TSTP Solution File: NUM856+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM856+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:35:58 EDT 2024
% Result : Theorem 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM856+2 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 20:59:19 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.52 fof(f1,conjecture,(
% 0.20/0.52 greater(vmul(vd517,vd519),vmul(vd518,vd520)) ),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f2,negated_conjecture,(
% 0.20/0.52 ~(greater(vmul(vd517,vd519),vmul(vd518,vd520)) )),
% 0.20/0.52 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.52 fof(f3,axiom,(
% 0.20/0.52 ( ( greater(vd519,vd520)& geq(vd517,vd518) )| ( geq(vd519,vd520)& greater(vd517,vd518) ) ) ),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f4,axiom,(
% 0.20/0.52 (! [Vd501,Vd502,Vd504,Vd505] :( ( greater(Vd504,Vd505)& greater(Vd501,Vd502) )=> greater(vmul(Vd501,Vd504),vmul(Vd502,Vd505)) ) )),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f10,axiom,(
% 0.20/0.52 (! [Vd456,Vd457,Vd458] :( greater(Vd457,Vd458)=> greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ) )),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f13,axiom,(
% 0.20/0.52 (! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418) )),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f36,axiom,(
% 0.20/0.52 (! [Vd244,Vd245] :( geq(Vd245,Vd244)<=> ( greater(Vd245,Vd244)| Vd245 = Vd244 ) ) )),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f42,axiom,(
% 0.20/0.52 (! [Vd203,Vd204] :( Vd203 != Vd204| ~ greater(Vd203,Vd204) ) )),
% 0.20/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f61,plain,(
% 0.20/0.52 ~greater(vmul(vd517,vd519),vmul(vd518,vd520))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.52 fof(f62,plain,(
% 0.20/0.52 pd0_0=>(greater(vd519,vd520)&geq(vd517,vd518))),
% 0.20/0.52 introduced(predicate_definition,[f3])).
% 0.20/0.52 fof(f63,plain,(
% 0.20/0.52 pd0_0|(geq(vd519,vd520)&greater(vd517,vd518))),
% 0.20/0.52 inference(formula_renaming,[status(thm)],[f3,f62])).
% 0.20/0.52 fof(f64,plain,(
% 0.20/0.52 pd0_0|geq(vd519,vd520)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f63])).
% 0.20/0.52 fof(f65,plain,(
% 0.20/0.52 pd0_0|greater(vd517,vd518)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f63])).
% 0.20/0.52 fof(f66,plain,(
% 0.20/0.52 ![Vd501,Vd502,Vd504,Vd505]: ((~greater(Vd504,Vd505)|~greater(Vd501,Vd502))|greater(vmul(Vd501,Vd504),vmul(Vd502,Vd505)))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.20/0.52 fof(f67,plain,(
% 0.20/0.52 ![X0,X1,X2,X3]: (~greater(X0,X1)|~greater(X2,X3)|greater(vmul(X2,X0),vmul(X3,X1)))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f66])).
% 0.20/0.52 fof(f83,plain,(
% 0.20/0.52 ![Vd456,Vd457,Vd458]: (~greater(Vd457,Vd458)|greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.20/0.52 fof(f84,plain,(
% 0.20/0.52 ![Vd457,Vd458]: (~greater(Vd457,Vd458)|(![Vd456]: greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456))))),
% 0.20/0.52 inference(miniscoping,[status(esa)],[f83])).
% 0.20/0.52 fof(f85,plain,(
% 0.20/0.52 ![X0,X1,X2]: (~greater(X0,X1)|greater(vmul(X0,X2),vmul(X1,X2)))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f84])).
% 0.20/0.52 fof(f88,plain,(
% 0.20/0.52 ![X0,X1]: (vmul(X0,X1)=vmul(X1,X0))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.52 fof(f144,plain,(
% 0.20/0.52 ![Vd244,Vd245]: ((~geq(Vd245,Vd244)|(greater(Vd245,Vd244)|Vd245=Vd244))&(geq(Vd245,Vd244)|(~greater(Vd245,Vd244)&~Vd245=Vd244)))),
% 0.20/0.52 inference(NNF_transformation,[status(esa)],[f36])).
% 0.20/0.52 fof(f145,plain,(
% 0.20/0.52 (![Vd244,Vd245]: (~geq(Vd245,Vd244)|(greater(Vd245,Vd244)|Vd245=Vd244)))&(![Vd244,Vd245]: (geq(Vd245,Vd244)|(~greater(Vd245,Vd244)&~Vd245=Vd244)))),
% 0.20/0.52 inference(miniscoping,[status(esa)],[f144])).
% 0.20/0.52 fof(f146,plain,(
% 0.20/0.52 ![X0,X1]: (~geq(X0,X1)|greater(X0,X1)|X0=X1)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f145])).
% 0.20/0.52 fof(f156,plain,(
% 0.20/0.52 ![X0,X1]: (~X0=X1|~greater(X0,X1))),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.52 fof(f193,plain,(
% 0.20/0.52 ~pd0_0|(greater(vd519,vd520)&geq(vd517,vd518))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(esa)],[f62])).
% 0.20/0.52 fof(f194,plain,(
% 0.20/0.52 ~pd0_0|greater(vd519,vd520)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f193])).
% 0.20/0.52 fof(f195,plain,(
% 0.20/0.52 ~pd0_0|geq(vd517,vd518)),
% 0.20/0.52 inference(cnf_transformation,[status(esa)],[f193])).
% 0.20/0.52 fof(f196,plain,(
% 0.20/0.52 spl0_0 <=> pd0_0),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f199,plain,(
% 0.20/0.52 spl0_1 <=> geq(vd519,vd520)),
% 0.20/0.52 introduced(split_symbol_definition)).
% 0.20/0.52 fof(f200,plain,(
% 0.20/0.52 geq(vd519,vd520)|~spl0_1),
% 0.20/0.52 inference(component_clause,[status(thm)],[f199])).
% 0.20/0.53 fof(f202,plain,(
% 0.20/0.53 spl0_0|spl0_1),
% 0.20/0.53 inference(split_clause,[status(thm)],[f64,f196,f199])).
% 0.20/0.53 fof(f203,plain,(
% 0.20/0.53 spl0_2 <=> greater(vd517,vd518)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f206,plain,(
% 0.20/0.53 spl0_0|spl0_2),
% 0.20/0.53 inference(split_clause,[status(thm)],[f65,f196,f203])).
% 0.20/0.53 fof(f207,plain,(
% 0.20/0.53 spl0_3 <=> greater(vd519,vd520)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f210,plain,(
% 0.20/0.53 ~spl0_0|spl0_3),
% 0.20/0.53 inference(split_clause,[status(thm)],[f194,f196,f207])).
% 0.20/0.53 fof(f211,plain,(
% 0.20/0.53 spl0_4 <=> geq(vd517,vd518)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f212,plain,(
% 0.20/0.53 geq(vd517,vd518)|~spl0_4),
% 0.20/0.53 inference(component_clause,[status(thm)],[f211])).
% 0.20/0.53 fof(f214,plain,(
% 0.20/0.53 ~spl0_0|spl0_4),
% 0.20/0.53 inference(split_clause,[status(thm)],[f195,f196,f211])).
% 0.20/0.53 fof(f218,plain,(
% 0.20/0.53 ![X0]: (~greater(X0,X0))),
% 0.20/0.53 inference(destructive_equality_resolution,[status(esa)],[f156])).
% 0.20/0.53 fof(f235,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~greater(X0,X1)|greater(vmul(X2,X0),vmul(X1,X2)))),
% 0.20/0.53 inference(paramodulation,[status(thm)],[f88,f85])).
% 0.20/0.53 fof(f237,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~greater(X0,X1)|greater(vmul(X0,X2),vmul(X2,X1)))),
% 0.20/0.53 inference(paramodulation,[status(thm)],[f88,f85])).
% 0.20/0.53 fof(f239,plain,(
% 0.20/0.53 ~greater(vd519,vd520)|~greater(vd517,vd518)),
% 0.20/0.53 inference(resolution,[status(thm)],[f67,f61])).
% 0.20/0.53 fof(f240,plain,(
% 0.20/0.53 ~spl0_3|~spl0_2),
% 0.20/0.53 inference(split_clause,[status(thm)],[f239,f207,f203])).
% 0.20/0.53 fof(f241,plain,(
% 0.20/0.53 spl0_5 <=> ~greater(X0,X0)),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f249,plain,(
% 0.20/0.53 ![X0,X1]: (~greater(X0,X0)|~greater(X1,X1))),
% 0.20/0.53 inference(resolution,[status(thm)],[f67,f218])).
% 0.20/0.53 fof(f250,plain,(
% 0.20/0.53 spl0_5),
% 0.20/0.53 inference(split_clause,[status(thm)],[f249,f241])).
% 0.20/0.53 fof(f306,plain,(
% 0.20/0.53 ![X0,X1,X2]: (~greater(X0,X1)|greater(vmul(X2,X0),vmul(X2,X1)))),
% 0.20/0.53 inference(paramodulation,[status(thm)],[f88,f235])).
% 0.20/0.53 fof(f669,plain,(
% 0.20/0.53 spl0_8 <=> vd519=vd520),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f670,plain,(
% 0.20/0.53 vd519=vd520|~spl0_8),
% 0.20/0.53 inference(component_clause,[status(thm)],[f669])).
% 0.20/0.53 fof(f672,plain,(
% 0.20/0.53 greater(vd519,vd520)|vd519=vd520|~spl0_1),
% 0.20/0.53 inference(resolution,[status(thm)],[f200,f146])).
% 0.20/0.53 fof(f673,plain,(
% 0.20/0.53 spl0_3|spl0_8|~spl0_1),
% 0.20/0.53 inference(split_clause,[status(thm)],[f672,f207,f669,f199])).
% 0.20/0.53 fof(f674,plain,(
% 0.20/0.53 spl0_9 <=> vd517=vd518),
% 0.20/0.53 introduced(split_symbol_definition)).
% 0.20/0.53 fof(f675,plain,(
% 0.20/0.53 vd517=vd518|~spl0_9),
% 0.20/0.53 inference(component_clause,[status(thm)],[f674])).
% 0.20/0.53 fof(f677,plain,(
% 0.20/0.53 greater(vd517,vd518)|vd517=vd518|~spl0_4),
% 0.20/0.53 inference(resolution,[status(thm)],[f212,f146])).
% 0.20/0.53 fof(f678,plain,(
% 0.20/0.53 spl0_2|spl0_9|~spl0_4),
% 0.20/0.53 inference(split_clause,[status(thm)],[f677,f203,f674,f211])).
% 0.20/0.53 fof(f680,plain,(
% 0.20/0.53 ~greater(vmul(vd517,vd519),vmul(vd517,vd520))|~spl0_9),
% 0.20/0.53 inference(backward_demodulation,[status(thm)],[f675,f61])).
% 0.20/0.53 fof(f682,plain,(
% 0.20/0.53 ~greater(vd519,vd520)|~spl0_9),
% 0.20/0.53 inference(resolution,[status(thm)],[f680,f306])).
% 0.20/0.53 fof(f683,plain,(
% 0.20/0.53 ~spl0_3|~spl0_9),
% 0.20/0.53 inference(split_clause,[status(thm)],[f682,f207,f674])).
% 0.20/0.53 fof(f691,plain,(
% 0.20/0.53 ~greater(vmul(vd517,vd519),vmul(vd518,vd519))|~spl0_8),
% 0.20/0.53 inference(forward_demodulation,[status(thm)],[f670,f61])).
% 0.20/0.53 fof(f692,plain,(
% 0.20/0.53 ~greater(vmul(vd517,vd519),vmul(vd519,vd518))|~spl0_8),
% 0.20/0.53 inference(forward_demodulation,[status(thm)],[f88,f691])).
% 0.20/0.53 fof(f693,plain,(
% 0.20/0.53 ~greater(vd517,vd518)|~spl0_8),
% 0.20/0.53 inference(resolution,[status(thm)],[f692,f237])).
% 0.20/0.53 fof(f694,plain,(
% 0.20/0.53 ~spl0_2|~spl0_8),
% 0.20/0.53 inference(split_clause,[status(thm)],[f693,f203,f669])).
% 0.20/0.53 fof(f703,plain,(
% 0.20/0.53 $false),
% 0.20/0.53 inference(sat_refutation,[status(thm)],[f202,f206,f210,f214,f240,f250,f673,f678,f683,f694])).
% 0.20/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 1.28/0.54 % Elapsed time: 0.186961 seconds
% 1.28/0.54 % CPU time: 1.324324 seconds
% 1.28/0.54 % Total memory used: 73.141 MB
% 1.28/0.54 % Net memory used: 72.544 MB
%------------------------------------------------------------------------------