TSTP Solution File: COM012+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 0.12s 0.35s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n012.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 11:44:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f7,axiom,(
% 0.12/0.35 (! [W0,W1,W2,W3] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2)& aElement0(W3) )=> ( ( sdtmndtplgtdt0(W0,W1,W2)& sdtmndtplgtdt0(W2,W1,W3) )=> sdtmndtplgtdt0(W0,W1,W3) ) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f8,definition,(
% 0.12/0.35 (! [W0,W1,W2] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2) )=> ( sdtmndtasgtdt0(W0,W1,W2)<=> ( W0 = W2| sdtmndtplgtdt0(W0,W1,W2) ) ) ) )),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f9,hypothesis,(
% 0.12/0.35 ( aElement0(xx)& aRewritingSystem0(xR)& aElement0(xy)& aElement0(xz) ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f10,conjecture,(
% 0.12/0.35 ( ( sdtmndtasgtdt0(xx,xR,xy)& sdtmndtasgtdt0(xy,xR,xz) )=> sdtmndtasgtdt0(xx,xR,xz) ) ),
% 0.12/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f11,negated_conjecture,(
% 0.12/0.35 ~(( ( sdtmndtasgtdt0(xx,xR,xy)& sdtmndtasgtdt0(xy,xR,xz) )=> sdtmndtasgtdt0(xx,xR,xz) ) )),
% 0.12/0.35 inference(negated_conjecture,[status(cth)],[f10])).
% 0.12/0.35 fof(f32,plain,(
% 0.12/0.35 ![W0,W1,W2,W3]: ((((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|~aElement0(W3))|((~sdtmndtplgtdt0(W0,W1,W2)|~sdtmndtplgtdt0(W2,W1,W3))|sdtmndtplgtdt0(W0,W1,W3)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.12/0.35 fof(f33,plain,(
% 0.12/0.35 ![X0,X1,X2,X3]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~aElement0(X3)|~sdtmndtplgtdt0(X0,X1,X2)|~sdtmndtplgtdt0(X2,X1,X3)|sdtmndtplgtdt0(X0,X1,X3))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f32])).
% 0.12/0.35 fof(f34,plain,(
% 0.12/0.35 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|(sdtmndtasgtdt0(W0,W1,W2)<=>(W0=W2|sdtmndtplgtdt0(W0,W1,W2))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.12/0.35 fof(f35,plain,(
% 0.12/0.35 ![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)))))),
% 0.12/0.35 inference(NNF_transformation,[status(esa)],[f34])).
% 0.12/0.35 fof(f36,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~sdtmndtasgtdt0(X0,X1,X2)|X0=X2|sdtmndtplgtdt0(X0,X1,X2))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f35])).
% 0.12/0.35 fof(f38,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtasgtdt0(X0,X1,X2)|~sdtmndtplgtdt0(X0,X1,X2))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f35])).
% 0.12/0.35 fof(f39,plain,(
% 0.12/0.35 aElement0(xx)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.35 fof(f40,plain,(
% 0.12/0.35 aRewritingSystem0(xR)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.35 fof(f41,plain,(
% 0.12/0.35 aElement0(xy)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.35 fof(f42,plain,(
% 0.12/0.35 aElement0(xz)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.12/0.35 fof(f43,plain,(
% 0.12/0.35 ((sdtmndtasgtdt0(xx,xR,xy)&sdtmndtasgtdt0(xy,xR,xz))&~sdtmndtasgtdt0(xx,xR,xz))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.12/0.35 fof(f44,plain,(
% 0.12/0.35 sdtmndtasgtdt0(xx,xR,xy)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f43])).
% 0.12/0.35 fof(f45,plain,(
% 0.12/0.35 sdtmndtasgtdt0(xy,xR,xz)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f43])).
% 0.12/0.35 fof(f46,plain,(
% 0.12/0.35 ~sdtmndtasgtdt0(xx,xR,xz)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f43])).
% 0.12/0.35 fof(f49,plain,(
% 0.12/0.35 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~sdtmndtasgtdt0(X0,xR,X1)|X0=X1|sdtmndtplgtdt0(X0,xR,X1))),
% 0.12/0.35 inference(resolution,[status(thm)],[f36,f40])).
% 0.12/0.35 fof(f53,plain,(
% 0.12/0.35 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(X0,xR,xz)|X0=xz|sdtmndtplgtdt0(X0,xR,xz))),
% 0.12/0.35 inference(resolution,[status(thm)],[f49,f42])).
% 0.12/0.35 fof(f54,plain,(
% 0.12/0.35 ![X0]: (~aElement0(X0)|~sdtmndtasgtdt0(X0,xR,xy)|X0=xy|sdtmndtplgtdt0(X0,xR,xy))),
% 0.12/0.35 inference(resolution,[status(thm)],[f49,f41])).
% 0.12/0.35 fof(f56,plain,(
% 0.12/0.35 spl0_0 <=> aElement0(xy)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f58,plain,(
% 0.12/0.35 ~aElement0(xy)|spl0_0),
% 0.12/0.35 inference(component_clause,[status(thm)],[f56])).
% 0.12/0.35 fof(f59,plain,(
% 0.12/0.35 spl0_1 <=> xy=xz),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f60,plain,(
% 0.12/0.35 xy=xz|~spl0_1),
% 0.12/0.35 inference(component_clause,[status(thm)],[f59])).
% 0.12/0.35 fof(f62,plain,(
% 0.12/0.35 spl0_2 <=> sdtmndtplgtdt0(xy,xR,xz)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f63,plain,(
% 0.12/0.35 sdtmndtplgtdt0(xy,xR,xz)|~spl0_2),
% 0.12/0.35 inference(component_clause,[status(thm)],[f62])).
% 0.12/0.35 fof(f65,plain,(
% 0.12/0.35 ~aElement0(xy)|xy=xz|sdtmndtplgtdt0(xy,xR,xz)),
% 0.12/0.35 inference(resolution,[status(thm)],[f53,f45])).
% 0.12/0.35 fof(f66,plain,(
% 0.12/0.35 ~spl0_0|spl0_1|spl0_2),
% 0.12/0.35 inference(split_clause,[status(thm)],[f65,f56,f59,f62])).
% 0.12/0.35 fof(f67,plain,(
% 0.12/0.35 spl0_3 <=> aElement0(xz)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f69,plain,(
% 0.12/0.35 ~aElement0(xz)|spl0_3),
% 0.12/0.35 inference(component_clause,[status(thm)],[f67])).
% 0.12/0.35 fof(f76,plain,(
% 0.12/0.35 spl0_6 <=> aRewritingSystem0(xR)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f78,plain,(
% 0.12/0.35 ~aRewritingSystem0(xR)|spl0_6),
% 0.12/0.35 inference(component_clause,[status(thm)],[f76])).
% 0.12/0.35 fof(f81,plain,(
% 0.12/0.35 $false|spl0_6),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f78,f40])).
% 0.12/0.35 fof(f82,plain,(
% 0.12/0.35 spl0_6),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f81])).
% 0.12/0.35 fof(f83,plain,(
% 0.12/0.35 $false|spl0_3),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f69,f42])).
% 0.12/0.35 fof(f84,plain,(
% 0.12/0.35 spl0_3),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f83])).
% 0.12/0.35 fof(f85,plain,(
% 0.12/0.35 $false|spl0_0),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f58,f41])).
% 0.12/0.35 fof(f86,plain,(
% 0.12/0.35 spl0_0),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f85])).
% 0.12/0.35 fof(f87,plain,(
% 0.12/0.35 spl0_7 <=> aElement0(xx)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f89,plain,(
% 0.12/0.35 ~aElement0(xx)|spl0_7),
% 0.12/0.35 inference(component_clause,[status(thm)],[f87])).
% 0.12/0.35 fof(f90,plain,(
% 0.12/0.35 spl0_8 <=> xx=xy),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f91,plain,(
% 0.12/0.35 xx=xy|~spl0_8),
% 0.12/0.35 inference(component_clause,[status(thm)],[f90])).
% 0.12/0.35 fof(f93,plain,(
% 0.12/0.35 spl0_9 <=> sdtmndtplgtdt0(xx,xR,xy)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f94,plain,(
% 0.12/0.35 sdtmndtplgtdt0(xx,xR,xy)|~spl0_9),
% 0.12/0.35 inference(component_clause,[status(thm)],[f93])).
% 0.12/0.35 fof(f96,plain,(
% 0.12/0.35 ~aElement0(xx)|xx=xy|sdtmndtplgtdt0(xx,xR,xy)),
% 0.12/0.35 inference(resolution,[status(thm)],[f54,f44])).
% 0.12/0.35 fof(f97,plain,(
% 0.12/0.35 ~spl0_7|spl0_8|spl0_9),
% 0.12/0.35 inference(split_clause,[status(thm)],[f96,f87,f90,f93])).
% 0.12/0.35 fof(f106,plain,(
% 0.12/0.35 $false|spl0_7),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f89,f39])).
% 0.12/0.35 fof(f107,plain,(
% 0.12/0.35 spl0_7),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f106])).
% 0.12/0.35 fof(f128,plain,(
% 0.12/0.35 ~sdtmndtasgtdt0(xx,xR,xy)|~spl0_1),
% 0.12/0.35 inference(backward_demodulation,[status(thm)],[f60,f46])).
% 0.12/0.35 fof(f129,plain,(
% 0.12/0.35 $false|~spl0_1),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f128,f44])).
% 0.12/0.35 fof(f130,plain,(
% 0.12/0.35 ~spl0_1),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f129])).
% 0.12/0.35 fof(f138,plain,(
% 0.12/0.35 sdtmndtasgtdt0(xx,xR,xz)|~spl0_8),
% 0.12/0.35 inference(backward_demodulation,[status(thm)],[f91,f45])).
% 0.12/0.35 fof(f139,plain,(
% 0.12/0.35 $false|~spl0_8),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f138,f46])).
% 0.12/0.35 fof(f140,plain,(
% 0.12/0.35 ~spl0_8),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f139])).
% 0.12/0.35 fof(f158,plain,(
% 0.12/0.35 spl0_17 <=> ~aElement0(X0)|~sdtmndtplgtdt0(X0,xR,xy)|sdtmndtplgtdt0(X0,xR,xz)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f159,plain,(
% 0.12/0.35 ![X0]: (~aElement0(X0)|~sdtmndtplgtdt0(X0,xR,xy)|sdtmndtplgtdt0(X0,xR,xz)|~spl0_17)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f158])).
% 0.12/0.35 fof(f161,plain,(
% 0.12/0.35 ![X0]: (~aElement0(X0)|~aRewritingSystem0(xR)|~aElement0(xy)|~aElement0(xz)|~sdtmndtplgtdt0(X0,xR,xy)|sdtmndtplgtdt0(X0,xR,xz)|~spl0_2)),
% 0.12/0.35 inference(resolution,[status(thm)],[f63,f33])).
% 0.12/0.35 fof(f162,plain,(
% 0.12/0.35 spl0_17|~spl0_6|~spl0_0|~spl0_3|~spl0_2),
% 0.12/0.35 inference(split_clause,[status(thm)],[f161,f158,f76,f56,f67,f62])).
% 0.12/0.35 fof(f215,plain,(
% 0.12/0.35 spl0_28 <=> sdtmndtplgtdt0(xx,xR,xz)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f216,plain,(
% 0.12/0.35 sdtmndtplgtdt0(xx,xR,xz)|~spl0_28),
% 0.12/0.35 inference(component_clause,[status(thm)],[f215])).
% 0.12/0.35 fof(f218,plain,(
% 0.12/0.35 ~aElement0(xx)|sdtmndtplgtdt0(xx,xR,xz)|~spl0_17|~spl0_9),
% 0.12/0.35 inference(resolution,[status(thm)],[f159,f94])).
% 0.12/0.35 fof(f219,plain,(
% 0.12/0.35 ~spl0_7|spl0_28|~spl0_17|~spl0_9),
% 0.12/0.35 inference(split_clause,[status(thm)],[f218,f87,f215,f158,f93])).
% 0.12/0.35 fof(f252,plain,(
% 0.12/0.35 spl0_35 <=> sdtmndtasgtdt0(xx,xR,xz)),
% 0.24/0.57 introduced(split_symbol_definition)).
% 0.24/0.57 fof(f253,plain,(
% 0.24/0.57 sdtmndtasgtdt0(xx,xR,xz)|~spl0_35),
% 0.24/0.57 inference(component_clause,[status(thm)],[f252])).
% 0.24/0.57 fof(f255,plain,(
% 0.24/0.57 ~aElement0(xx)|~aRewritingSystem0(xR)|~aElement0(xz)|sdtmndtasgtdt0(xx,xR,xz)|~spl0_28),
% 0.24/0.57 inference(resolution,[status(thm)],[f216,f38])).
% 0.24/0.57 fof(f256,plain,(
% 0.24/0.57 ~spl0_7|~spl0_6|~spl0_3|spl0_35|~spl0_28),
% 0.24/0.57 inference(split_clause,[status(thm)],[f255,f87,f76,f67,f252,f215])).
% 0.24/0.57 fof(f257,plain,(
% 0.24/0.57 $false|~spl0_35),
% 0.24/0.57 inference(forward_subsumption_resolution,[status(thm)],[f253,f46])).
% 0.24/0.57 fof(f258,plain,(
% 0.24/0.57 ~spl0_35),
% 0.24/0.57 inference(contradiction_clause,[status(thm)],[f257])).
% 0.24/0.57 fof(f259,plain,(
% 0.24/0.57 $false),
% 0.24/0.57 inference(sat_refutation,[status(thm)],[f66,f82,f84,f86,f97,f107,f130,f140,f162,f219,f256,f258])).
% 0.24/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.57 % Elapsed time: 0.013931 seconds
% 0.24/0.57 % CPU time: 0.041538 seconds
% 0.24/0.57 % Memory used: 11.588 MB
%------------------------------------------------------------------------------