%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL901+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:11:19 PM UTC 2026
% Result : Theorem 7.34s 1.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL901+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.65 % Computer : n010.cluster.edu
% 0.18/0.65 % Model : x86_64 x86_64
% 0.18/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.65 % Memory : 8046.5625MB
% 0.18/0.65 % OS : Linux 6.8.0-71-generic
% 0.18/0.65 % CPULimit : 300
% 0.18/0.65 % WCLimit : 300
% 0.18/0.65 % DateTime : Mon Sep 21 01:11:11 UTC 2026
% 0.18/0.65 % CPUTime :
% 0.18/0.67 % Drodi V4.1.1
% 7.34/1.67 % Refutation found
% 7.34/1.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.34/1.67 % SZS output start CNFRefutation for theBenchmark
% 7.34/1.67 fof(f1,axiom,(
% 7.34/1.67 (! [A,B,C] : '+'('+'(A,B),C) = '+'(A,'+'(B,C)) )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f2,axiom,(
% 7.34/1.67 (! [A,B] : '+'(A,B) = '+'(B,A) )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f3,axiom,(
% 7.34/1.67 (! [A] : '+'(A,'0') = A )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f4,axiom,(
% 7.34/1.67 (! [A] : '>='(A,A) )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f6,axiom,(
% 7.34/1.67 (! [X3,X4] :( ( '>='(X3,X4)& '>='(X4,X3) )=> X3 = X4 ) )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f7,axiom,(
% 7.34/1.67 (! [X5,X6,X7] :( '>='('+'(X5,X6),X7)<=> '>='(X6,'==>'(X5,X7)) ) )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f8,axiom,(
% 7.34/1.67 (! [A] : '>='(A,'0') )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f9,axiom,(
% 7.34/1.67 (! [X8,X9,X10] :( '>='(X8,X9)=> '>='('+'(X8,X10),'+'(X9,X10)) ) )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f10,axiom,(
% 7.34/1.67 (! [X11,X12,X13] :( '>='(X11,X12)=> '>='('==>'(X12,X13),'==>'(X11,X13)) ) )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f11,axiom,(
% 7.34/1.67 (! [X14,X15,X16] :( '>='(X14,X15)=> '>='('==>'(X16,X14),'==>'(X16,X15)) ) )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f12,axiom,(
% 7.34/1.67 (! [A] : '+'(A,'1') = '1' )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f13,axiom,(
% 7.34/1.67 (! [A,B] : '==>'('==>'(A,B),B) = '==>'('==>'(B,A),A) )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f14,axiom,(
% 7.34/1.67 (! [A] : '+'(A,A) = A )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f15,conjecture,(
% 7.34/1.67 (! [X17] : '==>'('==>'('==>'(X17,'1'),X17),X17) = '0' )),
% 7.34/1.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.34/1.67 fof(f16,negated_conjecture,(
% 7.34/1.67 ~((! [X17] : '==>'('==>'('==>'(X17,'1'),X17),X17) = '0' ))),
% 7.34/1.67 inference(negated_conjecture,[status(cth)],[f15])).
% 7.34/1.67 fof(f17,plain,(
% 7.34/1.67 ![X0,X1,X2]: ('+'('+'(X0,X1),X2)='+'(X0,'+'(X1,X2)))),
% 7.34/1.67 inference(cnf_transformation,[status(thm)],[f1])).
% 7.34/1.67 fof(f18,plain,(
% 7.34/1.67 ![X0,X1]: ('+'(X0,X1)='+'(X1,X0))),
% 7.34/1.67 inference(cnf_transformation,[status(thm)],[f2])).
% 7.34/1.67 fof(f19,plain,(
% 7.34/1.67 ![X0]: ('+'(X0,'0')=X0)),
% 7.34/1.67 inference(cnf_transformation,[status(thm)],[f3])).
% 7.34/1.67 fof(f20,plain,(
% 7.34/1.67 ![X0]: ('>='(X0,X0))),
% 7.34/1.67 inference(cnf_transformation,[status(thm)],[f4])).
% 7.34/1.67 fof(f24,plain,(
% 7.34/1.67 ![X3,X4]: ((~'>='(X3,X4)|~'>='(X4,X3))|X3=X4)),
% 7.34/1.67 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 7.34/1.67 fof(f25,plain,(
% 7.34/1.67 ![X0,X1]: (~'>='(X0,X1)|~'>='(X1,X0)|X0=X1)),
% 7.34/1.67 inference(cnf_transformation,[status(thm)],[f24])).
% 7.34/1.67 fof(f26,plain,(
% 7.34/1.67 ![X5,X6,X7]: ((~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7)))&('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 7.34/1.67 inference(NNF_transformation,[status(thm)],[f7])).
% 7.34/1.67 fof(f27,plain,(
% 7.34/1.67 (![X5,X6,X7]: (~'>='('+'(X5,X6),X7)|'>='(X6,'==>'(X5,X7))))&(![X5,X6,X7]: ('>='('+'(X5,X6),X7)|~'>='(X6,'==>'(X5,X7))))),
% 7.34/1.67 inference(miniscoping,[status(thm)],[f26])).
% 7.34/1.67 fof(f28,plain,(
% 7.34/1.67 ![X0,X1,X2]: (~'>='('+'(X0,X1),X2)|'>='(X1,'==>'(X0,X2)))),
% 7.34/1.67 inference(cnf_transformation,[status(thm)],[f27])).
% 7.34/1.67 fof(f29,plain,(
% 7.34/1.67 ![X0,X1,X2]: ('>='('+'(X0,X1),X2)|~'>='(X1,'==>'(X0,X2)))),
% 7.34/1.67 inference(cnf_transformation,[status(thm)],[f27])).
% 7.34/1.67 fof(f30,plain,(
% 7.34/1.67 ![X0]: ('>='(X0,'0'))),
% 7.34/1.67 inference(cnf_transformation,[status(thm)],[f8])).
% 7.34/1.67 fof(f31,plain,(
% 7.34/1.67 ![X8,X9,X10]: (~'>='(X8,X9)|'>='('+'(X8,X10),'+'(X9,X10)))),
% 7.34/1.67 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 7.34/1.67 fof(f32,plain,(
% 7.34/1.67 ![X8,X9]: (~'>='(X8,X9)|(![X10]: '>='('+'(X8,X10),'+'(X9,X10))))),
% 7.34/1.67 inference(miniscoping,[status(thm)],[f31])).
% 7.34/1.67 fof(f33,plain,(
% 7.34/1.67 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('+'(X0,X2),'+'(X1,X2)))),
% 7.34/1.67 inference(cnf_transformation,[status(thm)],[f32])).
% 7.34/1.67 fof(f34,plain,(
% 7.34/1.67 ![X11,X12,X13]: (~'>='(X11,X12)|'>='('==>'(X12,X13),'==>'(X11,X13)))),
% 7.34/1.67 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 7.34/1.67 fof(f35,plain,(
% 7.34/1.67 ![X11,X12]: (~'>='(X11,X12)|(![X13]: '>='('==>'(X12,X13),'==>'(X11,X13))))),
% 7.34/1.68 inference(miniscoping,[status(thm)],[f34])).
% 7.34/1.68 fof(f36,plain,(
% 7.34/1.68 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('==>'(X1,X2),'==>'(X0,X2)))),
% 7.34/1.68 inference(cnf_transformation,[status(thm)],[f35])).
% 7.34/1.68 fof(f37,plain,(
% 7.34/1.68 ![X14,X15,X16]: (~'>='(X14,X15)|'>='('==>'(X16,X14),'==>'(X16,X15)))),
% 7.34/1.68 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 7.34/1.68 fof(f38,plain,(
% 7.34/1.68 ![X14,X15]: (~'>='(X14,X15)|(![X16]: '>='('==>'(X16,X14),'==>'(X16,X15))))),
% 7.34/1.68 inference(miniscoping,[status(thm)],[f37])).
% 7.34/1.68 fof(f39,plain,(
% 7.34/1.68 ![X0,X1,X2]: (~'>='(X0,X1)|'>='('==>'(X2,X0),'==>'(X2,X1)))),
% 7.34/1.68 inference(cnf_transformation,[status(thm)],[f38])).
% 7.34/1.68 fof(f40,plain,(
% 7.34/1.68 ![X0]: ('+'(X0,'1')='1')),
% 7.34/1.68 inference(cnf_transformation,[status(thm)],[f12])).
% 7.34/1.68 fof(f41,plain,(
% 7.34/1.68 ![X0,X1]: ('==>'('==>'(X0,X1),X1)='==>'('==>'(X1,X0),X0))),
% 7.34/1.68 inference(cnf_transformation,[status(thm)],[f13])).
% 7.34/1.68 fof(f42,plain,(
% 7.34/1.68 ![X0]: ('+'(X0,X0)=X0)),
% 7.34/1.68 inference(cnf_transformation,[status(thm)],[f14])).
% 7.34/1.68 fof(f43,plain,(
% 7.34/1.68 (?[X17]: ~'==>'('==>'('==>'(X17,'1'),X17),X17)='0')),
% 7.34/1.68 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 7.34/1.68 fof(f44,plain,(
% 7.34/1.68 ~'==>'('==>'('==>'(sK0_skl,'1'),sK0_skl),sK0_skl)='0'),
% 7.34/1.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X17,sK0_skl)],[f43])).
% 7.34/1.68 fof(f45,plain,(
% 7.34/1.68 ~'==>'('==>'('==>'(sK0_skl,'1'),sK0_skl),sK0_skl)='0'),
% 7.34/1.68 inference(cnf_transformation,[status(thm)],[f44])).
% 7.34/1.68 fof(f48,plain,(
% 7.34/1.68 ![X0,X1]: (~'>='(X0,X1)|'>='('0','==>'(X0,X1)))),
% 7.34/1.68 inference(paramodulation,[status(thm)],[f19,f28])).
% 7.34/1.68 fof(f61,plain,(
% 7.34/1.68 ![X0,X1]: ('>='('==>'('0',X0),'==>'(X1,X0)))),
% 7.34/1.68 inference(resolution,[status(thm)],[f36,f30])).
% 7.34/1.68 fof(f62,plain,(
% 7.34/1.68 ![X0,X1]: ('>='('+'(X0,'==>'('0',X1)),X1))),
% 7.34/1.68 inference(resolution,[status(thm)],[f61,f29])).
% 7.34/1.68 fof(f89,plain,(
% 7.34/1.68 ![X0,X1]: ('>='(X0,'==>'(X1,'+'(X1,X0))))),
% 7.34/1.68 inference(resolution,[status(thm)],[f20,f28])).
% 7.34/1.68 fof(f90,plain,(
% 7.34/1.68 ![X0,X1]: ('>='('+'(X0,'==>'(X0,X1)),X1))),
% 7.34/1.68 inference(resolution,[status(thm)],[f20,f29])).
% 7.34/1.68 fof(f93,plain,(
% 7.34/1.68 ![X0]: ('>='('0','==>'(X0,X0)))),
% 7.34/1.68 inference(resolution,[status(thm)],[f20,f48])).
% 7.34/1.68 fof(f96,plain,(
% 7.34/1.68 ![X0]: ('>='('==>'('0',X0),X0))),
% 7.34/1.68 inference(paramodulation,[status(thm)],[f42,f62])).
% 7.34/1.68 fof(f100,plain,(
% 7.34/1.68 ![X0]: ('1'='+'('1',X0))),
% 7.34/1.68 inference(paramodulation,[status(thm)],[f40,f18])).
% 7.34/1.68 fof(f133,plain,(
% 7.34/1.68 ![X0]: ('>='('1',X0))),
% 7.34/1.68 inference(paramodulation,[status(thm)],[f100,f62])).
% 7.34/1.68 fof(f143,plain,(
% 7.34/1.68 ![X0]: ('>='('0','==>'('1',X0)))),
% 7.34/1.68 inference(resolution,[status(thm)],[f133,f48])).
% 7.34/1.68 fof(f147,plain,(
% 7.34/1.68 ![X0,X1,X2]: ('+'(X0,'+'(X1,X2))='+'(X1,'+'(X2,X0)))),
% 7.34/1.68 inference(paramodulation,[status(thm)],[f18,f17])).
% 7.34/1.68 fof(f155,plain,(
% 7.34/1.68 ![X0,X1,X2]: ('+'('+'(X0,X1),X2)='+'(X1,'+'(X0,X2)))),
% 7.34/1.68 inference(paramodulation,[status(thm)],[f18,f17])).
% 7.34/1.68 fof(f157,plain,(
% 7.34/1.68 ![X0,X1]: ('+'(X0,X1)='+'(X0,'+'(X0,X1)))),
% 7.34/1.68 inference(paramodulation,[status(thm)],[f42,f17])).
% 7.34/1.68 fof(f184,plain,(
% 7.34/1.68 ![X0]: (~'>='('0',X0)|X0='0')),
% 7.34/1.68 inference(resolution,[status(thm)],[f25,f30])).
% 7.34/1.68 fof(f187,plain,(
% 7.34/1.68 ![X0]: (~'>='('==>'(X0,X0),'0')|'0'='==>'(X0,X0))),
% 7.34/1.68 inference(resolution,[status(thm)],[f93,f25])).
% 7.34/1.68 fof(f193,plain,(
% 7.34/1.68 ![X0]: ('0'='==>'(X0,X0))),
% 7.34/1.68 inference(forward_subsumption_resolution,[status(thm)],[f187,f30])).
% 7.34/1.68 fof(f201,plain,(
% 7.34/1.68 ![X0,X1]: ('>='('+'(X0,X1),X0)|~'>='(X1,'0'))),
% 7.34/1.68 inference(paramodulation,[status(thm)],[f193,f29])).
% 7.34/1.68 fof(f203,plain,(
% 7.34/1.68 ![X0,X1]: ('>='('+'(X0,X1),X0))),
% 7.34/1.68 inference(forward_subsumption_resolution,[status(thm)],[f201,f30])).
% 7.34/1.68 fof(f206,plain,(
% 7.34/1.68 ![X0,X1]: (~'>='(X0,'+'(X0,X1))|'+'(X0,X1)=X0)),
% 7.34/1.68 inference(resolution,[status(thm)],[f203,f25])).
% 7.34/1.68 fof(f216,plain,(
% 7.34/1.68 ![X0,X1]: ('>='('+'(X0,X1),X1))),
% 7.34/1.68 inference(paramodulation,[status(thm)],[f18,f203])).
% 7.34/1.68 fof(f220,plain,(
% 7.34/1.68 ![X0,X1]: ('>='(X0,'==>'(X1,X0)))),
% 7.34/1.68 inference(resolution,[status(thm)],[f216,f28])).
% 7.34/1.68 fof(f224,plain,(
% 7.34/1.68 ![X0,X1,X2]: ('>='('==>'(X0,'+'(X1,X2)),'==>'(X0,X2)))),
% 7.34/1.68 inference(resolution,[status(thm)],[f216,f39])).
% 7.34/1.68 fof(f265,plain,(
% 7.34/1.68 ![X0]: (~'>='(X0,'==>'('0',X0))|'==>'('0',X0)=X0)),
% 7.34/1.68 inference(resolution,[status(thm)],[f96,f25])).
% 7.34/1.68 fof(f271,plain,(
% 7.34/1.68 ![X0]: ('==>'('0',X0)=X0)),
% 7.34/1.68 inference(forward_subsumption_resolution,[status(thm)],[f265,f220])).
% 7.34/1.69 fof(f329,plain,(
% 7.34/1.69 ![X0,X1]: (~'>='('==>'(X0,'+'(X0,X1)),X1)|X1='==>'(X0,'+'(X0,X1)))),
% 7.34/1.69 inference(resolution,[status(thm)],[f89,f25])).
% 7.34/1.69 fof(f349,plain,(
% 7.34/1.69 ![X0]: ('==>'('1',X0)='0')),
% 7.34/1.69 inference(resolution,[status(thm)],[f143,f184])).
% 7.34/1.69 fof(f371,plain,(
% 7.34/1.69 ![X0]: ('==>'('==>'(X0,'1'),'1')='==>'('0',X0))),
% 7.34/1.69 inference(paramodulation,[status(thm)],[f349,f41])).
% 7.34/1.69 fof(f375,plain,(
% 7.34/1.69 ![X0]: ('==>'('==>'(X0,'1'),'1')=X0)),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f271,f371])).
% 7.34/1.69 fof(f393,plain,(
% 7.34/1.69 ![X0,X1]: ('>='('0','==>'('+'(X0,'==>'(X0,X1)),X1)))),
% 7.34/1.69 inference(resolution,[status(thm)],[f90,f48])).
% 7.34/1.69 fof(f472,plain,(
% 7.34/1.69 ![X0,X1,X2]: ('>='('+'(X0,X1),'+'('==>'(X2,X0),X1)))),
% 7.34/1.69 inference(resolution,[status(thm)],[f33,f220])).
% 7.34/1.69 fof(f1041,plain,(
% 7.34/1.69 ![X0,X1]: ('+'(X0,X1)='+'(X1,'+'(X1,X0)))),
% 7.34/1.69 inference(paramodulation,[status(thm)],[f42,f147])).
% 7.34/1.69 fof(f1827,plain,(
% 7.34/1.69 ![X0,X1]: (~'>='(X0,'+'(X0,X1))|'+'(X0,'+'(X0,X1))=X0)),
% 7.34/1.69 inference(paramodulation,[status(thm)],[f157,f206])).
% 7.34/1.69 fof(f1848,plain,(
% 7.34/1.69 ![X0,X1]: (~'>='(X0,'+'(X0,X1))|'+'(X1,X0)=X0)),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f1041,f1827])).
% 7.34/1.69 fof(f3790,plain,(
% 7.34/1.69 ![X0,X1]: ('>='(X0,'+'('==>'(X1,X0),X0)))),
% 7.34/1.69 inference(paramodulation,[status(thm)],[f42,f472])).
% 7.34/1.69 fof(f3830,plain,(
% 7.34/1.69 ![X0,X1]: ('>='(X0,'+'(X0,'==>'(X1,X0))))),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f18,f3790])).
% 7.34/1.69 fof(f3855,plain,(
% 7.34/1.69 ![X0,X1]: ('+'('==>'(X0,X1),X1)=X1)),
% 7.34/1.69 inference(resolution,[status(thm)],[f3830,f1848])).
% 7.34/1.69 fof(f3894,plain,(
% 7.34/1.69 ![X0,X1]: ('+'(X0,'==>'(X1,X0))=X0)),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f18,f3855])).
% 7.34/1.69 fof(f3928,plain,(
% 7.34/1.69 ![X0,X1]: ('+'(X0,'==>'('==>'(X0,X1),X1))=X0)),
% 7.34/1.69 inference(paramodulation,[status(thm)],[f41,f3894])).
% 7.34/1.69 fof(f6874,plain,(
% 7.34/1.69 ![X0,X1]: ('==>'('+'(X0,'==>'(X0,X1)),X1)='0')),
% 7.34/1.69 inference(resolution,[status(thm)],[f393,f184])).
% 7.34/1.69 fof(f7186,plain,(
% 7.34/1.69 ![X0,X1]: ('+'('+'(X0,'==>'(X0,X1)),'==>'('0',X1))='+'(X0,'==>'(X0,X1)))),
% 7.34/1.69 inference(paramodulation,[status(thm)],[f6874,f3928])).
% 7.34/1.69 fof(f7297,plain,(
% 7.34/1.69 ![X0,X1]: ('+'('==>'(X0,X1),'+'(X0,'==>'('0',X1)))='+'(X0,'==>'(X0,X1)))),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f155,f7186])).
% 7.34/1.69 fof(f7298,plain,(
% 7.34/1.69 ![X0,X1]: ('+'(X0,'+'('==>'('0',X1),'==>'(X0,X1)))='+'(X0,'==>'(X0,X1)))),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f147,f7297])).
% 7.34/1.69 fof(f7299,plain,(
% 7.34/1.69 ![X0,X1]: ('+'(X0,'+'(X1,'==>'(X0,X1)))='+'(X0,'==>'(X0,X1)))),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f271,f7298])).
% 7.34/1.69 fof(f7300,plain,(
% 7.34/1.69 ![X0,X1]: ('+'(X0,X1)='+'(X0,'==>'(X0,X1)))),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f3894,f7299])).
% 7.34/1.69 fof(f7399,plain,(
% 7.34/1.69 ![X0,X1]: (~'>='('==>'(X0,'+'(X0,X1)),'==>'(X0,X1))|'==>'(X0,X1)='==>'(X0,'+'(X0,'==>'(X0,X1))))),
% 7.34/1.69 inference(paramodulation,[status(thm)],[f7300,f329])).
% 7.34/1.69 fof(f7497,plain,(
% 7.34/1.69 ![X0,X1]: (~'>='('==>'(X0,'+'(X0,X1)),'==>'(X0,X1))|'==>'(X0,X1)='==>'(X0,'+'(X0,X1)))),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f7300,f7399])).
% 7.34/1.69 fof(f7498,plain,(
% 7.34/1.69 ![X0,X1]: ('==>'(X0,X1)='==>'(X0,'+'(X0,X1)))),
% 7.34/1.69 inference(forward_subsumption_resolution,[status(thm)],[f7497,f224])).
% 7.34/1.69 fof(f7553,plain,(
% 7.34/1.69 ![X0,X1]: ('==>'(X0,'==>'(X0,X1))='==>'(X0,'+'(X0,X1)))),
% 7.34/1.69 inference(paramodulation,[status(thm)],[f7300,f7498])).
% 7.34/1.69 fof(f7624,plain,(
% 7.34/1.69 ![X0,X1]: ('==>'(X0,'==>'(X0,X1))='==>'(X0,X1))),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f7498,f7553])).
% 7.34/1.69 fof(f7793,plain,(
% 7.34/1.69 ![X0]: ('==>'('==>'(X0,'1'),X0)='==>'('==>'(X0,'1'),'1'))),
% 7.34/1.69 inference(paramodulation,[status(thm)],[f375,f7624])).
% 7.34/1.69 fof(f7872,plain,(
% 7.34/1.69 ![X0]: ('==>'('==>'(X0,'1'),X0)=X0)),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f375,f7793])).
% 7.34/1.69 fof(f7898,plain,(
% 7.34/1.69 ~'==>'(sK0_skl,sK0_skl)='0'),
% 7.34/1.69 inference(backward_demodulation,[status(thm)],[f7872,f45])).
% 7.34/1.69 fof(f7978,plain,(
% 7.34/1.69 ~'0'='0'),
% 7.34/1.69 inference(forward_demodulation,[status(thm)],[f193,f7898])).
% 7.34/1.69 fof(f7979,plain,(
% 7.34/1.69 $false),
% 7.34/1.69 inference(trivial_equality_resolution,[status(thm)],[f7978])).
% 7.34/1.69 % SZS output end CNFRefutation for theBenchmark.p
% 7.34/1.71 % Elapsed time: 1.035942 seconds
% 7.34/1.71 % CPU time: 7.842841 seconds
% 7.34/1.71 % Total memory used: 112.624 MB
% 7.34/1.71 % Net memory used: 105.208 MB
%------------------------------------------------------------------------------