TSTP Solution File: LCL894+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL894+1 : TPTP v8.1.2. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May 31 12:20:47 EDT 2023

% Result   : Theorem 50.57s 6.71s
% Output   : CNFRefutation 51.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : LCL894+1 : TPTP v8.1.2. Released v5.5.0.
% 0.04/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n004.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 09:40:37 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.27  % Drodi V3.5.1
% 50.57/6.71  % Refutation found
% 50.57/6.71  % SZS status Theorem for theBenchmark: Theorem is valid
% 50.57/6.71  % SZS output start CNFRefutation for theBenchmark
% 50.57/6.71  fof(f1,axiom,(
% 50.57/6.71    (! [A,B,C] : '+'('+'(A,B),C) = '+'(A,'+'(B,C)) )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f2,axiom,(
% 50.57/6.71    (! [A,B] : '+'(A,B) = '+'(B,A) )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f3,axiom,(
% 50.57/6.71    (! [A] : '+'(A,'0') = A )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f4,axiom,(
% 50.57/6.71    (! [A] : '>='(A,A) )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f5,axiom,(
% 50.57/6.71    (! [X0,X1,X2] :( ( '>='(X0,X1)& '>='(X1,X2) )=> '>='(X0,X2) ) )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f6,axiom,(
% 50.57/6.71    (! [X3,X4] :( ( '>='(X3,X4)& '>='(X4,X3) )=> X3 = X4 ) )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f7,axiom,(
% 50.57/6.71    (! [X5,X6,X7] :( '>='('+'(X5,X6),X7)<=> '>='(X6,'==>'(X5,X7)) ) )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f8,axiom,(
% 50.57/6.71    (! [A] : '>='(A,'0') )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f9,axiom,(
% 50.57/6.71    (! [X8,X9,X10] :( '>='(X8,X9)=> '>='('+'(X8,X10),'+'(X9,X10)) ) )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f10,axiom,(
% 50.57/6.71    (! [X11,X12,X13] :( '>='(X11,X12)=> '>='('==>'(X12,X13),'==>'(X11,X13)) ) )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f11,axiom,(
% 50.57/6.71    (! [X14,X15,X16] :( '>='(X14,X15)=> '>='('==>'(X16,X14),'==>'(X16,X15)) ) )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f12,axiom,(
% 50.57/6.71    (! [A,B] : '+'(A,'==>'(A,B)) = '+'(B,'==>'(B,A)) )),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f13,conjecture,(
% 50.57/6.71    ( ( '>='(c,a)& '>='(c,b) )<=> '>='(c,'+'(a,'==>'(a,b))) ) ),
% 50.57/6.71    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 50.57/6.71  fof(f14,negated_conjecture,(
% 50.57/6.71    ~(( ( '>='(c,a)& '>='(c,b) )<=> '>='(c,'+'(a,'==>'(a,b))) ) )),
% 50.57/6.71    inference(negated_conjecture,[status(cth)],[f13])).
% 50.57/6.71  fof(f15,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('+'('+'(X0,X1),X2)='+'(X0,'+'(X1,X2)))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f1])).
% 50.57/6.71  fof(f16,plain,(
% 50.57/6.71    ![X0,X1]: ('+'(X0,X1)='+'(X1,X0))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f2])).
% 50.57/6.71  fof(f17,plain,(
% 50.57/6.71    ![X0]: ('+'(X0,'0')=X0)),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f3])).
% 50.57/6.71  fof(f18,plain,(
% 50.57/6.71    ![X0]: ('>='(X0,X0))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f4])).
% 50.57/6.71  fof(f19,plain,(
% 50.57/6.71    ![X0,X1,X2]: ((~'>='(X0,X1)|~'>='(X1,X2))|'>='(X0,X2))),
% 50.57/6.71    inference(pre_NNF_transformation,[status(esa)],[f5])).
% 50.57/6.71  fof(f20,plain,(
% 50.57/6.71    ![X0,X2]: ((![X1]: (~'>='(X0,X1)|~'>='(X1,X2)))|'>='(X0,X2))),
% 50.57/6.71    inference(miniscoping,[status(esa)],[f19])).
% 50.57/6.71  fof(f21,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='(X0,X1)|~'>='(X1,X2)|'>='(X0,X2))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f20])).
% 50.57/6.71  fof(f22,plain,(
% 50.57/6.71    ![X3,X4]: ((~'>='(X3,X4)|~'>='(X4,X3))|X3=X4)),
% 50.57/6.71    inference(pre_NNF_transformation,[status(esa)],[f6])).
% 50.57/6.71  fof(f23,plain,(
% 50.57/6.71    ![X0,X1]: (~'>='(X0,X1)|~'>='(X1,X0)|X0=X1)),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f22])).
% 50.57/6.71  fof(f24,plain,(
% 50.57/6.71    ![X5,X6,X7]: ((~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7)))&('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 50.57/6.71    inference(NNF_transformation,[status(esa)],[f7])).
% 50.57/6.71  fof(f25,plain,(
% 50.57/6.71    (![X5,X6,X7]: (~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7))))&(![X5,X6,X7]: ('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 50.57/6.71    inference(miniscoping,[status(esa)],[f24])).
% 50.57/6.71  fof(f26,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='('+'(X0,X1),X2)|'>='(X1,'==>'(X0,X2)))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f25])).
% 50.57/6.71  fof(f27,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('>='('+'(X0,X1),X2)|~'>='(X1,'==>'(X0,X2)))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f25])).
% 50.57/6.71  fof(f28,plain,(
% 50.57/6.71    ![X0]: ('>='(X0,'0'))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f8])).
% 50.57/6.71  fof(f29,plain,(
% 50.57/6.71    ![X8,X9,X10]: (~'>='(X8,X9)|'>='('+'(X8,X10),'+'(X9,X10)))),
% 50.57/6.71    inference(pre_NNF_transformation,[status(esa)],[f9])).
% 50.57/6.71  fof(f30,plain,(
% 50.57/6.71    ![X8,X9]: (~'>='(X8,X9)|(![X10]: '>='('+'(X8,X10),'+'(X9,X10))))),
% 50.57/6.71    inference(miniscoping,[status(esa)],[f29])).
% 50.57/6.71  fof(f31,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='(X0,X1)|'>='('+'(X0,X2),'+'(X1,X2)))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f30])).
% 50.57/6.71  fof(f32,plain,(
% 50.57/6.71    ![X11,X12,X13]: (~'>='(X11,X12)|'>='('==>'(X12,X13),'==>'(X11,X13)))),
% 50.57/6.71    inference(pre_NNF_transformation,[status(esa)],[f10])).
% 50.57/6.71  fof(f33,plain,(
% 50.57/6.71    ![X11,X12]: (~'>='(X11,X12)|(![X13]: '>='('==>'(X12,X13),'==>'(X11,X13))))),
% 50.57/6.71    inference(miniscoping,[status(esa)],[f32])).
% 50.57/6.71  fof(f34,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='(X0,X1)|'>='('==>'(X1,X2),'==>'(X0,X2)))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f33])).
% 50.57/6.71  fof(f35,plain,(
% 50.57/6.71    ![X14,X15,X16]: (~'>='(X14,X15)|'>='('==>'(X16,X14),'==>'(X16,X15)))),
% 50.57/6.71    inference(pre_NNF_transformation,[status(esa)],[f11])).
% 50.57/6.71  fof(f36,plain,(
% 50.57/6.71    ![X14,X15]: (~'>='(X14,X15)|(![X16]: '>='('==>'(X16,X14),'==>'(X16,X15))))),
% 50.57/6.71    inference(miniscoping,[status(esa)],[f35])).
% 50.57/6.71  fof(f37,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='(X0,X1)|'>='('==>'(X2,X0),'==>'(X2,X1)))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f36])).
% 50.57/6.71  fof(f38,plain,(
% 50.57/6.71    ![X0,X1]: ('+'(X0,'==>'(X0,X1))='+'(X1,'==>'(X1,X0)))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f12])).
% 50.57/6.71  fof(f39,plain,(
% 50.57/6.71    (('>='(c,a)&'>='(c,b))<~>'>='(c,'+'(a,'==>'(a,b))))),
% 50.57/6.71    inference(pre_NNF_transformation,[status(esa)],[f14])).
% 50.57/6.71  fof(f40,plain,(
% 50.57/6.71    (('>='(c,a)&'>='(c,b))|'>='(c,'+'(a,'==>'(a,b))))&((~'>='(c,a)|~'>='(c,b))|~'>='(c,'+'(a,'==>'(a,b))))),
% 50.57/6.71    inference(NNF_transformation,[status(esa)],[f39])).
% 50.57/6.71  fof(f41,plain,(
% 50.57/6.71    '>='(c,a)|'>='(c,'+'(a,'==>'(a,b)))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f40])).
% 50.57/6.71  fof(f42,plain,(
% 50.57/6.71    '>='(c,b)|'>='(c,'+'(a,'==>'(a,b)))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f40])).
% 50.57/6.71  fof(f43,plain,(
% 50.57/6.71    ~'>='(c,a)|~'>='(c,b)|~'>='(c,'+'(a,'==>'(a,b)))),
% 50.57/6.71    inference(cnf_transformation,[status(esa)],[f40])).
% 50.57/6.71  fof(f44,plain,(
% 50.57/6.71    spl0_0 <=> '>='(c,a)),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f45,plain,(
% 50.57/6.71    '>='(c,a)|~spl0_0),
% 50.57/6.71    inference(component_clause,[status(thm)],[f44])).
% 50.57/6.71  fof(f47,plain,(
% 50.57/6.71    spl0_1 <=> '>='(c,'+'(a,'==>'(a,b)))),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f48,plain,(
% 50.57/6.71    '>='(c,'+'(a,'==>'(a,b)))|~spl0_1),
% 50.57/6.71    inference(component_clause,[status(thm)],[f47])).
% 50.57/6.71  fof(f49,plain,(
% 50.57/6.71    ~'>='(c,'+'(a,'==>'(a,b)))|spl0_1),
% 50.57/6.71    inference(component_clause,[status(thm)],[f47])).
% 50.57/6.71  fof(f50,plain,(
% 50.57/6.71    spl0_0|spl0_1),
% 50.57/6.71    inference(split_clause,[status(thm)],[f41,f44,f47])).
% 50.57/6.71  fof(f51,plain,(
% 50.57/6.71    spl0_2 <=> '>='(c,b)),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f52,plain,(
% 50.57/6.71    '>='(c,b)|~spl0_2),
% 50.57/6.71    inference(component_clause,[status(thm)],[f51])).
% 50.57/6.71  fof(f53,plain,(
% 50.57/6.71    ~'>='(c,b)|spl0_2),
% 50.57/6.71    inference(component_clause,[status(thm)],[f51])).
% 50.57/6.71  fof(f54,plain,(
% 50.57/6.71    spl0_2|spl0_1),
% 50.57/6.71    inference(split_clause,[status(thm)],[f42,f51,f47])).
% 50.57/6.71  fof(f55,plain,(
% 50.57/6.71    ~spl0_0|~spl0_2|~spl0_1),
% 50.57/6.71    inference(split_clause,[status(thm)],[f43,f44,f51,f47])).
% 50.57/6.71  fof(f64,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'(X1,'+'(X2,X0)))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f16,f15])).
% 50.57/6.71  fof(f67,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('+'('+'(X0,X1),X2)='+'(X1,'+'(X0,X2)))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f16,f15])).
% 50.57/6.71  fof(f83,plain,(
% 50.57/6.71    ![X0,X1,X2,X3]: (~'>='('+'(X0,X1),X2)|'>='('+'(X0,'+'(X1,X3)),'+'(X2,X3)))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f15,f31])).
% 50.57/6.71  fof(f84,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='(X0,X1)|'>='('+'(X2,X0),'+'(X1,X2)))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f16,f31])).
% 50.57/6.71  fof(f87,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='(X0,X1)|'>='('+'(X0,X2),'+'(X2,X1)))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f16,f31])).
% 50.57/6.71  fof(f90,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='(X0,X1)|X1=X0|~'>='(X1,X2)|~'>='(X2,X0))),
% 50.57/6.71    inference(resolution,[status(thm)],[f23,f21])).
% 50.57/6.71  fof(f98,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='(X0,X1)|~'>='('==>'(X0,X2),'==>'(X1,X2))|'==>'(X0,X2)='==>'(X1,X2))),
% 50.57/6.71    inference(resolution,[status(thm)],[f34,f23])).
% 50.57/6.71  fof(f112,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='(X0,X1)|~'>='('==>'(X2,X1),'==>'(X2,X0))|'==>'(X2,X1)='==>'(X2,X0))),
% 50.57/6.71    inference(resolution,[status(thm)],[f37,f23])).
% 50.57/6.71  fof(f119,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('+'(X0,'+'(X1,'==>'('+'(X0,X1),X2)))='+'(X2,'==>'(X2,'+'(X0,X1))))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f15,f38])).
% 50.57/6.71  fof(f140,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'(X2,'+'(X1,X0)))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f16,f64])).
% 50.57/6.71  fof(f145,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'('+'(X2,X0),X1))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f16,f64])).
% 50.57/6.71  fof(f152,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'(X1,'+'(X0,X2)))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f16,f64])).
% 50.57/6.71  fof(f207,plain,(
% 50.57/6.71    ![X0,X1]: ('>='('+'(X0,X1),'+'(X1,X0)))),
% 50.57/6.71    inference(resolution,[status(thm)],[f84,f18])).
% 50.57/6.71  fof(f243,plain,(
% 50.57/6.71    ![X0,X1]: ('>='(X0,'==>'(X1,'+'(X1,X0))))),
% 50.57/6.71    inference(resolution,[status(thm)],[f26,f18])).
% 50.57/6.71  fof(f279,plain,(
% 50.57/6.71    ![X0,X1]: ('>='('+'(X0,'==>'(X0,X1)),X1))),
% 50.57/6.71    inference(resolution,[status(thm)],[f27,f18])).
% 50.57/6.71  fof(f290,plain,(
% 50.57/6.71    ![X0,X1]: ('>='('==>'(X0,X1),'==>'(X0,'0')))),
% 50.57/6.71    inference(resolution,[status(thm)],[f28,f37])).
% 50.57/6.71  fof(f298,plain,(
% 50.57/6.71    ![X0,X1]: (~'>='('0',X0)|'>='(X1,X0))),
% 50.57/6.71    inference(resolution,[status(thm)],[f28,f21])).
% 50.57/6.71  fof(f307,plain,(
% 50.57/6.71    ![X0,X1]: ('>='(X0,X1)|~'>='('0','==>'(X0,X1)))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f17,f27])).
% 50.57/6.71  fof(f323,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('>='(X0,X1)|~'>='('0',X2)|~'>='(X2,X1))),
% 50.57/6.71    inference(resolution,[status(thm)],[f298,f21])).
% 50.57/6.71  fof(f338,plain,(
% 50.57/6.71    ![X0,X1]: ('>='(X0,'==>'(X1,'+'(X0,X1))))),
% 50.57/6.71    inference(resolution,[status(thm)],[f207,f26])).
% 50.57/6.71  fof(f389,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='('==>'(X0,'+'(X0,X1)),X2)|'>='(X1,X2))),
% 50.57/6.71    inference(resolution,[status(thm)],[f243,f21])).
% 50.57/6.71  fof(f413,plain,(
% 50.57/6.71    ![X0,X1]: ('>='('+'(X0,'==>'(X0,X1)),X0))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f38,f279])).
% 50.57/6.71  fof(f426,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='('==>'(X0,'+'(X1,X0)),X2)|'>='(X1,X2))),
% 50.57/6.71    inference(resolution,[status(thm)],[f338,f21])).
% 50.57/6.71  fof(f436,plain,(
% 50.57/6.71    ![X0,X1]: ('>='('==>'(X0,X1),'==>'(X0,X0)))),
% 50.57/6.71    inference(resolution,[status(thm)],[f413,f26])).
% 50.57/6.71  fof(f446,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='(X0,'+'(X1,'==>'(X1,X2)))|'>='(X0,X1))),
% 50.57/6.71    inference(resolution,[status(thm)],[f413,f21])).
% 50.57/6.71  fof(f499,plain,(
% 50.57/6.71    spl0_4 <=> '>='(X1,'0')),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f510,plain,(
% 50.57/6.71    spl0_5 <=> ~'>='('0',X0)|~'>='(X0,X1)|'>='(X2,X1)),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f511,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='('0',X0)|~'>='(X0,X1)|'>='(X2,X1)|~spl0_5)),
% 50.57/6.71    inference(component_clause,[status(thm)],[f510])).
% 50.57/6.71  fof(f513,plain,(
% 50.57/6.71    spl0_6 <=> ~'>='('0',X3)),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f514,plain,(
% 50.57/6.71    ![X0]: (~'>='('0',X0)|~spl0_6)),
% 50.57/6.71    inference(component_clause,[status(thm)],[f513])).
% 50.57/6.71  fof(f516,plain,(
% 50.57/6.71    ![X0,X1,X2,X3]: (~'>='('0',X0)|~'>='(X0,X1)|'>='(X2,X1)|~'>='('0',X3))),
% 50.57/6.71    inference(resolution,[status(thm)],[f323,f323])).
% 50.57/6.71  fof(f517,plain,(
% 50.57/6.71    spl0_5|spl0_6),
% 50.57/6.71    inference(split_clause,[status(thm)],[f516,f510,f513])).
% 50.57/6.71  fof(f544,plain,(
% 50.57/6.71    spl0_8 <=> '>='('0','0')),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f546,plain,(
% 50.57/6.71    ~'>='('0','0')|spl0_8),
% 50.57/6.71    inference(component_clause,[status(thm)],[f544])).
% 50.57/6.71  fof(f547,plain,(
% 50.57/6.71    ![X0]: ('>='(X0,'0')|~'>='('0','0'))),
% 50.57/6.71    inference(resolution,[status(thm)],[f323,f298])).
% 50.57/6.71  fof(f548,plain,(
% 50.57/6.71    spl0_4|~spl0_8),
% 50.57/6.71    inference(split_clause,[status(thm)],[f547,f499,f544])).
% 50.57/6.71  fof(f573,plain,(
% 50.57/6.71    spl0_9 <=> '>='(X0,X1)|~'>='('0',X1)),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f576,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('>='(X0,X1)|~'>='('0',X2)|~'>='('0',X1))),
% 50.57/6.71    inference(resolution,[status(thm)],[f323,f298])).
% 50.57/6.71  fof(f577,plain,(
% 50.57/6.71    spl0_9|spl0_6),
% 50.57/6.71    inference(split_clause,[status(thm)],[f576,f573,f513])).
% 50.57/6.71  fof(f580,plain,(
% 50.57/6.71    $false|spl0_8),
% 50.57/6.71    inference(forward_subsumption_resolution,[status(thm)],[f546,f28])).
% 50.57/6.71  fof(f581,plain,(
% 50.57/6.71    spl0_8),
% 50.57/6.71    inference(contradiction_clause,[status(thm)],[f580])).
% 50.57/6.71  fof(f734,plain,(
% 50.57/6.71    ![X0]: (~'>='(c,X0)|~'>='(X0,'+'(a,'==>'(a,b)))|spl0_1)),
% 50.57/6.71    inference(resolution,[status(thm)],[f49,f21])).
% 50.57/6.71  fof(f770,plain,(
% 50.57/6.71    ![X0]: (~'>='(a,X0)|'>='(c,X0)|~spl0_0)),
% 50.57/6.71    inference(resolution,[status(thm)],[f45,f21])).
% 50.57/6.71  fof(f771,plain,(
% 50.57/6.71    $false|~spl0_6),
% 50.57/6.71    inference(resolution,[status(thm)],[f514,f28])).
% 50.57/6.71  fof(f772,plain,(
% 50.57/6.71    ~spl0_6),
% 50.57/6.71    inference(contradiction_clause,[status(thm)],[f771])).
% 50.57/6.71  fof(f1052,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='('==>'(X0,'+'(X0,'0')),X1)|'>='(X2,X1)|~spl0_5)),
% 50.57/6.71    inference(resolution,[status(thm)],[f511,f243])).
% 50.57/6.71  fof(f1053,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='('==>'(X0,X0),X1)|'>='(X2,X1)|~spl0_5)),
% 50.57/6.71    inference(forward_demodulation,[status(thm)],[f17,f1052])).
% 50.57/6.71  fof(f1136,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('>='(X0,'==>'(X1,'+'('==>'(X2,X2),X1)))|~spl0_5)),
% 50.57/6.71    inference(resolution,[status(thm)],[f1053,f338])).
% 50.57/6.71  fof(f1137,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('>='(X0,'==>'(X1,'+'(X1,'==>'(X2,X2))))|~spl0_5)),
% 50.57/6.71    inference(resolution,[status(thm)],[f1053,f243])).
% 50.57/6.71  fof(f1159,plain,(
% 50.57/6.71    spl0_19 <=> ~'>='('==>'(X0,X0),X1)|'>='(X3,X1)),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f1162,plain,(
% 50.57/6.71    ![X0,X1,X2,X3]: (~'>='('==>'(X0,X0),X1)|~'>='('0',X2)|'>='(X3,X1)|~spl0_5)),
% 50.57/6.71    inference(resolution,[status(thm)],[f1053,f511])).
% 50.57/6.71  fof(f1163,plain,(
% 50.57/6.71    spl0_19|spl0_6|~spl0_5),
% 50.57/6.71    inference(split_clause,[status(thm)],[f1162,f1159,f513,f510])).
% 50.57/6.71  fof(f1185,plain,(
% 50.57/6.71    spl0_20 <=> '>='(X1,'==>'(X2,'+'('==>'(X3,X3),X2)))),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f1188,plain,(
% 50.57/6.71    ![X0,X1,X2,X3]: (~'>='('0',X0)|'>='(X1,'==>'(X2,'+'('==>'(X3,X3),X2)))|~spl0_5)),
% 50.57/6.71    inference(resolution,[status(thm)],[f1136,f511])).
% 50.57/6.71  fof(f1189,plain,(
% 50.57/6.71    spl0_6|spl0_20|~spl0_5),
% 50.57/6.71    inference(split_clause,[status(thm)],[f1188,f513,f1185,f510])).
% 50.57/6.71  fof(f1218,plain,(
% 50.57/6.71    spl0_21 <=> '>='(X1,'==>'(X2,'+'(X2,'==>'(X3,X3))))),
% 50.57/6.71    introduced(split_symbol_definition)).
% 50.57/6.71  fof(f1221,plain,(
% 50.57/6.71    ![X0,X1,X2,X3]: (~'>='('0',X0)|'>='(X1,'==>'(X2,'+'(X2,'==>'(X3,X3))))|~spl0_5)),
% 50.57/6.71    inference(resolution,[status(thm)],[f1137,f511])).
% 50.57/6.71  fof(f1222,plain,(
% 50.57/6.71    spl0_6|spl0_21|~spl0_5),
% 50.57/6.71    inference(split_clause,[status(thm)],[f1221,f513,f1218,f510])).
% 50.57/6.71  fof(f1259,plain,(
% 50.57/6.71    ![X0]: ('>='('==>'(X0,c),'==>'(X0,b))|~spl0_2)),
% 50.57/6.71    inference(resolution,[status(thm)],[f52,f37])).
% 50.57/6.71  fof(f1275,plain,(
% 50.57/6.71    ![X0]: (~'>='(c,X0)|~'>='(X0,b)|spl0_2)),
% 50.57/6.71    inference(resolution,[status(thm)],[f53,f21])).
% 50.57/6.71  fof(f1337,plain,(
% 50.57/6.71    ![X0,X1]: ('>='(X0,'+'('==>'(X1,X1),X0))|~spl0_5)),
% 50.57/6.71    inference(resolution,[status(thm)],[f307,f1136])).
% 50.57/6.71  fof(f1430,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'(X0,'+'(X2,X1)))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f64,f140])).
% 50.57/6.71  fof(f1552,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'('+'(X0,X2),X1))),
% 50.57/6.71    inference(paramodulation,[status(thm)],[f16,f145])).
% 50.57/6.71  fof(f2637,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='('==>'(X0,'+'(X0,'0')),'==>'(X1,X2))|'>='(X1,X2))),
% 50.57/6.71    inference(resolution,[status(thm)],[f389,f307])).
% 50.57/6.71  fof(f2638,plain,(
% 50.57/6.71    ![X0,X1,X2]: (~'>='('==>'(X0,X0),'==>'(X1,X2))|'>='(X1,X2))),
% 50.57/6.71    inference(forward_demodulation,[status(thm)],[f17,f2637])).
% 50.57/6.71  fof(f3142,plain,(
% 50.57/6.71    ![X0,X1,X2]: ('>='('+'(X0,'+'(X1,X2)),'+'('0',X2)))),
% 50.57/6.71    inference(resolution,[status(thm)],[f83,f28])).
% 50.57/6.71  fof(f3399,plain,(
% 50.57/6.71    ~'>='('+'(a,'==>'(a,b)),b)|spl0_2|~spl0_1),
% 50.57/6.71    inference(resolution,[status(thm)],[f1275,f48])).
% 50.57/6.71  fof(f3400,plain,(
% 50.57/6.71    $false|spl0_2|~spl0_1),
% 50.57/6.71    inference(forward_subsumption_resolution,[status(thm)],[f3399,f279])).
% 50.57/6.71  fof(f3401,plain,(
% 50.57/6.71    spl0_2|~spl0_1),
% 50.57/6.71    inference(contradiction_clause,[status(thm)],[f3400])).
% 50.57/6.71  fof(f3607,plain,(
% 50.57/6.71    ![X0,X1]: ('>='('+'('==>'(X0,c),X1),'+'(X1,'==>'(X0,b)))|~spl0_2)),
% 50.57/6.71    inference(resolution,[status(thm)],[f1259,f87])).
% 50.57/6.71  fof(f4754,plain,(
% 50.57/6.71    '>='(c,a)|~spl0_1),
% 50.57/6.71    inference(resolution,[status(thm)],[f446,f48])).
% 50.57/6.72  fof(f4755,plain,(
% 50.57/6.72    spl0_0|~spl0_1),
% 50.57/6.72    inference(split_clause,[status(thm)],[f4754,f44,f47])).
% 50.57/6.72  fof(f6006,plain,(
% 50.57/6.72    spl0_41 <=> '0'='0'),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f6009,plain,(
% 50.57/6.72    ~'>='('0','0')|'0'='0'),
% 50.57/6.72    inference(resolution,[status(thm)],[f90,f28])).
% 50.57/6.72  fof(f6010,plain,(
% 50.57/6.72    ~spl0_8|spl0_41),
% 50.57/6.72    inference(split_clause,[status(thm)],[f6009,f544,f6006])).
% 50.57/6.72  fof(f6669,plain,(
% 50.57/6.72    spl0_46 <=> '>='(c,c)),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f6671,plain,(
% 50.57/6.72    ~'>='(c,c)|spl0_46),
% 50.57/6.72    inference(component_clause,[status(thm)],[f6669])).
% 50.57/6.72  fof(f8454,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,'+'(X1,X2)),'+'(X2,'0')))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f16,f3142])).
% 50.57/6.72  fof(f8455,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,'+'(X1,X2)),X2))),
% 50.57/6.72    inference(forward_demodulation,[status(thm)],[f17,f8454])).
% 50.57/6.72  fof(f8465,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,X1),'==>'(X2,X1)))),
% 50.57/6.72    inference(resolution,[status(thm)],[f8455,f26])).
% 50.57/6.72  fof(f8563,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,'+'(X1,X2)),X1))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f1430,f8455])).
% 50.57/6.72  fof(f8567,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,'+'(X1,X2)),X0))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f140,f8455])).
% 50.57/6.72  fof(f8601,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='(X0,'==>'(X1,'==>'(X2,X0))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f8465,f26])).
% 50.57/6.72  fof(f8662,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: ('>='('+'(X0,'+'(X1,X2)),'==>'(X3,X1)))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f1552,f8465])).
% 50.57/6.72  fof(f8664,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: ('>='('+'(X0,'+'(X1,X2)),'==>'(X3,X2)))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f67,f8465])).
% 50.57/6.72  fof(f8677,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,X1),'==>'(X2,X0)))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f16,f8465])).
% 50.57/6.72  fof(f8817,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,'+'(X1,'==>'(X1,X2))),X2))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f38,f8563])).
% 50.57/6.72  fof(f8832,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,X1),'==>'(X2,X2)))),
% 50.57/6.72    inference(resolution,[status(thm)],[f8567,f26])).
% 50.57/6.72  fof(f8976,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='(X0,'==>'(X1,'==>'(X2,X2))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f8601,f2638])).
% 50.57/6.72  fof(f9025,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='(X0,'==>'(X1,'==>'(X2,X1))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f8677,f26])).
% 50.57/6.72  fof(f9093,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,'==>'(X0,X1)),'==>'(X2,X1)))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f38,f8677])).
% 50.57/6.72  fof(f9529,plain,(
% 50.57/6.72    $false|spl0_46),
% 50.57/6.72    inference(forward_subsumption_resolution,[status(thm)],[f6671,f18])).
% 50.57/6.72  fof(f9530,plain,(
% 50.57/6.72    spl0_46),
% 50.57/6.72    inference(contradiction_clause,[status(thm)],[f9529])).
% 50.57/6.72  fof(f9895,plain,(
% 50.57/6.72    spl0_66 <=> ~'>='('0','+'(X0,X1))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f9898,plain,(
% 50.57/6.72    spl0_67 <=> '>='(X2,'==>'(X3,X3))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f9901,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: (~'>='('0','+'(X0,X1))|'>='(X2,'==>'(X3,X3))|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f8832,f511])).
% 50.57/6.72  fof(f9902,plain,(
% 50.57/6.72    spl0_66|spl0_67|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f9901,f9895,f9898,f510])).
% 50.57/6.72  fof(f9950,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: ('>='(X0,'==>'(X1,'==>'(X2,'==>'(X3,X3)))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f8976,f26])).
% 50.57/6.72  fof(f9985,plain,(
% 50.57/6.72    spl0_68 <=> '>='(X1,'==>'(X2,'==>'(X3,X3)))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f9988,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: (~'>='('0',X0)|'>='(X1,'==>'(X2,'==>'(X3,X3)))|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f8976,f511])).
% 50.57/6.72  fof(f9989,plain,(
% 50.57/6.72    spl0_6|spl0_68|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f9988,f513,f9985,f510])).
% 50.57/6.72  fof(f10021,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: ('>='(X0,'==>'(X1,'==>'(X2,'==>'(X3,X2)))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f9025,f26])).
% 50.57/6.72  fof(f10056,plain,(
% 50.57/6.72    spl0_69 <=> '>='(X1,'==>'(X2,'==>'(X3,X2)))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f10059,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: (~'>='('0',X0)|'>='(X1,'==>'(X2,'==>'(X3,X2)))|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f9025,f511])).
% 50.57/6.72  fof(f10060,plain,(
% 50.57/6.72    spl0_6|spl0_69|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f10059,f513,f10056,f510])).
% 50.57/6.72  fof(f10864,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: ('>='('+'(X0,X1),'==>'(X2,'==>'(X3,X0))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f8662,f26])).
% 50.57/6.72  fof(f11109,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,X1),'==>'(X2,'0')))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f17,f8664])).
% 50.57/6.72  fof(f11170,plain,(
% 50.57/6.72    spl0_70 <=> '>='(X2,'==>'(X3,'0'))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f11173,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: (~'>='('0','+'(X0,X1))|'>='(X2,'==>'(X3,'0'))|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f11109,f511])).
% 50.57/6.72  fof(f11174,plain,(
% 50.57/6.72    spl0_66|spl0_70|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f11173,f9895,f11170,f510])).
% 50.57/6.72  fof(f14015,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,'+'(X1,'==>'(X0,X2))),X2))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f152,f8817])).
% 50.57/6.72  fof(f14043,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('==>'(X0,X1),'==>'(X0,'==>'(X2,X1))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f9093,f26])).
% 50.57/6.72  fof(f14176,plain,(
% 50.57/6.72    spl0_80 <=> '>='(X1,'==>'(X2,'==>'(X3,'==>'(X4,X4))))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f14179,plain,(
% 50.57/6.72    ![X0,X1,X2,X3,X4]: (~'>='('0',X0)|'>='(X1,'==>'(X2,'==>'(X3,'==>'(X4,X4))))|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f9950,f511])).
% 50.57/6.72  fof(f14180,plain,(
% 50.57/6.72    spl0_6|spl0_80|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f14179,f513,f14176,f510])).
% 50.57/6.72  fof(f14255,plain,(
% 50.57/6.72    spl0_81 <=> '>='(X1,'==>'(X2,'==>'(X3,'==>'(X4,X3))))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f14258,plain,(
% 50.57/6.72    ![X0,X1,X2,X3,X4]: (~'>='('0',X0)|'>='(X1,'==>'(X2,'==>'(X3,'==>'(X4,X3))))|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f10021,f511])).
% 50.57/6.72  fof(f14259,plain,(
% 50.57/6.72    spl0_6|spl0_81|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f14258,f513,f14255,f510])).
% 50.57/6.72  fof(f14554,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='(X0,X1)|'==>'(X0,X1)='==>'(X0,X0))),
% 50.57/6.72    inference(resolution,[status(thm)],[f112,f436])).
% 50.57/6.72  fof(f14590,plain,(
% 50.57/6.72    '==>'(c,a)='==>'(c,c)|~spl0_0),
% 50.57/6.72    inference(resolution,[status(thm)],[f14554,f45])).
% 50.57/6.72  fof(f14661,plain,(
% 50.57/6.72    ![X0]: ('==>'(X0,'0')='==>'(X0,X0))),
% 50.57/6.72    inference(resolution,[status(thm)],[f14554,f28])).
% 50.57/6.72  fof(f14692,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='('0',X0)|~'>='('==>'(X1,X0),'==>'(X1,'0'))|'==>'(X1,X0)='==>'(X1,X1))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f14661,f112])).
% 50.57/6.72  fof(f14693,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='('0',X0)|'==>'(X1,X0)='==>'(X1,X1))),
% 50.57/6.72    inference(forward_subsumption_resolution,[status(thm)],[f14692,f290])).
% 50.57/6.72  fof(f14862,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: ('>='(X0,'==>'(X1,'==>'(X2,'==>'(X3,X1)))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f10864,f26])).
% 50.57/6.72  fof(f15748,plain,(
% 50.57/6.72    spl0_85 <=> '==>'(c,c)='==>'(c,c)),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f15908,plain,(
% 50.57/6.72    ~'>='(c,a)|'==>'(c,c)='==>'(c,c)|~spl0_0),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f14590,f14554])).
% 50.57/6.72  fof(f15909,plain,(
% 50.57/6.72    ~spl0_0|spl0_85),
% 50.57/6.72    inference(split_clause,[status(thm)],[f15908,f44,f15748])).
% 50.57/6.72  fof(f16523,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,'==>'(X1,X2)),'==>'(X1,X2)))),
% 50.57/6.72    inference(resolution,[status(thm)],[f14015,f26])).
% 50.57/6.72  fof(f17084,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='(X0,'==>'(X1,'==>'(X2,'+'(X0,X1)))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f14043,f426])).
% 50.57/6.72  fof(f17184,plain,(
% 50.57/6.72    ![X0,X1]: ('==>'(X0,'==>'(X1,'+'(X1,'0')))='==>'(X0,X0))),
% 50.57/6.72    inference(resolution,[status(thm)],[f14693,f243])).
% 50.57/6.72  fof(f17185,plain,(
% 50.57/6.72    ![X0,X1]: ('==>'(X0,'==>'(X1,X1))='==>'(X0,X0))),
% 50.57/6.72    inference(forward_demodulation,[status(thm)],[f17,f17184])).
% 50.57/6.72  fof(f17210,plain,(
% 50.57/6.72    spl0_89 <=> '==>'(X0,X0)='==>'(X0,X0)),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f17213,plain,(
% 50.57/6.72    ![X0]: (~'>='('0','0')|'==>'(X0,X0)='==>'(X0,X0))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f14661,f14693])).
% 50.57/6.72  fof(f17214,plain,(
% 50.57/6.72    ~spl0_8|spl0_89),
% 50.57/6.72    inference(split_clause,[status(thm)],[f17213,f544,f17210])).
% 50.57/6.72  fof(f17257,plain,(
% 50.57/6.72    spl0_90 <=> ~'>='('0','==>'(X0,X0))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f17410,plain,(
% 50.57/6.72    ![X0,X1,X2]: (~'>='(X0,X1)|~'>='('==>'(X0,X1),'==>'(X1,'==>'(X2,X2)))|'==>'(X0,X1)='==>'(X1,X1))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f17185,f98])).
% 50.57/6.72  fof(f17411,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='(X0,X1)|'==>'(X0,X1)='==>'(X1,X1))),
% 50.57/6.72    inference(forward_subsumption_resolution,[status(thm)],[f17410,f8976])).
% 50.57/6.72  fof(f17642,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('+'(X0,'==>'(X0,'+'(X1,X2))),X1))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f119,f8567])).
% 50.57/6.72  fof(f18040,plain,(
% 50.57/6.72    spl0_91 <=> '>='(X1,'==>'(X2,'==>'(X3,'==>'(X4,X2))))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f18043,plain,(
% 50.57/6.72    ![X0,X1,X2,X3,X4]: (~'>='('0',X0)|'>='(X1,'==>'(X2,'==>'(X3,'==>'(X4,X2))))|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f14862,f511])).
% 50.57/6.72  fof(f18044,plain,(
% 50.57/6.72    spl0_6|spl0_91|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f18043,f513,f18040,f510])).
% 50.57/6.72  fof(f18163,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('==>'(X0,X1),'==>'(X2,'==>'(X0,X1))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f16523,f26])).
% 50.57/6.72  fof(f18397,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='(X0,'==>'(X1,'+'('==>'(X2,X2),X0))))),
% 50.57/6.72    inference(resolution,[status(thm)],[f17084,f2638])).
% 50.57/6.72  fof(f18598,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('==>'(X0,'+'(X1,X2)),'==>'(X0,X1)))),
% 50.57/6.72    inference(resolution,[status(thm)],[f17642,f26])).
% 50.57/6.72  fof(f21282,plain,(
% 50.57/6.72    ![X0,X1]: ('>='('==>'(X0,X0),'==>'(X1,X1)))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f17185,f18163])).
% 50.57/6.72  fof(f21313,plain,(
% 50.57/6.72    ![X0,X1]: ('>='('+'(X0,'==>'(X1,X1)),X0))),
% 50.57/6.72    inference(resolution,[status(thm)],[f21282,f27])).
% 50.57/6.72  fof(f21375,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='('==>'(X0,X0),'==>'(X1,X1))|'==>'(X0,X0)='==>'(X1,X1))),
% 50.57/6.72    inference(resolution,[status(thm)],[f21282,f23])).
% 50.57/6.72  fof(f21376,plain,(
% 50.57/6.72    ![X0,X1]: ('==>'(X0,X0)='==>'(X1,X1))),
% 50.57/6.72    inference(forward_subsumption_resolution,[status(thm)],[f21375,f21282])).
% 50.57/6.72  fof(f21390,plain,(
% 50.57/6.72    ![X0,X1]: ('>='('==>'(X0,X0),'==>'(X1,'0')))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f14661,f21282])).
% 50.57/6.72  fof(f21393,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('==>'(X0,'==>'(X1,X1))='==>'(X2,X2))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f17185,f21376])).
% 50.57/6.72  fof(f21394,plain,(
% 50.57/6.72    ![X0,X1]: ('==>'(X0,'0')='==>'(X1,X1))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f14661,f21376])).
% 50.57/6.72  fof(f21425,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='('==>'(X0,X1),'==>'(X2,X2)))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f21376,f18163])).
% 50.57/6.72  fof(f21532,plain,(
% 50.57/6.72    spl0_94 <=> ~'>='('==>'(X0,X0),'==>'(X1,X1))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f21535,plain,(
% 50.57/6.72    spl0_95 <=> '>='(X2,X2)),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f21775,plain,(
% 50.57/6.72    spl0_96 <=> ~'>='(X0,'0')),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f21776,plain,(
% 50.57/6.72    ![X0]: (~'>='(X0,'0')|~spl0_96)),
% 50.57/6.72    inference(component_clause,[status(thm)],[f21775])).
% 50.57/6.72  fof(f21778,plain,(
% 50.57/6.72    spl0_97 <=> '==>'(X1,X1)='==>'('0','0')),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f21781,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='(X0,'0')|'==>'(X1,X1)='==>'('0','0'))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f21394,f17411])).
% 50.57/6.72  fof(f21782,plain,(
% 50.57/6.72    spl0_96|spl0_97),
% 50.57/6.72    inference(split_clause,[status(thm)],[f21781,f21775,f21778])).
% 50.57/6.72  fof(f21785,plain,(
% 50.57/6.72    spl0_98 <=> '==>'(X0,X0)='==>'(X1,X1)),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f21788,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='('0','0')|'==>'(X0,X0)='==>'(X1,X1))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f21394,f14693])).
% 50.57/6.72  fof(f21789,plain,(
% 50.57/6.72    ~spl0_8|spl0_98),
% 50.57/6.72    inference(split_clause,[status(thm)],[f21788,f544,f21785])).
% 50.57/6.72  fof(f22056,plain,(
% 50.57/6.72    $false|~spl0_96),
% 50.57/6.72    inference(forward_subsumption_resolution,[status(thm)],[f21776,f28])).
% 50.57/6.72  fof(f22057,plain,(
% 50.57/6.72    ~spl0_96),
% 50.57/6.72    inference(contradiction_clause,[status(thm)],[f22056])).
% 50.57/6.72  fof(f22667,plain,(
% 50.57/6.72    ![X0,X1]: ('>='('+'('==>'(X0,X0),X1),X1))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f16,f21313])).
% 50.57/6.72  fof(f22736,plain,(
% 50.57/6.72    spl0_101 <=> ~'>='('0','==>'(X0,X1))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f22739,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: (~'>='('0','==>'(X0,X1))|'>='(X2,'==>'(X3,X3))|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f21425,f511])).
% 50.57/6.72  fof(f22740,plain,(
% 50.57/6.72    spl0_101|spl0_67|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f22739,f22736,f9898,f510])).
% 50.57/6.72  fof(f22855,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='(X0,'+'('==>'(X1,X1),X0))|X0='+'('==>'(X1,X1),X0))),
% 50.57/6.72    inference(resolution,[status(thm)],[f22667,f23])).
% 50.57/6.72  fof(f22856,plain,(
% 50.57/6.72    ![X0,X1]: (X0='+'('==>'(X1,X1),X0)|~spl0_5)),
% 50.57/6.72    inference(forward_subsumption_resolution,[status(thm)],[f22855,f1337])).
% 50.57/6.72  fof(f22857,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='(X0,'+'('==>'(X1,X1),X0))|'+'('==>'(X1,X1),X0)=X0)),
% 50.57/6.72    inference(resolution,[status(thm)],[f22667,f23])).
% 50.57/6.72  fof(f22858,plain,(
% 50.57/6.72    ![X0,X1]: ('+'('==>'(X0,X0),X1)=X1|~spl0_5)),
% 50.57/6.72    inference(forward_subsumption_resolution,[status(thm)],[f22857,f1337])).
% 50.57/6.72  fof(f23364,plain,(
% 50.57/6.72    ![X0,X1,X2]: (~'>='('0','==>'(X0,X0))|'>='(X1,'==>'(X2,'0'))|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f21390,f511])).
% 50.57/6.72  fof(f23365,plain,(
% 50.57/6.72    spl0_90|spl0_70|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f23364,f17257,f11170,f510])).
% 50.57/6.72  fof(f23530,plain,(
% 50.57/6.72    ![X0,X1,X2,X3]: (~'>='('==>'(X0,X0),'==>'(X1,X1))|'>='(X2,'==>'(X3,X3)))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f21393,f2638])).
% 50.57/6.72  fof(f23531,plain,(
% 50.57/6.72    spl0_94|spl0_67),
% 50.57/6.72    inference(split_clause,[status(thm)],[f23530,f21532,f9898])).
% 50.57/6.72  fof(f23543,plain,(
% 50.57/6.72    ![X0,X1,X2]: ('>='(X0,'==>'(X1,X1))|~'>='('0','==>'(X2,X2)))),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f21393,f307])).
% 50.57/6.72  fof(f23544,plain,(
% 50.57/6.72    spl0_67|spl0_90),
% 50.57/6.72    inference(split_clause,[status(thm)],[f23543,f9898,f17257])).
% 50.57/6.72  fof(f24332,plain,(
% 50.57/6.72    ![X0]: ('0'='==>'(X0,X0)|~spl0_5)),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f17,f22856])).
% 50.57/6.72  fof(f24549,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='(X0,X1)|'==>'(X0,X1)='0'|~spl0_5)),
% 50.57/6.72    inference(backward_demodulation,[status(thm)],[f24332,f17411])).
% 50.57/6.72  fof(f24733,plain,(
% 50.57/6.72    ![X0]: ('>='(X0,X0)|~'>='('0','0')|~spl0_5)),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f24332,f307])).
% 50.57/6.72  fof(f24734,plain,(
% 50.57/6.72    spl0_95|~spl0_8|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f24733,f21535,f544,f510])).
% 50.57/6.72  fof(f24943,plain,(
% 50.57/6.72    ![X0]: ('+'('0',X0)=X0|~spl0_5)),
% 50.57/6.72    inference(forward_demodulation,[status(thm)],[f24332,f22858])).
% 50.57/6.72  fof(f25538,plain,(
% 50.57/6.72    '==>'(c,a)='0'|~spl0_5|~spl0_0),
% 50.57/6.72    inference(resolution,[status(thm)],[f24549,f45])).
% 50.57/6.72  fof(f25540,plain,(
% 50.57/6.72    ![X0]: ('==>'(c,X0)='0'|~'>='(a,X0)|~spl0_5|~spl0_0)),
% 50.57/6.72    inference(resolution,[status(thm)],[f24549,f770])).
% 50.57/6.72  fof(f25652,plain,(
% 50.57/6.72    spl0_104 <=> '==>'(c,c)='0'),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f25655,plain,(
% 50.57/6.72    ~'>='(c,a)|'==>'(c,c)='0'|~spl0_5|~spl0_0),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f14590,f24549])).
% 50.57/6.72  fof(f25656,plain,(
% 50.57/6.72    ~spl0_0|spl0_104|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f25655,f44,f25652,f510])).
% 50.57/6.72  fof(f25661,plain,(
% 50.57/6.72    spl0_105 <=> '==>'(X1,X1)='0'),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f25664,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='(X0,'0')|'==>'(X1,X1)='0'|~spl0_5)),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f21394,f24549])).
% 50.57/6.72  fof(f25665,plain,(
% 50.57/6.72    spl0_96|spl0_105|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f25664,f21775,f25661,f510])).
% 50.57/6.72  fof(f25666,plain,(
% 50.57/6.72    spl0_106 <=> ~'>='(X0,X0)),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f25667,plain,(
% 50.57/6.72    ![X0]: (~'>='(X0,X0)|~spl0_106)),
% 50.57/6.72    inference(component_clause,[status(thm)],[f25666])).
% 50.57/6.72  fof(f25671,plain,(
% 50.57/6.72    spl0_107 <=> '==>'(X1,'0')='0'),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f25674,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='(X0,X0)|'==>'(X1,'0')='0'|~spl0_5)),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f21394,f24549])).
% 50.57/6.72  fof(f25675,plain,(
% 50.57/6.72    spl0_106|spl0_107|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f25674,f25666,f25671,f510])).
% 50.57/6.72  fof(f25680,plain,(
% 50.57/6.72    $false|~spl0_106),
% 50.57/6.72    inference(forward_subsumption_resolution,[status(thm)],[f25667,f18])).
% 50.57/6.72  fof(f25681,plain,(
% 50.57/6.72    ~spl0_106),
% 50.57/6.72    inference(contradiction_clause,[status(thm)],[f25680])).
% 50.57/6.72  fof(f26149,plain,(
% 50.57/6.72    spl0_122 <=> '>='(b,'0')),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f26151,plain,(
% 50.57/6.72    ~'>='(b,'0')|spl0_122),
% 50.57/6.72    inference(component_clause,[status(thm)],[f26149])).
% 50.57/6.72  fof(f26976,plain,(
% 50.57/6.72    ![X0,X1]: ('>='(X0,'==>'(X1,'+'('0',X0)))|~spl0_5)),
% 50.57/6.72    inference(forward_demodulation,[status(thm)],[f24332,f18397])).
% 50.57/6.72  fof(f26977,plain,(
% 50.57/6.72    ![X0,X1]: ('>='(X0,'==>'(X1,X0))|~spl0_5)),
% 50.57/6.72    inference(forward_demodulation,[status(thm)],[f24943,f26976])).
% 50.57/6.72  fof(f27002,plain,(
% 50.57/6.72    ![X0,X1]: ('==>'(X0,'==>'(X1,X0))='0'|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f26977,f24549])).
% 50.57/6.72  fof(f27308,plain,(
% 50.57/6.72    ![X0,X1]: ('>='('0','==>'('+'(X0,X1),X0))|~spl0_5)),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f24332,f18598])).
% 50.57/6.72  fof(f27895,plain,(
% 50.57/6.72    spl0_127 <=> '>='(c,'==>'(X0,a))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f28426,plain,(
% 50.57/6.72    spl0_148 <=> '>='(X0,'==>'(X1,X0))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f28429,plain,(
% 50.57/6.72    ![X0,X1]: ('>='(X0,'==>'(X1,X0))|~'>='('0','0')|~spl0_5)),
% 50.57/6.72    inference(paramodulation,[status(thm)],[f27002,f307])).
% 50.57/6.72  fof(f28430,plain,(
% 50.57/6.72    spl0_148|~spl0_8|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f28429,f28426,f544,f510])).
% 50.57/6.72  fof(f29090,plain,(
% 50.57/6.72    spl0_158 <=> '>='(X0,'==>'('+'(X1,X2),X1))),
% 50.57/6.72    introduced(split_symbol_definition)).
% 50.57/6.72  fof(f29093,plain,(
% 50.57/6.72    ![X0,X1,X2]: (~'>='('0','0')|'>='(X0,'==>'('+'(X1,X2),X1))|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f27308,f511])).
% 50.57/6.72  fof(f29094,plain,(
% 50.57/6.72    ~spl0_8|spl0_158|~spl0_5),
% 50.57/6.72    inference(split_clause,[status(thm)],[f29093,f544,f29090,f510])).
% 50.57/6.72  fof(f29108,plain,(
% 50.57/6.72    ![X0,X1]: (~'>='('==>'('+'(X0,X1),X0),'0')|'==>'('+'(X0,X1),X0)='0'|~spl0_5)),
% 50.57/6.72    inference(resolution,[status(thm)],[f27308,f23])).
% 50.57/6.72  fof(f29109,plain,(
% 50.57/6.72    ![X0,X1]: ('==>'('+'(X0,X1),X0)='0'|~spl0_5)),
% 50.57/6.72    inference(forward_subsumption_resolution,[status(thm)],[f29108,f28])).
% 50.57/6.72  fof(f29148,plain,(
% 50.57/6.72    $false|spl0_122),
% 50.57/6.72    inference(forward_subsumption_resolution,[status(thm)],[f26151,f28])).
% 50.57/6.72  fof(f29149,plain,(
% 50.57/6.72    spl0_122),
% 50.57/6.72    inference(contradiction_clause,[status(thm)],[f29148])).
% 51.34/6.77  fof(f29176,plain,(
% 51.34/6.77    ![X0,X1]: ('==>'('+'(X0,X1),X1)='0'|~spl0_5)),
% 51.34/6.77    inference(paramodulation,[status(thm)],[f16,f29109])).
% 51.34/6.77  fof(f29404,plain,(
% 51.34/6.77    spl0_160 <=> '>='('+'(X0,X1),X0)),
% 51.34/6.77    introduced(split_symbol_definition)).
% 51.34/6.77  fof(f29407,plain,(
% 51.34/6.77    ![X0,X1]: ('>='('+'(X0,X1),X0)|~'>='('0','0')|~spl0_5)),
% 51.34/6.77    inference(paramodulation,[status(thm)],[f29109,f307])).
% 51.34/6.77  fof(f29408,plain,(
% 51.34/6.77    spl0_160|~spl0_8|~spl0_5),
% 51.34/6.77    inference(split_clause,[status(thm)],[f29407,f29404,f544,f510])).
% 51.34/6.77  fof(f30193,plain,(
% 51.34/6.77    spl0_179 <=> '>='('+'(X0,X1),X1)),
% 51.34/6.77    introduced(split_symbol_definition)).
% 51.34/6.77  fof(f30196,plain,(
% 51.34/6.77    ![X0,X1]: ('>='('+'(X0,X1),X1)|~'>='('0','0')|~spl0_5)),
% 51.34/6.77    inference(paramodulation,[status(thm)],[f29176,f307])).
% 51.34/6.77  fof(f30197,plain,(
% 51.34/6.77    spl0_179|~spl0_8|~spl0_5),
% 51.34/6.77    inference(split_clause,[status(thm)],[f30196,f30193,f544,f510])).
% 51.34/6.77  fof(f36481,plain,(
% 51.34/6.77    ![X0]: ('==>'(c,'==>'(X0,a))='0'|~spl0_0|~spl0_5)),
% 51.34/6.77    inference(resolution,[status(thm)],[f25540,f26977])).
% 51.34/6.77  fof(f36737,plain,(
% 51.34/6.77    ![X0]: ('>='(c,'==>'(X0,a))|~'>='('0','0')|~spl0_0|~spl0_5)),
% 51.34/6.77    inference(paramodulation,[status(thm)],[f36481,f307])).
% 51.34/6.77  fof(f36738,plain,(
% 51.34/6.77    spl0_127|~spl0_8|~spl0_0|~spl0_5),
% 51.34/6.77    inference(split_clause,[status(thm)],[f36737,f27895,f544,f44,f510])).
% 51.34/6.77  fof(f37346,plain,(
% 51.34/6.77    ~'>='(c,'+'('==>'(a,c),a))|~spl0_2|spl0_1),
% 51.34/6.77    inference(resolution,[status(thm)],[f3607,f734])).
% 51.34/6.77  fof(f37347,plain,(
% 51.34/6.77    ~'>='(c,'+'(a,'==>'(a,c)))|~spl0_2|spl0_1),
% 51.34/6.77    inference(forward_demodulation,[status(thm)],[f16,f37346])).
% 51.34/6.77  fof(f37348,plain,(
% 51.34/6.77    ~'>='(c,'+'(c,'==>'(c,a)))|~spl0_2|spl0_1),
% 51.34/6.77    inference(forward_demodulation,[status(thm)],[f38,f37347])).
% 51.34/6.77  fof(f37349,plain,(
% 51.34/6.77    ~'>='(c,'+'(c,'0'))|~spl0_5|~spl0_0|~spl0_2|spl0_1),
% 51.34/6.77    inference(forward_demodulation,[status(thm)],[f25538,f37348])).
% 51.34/6.77  fof(f37350,plain,(
% 51.34/6.77    ~'>='(c,c)|~spl0_5|~spl0_0|~spl0_2|spl0_1),
% 51.34/6.77    inference(forward_demodulation,[status(thm)],[f17,f37349])).
% 51.34/6.77  fof(f37351,plain,(
% 51.34/6.77    $false|~spl0_5|~spl0_0|~spl0_2|spl0_1),
% 51.34/6.77    inference(forward_subsumption_resolution,[status(thm)],[f37350,f18])).
% 51.34/6.77  fof(f37352,plain,(
% 51.34/6.77    ~spl0_5|~spl0_0|~spl0_2|spl0_1),
% 51.34/6.77    inference(contradiction_clause,[status(thm)],[f37351])).
% 51.34/6.77  fof(f37353,plain,(
% 51.34/6.77    $false),
% 51.34/6.77    inference(sat_refutation,[status(thm)],[f50,f54,f55,f517,f548,f577,f581,f772,f1163,f1189,f1222,f3401,f4755,f6010,f9530,f9902,f9989,f10060,f11174,f14180,f14259,f15909,f17214,f18044,f21782,f21789,f22057,f22740,f23365,f23531,f23544,f24734,f25656,f25665,f25675,f25681,f28430,f29094,f29149,f29408,f30197,f36738,f37352])).
% 51.34/6.77  % SZS output end CNFRefutation for theBenchmark.p
% 51.63/6.80  % Elapsed time: 6.522494 seconds
% 51.63/6.80  % CPU time: 51.652609 seconds
% 51.63/6.80  % Memory used: 387.436 MB
%------------------------------------------------------------------------------