TSTP Solution File: COM012+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : COM012+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:03:54 EDT 2023
% Result : Theorem 0.19s 0.36s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM012+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.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 : Tue May 30 11:46:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.36 % Refutation found
% 0.19/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.36 fof(f7,axiom,(
% 0.19/0.36 (! [W0,W1,W2,W3] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2)& aElement0(W3) )=> ( ( sdtmndtplgtdt0(W0,W1,W2)& sdtmndtplgtdt0(W2,W1,W3) )=> sdtmndtplgtdt0(W0,W1,W3) ) ) )),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f8,definition,(
% 0.19/0.36 (! [W0,W1,W2] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2) )=> ( sdtmndtasgtdt0(W0,W1,W2)<=> ( W0 = W2| sdtmndtplgtdt0(W0,W1,W2) ) ) ) )),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f9,hypothesis,(
% 0.19/0.36 ( aElement0(xx)& aRewritingSystem0(xR)& aElement0(xy)& aElement0(xz) ) ),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f10,conjecture,(
% 0.19/0.36 ( ( ( xx = xy| ( ( aReductOfIn0(xy,xx,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xx,xR)& sdtmndtplgtdt0(W0,xR,xy) ) ))& sdtmndtplgtdt0(xx,xR,xy) ) )& sdtmndtasgtdt0(xx,xR,xy)& ( xy = xz| ( ( aReductOfIn0(xz,xy,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xy,xR)& sdtmndtplgtdt0(W0,xR,xz) ) ))& sdtmndtplgtdt0(xy,xR,xz) ) )& sdtmndtasgtdt0(xy,xR,xz) )=> ( xx = xz| aReductOfIn0(xz,xx,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xx,xR)& sdtmndtplgtdt0(W0,xR,xz) ))| sdtmndtplgtdt0(xx,xR,xz)| sdtmndtasgtdt0(xx,xR,xz) ) ) ),
% 0.19/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36 fof(f11,negated_conjecture,(
% 0.19/0.36 ~(( ( ( xx = xy| ( ( aReductOfIn0(xy,xx,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xx,xR)& sdtmndtplgtdt0(W0,xR,xy) ) ))& sdtmndtplgtdt0(xx,xR,xy) ) )& sdtmndtasgtdt0(xx,xR,xy)& ( xy = xz| ( ( aReductOfIn0(xz,xy,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xy,xR)& sdtmndtplgtdt0(W0,xR,xz) ) ))& sdtmndtplgtdt0(xy,xR,xz) ) )& sdtmndtasgtdt0(xy,xR,xz) )=> ( xx = xz| aReductOfIn0(xz,xx,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xx,xR)& sdtmndtplgtdt0(W0,xR,xz) ))| sdtmndtplgtdt0(xx,xR,xz)| sdtmndtasgtdt0(xx,xR,xz) ) ) )),
% 0.19/0.36 inference(negated_conjecture,[status(cth)],[f10])).
% 0.19/0.36 fof(f32,plain,(
% 0.19/0.36 ![W0,W1,W2,W3]: ((((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|~aElement0(W3))|((~sdtmndtplgtdt0(W0,W1,W2)|~sdtmndtplgtdt0(W2,W1,W3))|sdtmndtplgtdt0(W0,W1,W3)))),
% 0.19/0.36 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.19/0.36 fof(f33,plain,(
% 0.19/0.36 ![X0,X1,X2,X3]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~aElement0(X3)|~sdtmndtplgtdt0(X0,X1,X2)|~sdtmndtplgtdt0(X2,X1,X3)|sdtmndtplgtdt0(X0,X1,X3))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f32])).
% 0.19/0.36 fof(f34,plain,(
% 0.19/0.36 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|(sdtmndtasgtdt0(W0,W1,W2)<=>(W0=W2|sdtmndtplgtdt0(W0,W1,W2))))),
% 0.19/0.36 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.19/0.36 fof(f35,plain,(
% 0.19/0.36 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtasgtdt0(W0,W1,W2)|(W0=W2|sdtmndtplgtdt0(W0,W1,W2)))&(sdtmndtasgtdt0(W0,W1,W2)|(~W0=W2&~sdtmndtplgtdt0(W0,W1,W2)))))),
% 0.19/0.36 inference(NNF_transformation,[status(esa)],[f34])).
% 0.19/0.36 fof(f36,plain,(
% 0.19/0.36 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,X1,X2)|X0=X2|sdtmndtplgtdt0(X0,X1,X2))),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f35])).
% 0.19/0.36 fof(f39,plain,(
% 0.19/0.36 aElement0(xx)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.36 fof(f40,plain,(
% 0.19/0.36 aRewritingSystem0(xR)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.36 fof(f41,plain,(
% 0.19/0.36 aElement0(xy)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.36 fof(f42,plain,(
% 0.19/0.36 aElement0(xz)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.36 fof(f43,plain,(
% 0.19/0.36 (((((xx=xy|((aReductOfIn0(xy,xx,xR)|(?[W0]: ((aElement0(W0)&aReductOfIn0(W0,xx,xR))&sdtmndtplgtdt0(W0,xR,xy))))&sdtmndtplgtdt0(xx,xR,xy)))&sdtmndtasgtdt0(xx,xR,xy))&(xy=xz|((aReductOfIn0(xz,xy,xR)|(?[W0]: ((aElement0(W0)&aReductOfIn0(W0,xy,xR))&sdtmndtplgtdt0(W0,xR,xz))))&sdtmndtplgtdt0(xy,xR,xz))))&sdtmndtasgtdt0(xy,xR,xz))&((((~xx=xz&~aReductOfIn0(xz,xx,xR))&(![W0]: ((~aElement0(W0)|~aReductOfIn0(W0,xx,xR))|~sdtmndtplgtdt0(W0,xR,xz))))&~sdtmndtplgtdt0(xx,xR,xz))&~sdtmndtasgtdt0(xx,xR,xz)))),
% 0.19/0.36 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.19/0.36 fof(f44,plain,(
% 0.19/0.36 ((((xx=xy|((aReductOfIn0(xy,xx,xR)|((aElement0(sk0_1)&aReductOfIn0(sk0_1,xx,xR))&sdtmndtplgtdt0(sk0_1,xR,xy)))&sdtmndtplgtdt0(xx,xR,xy)))&sdtmndtasgtdt0(xx,xR,xy))&(xy=xz|((aReductOfIn0(xz,xy,xR)|((aElement0(sk0_2)&aReductOfIn0(sk0_2,xy,xR))&sdtmndtplgtdt0(sk0_2,xR,xz)))&sdtmndtplgtdt0(xy,xR,xz))))&sdtmndtasgtdt0(xy,xR,xz))&((((~xx=xz&~aReductOfIn0(xz,xx,xR))&(![W0]: ((~aElement0(W0)|~aReductOfIn0(W0,xx,xR))|~sdtmndtplgtdt0(W0,xR,xz))))&~sdtmndtplgtdt0(xx,xR,xz))&~sdtmndtasgtdt0(xx,xR,xz))),
% 0.19/0.36 inference(skolemization,[status(esa)],[f43])).
% 0.19/0.36 fof(f49,plain,(
% 0.19/0.36 sdtmndtasgtdt0(xx,xR,xy)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f44])).
% 0.19/0.36 fof(f54,plain,(
% 0.19/0.36 sdtmndtasgtdt0(xy,xR,xz)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f44])).
% 0.19/0.36 fof(f58,plain,(
% 0.19/0.36 ~sdtmndtplgtdt0(xx,xR,xz)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f44])).
% 0.19/0.36 fof(f59,plain,(
% 0.19/0.36 ~sdtmndtasgtdt0(xx,xR,xz)),
% 0.19/0.36 inference(cnf_transformation,[status(esa)],[f44])).
% 0.19/0.36 fof(f60,plain,(
% 0.19/0.36 spl0_0 <=> xx=xy),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f61,plain,(
% 0.19/0.36 xx=xy|~spl0_0),
% 0.19/0.36 inference(component_clause,[status(thm)],[f60])).
% 0.19/0.36 fof(f78,plain,(
% 0.19/0.36 spl0_5 <=> sdtmndtplgtdt0(xx,xR,xy)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f79,plain,(
% 0.19/0.36 sdtmndtplgtdt0(xx,xR,xy)|~spl0_5),
% 0.19/0.36 inference(component_clause,[status(thm)],[f78])).
% 0.19/0.36 fof(f82,plain,(
% 0.19/0.36 spl0_6 <=> xy=xz),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f83,plain,(
% 0.19/0.36 xy=xz|~spl0_6),
% 0.19/0.36 inference(component_clause,[status(thm)],[f82])).
% 0.19/0.36 fof(f100,plain,(
% 0.19/0.36 spl0_11 <=> sdtmndtplgtdt0(xy,xR,xz)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f101,plain,(
% 0.19/0.36 sdtmndtplgtdt0(xy,xR,xz)|~spl0_11),
% 0.19/0.36 inference(component_clause,[status(thm)],[f100])).
% 0.19/0.36 fof(f106,plain,(
% 0.19/0.36 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~sdtmndtasgtdt0(X0,xR,X1)|X0=X1|sdtmndtplgtdt0(X0,xR,X1))),
% 0.19/0.36 inference(resolution,[status(thm)],[f40,f36])).
% 0.19/0.36 fof(f109,plain,(
% 0.19/0.36 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(X0,xR,xz)|X0=xz|sdtmndtplgtdt0(X0,xR,xz))),
% 0.19/0.36 inference(resolution,[status(thm)],[f106,f42])).
% 0.19/0.36 fof(f110,plain,(
% 0.19/0.36 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(X0,xR,xy)|X0=xy|sdtmndtplgtdt0(X0,xR,xy))),
% 0.19/0.36 inference(resolution,[status(thm)],[f106,f41])).
% 0.19/0.36 fof(f112,plain,(
% 0.19/0.36 spl0_12 <=> aElement0(xy)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f114,plain,(
% 0.19/0.36 ~aElement0(xy)|spl0_12),
% 0.19/0.36 inference(component_clause,[status(thm)],[f112])).
% 0.19/0.36 fof(f115,plain,(
% 0.19/0.36 ~aElement0(xy)|xy=xz|sdtmndtplgtdt0(xy,xR,xz)),
% 0.19/0.36 inference(resolution,[status(thm)],[f109,f54])).
% 0.19/0.36 fof(f116,plain,(
% 0.19/0.36 ~spl0_12|spl0_6|spl0_11),
% 0.19/0.36 inference(split_clause,[status(thm)],[f115,f112,f82,f100])).
% 0.19/0.36 fof(f117,plain,(
% 0.19/0.36 spl0_13 <=> aElement0(xz)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f119,plain,(
% 0.19/0.36 ~aElement0(xz)|spl0_13),
% 0.19/0.36 inference(component_clause,[status(thm)],[f117])).
% 0.19/0.36 fof(f128,plain,(
% 0.19/0.36 $false|spl0_13),
% 0.19/0.36 inference(forward_subsumption_resolution,[status(thm)],[f119,f42])).
% 0.19/0.36 fof(f129,plain,(
% 0.19/0.36 spl0_13),
% 0.19/0.36 inference(contradiction_clause,[status(thm)],[f128])).
% 0.19/0.36 fof(f131,plain,(
% 0.19/0.36 spl0_16 <=> aElement0(xx)),
% 0.19/0.36 introduced(split_symbol_definition)).
% 0.19/0.36 fof(f133,plain,(
% 0.19/0.36 ~aElement0(xx)|spl0_16),
% 0.19/0.36 inference(component_clause,[status(thm)],[f131])).
% 0.19/0.36 fof(f134,plain,(
% 0.19/0.36 ~aElement0(xx)|xx=xy|sdtmndtplgtdt0(xx,xR,xy)),
% 0.19/0.36 inference(resolution,[status(thm)],[f110,f49])).
% 0.19/0.36 fof(f135,plain,(
% 0.19/0.36 ~spl0_16|spl0_0|spl0_5),
% 0.19/0.36 inference(split_clause,[status(thm)],[f134,f131,f60,f78])).
% 0.19/0.36 fof(f144,plain,(
% 0.19/0.36 $false|spl0_16),
% 0.19/0.36 inference(forward_subsumption_resolution,[status(thm)],[f133,f39])).
% 0.19/0.36 fof(f145,plain,(
% 0.19/0.36 spl0_16),
% 0.19/0.36 inference(contradiction_clause,[status(thm)],[f144])).
% 0.19/0.36 fof(f146,plain,(
% 0.19/0.36 $false|spl0_12),
% 0.19/0.36 inference(forward_subsumption_resolution,[status(thm)],[f114,f41])).
% 0.19/0.36 fof(f147,plain,(
% 0.19/0.36 spl0_12),
% 0.19/0.36 inference(contradiction_clause,[status(thm)],[f146])).
% 0.19/0.36 fof(f160,plain,(
% 0.19/0.36 ~sdtmndtasgtdt0(xx,xR,xy)|~spl0_6),
% 0.19/0.36 inference(backward_demodulation,[status(thm)],[f83,f59])).
% 0.19/0.36 fof(f161,plain,(
% 0.19/0.36 $false|~spl0_6),
% 0.19/0.36 inference(forward_subsumption_resolution,[status(thm)],[f160,f49])).
% 0.19/0.36 fof(f162,plain,(
% 0.19/0.36 ~spl0_6),
% 0.19/0.36 inference(contradiction_clause,[status(thm)],[f161])).
% 0.19/0.36 fof(f168,plain,(
% 0.24/0.58 sdtmndtasgtdt0(xx,xR,xz)|~spl0_0),
% 0.24/0.58 inference(backward_demodulation,[status(thm)],[f61,f54])).
% 0.24/0.58 fof(f169,plain,(
% 0.24/0.58 $false|~spl0_0),
% 0.24/0.58 inference(forward_subsumption_resolution,[status(thm)],[f168,f59])).
% 0.24/0.58 fof(f170,plain,(
% 0.24/0.58 ~spl0_0),
% 0.24/0.58 inference(contradiction_clause,[status(thm)],[f169])).
% 0.24/0.58 fof(f171,plain,(
% 0.24/0.58 spl0_21 <=> aRewritingSystem0(xR)),
% 0.24/0.58 introduced(split_symbol_definition)).
% 0.24/0.58 fof(f173,plain,(
% 0.24/0.58 ~aRewritingSystem0(xR)|spl0_21),
% 0.24/0.58 inference(component_clause,[status(thm)],[f171])).
% 0.24/0.58 fof(f195,plain,(
% 0.24/0.58 spl0_25 <=> ~aElement0(X0)|~sdtmndtplgtdt0(X0,xR,xy)|sdtmndtplgtdt0(X0,xR,xz)),
% 0.24/0.58 introduced(split_symbol_definition)).
% 0.24/0.58 fof(f196,plain,(
% 0.24/0.58 ![X0]: (~aElement0(X0)|~sdtmndtplgtdt0(X0,xR,xy)|sdtmndtplgtdt0(X0,xR,xz)|~spl0_25)),
% 0.24/0.58 inference(component_clause,[status(thm)],[f195])).
% 0.24/0.58 fof(f198,plain,(
% 0.24/0.58 ![X0]: (~aElement0(X0)|~aRewritingSystem0(xR)|~aElement0(xy)|~aElement0(xz)|~sdtmndtplgtdt0(X0,xR,xy)|sdtmndtplgtdt0(X0,xR,xz)|~spl0_11)),
% 0.24/0.58 inference(resolution,[status(thm)],[f101,f33])).
% 0.24/0.58 fof(f199,plain,(
% 0.24/0.58 spl0_25|~spl0_21|~spl0_12|~spl0_13|~spl0_11),
% 0.24/0.58 inference(split_clause,[status(thm)],[f198,f195,f171,f112,f117,f100])).
% 0.24/0.58 fof(f210,plain,(
% 0.24/0.58 $false|spl0_21),
% 0.24/0.58 inference(forward_subsumption_resolution,[status(thm)],[f173,f40])).
% 0.24/0.58 fof(f211,plain,(
% 0.24/0.58 spl0_21),
% 0.24/0.58 inference(contradiction_clause,[status(thm)],[f210])).
% 0.24/0.58 fof(f324,plain,(
% 0.24/0.58 spl0_49 <=> sdtmndtplgtdt0(xx,xR,xz)),
% 0.24/0.58 introduced(split_symbol_definition)).
% 0.24/0.58 fof(f325,plain,(
% 0.24/0.58 sdtmndtplgtdt0(xx,xR,xz)|~spl0_49),
% 0.24/0.58 inference(component_clause,[status(thm)],[f324])).
% 0.24/0.58 fof(f327,plain,(
% 0.24/0.58 ~aElement0(xx)|sdtmndtplgtdt0(xx,xR,xz)|~spl0_25|~spl0_5),
% 0.24/0.58 inference(resolution,[status(thm)],[f196,f79])).
% 0.24/0.58 fof(f328,plain,(
% 0.24/0.58 ~spl0_16|spl0_49|~spl0_25|~spl0_5),
% 0.24/0.58 inference(split_clause,[status(thm)],[f327,f131,f324,f195,f78])).
% 0.24/0.58 fof(f329,plain,(
% 0.24/0.58 $false|~spl0_49),
% 0.24/0.58 inference(forward_subsumption_resolution,[status(thm)],[f325,f58])).
% 0.24/0.58 fof(f330,plain,(
% 0.24/0.58 ~spl0_49),
% 0.24/0.58 inference(contradiction_clause,[status(thm)],[f329])).
% 0.24/0.58 fof(f331,plain,(
% 0.24/0.58 $false),
% 0.24/0.58 inference(sat_refutation,[status(thm)],[f116,f129,f135,f145,f147,f162,f170,f199,f211,f328,f330])).
% 0.24/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.58 % Elapsed time: 0.015850 seconds
% 0.24/0.58 % CPU time: 0.044908 seconds
% 0.24/0.58 % Memory used: 11.716 MB
%------------------------------------------------------------------------------