TSTP Solution File: LCL894+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n020.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 : Tue Apr 30 20:28:20 EDT 2024
% Result : Theorem 247.42s 31.56s
% Output : CNFRefutation 248.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL894+1 : TPTP v8.1.2. Released v5.5.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:26:02 EDT 2024
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.6.0
% 247.42/31.56 % Refutation found
% 247.42/31.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 247.42/31.56 % SZS output start CNFRefutation for theBenchmark
% 247.42/31.56 fof(f1,axiom,(
% 247.42/31.56 (! [A,B,C] : '+'('+'(A,B),C) = '+'(A,'+'(B,C)) )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f2,axiom,(
% 247.42/31.56 (! [A,B] : '+'(A,B) = '+'(B,A) )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f3,axiom,(
% 247.42/31.56 (! [A] : '+'(A,'0') = A )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f4,axiom,(
% 247.42/31.56 (! [A] : '>='(A,A) )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f5,axiom,(
% 247.42/31.56 (! [X0,X1,X2] :( ( '>='(X0,X1)& '>='(X1,X2) )=> '>='(X0,X2) ) )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f6,axiom,(
% 247.42/31.56 (! [X3,X4] :( ( '>='(X3,X4)& '>='(X4,X3) )=> X3 = X4 ) )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f7,axiom,(
% 247.42/31.56 (! [X5,X6,X7] :( '>='('+'(X5,X6),X7)<=> '>='(X6,'==>'(X5,X7)) ) )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f8,axiom,(
% 247.42/31.56 (! [A] : '>='(A,'0') )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f9,axiom,(
% 247.42/31.56 (! [X8,X9,X10] :( '>='(X8,X9)=> '>='('+'(X8,X10),'+'(X9,X10)) ) )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f10,axiom,(
% 247.42/31.56 (! [X11,X12,X13] :( '>='(X11,X12)=> '>='('==>'(X12,X13),'==>'(X11,X13)) ) )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f11,axiom,(
% 247.42/31.56 (! [X14,X15,X16] :( '>='(X14,X15)=> '>='('==>'(X16,X14),'==>'(X16,X15)) ) )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f12,axiom,(
% 247.42/31.56 (! [A,B] : '+'(A,'==>'(A,B)) = '+'(B,'==>'(B,A)) )),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f13,conjecture,(
% 247.42/31.56 ( ( '>='(c,a)& '>='(c,b) )<=> '>='(c,'+'(a,'==>'(a,b))) ) ),
% 247.42/31.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 247.42/31.56 fof(f14,negated_conjecture,(
% 247.42/31.56 ~(( ( '>='(c,a)& '>='(c,b) )<=> '>='(c,'+'(a,'==>'(a,b))) ) )),
% 247.42/31.56 inference(negated_conjecture,[status(cth)],[f13])).
% 247.42/31.56 fof(f15,plain,(
% 247.42/31.56 ![X0,X1,X2]: ('+'('+'(X0,X1),X2)='+'(X0,'+'(X1,X2)))),
% 247.42/31.56 inference(cnf_transformation,[status(esa)],[f1])).
% 247.42/31.56 fof(f16,plain,(
% 247.42/31.56 ![X0,X1]: ('+'(X0,X1)='+'(X1,X0))),
% 247.42/31.56 inference(cnf_transformation,[status(esa)],[f2])).
% 247.42/31.56 fof(f17,plain,(
% 247.42/31.56 ![X0]: ('+'(X0,'0')=X0)),
% 247.42/31.56 inference(cnf_transformation,[status(esa)],[f3])).
% 247.42/31.56 fof(f18,plain,(
% 247.42/31.56 ![X0]: ('>='(X0,X0))),
% 247.42/31.56 inference(cnf_transformation,[status(esa)],[f4])).
% 247.42/31.56 fof(f19,plain,(
% 247.42/31.56 ![X0,X1,X2]: ((~'>='(X0,X1)|~'>='(X1,X2))|'>='(X0,X2))),
% 247.42/31.56 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 247.42/31.56 fof(f20,plain,(
% 247.42/31.56 ![X0,X2]: ((![X1]: (~'>='(X0,X1)|~'>='(X1,X2)))|'>='(X0,X2))),
% 247.42/31.56 inference(miniscoping,[status(esa)],[f19])).
% 247.42/31.56 fof(f21,plain,(
% 247.42/31.56 ![X0,X1,X2]: (~'>='(X0,X1)|~'>='(X1,X2)|'>='(X0,X2))),
% 247.42/31.56 inference(cnf_transformation,[status(esa)],[f20])).
% 247.42/31.56 fof(f22,plain,(
% 247.42/31.56 ![X3,X4]: ((~'>='(X3,X4)|~'>='(X4,X3))|X3=X4)),
% 247.42/31.56 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 247.42/31.56 fof(f23,plain,(
% 247.42/31.56 ![X0,X1]: (~'>='(X0,X1)|~'>='(X1,X0)|X0=X1)),
% 247.42/31.56 inference(cnf_transformation,[status(esa)],[f22])).
% 247.42/31.56 fof(f24,plain,(
% 247.42/31.56 ![X5,X6,X7]: ((~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7)))&('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 247.42/31.56 inference(NNF_transformation,[status(esa)],[f7])).
% 247.42/31.56 fof(f25,plain,(
% 247.42/31.56 (![X5,X6,X7]: (~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7))))&(![X5,X6,X7]: ('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 247.42/31.56 inference(miniscoping,[status(esa)],[f24])).
% 247.42/31.56 fof(f26,plain,(
% 247.42/31.56 ![X0,X1,X2]: (~'>='('+'(X0,X1),X2)|'>='(X1,'==>'(X0,X2)))),
% 247.42/31.56 inference(cnf_transformation,[status(esa)],[f25])).
% 247.42/31.56 fof(f27,plain,(
% 247.42/31.56 ![X0,X1,X2]: ('>='('+'(X0,X1),X2)|~'>='(X1,'==>'(X0,X2)))),
% 247.42/31.56 inference(cnf_transformation,[status(esa)],[f25])).
% 247.42/31.56 fof(f28,plain,(
% 247.42/31.56 ![X0]: ('>='(X0,'0'))),
% 247.42/31.56 inference(cnf_transformation,[status(esa)],[f8])).
% 247.42/31.56 fof(f29,plain,(
% 247.42/31.56 ![X8,X9,X10]: (~'>='(X8,X9)|'>='('+'(X8,X10),'+'(X9,X10)))),
% 247.42/31.56 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 247.42/31.56 fof(f30,plain,(
% 247.42/31.56 ![X8,X9]: (~'>='(X8,X9)|(![X10]: '>='('+'(X8,X10),'+'(X9,X10))))),
% 247.42/31.56 inference(miniscoping,[status(esa)],[f29])).
% 247.42/31.56 fof(f31,plain,(
% 247.42/31.56 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('+'(X0,X2),'+'(X1,X2)))),
% 247.42/31.57 inference(cnf_transformation,[status(esa)],[f30])).
% 247.42/31.57 fof(f32,plain,(
% 247.42/31.57 ![X11,X12,X13]: (~'>='(X11,X12)|'>='('==>'(X12,X13),'==>'(X11,X13)))),
% 247.42/31.57 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 247.42/31.57 fof(f33,plain,(
% 247.42/31.57 ![X11,X12]: (~'>='(X11,X12)|(![X13]: '>='('==>'(X12,X13),'==>'(X11,X13))))),
% 247.42/31.57 inference(miniscoping,[status(esa)],[f32])).
% 247.42/31.57 fof(f34,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('==>'(X1,X2),'==>'(X0,X2)))),
% 247.42/31.57 inference(cnf_transformation,[status(esa)],[f33])).
% 247.42/31.57 fof(f35,plain,(
% 247.42/31.57 ![X14,X15,X16]: (~'>='(X14,X15)|'>='('==>'(X16,X14),'==>'(X16,X15)))),
% 247.42/31.57 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 247.42/31.57 fof(f36,plain,(
% 247.42/31.57 ![X14,X15]: (~'>='(X14,X15)|(![X16]: '>='('==>'(X16,X14),'==>'(X16,X15))))),
% 247.42/31.57 inference(miniscoping,[status(esa)],[f35])).
% 247.42/31.57 fof(f37,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('==>'(X2,X0),'==>'(X2,X1)))),
% 247.42/31.57 inference(cnf_transformation,[status(esa)],[f36])).
% 247.42/31.57 fof(f38,plain,(
% 247.42/31.57 ![X0,X1]: ('+'(X0,'==>'(X0,X1))='+'(X1,'==>'(X1,X0)))),
% 247.42/31.57 inference(cnf_transformation,[status(esa)],[f12])).
% 247.42/31.57 fof(f39,plain,(
% 247.42/31.57 (('>='(c,a)&'>='(c,b))<~>'>='(c,'+'(a,'==>'(a,b))))),
% 247.42/31.57 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 247.42/31.57 fof(f40,plain,(
% 247.42/31.57 (('>='(c,a)&'>='(c,b))|'>='(c,'+'(a,'==>'(a,b))))&((~'>='(c,a)|~'>='(c,b))|~'>='(c,'+'(a,'==>'(a,b))))),
% 247.42/31.57 inference(NNF_transformation,[status(esa)],[f39])).
% 247.42/31.57 fof(f41,plain,(
% 247.42/31.57 '>='(c,a)|'>='(c,'+'(a,'==>'(a,b)))),
% 247.42/31.57 inference(cnf_transformation,[status(esa)],[f40])).
% 247.42/31.57 fof(f42,plain,(
% 247.42/31.57 '>='(c,b)|'>='(c,'+'(a,'==>'(a,b)))),
% 247.42/31.57 inference(cnf_transformation,[status(esa)],[f40])).
% 247.42/31.57 fof(f43,plain,(
% 247.42/31.57 ~'>='(c,a)|~'>='(c,b)|~'>='(c,'+'(a,'==>'(a,b)))),
% 247.42/31.57 inference(cnf_transformation,[status(esa)],[f40])).
% 247.42/31.57 fof(f44,plain,(
% 247.42/31.57 spl0_0 <=> '>='(c,a)),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f45,plain,(
% 247.42/31.57 '>='(c,a)|~spl0_0),
% 247.42/31.57 inference(component_clause,[status(thm)],[f44])).
% 247.42/31.57 fof(f46,plain,(
% 247.42/31.57 ~'>='(c,a)|spl0_0),
% 247.42/31.57 inference(component_clause,[status(thm)],[f44])).
% 247.42/31.57 fof(f47,plain,(
% 247.42/31.57 spl0_1 <=> '>='(c,'+'(a,'==>'(a,b)))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f48,plain,(
% 247.42/31.57 '>='(c,'+'(a,'==>'(a,b)))|~spl0_1),
% 247.42/31.57 inference(component_clause,[status(thm)],[f47])).
% 247.42/31.57 fof(f49,plain,(
% 247.42/31.57 ~'>='(c,'+'(a,'==>'(a,b)))|spl0_1),
% 247.42/31.57 inference(component_clause,[status(thm)],[f47])).
% 247.42/31.57 fof(f50,plain,(
% 247.42/31.57 spl0_0|spl0_1),
% 247.42/31.57 inference(split_clause,[status(thm)],[f41,f44,f47])).
% 247.42/31.57 fof(f51,plain,(
% 247.42/31.57 spl0_2 <=> '>='(c,b)),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f52,plain,(
% 247.42/31.57 '>='(c,b)|~spl0_2),
% 247.42/31.57 inference(component_clause,[status(thm)],[f51])).
% 247.42/31.57 fof(f53,plain,(
% 247.42/31.57 ~'>='(c,b)|spl0_2),
% 247.42/31.57 inference(component_clause,[status(thm)],[f51])).
% 247.42/31.57 fof(f54,plain,(
% 247.42/31.57 spl0_2|spl0_1),
% 247.42/31.57 inference(split_clause,[status(thm)],[f42,f51,f47])).
% 247.42/31.57 fof(f55,plain,(
% 247.42/31.57 ~spl0_0|~spl0_2|~spl0_1),
% 247.42/31.57 inference(split_clause,[status(thm)],[f43,f44,f51,f47])).
% 247.42/31.57 fof(f58,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='(X0,X1)|~'>='(X1,X2)|~'>='(X2,X0)|X2=X0)),
% 247.42/31.57 inference(resolution,[status(thm)],[f21,f23])).
% 247.42/31.57 fof(f59,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'(X1,'+'(X2,X0)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f15])).
% 247.42/31.57 fof(f66,plain,(
% 247.42/31.57 ![X0,X1,X2,X3]: ('>='(X0,'==>'(X1,X2))|~'>='('+'(X1,X0),X3)|~'>='(X3,X2))),
% 247.42/31.57 inference(resolution,[status(thm)],[f26,f21])).
% 247.42/31.57 fof(f67,plain,(
% 247.42/31.57 ![X0,X1]: ('>='(X0,'==>'(X1,'+'(X1,X0))))),
% 247.42/31.57 inference(resolution,[status(thm)],[f26,f18])).
% 247.42/31.57 fof(f69,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='('+'(X0,X1),X2)|'>='(X0,'==>'(X1,X2)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f26])).
% 247.42/31.57 fof(f75,plain,(
% 247.42/31.57 ![X0,X1]: ('>='(X0,'==>'(X1,'+'(X0,X1))))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f67])).
% 247.42/31.57 fof(f78,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='(X0,X1)|'>='(X0,'==>'(X2,'+'(X1,X2))))),
% 247.42/31.57 inference(resolution,[status(thm)],[f75,f21])).
% 247.42/31.57 fof(f84,plain,(
% 247.42/31.57 ![X0,X1,X2,X3]: (~'>='(X0,X1)|~'>='(X2,'+'(X0,X3))|'>='(X2,'+'(X1,X3)))),
% 247.42/31.57 inference(resolution,[status(thm)],[f31,f21])).
% 247.42/31.57 fof(f87,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('+'(X2,X0),'+'(X1,X2)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f31])).
% 247.42/31.57 fof(f92,plain,(
% 247.42/31.57 ![X0,X1,X2,X3]: (~'>='(X0,X1)|~'>='(X2,'==>'(X1,X3))|'>='(X2,'==>'(X0,X3)))),
% 247.42/31.57 inference(resolution,[status(thm)],[f34,f21])).
% 247.42/31.57 fof(f93,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='(X0,X1)|~'>='('==>'(X0,X2),'==>'(X1,X2))|'==>'(X0,X2)='==>'(X1,X2))),
% 247.42/31.57 inference(resolution,[status(thm)],[f34,f23])).
% 247.42/31.57 fof(f95,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='(X0,X1)|~'>='('==>'(X2,X1),'==>'(X2,X0))|'==>'(X2,X1)='==>'(X2,X0))),
% 247.42/31.57 inference(resolution,[status(thm)],[f37,f23])).
% 247.42/31.57 fof(f123,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='('==>'(X0,'+'(X0,X1)),X2)|~'>='(X2,X1)|X1='==>'(X0,'+'(X0,X1)))),
% 247.42/31.57 inference(resolution,[status(thm)],[f58,f67])).
% 247.42/31.57 fof(f134,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'(X2,'+'(X1,X0)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f59])).
% 247.42/31.57 fof(f138,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'('+'(X2,X0),X1))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f59])).
% 247.42/31.57 fof(f141,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('+'('==>'(X0,X1),'+'(X2,X0))='+'(X2,'+'(X1,'==>'(X1,X0))))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f38,f59])).
% 247.42/31.57 fof(f172,plain,(
% 247.42/31.57 ![X0,X1,X2,X3]: ('>='('+'(X0,'+'(X1,X2)),X3)|~'>='('+'(X2,X0),'==>'(X1,X3)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f59,f27])).
% 247.42/31.57 fof(f174,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='('+'(X0,X1),X2)|~'>='(X0,'==>'(X1,X2)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f27])).
% 247.42/31.57 fof(f325,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'(X0,'+'(X2,X1)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f59,f134])).
% 247.42/31.57 fof(f420,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'('+'(X0,X2),X1))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f138])).
% 247.42/31.57 fof(f455,plain,(
% 247.42/31.57 ![X0]: ('+'('0',X0)=X0)),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f17])).
% 247.42/31.57 fof(f472,plain,(
% 247.42/31.57 ![X0,X1]: ('>='(X0,X1)|~'>='('0','==>'(X0,X1)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f17,f27])).
% 247.42/31.57 fof(f486,plain,(
% 247.42/31.57 spl0_3 <=> '>='('0','0')),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f488,plain,(
% 247.42/31.57 ~'>='('0','0')|spl0_3),
% 247.42/31.57 inference(component_clause,[status(thm)],[f486])).
% 247.42/31.57 fof(f489,plain,(
% 247.42/31.57 spl0_4 <=> '0'='0'),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f492,plain,(
% 247.42/31.57 ~'>='('0','0')|'0'='0'),
% 247.42/31.57 inference(resolution,[status(thm)],[f28,f58])).
% 247.42/31.57 fof(f493,plain,(
% 247.42/31.57 ~spl0_3|spl0_4),
% 247.42/31.57 inference(split_clause,[status(thm)],[f492,f486,f489])).
% 247.42/31.57 fof(f500,plain,(
% 247.42/31.57 $false|spl0_3),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f488,f28])).
% 247.42/31.57 fof(f501,plain,(
% 247.42/31.57 spl0_3),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f500])).
% 247.42/31.57 fof(f503,plain,(
% 247.42/31.57 ![X0]: (~'>='(c,X0)|~'>='(X0,a)|spl0_0)),
% 247.42/31.57 inference(resolution,[status(thm)],[f46,f21])).
% 247.42/31.57 fof(f531,plain,(
% 247.42/31.57 '>='(c,'+'('==>'(a,b),a))|~spl0_1),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f16,f48])).
% 247.42/31.57 fof(f534,plain,(
% 247.42/31.57 ~'>='('+'('==>'(a,b),a),a)|~spl0_1|spl0_0),
% 247.42/31.57 inference(resolution,[status(thm)],[f531,f503])).
% 247.42/31.57 fof(f641,plain,(
% 247.42/31.57 spl0_11 <=> '>='(c,c)),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f643,plain,(
% 247.42/31.57 ~'>='(c,c)|spl0_11),
% 247.42/31.57 inference(component_clause,[status(thm)],[f641])).
% 247.42/31.57 fof(f669,plain,(
% 247.42/31.57 spl0_16 <=> '>='('+'('==>'(a,b),a),'+'('==>'(a,b),a))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f671,plain,(
% 247.42/31.57 ~'>='('+'('==>'(a,b),a),'+'('==>'(a,b),a))|spl0_16),
% 247.42/31.57 inference(component_clause,[status(thm)],[f669])).
% 247.42/31.57 fof(f687,plain,(
% 247.42/31.57 $false|spl0_16),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f671,f18])).
% 247.42/31.57 fof(f688,plain,(
% 247.42/31.57 spl0_16),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f687])).
% 247.42/31.57 fof(f689,plain,(
% 247.42/31.57 $false|spl0_11),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f643,f18])).
% 247.42/31.57 fof(f690,plain,(
% 247.42/31.57 spl0_11),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f689])).
% 247.42/31.57 fof(f691,plain,(
% 247.42/31.57 ~'>='(c,'+'('==>'(a,b),a))|spl0_1),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f16,f49])).
% 247.42/31.57 fof(f693,plain,(
% 247.42/31.57 ![X0]: (~'>='(c,X0)|~'>='(X0,'+'('==>'(a,b),a))|spl0_1)),
% 247.42/31.57 inference(resolution,[status(thm)],[f691,f21])).
% 247.42/31.57 fof(f726,plain,(
% 247.42/31.57 ![X0]: (~'>='(X0,c)|'>='(X0,b)|~spl0_2)),
% 247.42/31.57 inference(resolution,[status(thm)],[f52,f21])).
% 247.42/31.57 fof(f747,plain,(
% 247.42/31.57 spl0_25 <=> '>='(a,a)),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f749,plain,(
% 247.42/31.57 ~'>='(a,a)|spl0_25),
% 247.42/31.57 inference(component_clause,[status(thm)],[f747])).
% 247.42/31.57 fof(f761,plain,(
% 247.42/31.57 $false|spl0_25),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f749,f18])).
% 247.42/31.57 fof(f762,plain,(
% 247.42/31.57 spl0_25),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f761])).
% 247.42/31.57 fof(f773,plain,(
% 247.42/31.57 ![X0,X1]: (~'>='('+'(X0,X1),c)|'>='(X1,'==>'(X0,b))|~spl0_2)),
% 247.42/31.57 inference(resolution,[status(thm)],[f726,f26])).
% 247.42/31.57 fof(f783,plain,(
% 247.42/31.57 spl0_28 <=> '>='(b,b)),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f785,plain,(
% 247.42/31.57 ~'>='(b,b)|spl0_28),
% 247.42/31.57 inference(component_clause,[status(thm)],[f783])).
% 247.42/31.57 fof(f797,plain,(
% 247.42/31.57 $false|spl0_28),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f785,f18])).
% 247.42/31.57 fof(f798,plain,(
% 247.42/31.57 spl0_28),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f797])).
% 247.42/31.57 fof(f901,plain,(
% 247.42/31.57 ![X0,X1]: (~'>='(X0,'0')|'>='('+'(X1,X0),X1))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f455,f87])).
% 247.42/31.57 fof(f902,plain,(
% 247.42/31.57 ![X0,X1]: ('>='('+'(X0,X1),X0))),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f901,f28])).
% 247.42/31.57 fof(f906,plain,(
% 247.42/31.57 ![X0,X1]: (~'>='(X0,'0')|'>='(X0,'==>'(X1,X1)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f455,f78])).
% 247.42/31.57 fof(f907,plain,(
% 247.42/31.57 ![X0,X1]: ('>='(X0,'==>'(X1,X1)))),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f906,f28])).
% 247.42/31.57 fof(f914,plain,(
% 247.42/31.57 ![X0,X1]: (~'>='(X0,'0')|'>='('+'(X0,X1),X1))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f455,f31])).
% 247.42/31.57 fof(f915,plain,(
% 247.42/31.57 ![X0,X1]: ('>='('+'(X0,X1),X1))),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f914,f28])).
% 247.42/31.57 fof(f933,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='('+'(X0,'+'(X1,X2)),'+'(X2,X0)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f138,f902])).
% 247.42/31.57 fof(f1083,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='(X0,'==>'(X1,X2))|~'>='(X1,X2))),
% 247.42/31.57 inference(resolution,[status(thm)],[f66,f902])).
% 247.42/31.57 fof(f1227,plain,(
% 247.42/31.57 ![X0,X1,X2,X3]: (~'>='(X0,X1)|'>='(X2,'==>'(X3,'==>'(X0,X1))))),
% 247.42/31.57 inference(resolution,[status(thm)],[f1083,f26])).
% 247.42/31.57 fof(f1345,plain,(
% 247.42/31.57 $false|~spl0_1|spl0_0),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f534,f915])).
% 247.42/31.57 fof(f1346,plain,(
% 247.42/31.57 ~spl0_1|spl0_0),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f1345])).
% 247.42/31.57 fof(f1355,plain,(
% 247.42/31.57 ![X0]: (~'>='(c,X0)|~'>='(X0,b)|spl0_2)),
% 247.42/31.57 inference(resolution,[status(thm)],[f53,f21])).
% 247.42/31.57 fof(f1388,plain,(
% 247.42/31.57 ~'>='('+'('==>'(a,b),a),b)|spl0_2|~spl0_1),
% 247.42/31.57 inference(resolution,[status(thm)],[f1355,f531])).
% 247.42/31.57 fof(f1719,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='('+'(X0,X1),'==>'(X2,'+'(X1,X2))))),
% 247.42/31.57 inference(resolution,[status(thm)],[f933,f26])).
% 247.42/31.57 fof(f1738,plain,(
% 247.42/31.57 ![X0,X1]: ('>='('+'(X0,X1),'+'(X1,X0)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f455,f933])).
% 247.42/31.57 fof(f2165,plain,(
% 247.42/31.57 ![X0,X1]: ('>='('+'(X0,X1),'==>'('0',X1)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f17,f1719])).
% 247.42/31.57 fof(f2301,plain,(
% 247.42/31.57 ![X0,X1]: ('>='('+'(X0,X1),'==>'('0',X0)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f2165])).
% 247.42/31.57 fof(f2582,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='(X0,'0')|'>='('+'(X1,X2),'==>'(X0,X1)))),
% 247.42/31.57 inference(resolution,[status(thm)],[f92,f2301])).
% 247.42/31.57 fof(f2583,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='('+'(X0,X1),'==>'(X2,X0)))),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f2582,f28])).
% 247.42/31.57 fof(f2611,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='(X0,X1)|'==>'(X0,X2)='==>'(X1,X2)|~'>='(X1,X0))),
% 247.42/31.57 inference(resolution,[status(thm)],[f93,f34])).
% 247.42/31.57 fof(f2621,plain,(
% 247.42/31.57 ![X0,X1]: (~'>='(X0,X1)|'==>'(X0,X1)='==>'(X1,X1))),
% 247.42/31.57 inference(resolution,[status(thm)],[f93,f907])).
% 247.42/31.57 fof(f3020,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='('+'(X0,'==>'(X0,X1)),'==>'(X2,X1)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f38,f2583])).
% 247.42/31.57 fof(f3115,plain,(
% 247.42/31.57 ![X0,X1]: (~'>='(X0,X1)|'==>'(X0,X1)='==>'(X0,X0))),
% 247.42/31.57 inference(resolution,[status(thm)],[f95,f907])).
% 247.42/31.57 fof(f3122,plain,(
% 247.42/31.57 '==>'(c,a)='==>'(a,a)|~spl0_0),
% 247.42/31.57 inference(resolution,[status(thm)],[f2621,f45])).
% 247.42/31.57 fof(f3154,plain,(
% 247.42/31.57 ![X0]: ('==>'(X0,'0')='==>'('0','0'))),
% 247.42/31.57 inference(resolution,[status(thm)],[f2621,f28])).
% 247.42/31.57 fof(f3291,plain,(
% 247.42/31.57 ![X0,X1]: ('==>'(X0,'0')='==>'(X1,'0'))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3154,f3154])).
% 247.42/31.57 fof(f3309,plain,(
% 247.42/31.57 spl0_39 <=> '>='(X0,'==>'('0','0'))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f3312,plain,(
% 247.42/31.57 spl0_40 <=> ~'>='(X1,'0')),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f3313,plain,(
% 247.42/31.57 ![X0]: (~'>='(X0,'0')|~spl0_40)),
% 247.42/31.57 inference(component_clause,[status(thm)],[f3312])).
% 247.42/31.57 fof(f3315,plain,(
% 247.42/31.57 ![X0,X1]: ('>='(X0,'==>'('0','0'))|~'>='(X1,'0'))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3154,f1083])).
% 247.42/31.57 fof(f3316,plain,(
% 247.42/31.57 spl0_39|spl0_40),
% 247.42/31.57 inference(split_clause,[status(thm)],[f3315,f3309,f3312])).
% 247.42/31.57 fof(f3340,plain,(
% 247.42/31.57 spl0_41 <=> '>='(X0,'==>'(X1,'0'))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f3343,plain,(
% 247.42/31.57 ![X0,X1]: ('>='(X0,'==>'(X1,'0'))|~'>='('0','0'))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3154,f1083])).
% 247.42/31.57 fof(f3344,plain,(
% 247.42/31.57 spl0_41|~spl0_3),
% 247.42/31.57 inference(split_clause,[status(thm)],[f3343,f3340,f486])).
% 247.42/31.57 fof(f3419,plain,(
% 247.42/31.57 $false|~spl0_40),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f3313,f28])).
% 247.42/31.57 fof(f3420,plain,(
% 247.42/31.57 ~spl0_40),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f3419])).
% 247.42/31.57 fof(f3699,plain,(
% 247.42/31.57 ![X0]: ('==>'(X0,'0')='==>'(X0,X0))),
% 247.42/31.57 inference(resolution,[status(thm)],[f3115,f28])).
% 247.42/31.57 fof(f3717,plain,(
% 247.42/31.57 ![X0,X1]: ('==>'(X0,'==>'(X1,X1))='==>'(X0,X0))),
% 247.42/31.57 inference(resolution,[status(thm)],[f3115,f907])).
% 247.42/31.57 fof(f3721,plain,(
% 247.42/31.57 ![X0,X1]: ('==>'(X0,'0')='==>'(X1,X1))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3291,f3699])).
% 247.42/31.57 fof(f3795,plain,(
% 247.42/31.57 ![X0,X1]: ('==>'(X0,X0)='==>'(X1,X1))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3721,f3721])).
% 247.42/31.57 fof(f3823,plain,(
% 247.42/31.57 spl0_42 <=> '>='(X0,'==>'(X1,X1))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f3826,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='(X0,'==>'(X1,X1))|~'>='(X2,'0'))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3721,f1083])).
% 247.42/31.57 fof(f3827,plain,(
% 247.42/31.57 spl0_42|spl0_40),
% 247.42/31.57 inference(split_clause,[status(thm)],[f3826,f3823,f3312])).
% 247.42/31.57 fof(f3874,plain,(
% 247.42/31.57 spl0_43 <=> ~'>='(X2,X2)),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f3875,plain,(
% 247.42/31.57 ![X0]: (~'>='(X0,X0)|~spl0_43)),
% 247.42/31.57 inference(component_clause,[status(thm)],[f3874])).
% 247.42/31.57 fof(f4005,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('==>'(X0,'==>'(X1,X1))='==>'(X2,'0'))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3721,f3717])).
% 247.42/31.57 fof(f4195,plain,(
% 247.42/31.57 spl0_45 <=> '>='(X0,'==>'(X1,'==>'(X2,X2)))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f4208,plain,(
% 247.42/31.57 $false|~spl0_43),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f3875,f18])).
% 247.42/31.57 fof(f4209,plain,(
% 247.42/31.57 ~spl0_43),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f4208])).
% 247.42/31.57 fof(f4330,plain,(
% 247.42/31.57 ![X0]: ('==>'(c,a)='==>'(X0,X0)|~spl0_0)),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3795,f3122])).
% 247.42/31.57 fof(f5229,plain,(
% 247.42/31.57 ![X0,X1,X2,X3]: ('>='(X0,'==>'(X1,'==>'(X2,X2)))|~'>='(X3,'0'))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f4005,f1083])).
% 247.42/31.57 fof(f5230,plain,(
% 247.42/31.57 spl0_45|spl0_40),
% 247.42/31.57 inference(split_clause,[status(thm)],[f5229,f4195,f3312])).
% 247.42/31.57 fof(f7881,plain,(
% 247.42/31.57 spl0_72 <=> '>='(a,'0')),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f7883,plain,(
% 247.42/31.57 ~'>='(a,'0')|spl0_72),
% 247.42/31.57 inference(component_clause,[status(thm)],[f7881])).
% 247.42/31.57 fof(f7917,plain,(
% 247.42/31.57 $false|spl0_72),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f7883,f28])).
% 247.42/31.57 fof(f7918,plain,(
% 247.42/31.57 spl0_72),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f7917])).
% 247.42/31.57 fof(f8284,plain,(
% 247.42/31.57 ~'>='('==>'(a,b),'==>'(a,b))|spl0_2|~spl0_1),
% 247.42/31.57 inference(resolution,[status(thm)],[f174,f1388])).
% 247.42/31.57 fof(f8285,plain,(
% 247.42/31.57 $false|spl0_2|~spl0_1),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f8284,f18])).
% 247.42/31.57 fof(f8286,plain,(
% 247.42/31.57 spl0_2|~spl0_1),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f8285])).
% 247.42/31.57 fof(f8538,plain,(
% 247.42/31.57 spl0_77 <=> ~'>='('0','==>'(X0,X0))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f8539,plain,(
% 247.42/31.57 ![X0]: (~'>='('0','==>'(X0,X0))|~spl0_77)),
% 247.42/31.57 inference(component_clause,[status(thm)],[f8538])).
% 247.42/31.57 fof(f8554,plain,(
% 247.42/31.57 spl0_78 <=> '>='(X0,'0')),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f8572,plain,(
% 247.42/31.57 ![X0,X1]: ('>='(X0,'0')|~'>='('0','==>'(X1,X1)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3721,f472])).
% 247.42/31.57 fof(f8573,plain,(
% 247.42/31.57 spl0_78|spl0_77),
% 247.42/31.57 inference(split_clause,[status(thm)],[f8572,f8554,f8538])).
% 247.42/31.57 fof(f8578,plain,(
% 247.42/31.57 spl0_82 <=> '>='(X0,X0)),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f8587,plain,(
% 247.42/31.57 ![X0,X1]: ('>='(X0,X0)|~'>='('0','==>'(X1,X1)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3795,f472])).
% 247.42/31.57 fof(f8588,plain,(
% 247.42/31.57 spl0_82|spl0_77),
% 247.42/31.57 inference(split_clause,[status(thm)],[f8587,f8578,f8538])).
% 247.42/31.57 fof(f10722,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('+'('+'(X0,X1),X2)='+'(X2,'+'(X1,X0)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f16,f325])).
% 247.42/31.57 fof(f12410,plain,(
% 247.42/31.57 spl0_98 <=> '>='(X0,'==>'(X1,'==>'(X2,'0')))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f12428,plain,(
% 247.42/31.57 spl0_99 <=> '>='(X1,'==>'(X2,'==>'(X3,'==>'(X4,X4))))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f12431,plain,(
% 247.42/31.57 ![X0,X1,X2,X3,X4]: (~'>='(X0,'0')|'>='(X1,'==>'(X2,'==>'(X3,'==>'(X4,X4)))))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f4005,f1227])).
% 247.42/31.57 fof(f12432,plain,(
% 247.42/31.57 spl0_40|spl0_99),
% 247.42/31.57 inference(split_clause,[status(thm)],[f12431,f3312,f12428])).
% 247.42/31.57 fof(f12435,plain,(
% 247.42/31.57 ![X0,X1,X2,X3]: (~'>='(X0,'0')|'>='(X1,'==>'(X2,'==>'(X3,'0'))))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3291,f1227])).
% 247.42/31.57 fof(f12436,plain,(
% 247.42/31.57 spl0_40|spl0_98),
% 247.42/31.57 inference(split_clause,[status(thm)],[f12435,f3312,f12410])).
% 247.42/31.57 fof(f17881,plain,(
% 247.42/31.57 ![X0,X1]: (~'>='(c,X0)|~'>='(X1,'==>'(a,b))|~'>='(X0,'+'(X1,a))|spl0_1)),
% 247.42/31.57 inference(resolution,[status(thm)],[f693,f84])).
% 247.42/31.57 fof(f23368,plain,(
% 247.42/31.57 ![X0,X1]: ('+'('==>'(X0,X1),'+'('0',X0))='+'(X1,'==>'(X1,X0)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f455,f141])).
% 247.42/31.57 fof(f23369,plain,(
% 247.42/31.57 ![X0,X1]: ('+'('==>'(X0,X1),X0)='+'(X1,'==>'(X1,X0)))),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f455,f23368])).
% 247.42/31.57 fof(f27337,plain,(
% 247.42/31.57 ![X0,X1]: ('+'('==>'(X0,X0),X1)='+'(X1,'==>'(X1,X1)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3795,f23369])).
% 247.42/31.57 fof(f28046,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('+'('==>'(X0,X0),X1)='+'(X1,'==>'(X2,X2)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3795,f27337])).
% 247.42/31.57 fof(f35678,plain,(
% 247.42/31.57 spl0_146 <=> ~'>='(b,X1)),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f35679,plain,(
% 247.42/31.57 ![X0]: (~'>='(b,X0)|~spl0_146)),
% 247.42/31.57 inference(component_clause,[status(thm)],[f35678])).
% 247.42/31.57 fof(f37845,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='('+'('==>'(X0,X1),'+'(X2,X0)),X1))),
% 247.42/31.57 inference(resolution,[status(thm)],[f172,f3020])).
% 247.42/31.57 fof(f37846,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='('+'('+'(X0,X1),'==>'(X0,X2)),X2))),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f10722,f37845])).
% 247.42/31.57 fof(f38022,plain,(
% 247.42/31.57 ![X0,X1]: ('>='('==>'(X0,c),'==>'('+'(X0,X1),b))|~spl0_2)),
% 247.42/31.57 inference(resolution,[status(thm)],[f37846,f773])).
% 247.42/31.57 fof(f38027,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='('+'(X0,X1),'==>'('==>'(X0,X2),X2)))),
% 247.42/31.57 inference(resolution,[status(thm)],[f37846,f69])).
% 247.42/31.57 fof(f38388,plain,(
% 247.42/31.57 ![X0,X1]: ('>='(X0,'==>'('==>'(X0,X1),X1)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f17,f38027])).
% 247.42/31.57 fof(f38480,plain,(
% 247.42/31.57 ![X0]: ('>='('==>'('0',X0),X0))),
% 247.42/31.57 inference(resolution,[status(thm)],[f38388,f472])).
% 247.42/31.57 fof(f38574,plain,(
% 247.42/31.57 ![X0]: (~'>='('+'('0',X0),X0)|X0='==>'('0','+'('0',X0)))),
% 247.42/31.57 inference(resolution,[status(thm)],[f38480,f123])).
% 247.42/31.57 fof(f38575,plain,(
% 247.42/31.57 ![X0]: (~'>='(X0,X0)|X0='==>'('0','+'('0',X0)))),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f455,f38574])).
% 247.42/31.57 fof(f38576,plain,(
% 247.42/31.57 ![X0]: (~'>='(X0,X0)|X0='==>'('0',X0))),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f455,f38575])).
% 247.42/31.57 fof(f38577,plain,(
% 247.42/31.57 ![X0]: (X0='==>'('0',X0))),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f38576,f18])).
% 247.42/31.57 fof(f38785,plain,(
% 247.42/31.57 ![X0,X1]: ('+'('==>'(X0,X0),X1)='+'(X1,'0'))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f38577,f28046])).
% 247.42/31.57 fof(f38958,plain,(
% 247.42/31.57 ![X0]: ('==>'(X0,X0)='+'('0','0'))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f17,f38785])).
% 247.42/31.57 fof(f39459,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('+'('==>'(X0,X0),'+'(X1,X2))='+'('+'(X2,'0'),X1))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f38785,f420])).
% 247.42/31.57 fof(f39460,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('+'('==>'(X0,X0),'+'(X1,X2))='+'(X2,X1))),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f17,f39459])).
% 247.42/31.57 fof(f39836,plain,(
% 247.42/31.57 ![X0]: ('==>'(X0,'0')='+'('0','0'))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3291,f38958])).
% 247.42/31.57 fof(f39839,plain,(
% 247.42/31.57 '==>'(c,a)='+'('0','0')|~spl0_0),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f4330,f38958])).
% 247.42/31.57 fof(f39892,plain,(
% 247.42/31.57 spl0_154 <=> '>='(X2,'+'('0','0'))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f40039,plain,(
% 247.42/31.57 spl0_156 <=> '>='(X1,'==>'(X2,'+'('0','0')))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f40349,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='(X0,'0')|'>='(X1,'==>'(X2,'+'('0','0'))))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f39836,f1227])).
% 247.42/31.57 fof(f40350,plain,(
% 247.42/31.57 spl0_40|spl0_156),
% 247.42/31.57 inference(split_clause,[status(thm)],[f40349,f3312,f40039])).
% 247.42/31.57 fof(f40509,plain,(
% 247.42/31.57 ![X0,X1]: ('>='(X0,'+'('0','0'))|~'>='(X1,'0'))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f39836,f1083])).
% 247.42/31.57 fof(f40510,plain,(
% 247.42/31.57 spl0_154|spl0_40),
% 247.42/31.57 inference(split_clause,[status(thm)],[f40509,f39892,f3312])).
% 247.42/31.57 fof(f47547,plain,(
% 247.42/31.57 ![X0,X1]: ('+'('+'('0','0'),'+'(X0,X1))='+'(X1,X0))),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f38958,f39460])).
% 247.42/31.57 fof(f47548,plain,(
% 247.42/31.57 ![X0,X1]: ('+'('0','+'(X0,X1))='+'(X1,X0))),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f455,f47547])).
% 247.42/31.57 fof(f47576,plain,(
% 247.42/31.57 ![X0,X1]: ('+'('==>'(X0,X1),'+'('0',X0))='+'('==>'(X1,X0),X1))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f141,f47548])).
% 247.42/31.57 fof(f47577,plain,(
% 247.42/31.57 ![X0,X1]: ('+'('==>'(X0,X1),X0)='+'('==>'(X1,X0),X1))),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f455,f47576])).
% 247.42/31.57 fof(f67989,plain,(
% 247.42/31.57 ![X0,X1,X2]: (~'>='('+'(X0,X1),'+'(X1,X0))|'==>'('+'(X0,X1),X2)='==>'('+'(X1,X0),X2))),
% 247.42/31.57 inference(resolution,[status(thm)],[f2611,f1738])).
% 247.42/31.57 fof(f67990,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('==>'('+'(X0,X1),X2)='==>'('+'(X1,X0),X2))),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f67989,f1738])).
% 247.42/31.57 fof(f68053,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('==>'(X0,X0)='==>'('+'(X1,X2),'+'(X2,X1)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f3795,f67990])).
% 247.42/31.57 fof(f68790,plain,(
% 247.42/31.57 spl0_188 <=> '>='(X2,'==>'('+'(X3,X4),'+'(X4,X3)))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f68912,plain,(
% 247.42/31.57 spl0_190 <=> '>='(X1,'==>'(X2,'==>'('+'(X3,X4),'+'(X4,X3))))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f68915,plain,(
% 247.42/31.57 ![X0,X1,X2,X3,X4]: (~'>='(X0,X0)|'>='(X1,'==>'(X2,'==>'('+'(X3,X4),'+'(X4,X3)))))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f68053,f1227])).
% 247.42/31.57 fof(f68916,plain,(
% 247.42/31.57 spl0_43|spl0_190),
% 247.42/31.57 inference(split_clause,[status(thm)],[f68915,f3874,f68912])).
% 247.42/31.57 fof(f69012,plain,(
% 247.42/31.57 ![X0,X1,X2,X3]: ('>='(X0,'==>'('+'(X1,X2),'+'(X2,X1)))|~'>='(X3,X3))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f68053,f1083])).
% 247.42/31.57 fof(f69013,plain,(
% 247.42/31.57 spl0_188|spl0_43),
% 247.42/31.57 inference(split_clause,[status(thm)],[f69012,f68790,f3874])).
% 247.42/31.57 fof(f69324,plain,(
% 247.42/31.57 spl0_196 <=> '>='('+'(X0,X1),'+'(X1,X0))),
% 247.42/31.57 introduced(split_symbol_definition)).
% 247.42/31.57 fof(f69327,plain,(
% 247.42/31.57 ![X0,X1,X2]: ('>='('+'(X0,X1),'+'(X1,X0))|~'>='('0','==>'(X2,X2)))),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f68053,f472])).
% 247.42/31.57 fof(f69328,plain,(
% 247.42/31.57 spl0_196|spl0_77),
% 247.42/31.57 inference(split_clause,[status(thm)],[f69327,f69324,f8538])).
% 247.42/31.57 fof(f69447,plain,(
% 247.42/31.57 ~'>='('0','+'('0','0'))|~spl0_77),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f38958,f8539])).
% 247.42/31.57 fof(f69448,plain,(
% 247.42/31.57 ~'>='('0','0')|~spl0_77),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f455,f69447])).
% 247.42/31.57 fof(f69449,plain,(
% 247.42/31.57 $false|~spl0_77),
% 247.42/31.57 inference(forward_subsumption_resolution,[status(thm)],[f69448,f28])).
% 247.42/31.57 fof(f69450,plain,(
% 247.42/31.57 ~spl0_77),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f69449])).
% 247.42/31.57 fof(f73371,plain,(
% 247.42/31.57 $false|~spl0_146),
% 247.42/31.57 inference(resolution,[status(thm)],[f35679,f28])).
% 247.42/31.57 fof(f73372,plain,(
% 247.42/31.57 ~spl0_146),
% 247.42/31.57 inference(contradiction_clause,[status(thm)],[f73371])).
% 247.42/31.57 fof(f106903,plain,(
% 247.42/31.57 ![X0]: ('>='('==>'(X0,c),'==>'(X0,b))|~spl0_2)),
% 247.42/31.57 inference(paramodulation,[status(thm)],[f17,f38022])).
% 247.42/31.57 fof(f106951,plain,(
% 247.42/31.57 ![X0]: (~'>='(c,X0)|~'>='(X0,'+'('==>'(a,c),a))|~spl0_2|spl0_1)),
% 247.42/31.57 inference(resolution,[status(thm)],[f106903,f17881])).
% 247.42/31.57 fof(f106952,plain,(
% 247.42/31.57 ![X0]: (~'>='(c,X0)|~'>='(X0,'+'('==>'(c,a),c))|~spl0_2|spl0_1)),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f47577,f106951])).
% 247.42/31.57 fof(f106953,plain,(
% 247.42/31.57 ![X0]: (~'>='(c,X0)|~'>='(X0,'+'('+'('0','0'),c))|~spl0_0|~spl0_2|spl0_1)),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f39839,f106952])).
% 247.42/31.57 fof(f106954,plain,(
% 247.42/31.57 ![X0]: (~'>='(c,X0)|~'>='(X0,'+'('0',c))|~spl0_0|~spl0_2|spl0_1)),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f455,f106953])).
% 247.42/31.57 fof(f106955,plain,(
% 247.42/31.57 ![X0]: (~'>='(c,X0)|~'>='(X0,c)|~spl0_0|~spl0_2|spl0_1)),
% 247.42/31.57 inference(forward_demodulation,[status(thm)],[f455,f106954])).
% 247.42/31.57 fof(f107082,plain,(
% 247.42/31.57 ~'>='(c,c)|~spl0_0|~spl0_2|spl0_1),
% 247.42/31.57 inference(resolution,[status(thm)],[f106955,f18])).
% 248.77/31.70 fof(f107083,plain,(
% 248.77/31.70 ~spl0_11|~spl0_0|~spl0_2|spl0_1),
% 248.77/31.70 inference(split_clause,[status(thm)],[f107082,f641,f44,f51,f47])).
% 248.77/31.70 fof(f107084,plain,(
% 248.77/31.70 $false),
% 248.77/31.70 inference(sat_refutation,[status(thm)],[f50,f54,f55,f493,f501,f688,f690,f762,f798,f1346,f3316,f3344,f3420,f3827,f4209,f5230,f7918,f8286,f8573,f8588,f12432,f12436,f40350,f40510,f68916,f69013,f69328,f69450,f73372,f107083])).
% 248.77/31.70 % SZS output end CNFRefutation for theBenchmark.p
% 249.32/31.80 % Elapsed time: 31.429817 seconds
% 249.32/31.80 % CPU time: 248.796305 seconds
% 249.32/31.80 % Total memory used: 1.170 GB
% 249.32/31.80 % Net memory used: 1.145 GB
%------------------------------------------------------------------------------