↑ Up

Drodi---4.1.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : KLE147-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:58:03 PM UTC 2026

% Result   : Unsatisfiable 242.16s 30.98s
% Output   : CNFRefutation 136.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  122 ( 122 unt;  18 def)
%            Number of atoms       :  122 ( 121 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    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  24 con; 0-4 aty)
%            Number of variables   :   96 (  96   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : ifeq3(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] : ifeq2(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B,C] : ifeq(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B] : addition(A,B) = addition(B,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A] : addition(A,A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [A] : multiplication(one,A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [A] : addition(one,multiplication(star(A),A)) = star(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [A,C,B] : ifeq(leq(addition(multiplication(A,C),B),C),true,leq(multiplication(star(A),B),C),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [A,B] : ifeq2(leq(A,B),true,addition(A,B),B) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [A,B] : ifeq3(addition(A,B),B,leq(A,B),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    tuple(leq(multiplication(star(sK1_goals_X1),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),leq(strong_iteration(multiplication(star(sK4_goals_X0),sK3_goals_X1)),multiplication(star(sK3_goals_X1),strong_iteration(multiplication(star(sK4_goals_X0),sK3_goals_X1))))) != tuple(true,true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,plain,
    ! [X0,X1,X2] : ifeq3(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f25,plain,
    ! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f26,plain,
    ! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(thm)],[f3]) ).

fof(f27,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f28,plain,
    ! [X0,X1,X2] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f30,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f33,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f35,plain,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f38,plain,
    ! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f39,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)],[f16]) ).

fof(f41,plain,
    ! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f44,plain,
    ! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f45,plain,
    ! [X0,X1] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f46,plain,
    tuple(leq(multiplication(star(sK1_goals_X1),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),leq(strong_iteration(multiplication(star(sK4_goals_X0),sK3_goals_X1)),multiplication(star(sK3_goals_X1),strong_iteration(multiplication(star(sK4_goals_X0),sK3_goals_X1))))) != tuple(true,true),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f47,definition,
    sF3_fnc = star(sK1_goals_X1),
    introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).

fof(f48,definition,
    sF6_fnc = star(sK2_goals_X0),
    introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition]) ).

fof(f49,definition,
    sF5_fnc = multiplication(sF6_fnc,sK1_goals_X1),
    introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).

fof(f50,definition,
    sF4_fnc = strong_iteration(sF5_fnc),
    introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).

fof(f51,definition,
    sF2_fnc = multiplication(sF3_fnc,sF4_fnc),
    introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).

fof(f52,definition,
    sF8_fnc = multiplication(sF6_fnc,sK1_goals_X1),
    introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition]) ).

fof(f53,definition,
    sF7_fnc = strong_iteration(sF8_fnc),
    introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition]) ).

fof(f54,definition,
    sF1_fnc = leq(sF2_fnc,sF7_fnc),
    introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).

fof(f55,definition,
    sF12_fnc = star(sK4_goals_X0),
    introduced(definition,[new_symbols(definition,[sF12_fnc])],[function_definition]) ).

fof(f56,definition,
    sF11_fnc = multiplication(sF12_fnc,sK3_goals_X1),
    introduced(definition,[new_symbols(definition,[sF11_fnc])],[function_definition]) ).

fof(f57,definition,
    sF10_fnc = strong_iteration(sF11_fnc),
    introduced(definition,[new_symbols(definition,[sF10_fnc])],[function_definition]) ).

fof(f58,definition,
    sF14_fnc = star(sK3_goals_X1),
    introduced(definition,[new_symbols(definition,[sF14_fnc])],[function_definition]) ).

fof(f59,definition,
    sF16_fnc = multiplication(sF12_fnc,sK3_goals_X1),
    introduced(definition,[new_symbols(definition,[sF16_fnc])],[function_definition]) ).

fof(f60,definition,
    sF15_fnc = strong_iteration(sF16_fnc),
    introduced(definition,[new_symbols(definition,[sF15_fnc])],[function_definition]) ).

fof(f61,definition,
    sF13_fnc = multiplication(sF14_fnc,sF15_fnc),
    introduced(definition,[new_symbols(definition,[sF13_fnc])],[function_definition]) ).

fof(f62,definition,
    sF9_fnc = leq(sF10_fnc,sF13_fnc),
    introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition]) ).

fof(f63,definition,
    sF0_fnc = tuple(sF1_fnc,sF9_fnc),
    introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).

fof(f64,definition,
    sF17_fnc = tuple(true,true),
    introduced(definition,[new_symbols(definition,[sF17_fnc])],[function_definition]) ).

fof(f65,plain,
    sF0_fnc != sF17_fnc,
    inference(definition_folding,[],[f46,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47]) ).

fof(f99,plain,
    ! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X1,X0),X1) = X1,
    inference(paramodulation,[status(thm)],[f27,f44]) ).

fof(f116,plain,
    ! [X0,X1] : ifeq(leq(addition(multiplication(sK1_goals_X1,X0),X1),X0),true,leq(multiplication(sF3_fnc,X1),X0),true) = true,
    inference(paramodulation,[status(thm)],[f47,f39]) ).

fof(f123,plain,
    sF10_fnc = strong_iteration(sF16_fnc),
    inference(backward_demodulation,[status(thm)],[f124,f57]) ).

fof(f124,plain,
    sF11_fnc = sF16_fnc,
    inference(forward_demodulation,[status(thm)],[f59,f56]) ).

fof(f125,plain,
    sF10_fnc = sF15_fnc,
    inference(forward_demodulation,[status(thm)],[f60,f123]) ).

fof(f126,plain,
    sF9_fnc = leq(sF15_fnc,sF13_fnc),
    inference(backward_demodulation,[status(thm)],[f125,f62]) ).

fof(f129,plain,
    sF8_fnc = multiplication(sF6_fnc,sK1_goals_X1),
    inference(backward_demodulation,[status(thm)],[f131,f49]) ).

fof(f130,plain,
    sF4_fnc = strong_iteration(sF8_fnc),
    inference(backward_demodulation,[status(thm)],[f131,f50]) ).

fof(f131,plain,
    sF8_fnc = sF5_fnc,
    inference(forward_demodulation,[status(thm)],[f49,f52]) ).

fof(f132,plain,
    sF4_fnc = sF7_fnc,
    inference(forward_demodulation,[status(thm)],[f53,f130]) ).

fof(f133,plain,
    sF2_fnc = multiplication(sF3_fnc,sF7_fnc),
    inference(backward_demodulation,[status(thm)],[f132,f51]) ).

fof(f170,plain,
    addition(one,multiplication(sF6_fnc,sK2_goals_X0)) = star(sK2_goals_X0),
    inference(paramodulation,[status(thm)],[f48,f38]) ).

fof(f173,plain,
    addition(one,multiplication(sF14_fnc,sK3_goals_X1)) = star(sK3_goals_X1),
    inference(paramodulation,[status(thm)],[f58,f38]) ).

fof(f175,plain,
    addition(one,multiplication(sF6_fnc,sK2_goals_X0)) = sF6_fnc,
    inference(forward_demodulation,[status(thm)],[f48,f170]) ).

fof(f176,plain,
    addition(one,multiplication(sF14_fnc,sK3_goals_X1)) = sF14_fnc,
    inference(forward_demodulation,[status(thm)],[f58,f173]) ).

fof(f189,plain,
    ! [X0,X1] : multiplication(addition(one,X0),X1) = addition(X1,multiplication(X0,X1)),
    inference(paramodulation,[status(thm)],[f33,f35]) ).

fof(f197,plain,
    ! [X0,X1] : multiplication(addition(X0,one),X1) = addition(multiplication(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f33,f35]) ).

fof(f224,plain,
    strong_iteration(sF8_fnc) = addition(multiplication(sF8_fnc,sF7_fnc),one),
    inference(paramodulation,[status(thm)],[f53,f41]) ).

fof(f230,plain,
    sF7_fnc = addition(multiplication(sF8_fnc,sF7_fnc),one),
    inference(forward_demodulation,[status(thm)],[f53,f224]) ).

fof(f321,plain,
    ! [X0] : ifeq3(X0,X0,leq(X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f30,f45]) ).

fof(f325,plain,
    ! [X0] : leq(X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f24,f321]) ).

fof(f390,plain,
    ! [X0,X1] : addition(one,addition(multiplication(star(X0),X0),X1)) = addition(star(X0),X1),
    inference(paramodulation,[status(thm)],[f38,f28]) ).

fof(f395,plain,
    ! [X0,X1] : addition(X0,addition(X0,X1)) = addition(X0,X1),
    inference(paramodulation,[status(thm)],[f30,f28]) ).

fof(f412,plain,
    addition(multiplication(sF8_fnc,sF7_fnc),sF7_fnc) = addition(multiplication(sF8_fnc,sF7_fnc),one),
    inference(paramodulation,[status(thm)],[f230,f395]) ).

fof(f420,plain,
    addition(one,sF14_fnc) = addition(one,multiplication(sF14_fnc,sK3_goals_X1)),
    inference(paramodulation,[status(thm)],[f176,f395]) ).

fof(f421,plain,
    addition(one,sF6_fnc) = addition(one,multiplication(sF6_fnc,sK2_goals_X0)),
    inference(paramodulation,[status(thm)],[f175,f395]) ).

fof(f422,plain,
    ! [X0] : addition(one,star(X0)) = addition(one,multiplication(star(X0),X0)),
    inference(paramodulation,[status(thm)],[f38,f395]) ).

fof(f435,plain,
    ! [X0,X1] : ifeq3(addition(X0,X1),addition(X0,X1),leq(X0,addition(X0,X1)),true) = true,
    inference(paramodulation,[status(thm)],[f395,f45]) ).

fof(f438,plain,
    ! [X0,X1] : leq(X0,addition(X0,X1)) = true,
    inference(forward_demodulation,[status(thm)],[f24,f435]) ).

fof(f439,plain,
    ! [X0] : addition(one,star(X0)) = star(X0),
    inference(forward_demodulation,[status(thm)],[f38,f422]) ).

fof(f442,plain,
    addition(multiplication(sF8_fnc,sF7_fnc),sF7_fnc) = sF7_fnc,
    inference(forward_demodulation,[status(thm)],[f230,f412]) ).

fof(f447,plain,
    addition(one,sF6_fnc) = sF6_fnc,
    inference(forward_demodulation,[status(thm)],[f175,f421]) ).

fof(f457,plain,
    addition(one,sF14_fnc) = sF14_fnc,
    inference(forward_demodulation,[status(thm)],[f176,f420]) ).

fof(f598,plain,
    ! [X0] : leq(one,star(X0)) = true,
    inference(paramodulation,[status(thm)],[f38,f438]) ).

fof(f603,plain,
    ! [X0,X1] : leq(X0,addition(X1,X0)) = true,
    inference(paramodulation,[status(thm)],[f27,f438]) ).

fof(f737,plain,
    ! [X0] : ifeq2(true,true,addition(star(X0),one),star(X0)) = star(X0),
    inference(paramodulation,[status(thm)],[f598,f99]) ).

fof(f740,plain,
    ! [X0] : addition(star(X0),one) = star(X0),
    inference(forward_demodulation,[status(thm)],[f25,f737]) ).

fof(f749,plain,
    ! [X0,X1,X2] : leq(X0,addition(X1,addition(X2,X0))) = true,
    inference(paramodulation,[status(thm)],[f28,f603]) ).

fof(f1347,plain,
    ! [X0,X1] : ifeq(leq(multiplication(addition(sK1_goals_X1,X0),X1),X1),true,leq(multiplication(sF3_fnc,multiplication(X0,X1)),X1),true) = true,
    inference(paramodulation,[status(thm)],[f35,f116]) ).

fof(f2274,plain,
    ifeq(leq(sF7_fnc,sF7_fnc),true,leq(multiplication(star(sF8_fnc),sF7_fnc),sF7_fnc),true) = true,
    inference(paramodulation,[status(thm)],[f442,f39]) ).

fof(f2290,plain,
    ifeq(true,true,leq(multiplication(star(sF8_fnc),sF7_fnc),sF7_fnc),true) = true,
    inference(forward_demodulation,[status(thm)],[f325,f2274]) ).

fof(f2291,plain,
    leq(multiplication(star(sF8_fnc),sF7_fnc),sF7_fnc) = true,
    inference(forward_demodulation,[status(thm)],[f26,f2290]) ).

fof(f2458,plain,
    ! [X0,X1,X2] : leq(X0,addition(addition(X1,X0),X2)) = true,
    inference(paramodulation,[status(thm)],[f27,f749]) ).

fof(f2529,plain,
    ! [X0,X1,X2] : leq(X0,addition(X1,addition(X0,X2))) = true,
    inference(forward_demodulation,[status(thm)],[f28,f2458]) ).

fof(f5754,plain,
    multiplication(addition(one,sF6_fnc),sK1_goals_X1) = addition(sK1_goals_X1,sF8_fnc),
    inference(paramodulation,[status(thm)],[f129,f189]) ).

fof(f5756,plain,
    multiplication(addition(one,sF14_fnc),sF15_fnc) = addition(sF15_fnc,sF13_fnc),
    inference(paramodulation,[status(thm)],[f61,f189]) ).

fof(f5828,plain,
    multiplication(sF6_fnc,sK1_goals_X1) = addition(sK1_goals_X1,sF8_fnc),
    inference(forward_demodulation,[status(thm)],[f447,f5754]) ).

fof(f5829,plain,
    sF8_fnc = addition(sK1_goals_X1,sF8_fnc),
    inference(forward_demodulation,[status(thm)],[f129,f5828]) ).

fof(f5861,plain,
    multiplication(sF14_fnc,sF15_fnc) = addition(sF15_fnc,sF13_fnc),
    inference(forward_demodulation,[status(thm)],[f457,f5756]) ).

fof(f5862,plain,
    sF13_fnc = addition(sF15_fnc,sF13_fnc),
    inference(forward_demodulation,[status(thm)],[f61,f5861]) ).

fof(f5884,plain,
    ! [X0] : leq(sK1_goals_X1,addition(X0,sF8_fnc)) = true,
    inference(paramodulation,[status(thm)],[f5829,f2529]) ).

fof(f5918,plain,
    ifeq3(sF13_fnc,sF13_fnc,leq(sF15_fnc,sF13_fnc),true) = true,
    inference(paramodulation,[status(thm)],[f5862,f45]) ).

fof(f5921,plain,
    leq(sF15_fnc,sF13_fnc) = true,
    inference(forward_demodulation,[status(thm)],[f24,f5918]) ).

fof(f5922,plain,
    sF9_fnc = true,
    inference(forward_demodulation,[status(thm)],[f126,f5921]) ).

fof(f5927,plain,
    sF0_fnc = tuple(sF1_fnc,true),
    inference(backward_demodulation,[status(thm)],[f5922,f63]) ).

fof(f29122,plain,
    ! [X0] : addition(one,multiplication(addition(star(X0),one),X0)) = addition(star(X0),X0),
    inference(paramodulation,[status(thm)],[f197,f390]) ).

fof(f29190,plain,
    ! [X0] : addition(one,multiplication(star(X0),X0)) = addition(star(X0),X0),
    inference(forward_demodulation,[status(thm)],[f740,f29122]) ).

fof(f29191,plain,
    ! [X0] : star(X0) = addition(star(X0),X0),
    inference(forward_demodulation,[status(thm)],[f38,f29190]) ).

fof(f29274,plain,
    leq(sK1_goals_X1,star(sF8_fnc)) = true,
    inference(paramodulation,[status(thm)],[f29191,f5884]) ).

fof(f37050,plain,
    ifeq2(true,true,addition(sK1_goals_X1,star(sF8_fnc)),star(sF8_fnc)) = star(sF8_fnc),
    inference(paramodulation,[status(thm)],[f29274,f44]) ).

fof(f37053,plain,
    addition(sK1_goals_X1,star(sF8_fnc)) = star(sF8_fnc),
    inference(forward_demodulation,[status(thm)],[f25,f37050]) ).

fof(f109554,plain,
    ifeq2(true,true,addition(sF7_fnc,multiplication(star(sF8_fnc),sF7_fnc)),sF7_fnc) = sF7_fnc,
    inference(paramodulation,[status(thm)],[f2291,f99]) ).

fof(f109559,plain,
    addition(sF7_fnc,multiplication(star(sF8_fnc),sF7_fnc)) = sF7_fnc,
    inference(forward_demodulation,[status(thm)],[f25,f109554]) ).

fof(f109560,plain,
    multiplication(addition(one,star(sF8_fnc)),sF7_fnc) = sF7_fnc,
    inference(forward_demodulation,[status(thm)],[f189,f109559]) ).

fof(f109561,plain,
    multiplication(star(sF8_fnc),sF7_fnc) = sF7_fnc,
    inference(forward_demodulation,[status(thm)],[f439,f109560]) ).

fof(f109598,plain,
    ifeq(leq(multiplication(addition(sK1_goals_X1,star(sF8_fnc)),sF7_fnc),sF7_fnc),true,leq(multiplication(sF3_fnc,sF7_fnc),sF7_fnc),true) = true,
    inference(paramodulation,[status(thm)],[f109561,f1347]) ).

fof(f109709,plain,
    ifeq(leq(multiplication(star(sF8_fnc),sF7_fnc),sF7_fnc),true,leq(multiplication(sF3_fnc,sF7_fnc),sF7_fnc),true) = true,
    inference(forward_demodulation,[status(thm)],[f37053,f109598]) ).

fof(f109710,plain,
    ifeq(leq(sF7_fnc,sF7_fnc),true,leq(multiplication(sF3_fnc,sF7_fnc),sF7_fnc),true) = true,
    inference(forward_demodulation,[status(thm)],[f109561,f109709]) ).

fof(f109711,plain,
    ifeq(true,true,leq(multiplication(sF3_fnc,sF7_fnc),sF7_fnc),true) = true,
    inference(forward_demodulation,[status(thm)],[f325,f109710]) ).

fof(f109712,plain,
    leq(multiplication(sF3_fnc,sF7_fnc),sF7_fnc) = true,
    inference(forward_demodulation,[status(thm)],[f26,f109711]) ).

fof(f109713,plain,
    leq(sF2_fnc,sF7_fnc) = true,
    inference(forward_demodulation,[status(thm)],[f133,f109712]) ).

fof(f109714,plain,
    sF1_fnc = true,
    inference(forward_demodulation,[status(thm)],[f54,f109713]) ).

fof(f109803,plain,
    sF0_fnc = tuple(true,true),
    inference(backward_demodulation,[status(thm)],[f109714,f5927]) ).

fof(f109809,plain,
    sF0_fnc = sF17_fnc,
    inference(forward_demodulation,[status(thm)],[f64,f109803]) ).

fof(f109810,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f109809,f65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KLE147-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n010.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 20 22:46:40 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.36  % Drodi V4.1.1
% 242.16/30.98  % Refutation found
% 242.16/30.98  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 242.16/30.98  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.72/32.26  % Elapsed time: 31.908432 seconds
% 8.72/32.26  % CPU time: 246.641090 seconds
% 8.72/32.26  % Total memory used: 1.593 GB
% 8.72/32.26  % Net memory used: 1.491 GB
%------------------------------------------------------------------------------