%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL903+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 01:11:19 PM UTC 2026
% Result : Theorem 46.85s 6.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL903+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 01:10:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 46.85/6.36 % Refutation found
% 46.85/6.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 46.85/6.36 % SZS output start CNFRefutation for theBenchmark
% 46.85/6.36 fof(f2,axiom,(
% 46.85/6.36 (! [A,B] : '+'(A,B) = '+'(B,A) )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f3,axiom,(
% 46.85/6.36 (! [A] : '+'(A,'0') = A )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f4,axiom,(
% 46.85/6.36 (! [A] : '>='(A,A) )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f5,axiom,(
% 46.85/6.36 (! [X0,X1,X2] :( ( '>='(X0,X1)& '>='(X1,X2) )=> '>='(X0,X2) ) )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f6,axiom,(
% 46.85/6.36 (! [X3,X4] :( ( '>='(X3,X4)& '>='(X4,X3) )=> X3 = X4 ) )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f7,axiom,(
% 46.85/6.36 (! [X5,X6,X7] :( '>='('+'(X5,X6),X7)<=> '>='(X6,'==>'(X5,X7)) ) )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f8,axiom,(
% 46.85/6.36 (! [A] : '>='(A,'0') )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f9,axiom,(
% 46.85/6.36 (! [X8,X9,X10] :( '>='(X8,X9)=> '>='('+'(X8,X10),'+'(X9,X10)) ) )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f10,axiom,(
% 46.85/6.36 (! [X11,X12,X13] :( '>='(X11,X12)=> '>='('==>'(X12,X13),'==>'(X11,X13)) ) )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f11,axiom,(
% 46.85/6.36 (! [X14,X15,X16] :( '>='(X14,X15)=> '>='('==>'(X16,X14),'==>'(X16,X15)) ) )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f12,axiom,(
% 46.85/6.36 (! [A] : '+'(A,'1') = '1' )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f13,axiom,(
% 46.85/6.36 (! [A] : '==>'('==>'('==>'(A,'1'),A),A) = '0' )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f14,conjecture,(
% 46.85/6.36 (! [X17] : '+'(X17,X17) = X17 )),
% 46.85/6.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 46.85/6.36 fof(f15,negated_conjecture,(
% 46.85/6.36 ~((! [X17] : '+'(X17,X17) = X17 ))),
% 46.85/6.36 inference(negated_conjecture,[status(cth)],[f14])).
% 46.85/6.36 fof(f17,plain,(
% 46.85/6.36 ![X0,X1]: ('+'(X0,X1)='+'(X1,X0))),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f2])).
% 46.85/6.36 fof(f18,plain,(
% 46.85/6.36 ![X0]: ('+'(X0,'0')=X0)),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f3])).
% 46.85/6.36 fof(f19,plain,(
% 46.85/6.36 ![X0]: ('>='(X0,X0))),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f4])).
% 46.85/6.36 fof(f20,plain,(
% 46.85/6.36 ![X0,X1,X2]: ((~'>='(X0,X1)|~'>='(X1,X2))|'>='(X0,X2))),
% 46.85/6.36 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 46.85/6.36 fof(f21,plain,(
% 46.85/6.36 ![X0,X2]: ((![X1]: (~'>='(X0,X1)|~'>='(X1,X2)))|'>='(X0,X2))),
% 46.85/6.36 inference(miniscoping,[status(thm)],[f20])).
% 46.85/6.36 fof(f22,plain,(
% 46.85/6.36 ![X0,X1,X2]: (~'>='(X0,X1)|~'>='(X1,X2)|'>='(X0,X2))),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f21])).
% 46.85/6.36 fof(f23,plain,(
% 46.85/6.36 ![X3,X4]: ((~'>='(X3,X4)|~'>='(X4,X3))|X3=X4)),
% 46.85/6.36 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 46.85/6.36 fof(f24,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='(X0,X1)|~'>='(X1,X0)|X0=X1)),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f23])).
% 46.85/6.36 fof(f25,plain,(
% 46.85/6.36 ![X5,X6,X7]: ((~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7)))&('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 46.85/6.36 inference(NNF_transformation,[status(thm)],[f7])).
% 46.85/6.36 fof(f26,plain,(
% 46.85/6.36 (![X5,X6,X7]: (~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7))))&(![X5,X6,X7]: ('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 46.85/6.36 inference(miniscoping,[status(thm)],[f25])).
% 46.85/6.36 fof(f27,plain,(
% 46.85/6.36 ![X0,X1,X2]: (~'>='('+'(X0,X1),X2)|'>='(X1,'==>'(X0,X2)))),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f26])).
% 46.85/6.36 fof(f28,plain,(
% 46.85/6.36 ![X0,X1,X2]: ('>='('+'(X0,X1),X2)|~'>='(X1,'==>'(X0,X2)))),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f26])).
% 46.85/6.36 fof(f29,plain,(
% 46.85/6.36 ![X0]: ('>='(X0,'0'))),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f8])).
% 46.85/6.36 fof(f30,plain,(
% 46.85/6.36 ![X8,X9,X10]: (~'>='(X8,X9)|'>='('+'(X8,X10),'+'(X9,X10)))),
% 46.85/6.36 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 46.85/6.36 fof(f31,plain,(
% 46.85/6.36 ![X8,X9]: (~'>='(X8,X9)|(![X10]: '>='('+'(X8,X10),'+'(X9,X10))))),
% 46.85/6.36 inference(miniscoping,[status(thm)],[f30])).
% 46.85/6.36 fof(f32,plain,(
% 46.85/6.36 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('+'(X0,X2),'+'(X1,X2)))),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f31])).
% 46.85/6.36 fof(f33,plain,(
% 46.85/6.36 ![X11,X12,X13]: (~'>='(X11,X12)|'>='('==>'(X12,X13),'==>'(X11,X13)))),
% 46.85/6.36 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 46.85/6.36 fof(f34,plain,(
% 46.85/6.36 ![X11,X12]: (~'>='(X11,X12)|(![X13]: '>='('==>'(X12,X13),'==>'(X11,X13))))),
% 46.85/6.36 inference(miniscoping,[status(thm)],[f33])).
% 46.85/6.36 fof(f35,plain,(
% 46.85/6.36 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('==>'(X1,X2),'==>'(X0,X2)))),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f34])).
% 46.85/6.36 fof(f36,plain,(
% 46.85/6.36 ![X14,X15,X16]: (~'>='(X14,X15)|'>='('==>'(X16,X14),'==>'(X16,X15)))),
% 46.85/6.36 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 46.85/6.36 fof(f37,plain,(
% 46.85/6.36 ![X14,X15]: (~'>='(X14,X15)|(![X16]: '>='('==>'(X16,X14),'==>'(X16,X15))))),
% 46.85/6.36 inference(miniscoping,[status(thm)],[f36])).
% 46.85/6.36 fof(f38,plain,(
% 46.85/6.36 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('==>'(X2,X0),'==>'(X2,X1)))),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f37])).
% 46.85/6.36 fof(f39,plain,(
% 46.85/6.36 ![X0]: ('+'(X0,'1')='1')),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f12])).
% 46.85/6.36 fof(f40,plain,(
% 46.85/6.36 ![X0]: ('==>'('==>'('==>'(X0,'1'),X0),X0)='0')),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f13])).
% 46.85/6.36 fof(f41,plain,(
% 46.85/6.36 (?[X17]: ~'+'(X17,X17)=X17)),
% 46.85/6.36 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 46.85/6.36 fof(f42,plain,(
% 46.85/6.36 ~'+'(sK0_skl,sK0_skl)=sK0_skl),
% 46.85/6.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X17,sK0_skl)],[f41])).
% 46.85/6.36 fof(f43,plain,(
% 46.85/6.36 ~'+'(sK0_skl,sK0_skl)=sK0_skl),
% 46.85/6.36 inference(cnf_transformation,[status(thm)],[f42])).
% 46.85/6.36 fof(f58,plain,(
% 46.85/6.36 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('+'(X2,X0),'+'(X1,X2)))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f17,f32])).
% 46.85/6.36 fof(f61,plain,(
% 46.85/6.36 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('+'(X0,X2),'+'(X2,X1)))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f17,f32])).
% 46.85/6.36 fof(f602,plain,(
% 46.85/6.36 ![X0]: ('+'('0',X0)=X0)),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f17,f18])).
% 46.85/6.36 fof(f616,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='(X0,'0')|'>='('+'(X0,X1),X1))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f18,f61])).
% 46.85/6.36 fof(f632,plain,(
% 46.85/6.36 ![X0,X1]: ('>='('+'(X0,X1),X1))),
% 46.85/6.36 inference(forward_subsumption_resolution,[status(thm)],[f616,f29])).
% 46.85/6.36 fof(f662,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='(X0,'0')|'>='('+'(X1,X0),X1))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f602,f58])).
% 46.85/6.36 fof(f685,plain,(
% 46.85/6.36 ![X0,X1]: ('>='('+'(X0,X1),X0))),
% 46.85/6.36 inference(forward_subsumption_resolution,[status(thm)],[f662,f29])).
% 46.85/6.36 fof(f851,plain,(
% 46.85/6.36 ![X0,X1,X2]: (~'>='('+'(X0,X1),'+'(X2,X1))|'+'(X0,X1)='+'(X2,X1)|~'>='(X2,X0))),
% 46.85/6.36 inference(resolution,[status(thm)],[f24,f32])).
% 46.85/6.36 fof(f852,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='(X0,'+'(X0,X1))|X0='+'(X0,X1))),
% 46.85/6.36 inference(resolution,[status(thm)],[f24,f685])).
% 46.85/6.36 fof(f854,plain,(
% 46.85/6.36 ![X0]: (~'>='('0',X0)|'0'=X0)),
% 46.85/6.36 inference(resolution,[status(thm)],[f24,f29])).
% 46.85/6.36 fof(f861,plain,(
% 46.85/6.36 ![X0,X1,X2]: (~'>='(X0,'+'(X1,X2))|'>='(X0,X1))),
% 46.85/6.36 inference(resolution,[status(thm)],[f22,f685])).
% 46.85/6.36 fof(f869,plain,(
% 46.85/6.36 ![X0,X1,X2]: ('>='(X0,'==>'(X1,'+'(X2,X0)))|~'>='(X1,X2))),
% 46.85/6.36 inference(resolution,[status(thm)],[f27,f32])).
% 46.85/6.36 fof(f871,plain,(
% 46.85/6.36 ![X0,X1]: ('>='(X0,'==>'(X1,X0)))),
% 46.85/6.36 inference(resolution,[status(thm)],[f27,f632])).
% 46.85/6.36 fof(f873,plain,(
% 46.85/6.36 ![X0,X1]: ('>='(X0,'==>'(X1,'+'(X1,X0))))),
% 46.85/6.36 inference(resolution,[status(thm)],[f27,f19])).
% 46.85/6.36 fof(f905,plain,(
% 46.85/6.36 ![X0,X1,X2]: ('>='('+'(X0,X1),X2)|~'>='(X0,'==>'(X1,X2)))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f17,f28])).
% 46.85/6.36 fof(f927,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='(X0,'1')|'>='(X0,X1))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f39,f861])).
% 46.85/6.36 fof(f1055,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='(X0,'+'(X1,X0))|'+'('0',X0)='+'(X1,X0)|~'>='(X1,'0'))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f602,f851])).
% 46.85/6.36 fof(f1086,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='(X0,'+'(X1,X0))|X0='+'(X1,X0)|~'>='(X1,'0'))),
% 46.85/6.36 inference(forward_demodulation,[status(thm)],[f602,f1055])).
% 46.85/6.36 fof(f1087,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='(X0,'+'(X1,X0))|X0='+'(X1,X0))),
% 46.85/6.36 inference(forward_subsumption_resolution,[status(thm)],[f1086,f29])).
% 46.85/6.36 fof(f1139,plain,(
% 46.85/6.36 ![X0,X1]: ('>='(X0,'==>'(X1,'+'(X0,X1))))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f17,f873])).
% 46.85/6.36 fof(f1401,plain,(
% 46.85/6.36 ![X0,X1,X2,X3]: ('>='('==>'(X0,'+'(X1,X2)),'==>'(X0,X3))|~'>='(X2,'==>'(X1,X3)))),
% 46.85/6.36 inference(resolution,[status(thm)],[f38,f28])).
% 46.85/6.36 fof(f1716,plain,(
% 46.85/6.36 ![X0,X1]: ('0'='==>'(X0,'+'(X1,'0'))|~'>='(X0,X1))),
% 46.85/6.36 inference(resolution,[status(thm)],[f854,f869])).
% 46.85/6.36 fof(f1723,plain,(
% 46.85/6.36 ![X0,X1]: ('0'='==>'(X0,X1)|~'>='(X0,X1))),
% 46.85/6.36 inference(forward_demodulation,[status(thm)],[f18,f1716])).
% 46.85/6.36 fof(f1791,plain,(
% 46.85/6.36 ![X0,X1]: ('0'='==>'(X0,'==>'(X1,'+'(X0,X1))))),
% 46.85/6.36 inference(resolution,[status(thm)],[f1723,f1139])).
% 46.85/6.36 fof(f1981,plain,(
% 46.85/6.36 ![X0]: (~'>='(X0,'1')|X0='+'(X0,'1'))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f39,f852])).
% 46.85/6.36 fof(f2014,plain,(
% 46.85/6.36 ![X0]: (~'>='(X0,'1')|X0='1')),
% 46.85/6.36 inference(forward_demodulation,[status(thm)],[f39,f1981])).
% 46.85/6.36 fof(f2231,plain,(
% 46.85/6.36 ![X0]: ('>='(X0,X0))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f602,f632])).
% 46.85/6.36 fof(f2607,plain,(
% 46.85/6.36 ![X0,X1]: ('>='('+'('==>'(X0,X1),X0),X1))),
% 46.85/6.36 inference(resolution,[status(thm)],[f905,f2231])).
% 46.85/6.36 fof(f2621,plain,(
% 46.85/6.36 ![X0,X1,X2]: (~'>='('==>'(X0,X1),'==>'(X2,X1))|'==>'(X0,X1)='==>'(X2,X1)|~'>='(X0,X2))),
% 46.85/6.36 inference(resolution,[status(thm)],[f24,f35])).
% 46.85/6.36 fof(f2668,plain,(
% 46.85/6.36 ![X0]: ('+'('==>'(X0,'1'),X0)='1')),
% 46.85/6.36 inference(resolution,[status(thm)],[f2607,f2014])).
% 46.85/6.36 fof(f2674,plain,(
% 46.85/6.36 ![X0]: ('>='('==>'('0',X0),X0))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f18,f2607])).
% 46.85/6.36 fof(f2675,plain,(
% 46.85/6.36 ![X0,X1]: ('>='('+'(X0,'==>'(X0,X1)),X1))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f17,f2607])).
% 46.85/6.36 fof(f2677,plain,(
% 46.85/6.36 ![X0]: ('>='('+'('0','==>'('==>'(X0,'1'),X0)),X0))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f40,f2607])).
% 46.85/6.36 fof(f2684,plain,(
% 46.85/6.36 ![X0]: ('>='('==>'('==>'(X0,'1'),X0),X0))),
% 46.85/6.36 inference(forward_demodulation,[status(thm)],[f602,f2677])).
% 46.85/6.36 fof(f2692,plain,(
% 46.85/6.36 ![X0]: ('>='('==>'('0','1'),X0))),
% 46.85/6.36 inference(resolution,[status(thm)],[f2674,f927])).
% 46.85/6.36 fof(f2694,plain,(
% 46.85/6.36 ![X0]: (~'>='(X0,'==>'('0',X0))|X0='==>'('0',X0))),
% 46.85/6.36 inference(resolution,[status(thm)],[f2674,f24])).
% 46.85/6.36 fof(f2699,plain,(
% 46.85/6.36 ![X0]: (X0='==>'('0',X0))),
% 46.85/6.36 inference(forward_subsumption_resolution,[status(thm)],[f2694,f871])).
% 46.85/6.36 fof(f2723,plain,(
% 46.85/6.36 ![X0]: ('>='('1',X0))),
% 46.85/6.36 inference(forward_demodulation,[status(thm)],[f2699,f2692])).
% 46.85/6.36 fof(f2887,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='('1',X0)|'>='(X1,'==>'('==>'(X1,'1'),X0)))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f2668,f27])).
% 46.85/6.36 fof(f2900,plain,(
% 46.85/6.36 ![X0,X1]: ('>='(X0,'==>'('==>'(X0,'1'),X1)))),
% 46.85/6.36 inference(forward_subsumption_resolution,[status(thm)],[f2887,f2723])).
% 46.85/6.36 fof(f3185,plain,(
% 46.85/6.36 ![X0]: (~'>='(X0,'==>'('==>'(X0,'1'),X0))|X0='==>'('==>'(X0,'1'),X0))),
% 46.85/6.36 inference(resolution,[status(thm)],[f2684,f24])).
% 46.85/6.36 fof(f3198,plain,(
% 46.85/6.36 ![X0]: (X0='==>'('==>'(X0,'1'),X0))),
% 46.85/6.36 inference(forward_subsumption_resolution,[status(thm)],[f3185,f871])).
% 46.85/6.36 fof(f4599,plain,(
% 46.85/6.36 ![X0,X1,X2]: ('>='('==>'(X0,'1'),'==>'(X0,X1))|~'>='(X2,'==>'('==>'(X2,'1'),X1)))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f2668,f1401])).
% 46.85/6.36 fof(f4629,plain,(
% 46.85/6.36 ![X0,X1]: ('>='('==>'(X0,'1'),'==>'(X0,X1)))),
% 46.85/6.36 inference(forward_subsumption_resolution,[status(thm)],[f4599,f2900])).
% 46.85/6.36 fof(f9957,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='(X0,'==>'(X1,X0))|'==>'('==>'(X0,'1'),X0)='==>'(X1,X0)|~'>='('==>'(X0,'1'),X1))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f3198,f2621])).
% 46.85/6.36 fof(f10010,plain,(
% 46.85/6.36 ![X0,X1]: (~'>='(X0,'==>'(X1,X0))|X0='==>'(X1,X0)|~'>='('==>'(X0,'1'),X1))),
% 46.85/6.36 inference(forward_demodulation,[status(thm)],[f3198,f9957])).
% 46.85/6.36 fof(f10011,plain,(
% 46.85/6.36 ![X0,X1]: (X0='==>'(X1,X0)|~'>='('==>'(X0,'1'),X1))),
% 46.85/6.36 inference(forward_subsumption_resolution,[status(thm)],[f10010,f871])).
% 46.85/6.36 fof(f11253,plain,(
% 46.85/6.36 ![X0]: (X0='+'(X0,'0'))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f602,f17])).
% 46.85/6.36 fof(f15122,plain,(
% 46.85/6.36 ![X0,X1]: (X0='==>'('==>'(X0,X1),X0))),
% 46.85/6.36 inference(resolution,[status(thm)],[f10011,f4629])).
% 46.85/6.36 fof(f15204,plain,(
% 46.85/6.36 ![X0,X1]: ('==>'(X0,X1)='==>'(X0,'==>'(X0,X1)))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f15122,f15122])).
% 46.85/6.36 fof(f15299,plain,(
% 46.85/6.36 ![X0]: ('==>'(X0,'+'(X0,X0))='0')),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f1791,f15204])).
% 46.85/6.36 fof(f15464,plain,(
% 46.85/6.36 ![X0]: ('>='('+'(X0,'0'),'+'(X0,X0)))),
% 46.85/6.36 inference(paramodulation,[status(thm)],[f15299,f2675])).
% 46.85/6.36 fof(f15512,plain,(
% 46.85/6.36 ![X0]: ('>='(X0,'+'(X0,X0)))),
% 46.85/6.36 inference(forward_demodulation,[status(thm)],[f11253,f15464])).
% 46.85/6.36 fof(f15551,plain,(
% 46.85/6.36 ![X0]: (X0='+'(X0,X0))),
% 46.85/6.36 inference(resolution,[status(thm)],[f15512,f1087])).
% 46.85/6.36 fof(f15602,plain,(
% 46.85/6.36 ~sK0_skl=sK0_skl),
% 46.85/6.36 inference(backward_demodulation,[status(thm)],[f15551,f43])).
% 46.85/6.37 fof(f15681,plain,(
% 46.85/6.37 $false),
% 46.85/6.37 inference(trivial_equality_resolution,[status(thm)],[f15602])).
% 46.85/6.37 % SZS output end CNFRefutation for theBenchmark.p
% 2.29/6.40 % Elapsed time: 6.003722 seconds
% 2.29/6.40 % CPU time: 47.314771 seconds
% 2.29/6.40 % Total memory used: 205.291 MB
% 2.29/6.40 % Net memory used: 191.870 MB
%------------------------------------------------------------------------------