_goals_X0),X0),
inference(paramodulation,[status(thm)],[f421,f325]) ).
fof(f7706,plain,
! [X0] : multiplication(X0,sF3_fnc) = addition(multiplication(X0,sK2_goals_X0),X0),
inference(paramodulation,[status(thm)],[f427,f325]) ).
fof(f7821,plain,
! [X0,X1] : leq(X0,multiplication(X0,addition(X1,one))) = true,
inference(paramodulation,[status(thm)],[f325,f305]) ).
fof(f13205,plain,
! [X0] : multiplication(multiplication(one,sF8_fnc),X0) = addition(multiplication(multiplication(one,sF8_fnc),X0),X0),
inference(paramodulation,[status(thm)],[f6424,f487]) ).
fof(f13429,plain,
! [X0] : multiplication(one,multiplication(sF8_fnc,X0)) = addition(multiplication(multiplication(one,sF8_fnc),X0),X0),
inference(forward_demodulation,[status(thm)],[f29,f13205]) ).
fof(f13430,plain,
! [X0] : multiplication(sF8_fnc,X0) = addition(multiplication(multiplication(one,sF8_fnc),X0),X0),
inference(forward_demodulation,[status(thm)],[f31,f13429]) ).
fof(f13431,plain,
! [X0] : multiplication(sF8_fnc,X0) = addition(multiplication(one,multiplication(sF8_fnc,X0)),X0),
inference(forward_demodulation,[status(thm)],[f29,f13430]) ).
fof(f13432,plain,
! [X0] : multiplication(sF8_fnc,X0) = addition(multiplication(sF8_fnc,X0),X0),
inference(forward_demodulation,[status(thm)],[f31,f13431]) ).
fof(f16148,plain,
ifeq2(true,true,addition(addition(one,multiplication(sF6_fnc,sK1_goals_X0)),sF6_fnc),sF6_fnc) = sF6_fnc,
inference(paramodulation,[status(thm)],[f636,f36]) ).
fof(f16151,plain,
addition(addition(one,multiplication(sF6_fnc,sK1_goals_X0)),sF6_fnc) = sF6_fnc,
inference(forward_demodulation,[status(thm)],[f23,f16148]) ).
fof(f16152,plain,
addition(one,addition(multiplication(sF6_fnc,sK1_goals_X0),sF6_fnc)) = sF6_fnc,
inference(forward_demodulation,[status(thm)],[f26,f16151]) ).
fof(f16153,plain,
addition(one,multiplication(sF6_fnc,sF8_fnc)) = sF6_fnc,
inference(forward_demodulation,[status(thm)],[f7705,f16152]) ).
fof(f16210,plain,
addition(one,sF6_fnc) = addition(one,multiplication(sF6_fnc,sF8_fnc)),
inference(paramodulation,[status(thm)],[f16153,f105]) ).
fof(f16238,plain,
addition(one,sF6_fnc) = sF6_fnc,
inference(forward_demodulation,[status(thm)],[f16153,f16210]) ).
fof(f16264,plain,
! [X0] : multiplication(sF6_fnc,X0) = addition(X0,multiplication(sF6_fnc,X0)),
inference(paramodulation,[status(thm)],[f16238,f482]) ).
fof(f16523,plain,
addition(one,addition(multiplication(sF4_fnc,sK2_goals_X0),star(sK2_goals_X0))) = star(sK2_goals_X0),
inference(paramodulation,[status(thm)],[f45,f639]) ).
fof(f16578,plain,
! [X0] : leq(one,star(X0)) = true,
inference(paramodulation,[status(thm)],[f639,f270]) ).
fof(f16596,plain,
addition(one,addition(multiplication(sF4_fnc,sK2_goals_X0),sF4_fnc)) = star(sK2_goals_X0),
inference(forward_demodulation,[status(thm)],[f45,f16523]) ).
fof(f16597,plain,
addition(one,multiplication(sF4_fnc,sF3_fnc)) = star(sK2_goals_X0),
inference(forward_demodulation,[status(thm)],[f7706,f16596]) ).
fof(f16598,plain,
addition(one,multiplication(sF4_fnc,sF3_fnc)) = sF4_fnc,
inference(forward_demodulation,[status(thm)],[f45,f16597]) ).
fof(f16666,plain,
leq(one,sF7_fnc) = true,
inference(paramodulation,[status(thm)],[f49,f16578]) ).
fof(f16720,plain,
ifeq2(true,true,addition(sF7_fnc,one),sF7_fnc) = sF7_fnc,
inference(paramodulation,[status(thm)],[f16666,f245]) ).
fof(f16723,plain,
addition(sF7_fnc,one) = sF7_fnc,
inference(forward_demodulation,[status(thm)],[f23,f16720]) ).
fof(f16884,plain,
! [X0] : leq(X0,multiplication(X0,sF7_fnc)) = true,
inference(paramodulation,[status(thm)],[f16723,f7821]) ).
fof(f16925,plain,
! [X0] : leq(one,addition(X0,sF7_fnc)) = true,
inference(paramodulation,[status(thm)],[f16723,f369]) ).
fof(f17876,plain,
addition(one,addition(multiplication(sF8_fnc,star(sF8_fnc)),sF7_fnc)) = star(sF8_fnc),
inference(paramodulation,[status(thm)],[f49,f677]) ).
fof(f17941,plain,
addition(one,addition(multiplication(sF8_fnc,sF7_fnc),sF7_fnc)) = star(sF8_fnc),
inference(forward_demodulation,[status(thm)],[f49,f17876]) ).
fof(f17942,plain,
addition(one,multiplication(sF8_fnc,sF7_fnc)) = star(sF8_fnc),
inference(forward_demodulation,[status(thm)],[f13432,f17941]) ).
fof(f17943,plain,
addition(one,multiplication(sF8_fnc,sF7_fnc)) = sF7_fnc,
inference(forward_demodulation,[status(thm)],[f49,f17942]) ).
fof(f18551,plain,
leq(one,multiplication(sF8_fnc,sF7_fnc)) = true,
inference(paramodulation,[status(thm)],[f13432,f16925]) ).
fof(f19818,plain,
ifeq(leq(sF4_fnc,sF4_fnc),true,leq(multiplication(one,star(sF3_fnc)),sF4_fnc),true) = true,
inference(paramodulation,[status(thm)],[f16598,f390]) ).
fof(f19864,plain,
ifeq(true,true,leq(multiplication(one,star(sF3_fnc)),sF4_fnc),true) = true,
inference(forward_demodulation,[status(thm)],[f267,f19818]) ).
fof(f19865,plain,
leq(multiplication(one,star(sF3_fnc)),sF4_fnc) = true,
inference(forward_demodulation,[status(thm)],[f24,f19864]) ).
fof(f19866,plain,
leq(star(sF3_fnc),sF4_fnc) = true,
inference(forward_demodulation,[status(thm)],[f31,f19865]) ).
fof(f19867,plain,
leq(sF2_fnc,sF4_fnc) = true,
inference(forward_demodulation,[status(thm)],[f44,f19866]) ).
fof(f19868,plain,
sF1_fnc = true,
inference(forward_demodulation,[status(thm)],[f46,f19867]) ).
fof(f19892,plain,
sF0_fnc = tuple(true,sF5_fnc),
inference(backward_demodulation,[status(thm)],[f19868,f51]) ).
fof(f41474,plain,
ifeq2(true,true,addition(one,multiplication(sF8_fnc,sF7_fnc)),multiplication(sF8_fnc,sF7_fnc)) = multiplication(sF8_fnc,sF7_fnc),
inference(paramodulation,[status(thm)],[f18551,f36]) ).
fof(f41479,plain,
addition(one,multiplication(sF8_fnc,sF7_fnc)) = multiplication(sF8_fnc,sF7_fnc),
inference(forward_demodulation,[status(thm)],[f23,f41474]) ).
fof(f41480,plain,
sF7_fnc = multiplication(sF8_fnc,sF7_fnc),
inference(forward_demodulation,[status(thm)],[f17943,f41479]) ).
fof(f97599,plain,
ifeq(leq(multiplication(addition(sK1_goals_X0,sF8_fnc),sF7_fnc),sF7_fnc),true,leq(multiplication(sF6_fnc,sF7_fnc),sF7_fnc),true) = true,
inference(paramodulation,[status(thm)],[f41480,f2217]) ).
fof(f97638,plain,
ifeq(leq(multiplication(sF8_fnc,sF7_fnc),sF7_fnc),true,leq(multiplication(sF6_fnc,sF7_fnc),sF7_fnc),true) = true,
inference(forward_demodulation,[status(thm)],[f440,f97599]) ).
fof(f97639,plain,
ifeq(leq(sF7_fnc,sF7_fnc),true,leq(multiplication(sF6_fnc,sF7_fnc),sF7_fnc),true) = true,
inference(forward_demodulation,[status(thm)],[f41480,f97638]) ).
fof(f97640,plain,
ifeq(true,true,leq(multiplication(sF6_fnc,sF7_fnc),sF7_fnc),true) = true,
inference(forward_demodulation,[status(thm)],[f267,f97639]) ).
fof(f97641,plain,
leq(multiplication(sF6_fnc,sF7_fnc),sF7_fnc) = true,
inference(forward_demodulation,[status(thm)],[f24,f97640]) ).
fof(f97703,plain,
ifeq2(true,true,addition(sF7_fnc,multiplication(sF6_fnc,sF7_fnc)),sF7_fnc) = sF7_fnc,
inference(paramodulation,[status(thm)],[f97641,f245]) ).
fof(f97716,plain,
addition(sF7_fnc,multiplication(sF6_fnc,sF7_fnc)) = sF7_fnc,
inference(forward_demodulation,[status(thm)],[f23,f97703]) ).
fof(f97717,plain,
multiplication(sF6_fnc,sF7_fnc) = sF7_fnc,
inference(forward_demodulation,[status(thm)],[f16264,f97716]) ).
fof(f97740,plain,
leq(sF6_fnc,sF7_fnc) = true,
inference(paramodulation,[status(thm)],[f97717,f16884]) ).
fof(f97834,plain,
sF5_fnc = true,
inference(forward_demodulation,[status(thm)],[f50,f97740]) ).
fof(f98016,plain,
sF0_fnc = tuple(true,true),
inference(backward_demodulation,[status(thm)],[f97834,f19892]) ).
fof(f98018,plain,
sF0_fnc = sF9_fnc,
inference(forward_demodulation,[status(thm)],[f52,f98016]) ).
fof(f98019,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f98018,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KLE044-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n003.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 20 22:42:15 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 267.99/34.53 % Refutation found
% 267.99/34.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 267.99/34.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 162.85/35.86 % Elapsed time: 35.217495 seconds
% 162.85/35.86 % CPU time: 262.477672 seconds
% 162.85/35.86 % Total memory used: 1.017 GB
% 162.85/35.86 % Net memory used: 972.600 MB
%------------------------------------------------------------------------------