TSTP Solution File: NUM856+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:30:52 EDT 2023
% Result : Theorem 6.78s 1.59s
% Output : CNFRefutation 6.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM856+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:55:19 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 6.78/1.59 % Refutation found
% 6.78/1.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.78/1.59 % SZS output start CNFRefutation for theBenchmark
% 6.78/1.59 fof(f1,conjecture,(
% 6.78/1.59 greater(vmul(vd517,vd519),vmul(vd518,vd520)) ),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f2,negated_conjecture,(
% 6.78/1.59 ~(greater(vmul(vd517,vd519),vmul(vd518,vd520)) )),
% 6.78/1.59 inference(negated_conjecture,[status(cth)],[f1])).
% 6.78/1.59 fof(f3,axiom,(
% 6.78/1.59 ( ( greater(vd519,vd520)& geq(vd517,vd518) )| ( geq(vd519,vd520)& greater(vd517,vd518) ) ) ),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f4,axiom,(
% 6.78/1.59 (! [Vd501,Vd502,Vd504,Vd505] :( ( greater(Vd504,Vd505)& greater(Vd501,Vd502) )=> greater(vmul(Vd501,Vd504),vmul(Vd502,Vd505)) ) )),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f5,axiom,(
% 6.78/1.59 (! [Vd496,Vd497,Vd498] :( less(vmul(Vd496,Vd497),vmul(Vd498,Vd497))=> less(Vd496,Vd498) ) )),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f7,axiom,(
% 6.78/1.59 (! [Vd486,Vd487,Vd488] :( greater(vmul(Vd486,Vd487),vmul(Vd488,Vd487))=> greater(Vd486,Vd488) ) )),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f10,axiom,(
% 6.78/1.59 (! [Vd456,Vd457,Vd458] :( greater(Vd457,Vd458)=> greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ) )),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f13,axiom,(
% 6.78/1.59 (! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) )),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f15,axiom,(
% 6.78/1.59 (! [Vd400] : vmul(v1,Vd400) = Vd400 )),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f19,axiom,(
% 6.78/1.59 (! [Vd369] : geq(Vd369,v1) )),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f36,axiom,(
% 6.78/1.59 (! [Vd244,Vd245] :( geq(Vd245,Vd244)<=> ( greater(Vd245,Vd244)| Vd245 = Vd244 ) ) )),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f37,axiom,(
% 6.78/1.59 (! [Vd226,Vd227] :( less(Vd226,Vd227)=> greater(Vd227,Vd226) ) )),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f42,axiom,(
% 6.78/1.59 (! [Vd203,Vd204] :( Vd203 != Vd204| ~ greater(Vd203,Vd204) ) )),
% 6.78/1.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 6.78/1.59 fof(f61,plain,(
% 6.78/1.59 ~greater(vmul(vd517,vd519),vmul(vd518,vd520))),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f2])).
% 6.78/1.59 fof(f62,plain,(
% 6.78/1.59 pd0_0=>(greater(vd519,vd520)&geq(vd517,vd518))),
% 6.78/1.59 introduced(predicate_definition,[f3])).
% 6.78/1.59 fof(f63,plain,(
% 6.78/1.59 pd0_0|(geq(vd519,vd520)&greater(vd517,vd518))),
% 6.78/1.59 inference(formula_renaming,[status(thm)],[f3,f62])).
% 6.78/1.59 fof(f64,plain,(
% 6.78/1.59 pd0_0|geq(vd519,vd520)),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f63])).
% 6.78/1.59 fof(f65,plain,(
% 6.78/1.59 pd0_0|greater(vd517,vd518)),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f63])).
% 6.78/1.59 fof(f66,plain,(
% 6.78/1.59 ![Vd501,Vd502,Vd504,Vd505]: ((~greater(Vd504,Vd505)|~greater(Vd501,Vd502))|greater(vmul(Vd501,Vd504),vmul(Vd502,Vd505)))),
% 6.78/1.59 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 6.78/1.59 fof(f67,plain,(
% 6.78/1.59 ![X0,X1,X2,X3]: (~greater(X0,X1)|~greater(X2,X3)|greater(vmul(X2,X0),vmul(X3,X1)))),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f66])).
% 6.78/1.59 fof(f68,plain,(
% 6.78/1.59 ![Vd496,Vd497,Vd498]: (~less(vmul(Vd496,Vd497),vmul(Vd498,Vd497))|less(Vd496,Vd498))),
% 6.78/1.59 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 6.78/1.59 fof(f69,plain,(
% 6.78/1.59 ![Vd496,Vd498]: ((![Vd497]: ~less(vmul(Vd496,Vd497),vmul(Vd498,Vd497)))|less(Vd496,Vd498))),
% 6.78/1.59 inference(miniscoping,[status(esa)],[f68])).
% 6.78/1.59 fof(f70,plain,(
% 6.78/1.59 ![X0,X1,X2]: (~less(vmul(X0,X1),vmul(X2,X1))|less(X0,X2))),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f69])).
% 6.78/1.59 fof(f74,plain,(
% 6.78/1.59 ![Vd486,Vd487,Vd488]: (~greater(vmul(Vd486,Vd487),vmul(Vd488,Vd487))|greater(Vd486,Vd488))),
% 6.78/1.59 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 6.78/1.59 fof(f75,plain,(
% 6.78/1.59 ![Vd486,Vd488]: ((![Vd487]: ~greater(vmul(Vd486,Vd487),vmul(Vd488,Vd487)))|greater(Vd486,Vd488))),
% 6.78/1.59 inference(miniscoping,[status(esa)],[f74])).
% 6.78/1.59 fof(f76,plain,(
% 6.78/1.59 ![X0,X1,X2]: (~greater(vmul(X0,X1),vmul(X2,X1))|greater(X0,X2))),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f75])).
% 6.78/1.59 fof(f83,plain,(
% 6.78/1.59 ![Vd456,Vd457,Vd458]: (~greater(Vd457,Vd458)|greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)))),
% 6.78/1.59 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 6.78/1.59 fof(f84,plain,(
% 6.78/1.59 ![Vd457,Vd458]: (~greater(Vd457,Vd458)|(![Vd456]: greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456))))),
% 6.78/1.59 inference(miniscoping,[status(esa)],[f83])).
% 6.78/1.59 fof(f85,plain,(
% 6.78/1.59 ![X0,X1,X2]: (~greater(X0,X1)|greater(vmul(X0,X2),vmul(X1,X2)))),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f84])).
% 6.78/1.59 fof(f88,plain,(
% 6.78/1.59 ![X0,X1]: (vmul(X0,X1)=vmul(X1,X0))),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f13])).
% 6.78/1.59 fof(f90,plain,(
% 6.78/1.59 ![X0]: (vmul(v1,X0)=X0)),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f15])).
% 6.78/1.59 fof(f98,plain,(
% 6.78/1.59 ![X0]: (geq(X0,v1))),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f19])).
% 6.78/1.59 fof(f144,plain,(
% 6.78/1.59 ![Vd244,Vd245]: ((~geq(Vd245,Vd244)|(greater(Vd245,Vd244)|Vd245=Vd244))&(geq(Vd245,Vd244)|(~greater(Vd245,Vd244)&~Vd245=Vd244)))),
% 6.78/1.59 inference(NNF_transformation,[status(esa)],[f36])).
% 6.78/1.59 fof(f145,plain,(
% 6.78/1.59 (![Vd244,Vd245]: (~geq(Vd245,Vd244)|(greater(Vd245,Vd244)|Vd245=Vd244)))&(![Vd244,Vd245]: (geq(Vd245,Vd244)|(~greater(Vd245,Vd244)&~Vd245=Vd244)))),
% 6.78/1.59 inference(miniscoping,[status(esa)],[f144])).
% 6.78/1.59 fof(f146,plain,(
% 6.78/1.59 ![X0,X1]: (~geq(X0,X1)|greater(X0,X1)|X0=X1)),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f145])).
% 6.78/1.59 fof(f149,plain,(
% 6.78/1.59 ![Vd226,Vd227]: (~less(Vd226,Vd227)|greater(Vd227,Vd226))),
% 6.78/1.59 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 6.78/1.59 fof(f150,plain,(
% 6.78/1.59 ![X0,X1]: (~less(X0,X1)|greater(X1,X0))),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f149])).
% 6.78/1.59 fof(f156,plain,(
% 6.78/1.59 ![X0,X1]: (~X0=X1|~greater(X0,X1))),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f42])).
% 6.78/1.59 fof(f193,plain,(
% 6.78/1.59 ~pd0_0|(greater(vd519,vd520)&geq(vd517,vd518))),
% 6.78/1.59 inference(pre_NNF_transformation,[status(esa)],[f62])).
% 6.78/1.59 fof(f194,plain,(
% 6.78/1.59 ~pd0_0|greater(vd519,vd520)),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f193])).
% 6.78/1.59 fof(f195,plain,(
% 6.78/1.59 ~pd0_0|geq(vd517,vd518)),
% 6.78/1.59 inference(cnf_transformation,[status(esa)],[f193])).
% 6.78/1.59 fof(f196,plain,(
% 6.78/1.59 spl0_0 <=> pd0_0),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f199,plain,(
% 6.78/1.59 spl0_1 <=> geq(vd519,vd520)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f200,plain,(
% 6.78/1.59 geq(vd519,vd520)|~spl0_1),
% 6.78/1.59 inference(component_clause,[status(thm)],[f199])).
% 6.78/1.59 fof(f202,plain,(
% 6.78/1.59 spl0_0|spl0_1),
% 6.78/1.59 inference(split_clause,[status(thm)],[f64,f196,f199])).
% 6.78/1.59 fof(f203,plain,(
% 6.78/1.59 spl0_2 <=> greater(vd517,vd518)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f206,plain,(
% 6.78/1.59 spl0_0|spl0_2),
% 6.78/1.59 inference(split_clause,[status(thm)],[f65,f196,f203])).
% 6.78/1.59 fof(f207,plain,(
% 6.78/1.59 spl0_3 <=> greater(vd519,vd520)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f208,plain,(
% 6.78/1.59 greater(vd519,vd520)|~spl0_3),
% 6.78/1.59 inference(component_clause,[status(thm)],[f207])).
% 6.78/1.59 fof(f210,plain,(
% 6.78/1.59 ~spl0_0|spl0_3),
% 6.78/1.59 inference(split_clause,[status(thm)],[f194,f196,f207])).
% 6.78/1.59 fof(f211,plain,(
% 6.78/1.59 spl0_4 <=> geq(vd517,vd518)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f212,plain,(
% 6.78/1.59 geq(vd517,vd518)|~spl0_4),
% 6.78/1.59 inference(component_clause,[status(thm)],[f211])).
% 6.78/1.59 fof(f214,plain,(
% 6.78/1.59 ~spl0_0|spl0_4),
% 6.78/1.59 inference(split_clause,[status(thm)],[f195,f196,f211])).
% 6.78/1.59 fof(f218,plain,(
% 6.78/1.59 ![X0]: (~greater(X0,X0))),
% 6.78/1.59 inference(destructive_equality_resolution,[status(esa)],[f156])).
% 6.78/1.59 fof(f230,plain,(
% 6.78/1.59 ![X0,X1,X2]: (~greater(vmul(X0,X1),vmul(X2,X0))|greater(X1,X2))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f88,f76])).
% 6.78/1.59 fof(f232,plain,(
% 6.78/1.59 ![X0,X1,X2]: (~greater(vmul(X0,X1),vmul(X1,X2))|greater(X0,X2))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f88,f76])).
% 6.78/1.59 fof(f235,plain,(
% 6.78/1.59 ![X0,X1,X2]: (~greater(X0,X1)|greater(vmul(X2,X0),vmul(X1,X2)))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f88,f85])).
% 6.78/1.59 fof(f237,plain,(
% 6.78/1.59 ![X0,X1,X2]: (~greater(X0,X1)|greater(vmul(X0,X2),vmul(X2,X1)))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f88,f85])).
% 6.78/1.59 fof(f239,plain,(
% 6.78/1.59 ~greater(vd519,vd520)|~greater(vd517,vd518)),
% 6.78/1.59 inference(resolution,[status(thm)],[f67,f61])).
% 6.78/1.59 fof(f240,plain,(
% 6.78/1.59 ~spl0_3|~spl0_2),
% 6.78/1.59 inference(split_clause,[status(thm)],[f239,f207,f203])).
% 6.78/1.59 fof(f241,plain,(
% 6.78/1.59 spl0_5 <=> ~greater(X0,X0)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f249,plain,(
% 6.78/1.59 ![X0,X1]: (~greater(X0,X0)|~greater(X1,X1))),
% 6.78/1.59 inference(resolution,[status(thm)],[f67,f218])).
% 6.78/1.59 fof(f250,plain,(
% 6.78/1.59 spl0_5),
% 6.78/1.59 inference(split_clause,[status(thm)],[f249,f241])).
% 6.78/1.59 fof(f272,plain,(
% 6.78/1.59 ![X0,X1,X2]: (greater(X0,X1)|~greater(X0,X2)|~greater(X2,X1))),
% 6.78/1.59 inference(resolution,[status(thm)],[f230,f67])).
% 6.78/1.59 fof(f306,plain,(
% 6.78/1.59 ![X0,X1,X2]: (~greater(X0,X1)|greater(vmul(X2,X0),vmul(X2,X1)))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f88,f235])).
% 6.78/1.59 fof(f591,plain,(
% 6.78/1.59 ![X0,X1]: (~greater(X0,vmul(X0,X1))|greater(v1,X1))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f90,f232])).
% 6.78/1.59 fof(f592,plain,(
% 6.78/1.59 ![X0,X1]: (~greater(vmul(X0,X1),X0)|greater(X1,v1))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f90,f230])).
% 6.78/1.59 fof(f599,plain,(
% 6.78/1.59 ![X0,X1]: (~greater(vmul(X0,X1),X1)|greater(X0,v1))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f90,f76])).
% 6.78/1.59 fof(f600,plain,(
% 6.78/1.59 ![X0,X1]: (~greater(X0,vmul(X1,X0))|greater(v1,X1))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f90,f76])).
% 6.78/1.59 fof(f662,plain,(
% 6.78/1.59 ![X0,X1,X2]: (~less(vmul(X0,X1),vmul(X1,X2))|less(X0,X2))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f88,f70])).
% 6.78/1.59 fof(f714,plain,(
% 6.78/1.59 ![X0]: (greater(X0,vd520)|~greater(X0,vd519)|~spl0_3)),
% 6.78/1.59 inference(resolution,[status(thm)],[f208,f272])).
% 6.78/1.59 fof(f716,plain,(
% 6.78/1.59 spl0_8 <=> greater(vd520,vd519)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f719,plain,(
% 6.78/1.59 spl0_9 <=> greater(vd520,vd520)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f720,plain,(
% 6.78/1.59 greater(vd520,vd520)|~spl0_9),
% 6.78/1.59 inference(component_clause,[status(thm)],[f719])).
% 6.78/1.59 fof(f722,plain,(
% 6.78/1.59 ~greater(vd520,vd519)|greater(vd520,vd520)|~spl0_3),
% 6.78/1.59 inference(resolution,[status(thm)],[f714,f272])).
% 6.78/1.59 fof(f723,plain,(
% 6.78/1.59 ~spl0_8|spl0_9|~spl0_3),
% 6.78/1.59 inference(split_clause,[status(thm)],[f722,f716,f719,f207])).
% 6.78/1.59 fof(f743,plain,(
% 6.78/1.59 $false|~spl0_9),
% 6.78/1.59 inference(forward_subsumption_resolution,[status(thm)],[f720,f218])).
% 6.78/1.59 fof(f744,plain,(
% 6.78/1.59 ~spl0_9),
% 6.78/1.59 inference(contradiction_clause,[status(thm)],[f743])).
% 6.78/1.59 fof(f750,plain,(
% 6.78/1.59 spl0_12 <=> greater(vd518,vd518)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f751,plain,(
% 6.78/1.59 greater(vd518,vd518)|~spl0_12),
% 6.78/1.59 inference(component_clause,[status(thm)],[f750])).
% 6.78/1.59 fof(f774,plain,(
% 6.78/1.59 $false|~spl0_12),
% 6.78/1.59 inference(forward_subsumption_resolution,[status(thm)],[f751,f218])).
% 6.78/1.59 fof(f775,plain,(
% 6.78/1.59 ~spl0_12),
% 6.78/1.59 inference(contradiction_clause,[status(thm)],[f774])).
% 6.78/1.59 fof(f1121,plain,(
% 6.78/1.59 spl0_36 <=> ~greater(X0,vmul(X0,v1))),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f1129,plain,(
% 6.78/1.59 spl0_38 <=> greater(v1,v1)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f1130,plain,(
% 6.78/1.59 greater(v1,v1)|~spl0_38),
% 6.78/1.59 inference(component_clause,[status(thm)],[f1129])).
% 6.78/1.59 fof(f1132,plain,(
% 6.78/1.59 ![X0]: (~greater(X0,vmul(X0,v1))|greater(v1,v1))),
% 6.78/1.59 inference(resolution,[status(thm)],[f591,f272])).
% 6.78/1.59 fof(f1133,plain,(
% 6.78/1.59 spl0_36|spl0_38),
% 6.78/1.59 inference(split_clause,[status(thm)],[f1132,f1121,f1129])).
% 6.78/1.59 fof(f1141,plain,(
% 6.78/1.59 spl0_39 <=> ~greater(vmul(X0,v1),X0)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f1205,plain,(
% 6.78/1.59 ![X0]: (~greater(vmul(X0,v1),X0)|greater(v1,v1))),
% 6.78/1.59 inference(resolution,[status(thm)],[f592,f272])).
% 6.78/1.59 fof(f1206,plain,(
% 6.78/1.59 spl0_39|spl0_38),
% 6.78/1.59 inference(split_clause,[status(thm)],[f1205,f1141,f1129])).
% 6.78/1.59 fof(f1257,plain,(
% 6.78/1.59 spl0_53 <=> ~greater(vmul(v1,X0),X0)),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f1297,plain,(
% 6.78/1.59 ![X0]: (~greater(vmul(v1,X0),X0)|greater(v1,v1))),
% 6.78/1.59 inference(resolution,[status(thm)],[f599,f272])).
% 6.78/1.59 fof(f1298,plain,(
% 6.78/1.59 spl0_53|spl0_38),
% 6.78/1.59 inference(split_clause,[status(thm)],[f1297,f1257,f1129])).
% 6.78/1.59 fof(f1308,plain,(
% 6.78/1.59 spl0_55 <=> ~greater(X0,vmul(v1,X0))),
% 6.78/1.59 introduced(split_symbol_definition)).
% 6.78/1.59 fof(f1315,plain,(
% 6.78/1.59 ![X0]: (~greater(X0,vmul(v1,X0))|greater(v1,v1))),
% 6.78/1.59 inference(resolution,[status(thm)],[f600,f272])).
% 6.78/1.59 fof(f1316,plain,(
% 6.78/1.59 spl0_55|spl0_38),
% 6.78/1.59 inference(split_clause,[status(thm)],[f1315,f1308,f1129])).
% 6.78/1.59 fof(f1323,plain,(
% 6.78/1.59 $false|~spl0_38),
% 6.78/1.59 inference(forward_subsumption_resolution,[status(thm)],[f1130,f218])).
% 6.78/1.59 fof(f1324,plain,(
% 6.78/1.59 ~spl0_38),
% 6.78/1.59 inference(contradiction_clause,[status(thm)],[f1323])).
% 6.78/1.59 fof(f1753,plain,(
% 6.78/1.59 ![X0,X1]: (~less(X0,vmul(X0,X1))|less(v1,X1))),
% 6.78/1.59 inference(paramodulation,[status(thm)],[f90,f662])).
% 6.78/1.59 fof(f1788,plain,(
% 6.78/1.59 ![X0,X1]: (~less(X0,vmul(X0,X1))|greater(X1,v1))),
% 6.78/1.60 inference(resolution,[status(thm)],[f1753,f150])).
% 6.78/1.60 fof(f1791,plain,(
% 6.78/1.60 spl0_56 <=> ~less(X0,vmul(X0,v1))),
% 6.78/1.60 introduced(split_symbol_definition)).
% 6.78/1.60 fof(f1831,plain,(
% 6.78/1.60 ![X0]: (~less(X0,vmul(X0,v1))|greater(v1,v1))),
% 6.78/1.60 inference(resolution,[status(thm)],[f1788,f272])).
% 6.78/1.60 fof(f1832,plain,(
% 6.78/1.60 spl0_56|spl0_38),
% 6.78/1.60 inference(split_clause,[status(thm)],[f1831,f1791,f1129])).
% 6.78/1.60 fof(f1940,plain,(
% 6.78/1.60 spl0_58 <=> vd519=vd520),
% 6.78/1.60 introduced(split_symbol_definition)).
% 6.78/1.60 fof(f1941,plain,(
% 6.78/1.60 vd519=vd520|~spl0_58),
% 6.78/1.60 inference(component_clause,[status(thm)],[f1940])).
% 6.78/1.60 fof(f1943,plain,(
% 6.78/1.60 greater(vd519,vd520)|vd519=vd520|~spl0_1),
% 6.78/1.60 inference(resolution,[status(thm)],[f146,f200])).
% 6.78/1.60 fof(f1944,plain,(
% 6.78/1.60 spl0_3|spl0_58|~spl0_1),
% 6.78/1.60 inference(split_clause,[status(thm)],[f1943,f207,f1940,f199])).
% 6.78/1.60 fof(f1945,plain,(
% 6.78/1.60 ![X0]: (greater(X0,v1)|X0=v1)),
% 6.78/1.60 inference(resolution,[status(thm)],[f146,f98])).
% 6.78/1.60 fof(f1949,plain,(
% 6.78/1.60 ~greater(vmul(vd517,vd519),vmul(vd518,vd519))|~spl0_58),
% 6.78/1.60 inference(backward_demodulation,[status(thm)],[f1941,f61])).
% 6.78/1.60 fof(f1950,plain,(
% 6.78/1.60 ~greater(vmul(vd517,vd519),vmul(vd519,vd518))|~spl0_58),
% 6.78/1.60 inference(forward_demodulation,[status(thm)],[f88,f1949])).
% 6.78/1.60 fof(f1951,plain,(
% 6.78/1.60 spl0_59 <=> v1=v1),
% 6.78/1.60 introduced(split_symbol_definition)).
% 6.78/1.60 fof(f1992,plain,(
% 6.78/1.60 v1=v1|greater(v1,v1)),
% 6.78/1.60 inference(resolution,[status(thm)],[f1945,f272])).
% 6.78/1.60 fof(f1993,plain,(
% 6.78/1.60 spl0_59|spl0_38),
% 6.78/1.60 inference(split_clause,[status(thm)],[f1992,f1951,f1129])).
% 6.78/1.60 fof(f2339,plain,(
% 6.78/1.60 ~greater(vd517,vd518)|~spl0_58),
% 6.78/1.60 inference(resolution,[status(thm)],[f1950,f237])).
% 6.78/1.60 fof(f2340,plain,(
% 6.78/1.60 ~spl0_2|~spl0_58),
% 6.78/1.60 inference(split_clause,[status(thm)],[f2339,f203,f1940])).
% 6.78/1.60 fof(f2349,plain,(
% 6.78/1.60 spl0_65 <=> vd517=vd518),
% 6.78/1.60 introduced(split_symbol_definition)).
% 6.78/1.60 fof(f2350,plain,(
% 6.78/1.60 vd517=vd518|~spl0_65),
% 6.78/1.60 inference(component_clause,[status(thm)],[f2349])).
% 6.78/1.60 fof(f2352,plain,(
% 6.78/1.60 greater(vd517,vd518)|vd517=vd518|~spl0_4),
% 6.78/1.60 inference(resolution,[status(thm)],[f212,f146])).
% 6.78/1.60 fof(f2353,plain,(
% 6.78/1.60 spl0_2|spl0_65|~spl0_4),
% 6.78/1.60 inference(split_clause,[status(thm)],[f2352,f203,f2349,f211])).
% 6.78/1.60 fof(f2356,plain,(
% 6.78/1.60 ~greater(vmul(vd517,vd519),vmul(vd517,vd520))|~spl0_65),
% 6.78/1.60 inference(backward_demodulation,[status(thm)],[f2350,f61])).
% 6.78/1.60 fof(f2358,plain,(
% 6.78/1.60 ~greater(vd519,vd520)|~spl0_65),
% 6.78/1.60 inference(resolution,[status(thm)],[f2356,f306])).
% 6.78/1.60 fof(f2359,plain,(
% 6.78/1.60 ~spl0_3|~spl0_65),
% 6.78/1.60 inference(split_clause,[status(thm)],[f2358,f207,f2349])).
% 6.78/1.60 fof(f2365,plain,(
% 6.78/1.60 $false),
% 6.78/1.60 inference(sat_refutation,[status(thm)],[f202,f206,f210,f214,f240,f250,f723,f744,f775,f1133,f1206,f1298,f1316,f1324,f1832,f1944,f1993,f2340,f2353,f2359])).
% 6.78/1.60 % SZS output end CNFRefutation for theBenchmark.p
% 6.78/1.63 % Elapsed time: 1.267198 seconds
% 6.78/1.63 % CPU time: 6.977258 seconds
% 6.78/1.63 % Memory used: 105.027 MB
%------------------------------------------------------------------------------