%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE145-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 12:58:24 PM UTC 2026
% Result : Unsatisfiable 23.04s 3.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE145-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 22:51:08 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 23.04/3.35 % Refutation found
% 23.04/3.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 23.04/3.35 % SZS output start CNFRefutation for theBenchmark
% 23.04/3.35 fof(f1,axiom,(
% 23.04/3.35 (![A,B,C]: (ifeq3(A,A,B,C) = B ))),
% 23.04/3.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.35 fof(f2,axiom,(
% 23.04/3.35 (![A,B,C]: (ifeq2(A,A,B,C) = B ))),
% 23.04/3.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.35 fof(f3,axiom,(
% 23.04/3.35 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 23.04/3.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.35 fof(f4,axiom,(
% 23.04/3.35 (![A,B]: (addition(A,B) = addition(B,A) ))),
% 23.04/3.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.35 fof(f5,axiom,(
% 23.04/3.35 (![A,B,C]: (addition(A,addition(B,C)) = addition(addition(A,B),C) ))),
% 23.04/3.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.35 fof(f6,axiom,(
% 23.04/3.35 (![A]: (addition(A,zero) = A ))),
% 23.04/3.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.35 fof(f7,axiom,(
% 23.04/3.35 (![A]: (addition(A,A) = A ))),
% 23.04/3.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.35 fof(f8,axiom,(
% 23.04/3.35 (![A,B,C]: (multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f9,axiom,(
% 23.04/3.36 (![A]: (multiplication(A,one) = A ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f10,axiom,(
% 23.04/3.36 (![A]: (multiplication(one,A) = A ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f11,axiom,(
% 23.04/3.36 (![A,B,C]: (multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f12,axiom,(
% 23.04/3.36 (![A,B,C]: (multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f13,axiom,(
% 23.04/3.36 (![A]: (multiplication(zero,A) = zero ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f15,axiom,(
% 23.04/3.36 (![A]: (addition(one,multiplication(star(A),A)) = star(A) ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f16,axiom,(
% 23.04/3.36 (![A,C,B]: (ifeq(leq(addition(multiplication(A,C),B),C),true,leq(multiplication(star(A),B),C),true) = true ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f18,axiom,(
% 23.04/3.36 (![A]: (strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one) ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f20,axiom,(
% 23.04/3.36 (![A]: (strong_iteration(A) = addition(star(A),multiplication(strong_iteration(A),zero)) ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f21,axiom,(
% 23.04/3.36 (![A,B]: (ifeq2(leq(A,B),true,addition(A,B),B) = B ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f22,axiom,(
% 23.04/3.36 (![A,B]: (ifeq3(addition(A,B),B,leq(A,B),true) = true ))),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f23,negated_conjecture,(
% 23.04/3.36 star(strong_iteration(sK1_goals_X0)) != strong_iteration(sK1_goals_X0) ),
% 23.04/3.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.04/3.36 fof(f24,plain,(
% 23.04/3.36 ![X0,X1,X2]: (ifeq3(X0,X0,X1,X2)=X1)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f1])).
% 23.04/3.36 fof(f25,plain,(
% 23.04/3.36 ![X0,X1,X2]: (ifeq2(X0,X0,X1,X2)=X1)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f2])).
% 23.04/3.36 fof(f26,plain,(
% 23.04/3.36 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f3])).
% 23.04/3.36 fof(f27,plain,(
% 23.04/3.36 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f4])).
% 23.04/3.36 fof(f28,plain,(
% 23.04/3.36 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f5])).
% 23.04/3.36 fof(f29,plain,(
% 23.04/3.36 ![X0]: (addition(X0,zero)=X0)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f6])).
% 23.04/3.36 fof(f30,plain,(
% 23.04/3.36 ![X0]: (addition(X0,X0)=X0)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f7])).
% 23.04/3.36 fof(f31,plain,(
% 23.04/3.36 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f8])).
% 23.04/3.36 fof(f32,plain,(
% 23.04/3.36 ![X0]: (multiplication(X0,one)=X0)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f9])).
% 23.04/3.36 fof(f33,plain,(
% 23.04/3.36 ![X0]: (multiplication(one,X0)=X0)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f10])).
% 23.04/3.36 fof(f34,plain,(
% 23.04/3.36 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f11])).
% 23.04/3.36 fof(f35,plain,(
% 23.04/3.36 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f12])).
% 23.04/3.36 fof(f36,plain,(
% 23.04/3.36 ![X0]: (multiplication(zero,X0)=zero)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f13])).
% 23.04/3.36 fof(f38,plain,(
% 23.04/3.36 ![X0]: (addition(one,multiplication(star(X0),X0))=star(X0))),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f15])).
% 23.04/3.36 fof(f39,plain,(
% 23.04/3.36 ![X0,X1,X2]: (ifeq(leq(addition(multiplication(X0,X1),X2),X1),true,leq(multiplication(star(X0),X2),X1),true)=true)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f16])).
% 23.04/3.36 fof(f41,plain,(
% 23.04/3.36 ![X0]: (strong_iteration(X0)=addition(multiplication(X0,strong_iteration(X0)),one))),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f18])).
% 23.04/3.36 fof(f43,plain,(
% 23.04/3.36 ![X0]: (strong_iteration(X0)=addition(star(X0),multiplication(strong_iteration(X0),zero)))),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f20])).
% 23.04/3.36 fof(f44,plain,(
% 23.04/3.36 ![X0,X1]: (ifeq2(leq(X0,X1),true,addition(X0,X1),X1)=X1)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f21])).
% 23.04/3.36 fof(f45,plain,(
% 23.04/3.36 ![X0,X1]: (ifeq3(addition(X0,X1),X1,leq(X0,X1),true)=true)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f22])).
% 23.04/3.36 fof(f46,plain,(
% 23.04/3.36 ~star(strong_iteration(sK1_goals_X0))=strong_iteration(sK1_goals_X0)),
% 23.04/3.36 inference(cnf_transformation,[status(thm)],[f23])).
% 23.04/3.36 fof(f47,definition,(
% 23.04/3.36 sF1_fnc=strong_iteration(sK1_goals_X0)),
% 23.04/3.36 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 23.04/3.36 fof(f48,definition,(
% 23.04/3.36 sF0_fnc=star(sF1_fnc)),
% 23.04/3.36 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 23.04/3.36 fof(f49,plain,(
% 23.04/3.36 ~sF0_fnc=sF1_fnc),
% 23.04/3.36 inference(definition_folding,[],[f46,f48,f47])).
% 23.04/3.36 fof(f50,plain,(
% 23.04/3.36 ![X0]: (strong_iteration(X0)=addition(one,multiplication(X0,strong_iteration(X0))))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f27,f41])).
% 23.04/3.36 fof(f55,plain,(
% 23.04/3.36 ![X0]: (X0=addition(zero,X0))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f29,f27])).
% 23.04/3.36 fof(f71,plain,(
% 23.04/3.36 ![X0,X1]: (addition(X0,addition(X0,X1))=addition(X0,X1))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f30,f28])).
% 23.04/3.36 fof(f93,plain,(
% 23.04/3.36 ![X0,X1]: (addition(X0,addition(X1,X0))=addition(X0,X1))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f27,f71])).
% 23.04/3.36 fof(f155,plain,(
% 23.04/3.36 addition(one,multiplication(sF0_fnc,sF1_fnc))=star(sF1_fnc)),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f48,f38])).
% 23.04/3.36 fof(f157,plain,(
% 23.04/3.36 ![X0]: (addition(one,star(X0))=addition(one,multiplication(star(X0),X0)))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f38,f71])).
% 23.04/3.36 fof(f159,plain,(
% 23.04/3.36 addition(one,multiplication(sF0_fnc,sF1_fnc))=sF0_fnc),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f48,f155])).
% 23.04/3.36 fof(f164,plain,(
% 23.04/3.36 ![X0]: (addition(one,star(X0))=star(X0))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f38,f157])).
% 23.04/3.36 fof(f177,plain,(
% 23.04/3.36 addition(multiplication(sF0_fnc,sF1_fnc),sF0_fnc)=addition(multiplication(sF0_fnc,sF1_fnc),one)),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f159,f93])).
% 23.04/3.36 fof(f180,plain,(
% 23.04/3.36 addition(sF0_fnc,multiplication(sF0_fnc,sF1_fnc))=addition(multiplication(sF0_fnc,sF1_fnc),one)),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f27,f177])).
% 23.04/3.36 fof(f181,plain,(
% 23.04/3.36 addition(sF0_fnc,multiplication(sF0_fnc,sF1_fnc))=addition(one,multiplication(sF0_fnc,sF1_fnc))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f27,f180])).
% 23.04/3.36 fof(f182,plain,(
% 23.04/3.36 addition(sF0_fnc,multiplication(sF0_fnc,sF1_fnc))=sF0_fnc),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f159,f181])).
% 23.04/3.36 fof(f190,plain,(
% 23.04/3.36 ![X0,X1]: (multiplication(X0,addition(one,X1))=addition(X0,multiplication(X0,X1)))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f32,f34])).
% 23.04/3.36 fof(f194,plain,(
% 23.04/3.36 ![X0,X1]: (multiplication(X0,addition(X1,one))=addition(multiplication(X0,X1),X0))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f32,f34])).
% 23.04/3.36 fof(f214,plain,(
% 23.04/3.36 ![X0,X1]: (multiplication(X0,addition(X1,one))=addition(X0,multiplication(X0,X1)))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f27,f194])).
% 23.04/3.36 fof(f220,plain,(
% 23.04/3.36 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X1,X2),multiplication(X0,X2)))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f27,f35])).
% 23.04/3.36 fof(f223,plain,(
% 23.04/3.36 ![X0,X1,X2,X3]: (multiplication(addition(multiplication(X0,X1),X2),X3)=addition(multiplication(X0,multiplication(X1,X3)),multiplication(X2,X3)))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f31,f35])).
% 23.04/3.36 fof(f229,plain,(
% 23.04/3.36 ![X0,X1]: (multiplication(addition(X0,one),X1)=addition(multiplication(X0,X1),X1))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f33,f35])).
% 23.04/3.36 fof(f242,plain,(
% 23.04/3.36 ![X0,X1]: (multiplication(addition(X0,one),X1)=addition(X1,multiplication(X0,X1)))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f27,f229])).
% 23.04/3.36 fof(f782,plain,(
% 23.04/3.36 ![X0,X1,X2]: (ifeq(leq(multiplication(addition(X0,X1),X2),X2),true,leq(multiplication(star(X0),multiplication(X1,X2)),X2),true)=true)),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f35,f39])).
% 23.04/3.36 fof(f789,plain,(
% 23.04/3.36 ![X0,X1]: (ifeq(leq(multiplication(X0,X1),X1),true,leq(multiplication(star(X0),multiplication(X0,X1)),X1),true)=true)),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f30,f39])).
% 23.04/3.36 fof(f872,plain,(
% 23.04/3.36 strong_iteration(sK1_goals_X0)=addition(one,multiplication(sK1_goals_X0,sF1_fnc))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f47,f50])).
% 23.04/3.36 fof(f874,plain,(
% 23.04/3.36 ![X0]: (addition(multiplication(X0,strong_iteration(X0)),strong_iteration(X0))=addition(multiplication(X0,strong_iteration(X0)),one))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f50,f93])).
% 23.04/3.36 fof(f878,plain,(
% 23.04/3.36 sF1_fnc=addition(one,multiplication(sK1_goals_X0,sF1_fnc))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f47,f872])).
% 23.04/3.36 fof(f879,plain,(
% 23.04/3.36 ![X0]: (addition(strong_iteration(X0),multiplication(X0,strong_iteration(X0)))=addition(multiplication(X0,strong_iteration(X0)),one))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f27,f874])).
% 23.04/3.36 fof(f880,plain,(
% 23.04/3.36 ![X0]: (multiplication(addition(X0,one),strong_iteration(X0))=addition(multiplication(X0,strong_iteration(X0)),one))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f242,f879])).
% 23.04/3.36 fof(f881,plain,(
% 23.04/3.36 ![X0]: (multiplication(addition(X0,one),strong_iteration(X0))=addition(one,multiplication(X0,strong_iteration(X0))))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f27,f880])).
% 23.04/3.36 fof(f882,plain,(
% 23.04/3.36 ![X0]: (multiplication(addition(X0,one),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f50,f881])).
% 23.04/3.36 fof(f887,plain,(
% 23.04/3.36 addition(one,sF1_fnc)=addition(one,multiplication(sK1_goals_X0,sF1_fnc))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f878,f71])).
% 23.04/3.36 fof(f892,plain,(
% 23.04/3.36 addition(one,sF1_fnc)=sF1_fnc),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f878,f887])).
% 23.04/3.36 fof(f2046,plain,(
% 23.04/3.36 ![X0]: (ifeq3(X0,X0,leq(X0,X0),true)=true)),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f30,f45])).
% 23.04/3.36 fof(f2098,plain,(
% 23.04/3.36 ![X0]: (leq(X0,X0)=true)),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f24,f2046])).
% 23.04/3.36 fof(f3289,plain,(
% 23.04/3.36 ![X0]: (multiplication(X0,sF1_fnc)=addition(X0,multiplication(X0,sF1_fnc)))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f892,f190])).
% 23.04/3.36 fof(f3390,plain,(
% 23.04/3.36 multiplication(sF0_fnc,sF1_fnc)=sF0_fnc),
% 23.04/3.36 inference(backward_demodulation,[status(thm)],[f3289,f182])).
% 23.04/3.36 fof(f5676,plain,(
% 23.04/3.36 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=multiplication(addition(X1,X0),X2))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f35,f220])).
% 23.04/3.36 fof(f6778,plain,(
% 23.04/3.36 ![X0,X1,X2]: (multiplication(addition(multiplication(X0,zero),X1),X2)=addition(multiplication(X0,zero),multiplication(X1,X2)))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f36,f223])).
% 23.04/3.36 fof(f12622,plain,(
% 23.04/3.36 ![X0]: (ifeq(leq(strong_iteration(X0),strong_iteration(X0)),true,leq(multiplication(star(X0),multiplication(one,strong_iteration(X0))),strong_iteration(X0)),true)=true)),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f882,f782])).
% 23.04/3.36 fof(f12711,plain,(
% 23.04/3.36 ![X0]: (ifeq(true,true,leq(multiplication(star(X0),multiplication(one,strong_iteration(X0))),strong_iteration(X0)),true)=true)),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f2098,f12622])).
% 23.04/3.36 fof(f12712,plain,(
% 23.04/3.36 ![X0]: (leq(multiplication(star(X0),multiplication(one,strong_iteration(X0))),strong_iteration(X0))=true)),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f26,f12711])).
% 23.04/3.36 fof(f12713,plain,(
% 23.04/3.36 ![X0]: (leq(multiplication(star(X0),strong_iteration(X0)),strong_iteration(X0))=true)),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f33,f12712])).
% 23.04/3.36 fof(f13582,plain,(
% 23.04/3.36 ![X0]: (ifeq2(true,true,addition(multiplication(star(X0),strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f12713,f44])).
% 23.04/3.36 fof(f13607,plain,(
% 23.04/3.36 ![X0]: (addition(multiplication(star(X0),strong_iteration(X0)),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f25,f13582])).
% 23.04/3.36 fof(f13608,plain,(
% 23.04/3.36 ![X0]: (addition(strong_iteration(X0),multiplication(star(X0),strong_iteration(X0)))=strong_iteration(X0))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f27,f13607])).
% 23.04/3.36 fof(f13609,plain,(
% 23.04/3.36 ![X0]: (multiplication(addition(star(X0),one),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f242,f13608])).
% 23.04/3.36 fof(f13610,plain,(
% 23.04/3.36 ![X0]: (multiplication(addition(one,star(X0)),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f5676,f13609])).
% 23.04/3.36 fof(f13613,plain,(
% 23.04/3.36 ![X0]: (multiplication(star(X0),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f164,f13610])).
% 23.04/3.36 fof(f13743,plain,(
% 23.04/3.36 ![X0,X1]: (multiplication(addition(star(X0),X1),strong_iteration(X0))=addition(multiplication(X1,strong_iteration(X0)),strong_iteration(X0)))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f13613,f220])).
% 23.04/3.36 fof(f13792,plain,(
% 23.04/3.36 ![X0,X1]: (multiplication(addition(star(X0),X1),strong_iteration(X0))=addition(strong_iteration(X0),multiplication(X1,strong_iteration(X0))))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f27,f13743])).
% 23.04/3.36 fof(f13795,plain,(
% 23.04/3.36 ![X0,X1]: (multiplication(addition(star(X0),X1),strong_iteration(X0))=multiplication(addition(X1,one),strong_iteration(X0)))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f242,f13792])).
% 23.04/3.36 fof(f18975,plain,(
% 23.04/3.36 ![X0]: (multiplication(strong_iteration(X0),strong_iteration(X0))=multiplication(addition(multiplication(strong_iteration(X0),zero),one),strong_iteration(X0)))),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f43,f13795])).
% 23.04/3.36 fof(f19043,plain,(
% 23.04/3.36 ![X0]: (multiplication(strong_iteration(X0),strong_iteration(X0))=addition(multiplication(strong_iteration(X0),zero),multiplication(one,strong_iteration(X0))))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f6778,f18975])).
% 23.04/3.36 fof(f19044,plain,(
% 23.04/3.36 ![X0]: (multiplication(strong_iteration(X0),strong_iteration(X0))=addition(multiplication(one,strong_iteration(X0)),multiplication(strong_iteration(X0),zero)))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f27,f19043])).
% 23.04/3.36 fof(f19045,plain,(
% 23.04/3.36 ![X0]: (multiplication(strong_iteration(X0),strong_iteration(X0))=addition(strong_iteration(X0),multiplication(strong_iteration(X0),zero)))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f33,f19044])).
% 23.04/3.36 fof(f19046,plain,(
% 23.04/3.36 ![X0]: (multiplication(strong_iteration(X0),strong_iteration(X0))=multiplication(strong_iteration(X0),addition(zero,one)))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f214,f19045])).
% 23.04/3.36 fof(f19047,plain,(
% 23.04/3.36 ![X0]: (multiplication(strong_iteration(X0),strong_iteration(X0))=multiplication(strong_iteration(X0),one))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f55,f19046])).
% 23.04/3.36 fof(f19048,plain,(
% 23.04/3.36 ![X0]: (multiplication(strong_iteration(X0),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.36 inference(forward_demodulation,[status(thm)],[f32,f19047])).
% 23.04/3.36 fof(f19174,plain,(
% 23.04/3.36 ![X0]: (ifeq(leq(multiplication(strong_iteration(X0),strong_iteration(X0)),strong_iteration(X0)),true,leq(multiplication(star(strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)),true)=true)),
% 23.04/3.36 inference(paramodulation,[status(thm)],[f19048,f789])).
% 23.04/3.36 fof(f19241,plain,(
% 23.04/3.36 ![X0]: (ifeq(leq(strong_iteration(X0),strong_iteration(X0)),true,leq(multiplication(star(strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)),true)=true)),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f19048,f19174])).
% 23.04/3.44 fof(f19242,plain,(
% 23.04/3.44 ![X0]: (ifeq(true,true,leq(multiplication(star(strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)),true)=true)),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f2098,f19241])).
% 23.04/3.44 fof(f19243,plain,(
% 23.04/3.44 ![X0]: (leq(multiplication(star(strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0))=true)),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f26,f19242])).
% 23.04/3.44 fof(f19415,plain,(
% 23.04/3.44 ![X0]: (ifeq2(true,true,addition(multiplication(star(strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.44 inference(paramodulation,[status(thm)],[f19243,f44])).
% 23.04/3.44 fof(f19475,plain,(
% 23.04/3.44 ![X0]: (addition(multiplication(star(strong_iteration(X0)),strong_iteration(X0)),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f25,f19415])).
% 23.04/3.44 fof(f19476,plain,(
% 23.04/3.44 ![X0]: (addition(strong_iteration(X0),multiplication(star(strong_iteration(X0)),strong_iteration(X0)))=strong_iteration(X0))),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f27,f19475])).
% 23.04/3.44 fof(f19477,plain,(
% 23.04/3.44 ![X0]: (multiplication(addition(star(strong_iteration(X0)),one),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f242,f19476])).
% 23.04/3.44 fof(f19478,plain,(
% 23.04/3.44 ![X0]: (multiplication(addition(one,star(strong_iteration(X0))),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f5676,f19477])).
% 23.04/3.44 fof(f19481,plain,(
% 23.04/3.44 ![X0]: (multiplication(star(strong_iteration(X0)),strong_iteration(X0))=strong_iteration(X0))),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f164,f19478])).
% 23.04/3.44 fof(f19662,plain,(
% 23.04/3.44 multiplication(star(sF1_fnc),strong_iteration(sK1_goals_X0))=strong_iteration(sK1_goals_X0)),
% 23.04/3.44 inference(paramodulation,[status(thm)],[f47,f19481])).
% 23.04/3.44 fof(f19720,plain,(
% 23.04/3.44 multiplication(sF0_fnc,strong_iteration(sK1_goals_X0))=strong_iteration(sK1_goals_X0)),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f48,f19662])).
% 23.04/3.44 fof(f19721,plain,(
% 23.04/3.44 multiplication(sF0_fnc,sF1_fnc)=strong_iteration(sK1_goals_X0)),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f47,f19720])).
% 23.04/3.44 fof(f19722,plain,(
% 23.04/3.44 sF1_fnc=sF0_fnc),
% 23.04/3.44 inference(backward_demodulation,[status(thm)],[f19723,f47])).
% 23.04/3.44 fof(f19723,plain,(
% 23.04/3.44 sF0_fnc=strong_iteration(sK1_goals_X0)),
% 23.04/3.44 inference(forward_demodulation,[status(thm)],[f3390,f19721])).
% 23.04/3.44 fof(f19876,plain,(
% 23.04/3.44 $false),
% 23.04/3.44 inference(forward_subsumption_resolution,[status(thm)],[f19722,f49])).
% 23.04/3.44 % SZS output end CNFRefutation for theBenchmark.p
% 22.31/3.48 % Elapsed time: 3.087802 seconds
% 22.31/3.48 % CPU time: 24.275690 seconds
% 22.31/3.48 % Total memory used: 448.016 MB
% 22.31/3.48 % Net memory used: 441.035 MB
%------------------------------------------------------------------------------