TSTP Solution File: RNG103+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG103+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:38:00 EDT 2024
% Result : Theorem 44.03s 6.00s
% Output : CNFRefutation 44.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : RNG103+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36 % Computer : n020.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Apr 29 22:16:17 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.38 % Drodi V3.6.0
% 44.03/6.00 % Refutation found
% 44.03/6.00 % SZS status Theorem for theBenchmark: Theorem is valid
% 44.03/6.00 % SZS output start CNFRefutation for theBenchmark
% 44.03/6.00 fof(f14,axiom,(
% 44.03/6.00 (! [W0,W1,W2] :( ( aElement0(W0)& aElement0(W1)& aElement0(W2) )=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) )),
% 44.03/6.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/6.00 fof(f38,hypothesis,(
% 44.03/6.00 aElement0(xc) ),
% 44.03/6.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/6.00 fof(f40,hypothesis,(
% 44.03/6.00 ( aElement0(xu)& sdtasdt0(xc,xu) = xx ) ),
% 44.03/6.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/6.00 fof(f41,hypothesis,(
% 44.03/6.00 ( aElement0(xv)& sdtasdt0(xc,xv) = xy ) ),
% 44.03/6.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/6.00 fof(f42,conjecture,(
% 44.03/6.00 sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)) ),
% 44.03/6.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.03/6.00 fof(f43,negated_conjecture,(
% 44.03/6.00 ~(sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)) )),
% 44.03/6.00 inference(negated_conjecture,[status(cth)],[f42])).
% 44.03/6.00 fof(f72,plain,(
% 44.03/6.00 ![W0,W1,W2]: (((~aElement0(W0)|~aElement0(W1))|~aElement0(W2))|(sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))))),
% 44.03/6.00 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 44.03/6.00 fof(f73,plain,(
% 44.03/6.00 ![X0,X1,X2]: (~aElement0(X0)|~aElement0(X1)|~aElement0(X2)|sdtasdt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 44.03/6.00 inference(cnf_transformation,[status(esa)],[f72])).
% 44.03/6.00 fof(f194,plain,(
% 44.03/6.00 aElement0(xc)),
% 44.03/6.00 inference(cnf_transformation,[status(esa)],[f38])).
% 44.03/6.00 fof(f203,plain,(
% 44.03/6.00 aElement0(xu)),
% 44.03/6.00 inference(cnf_transformation,[status(esa)],[f40])).
% 44.03/6.00 fof(f204,plain,(
% 44.03/6.00 sdtasdt0(xc,xu)=xx),
% 44.03/6.00 inference(cnf_transformation,[status(esa)],[f40])).
% 44.03/6.00 fof(f205,plain,(
% 44.03/6.00 aElement0(xv)),
% 44.03/6.00 inference(cnf_transformation,[status(esa)],[f41])).
% 44.03/6.00 fof(f206,plain,(
% 44.03/6.00 sdtasdt0(xc,xv)=xy),
% 44.03/6.00 inference(cnf_transformation,[status(esa)],[f41])).
% 44.03/6.00 fof(f207,plain,(
% 44.03/6.00 ~sdtpldt0(xx,xy)=sdtasdt0(xc,sdtpldt0(xu,xv))),
% 44.03/6.00 inference(cnf_transformation,[status(esa)],[f43])).
% 44.03/6.00 fof(f6826,plain,(
% 44.03/6.00 spl0_232 <=> aElement0(xu)),
% 44.03/6.00 introduced(split_symbol_definition)).
% 44.03/6.00 fof(f6828,plain,(
% 44.03/6.00 ~aElement0(xu)|spl0_232),
% 44.03/6.00 inference(component_clause,[status(thm)],[f6826])).
% 44.03/6.00 fof(f6839,plain,(
% 44.03/6.00 spl0_235 <=> aElement0(xc)),
% 44.03/6.00 introduced(split_symbol_definition)).
% 44.03/6.00 fof(f6841,plain,(
% 44.03/6.00 ~aElement0(xc)|spl0_235),
% 44.03/6.00 inference(component_clause,[status(thm)],[f6839])).
% 44.03/6.00 fof(f6861,plain,(
% 44.03/6.00 spl0_239 <=> ~aElement0(X0)|sdtasdt0(xc,sdtpldt0(xu,X0))=sdtpldt0(xx,sdtasdt0(xc,X0))),
% 44.03/6.00 introduced(split_symbol_definition)).
% 44.03/6.00 fof(f6862,plain,(
% 44.03/6.00 ![X0]: (~aElement0(X0)|sdtasdt0(xc,sdtpldt0(xu,X0))=sdtpldt0(xx,sdtasdt0(xc,X0))|~spl0_239)),
% 44.03/6.00 inference(component_clause,[status(thm)],[f6861])).
% 44.03/6.00 fof(f6864,plain,(
% 44.03/6.00 ![X0]: (~aElement0(xc)|~aElement0(xu)|~aElement0(X0)|sdtasdt0(xc,sdtpldt0(xu,X0))=sdtpldt0(xx,sdtasdt0(xc,X0)))),
% 44.03/6.00 inference(paramodulation,[status(thm)],[f204,f73])).
% 44.03/6.00 fof(f6865,plain,(
% 44.03/6.00 ~spl0_235|~spl0_232|spl0_239),
% 44.03/6.00 inference(split_clause,[status(thm)],[f6864,f6839,f6826,f6861])).
% 44.03/6.00 fof(f6873,plain,(
% 44.03/6.00 $false|spl0_232),
% 44.03/6.00 inference(forward_subsumption_resolution,[status(thm)],[f6828,f203])).
% 44.03/6.00 fof(f6874,plain,(
% 44.03/6.00 spl0_232),
% 44.03/6.00 inference(contradiction_clause,[status(thm)],[f6873])).
% 44.03/6.00 fof(f6875,plain,(
% 44.03/6.00 $false|spl0_235),
% 44.03/6.00 inference(forward_subsumption_resolution,[status(thm)],[f6841,f194])).
% 44.03/6.00 fof(f6876,plain,(
% 44.03/6.00 spl0_235),
% 44.03/6.00 inference(contradiction_clause,[status(thm)],[f6875])).
% 44.03/6.00 fof(f23212,plain,(
% 44.03/6.00 sdtasdt0(xc,sdtpldt0(xu,xv))=sdtpldt0(xx,sdtasdt0(xc,xv))|~spl0_239),
% 44.03/6.00 inference(resolution,[status(thm)],[f6862,f205])).
% 44.03/6.00 fof(f23213,plain,(
% 44.03/6.00 sdtasdt0(xc,sdtpldt0(xu,xv))=sdtpldt0(xx,xy)|~spl0_239),
% 44.03/6.00 inference(forward_demodulation,[status(thm)],[f206,f23212])).
% 44.03/6.00 fof(f23214,plain,(
% 44.03/6.00 $false|~spl0_239),
% 44.03/6.00 inference(forward_subsumption_resolution,[status(thm)],[f23213,f207])).
% 44.03/6.00 fof(f23215,plain,(
% 44.03/6.00 ~spl0_239),
% 44.03/6.00 inference(contradiction_clause,[status(thm)],[f23214])).
% 44.03/6.00 fof(f23216,plain,(
% 44.03/6.00 $false),
% 44.03/6.00 inference(sat_refutation,[status(thm)],[f6865,f6874,f6876,f23215])).
% 44.65/6.05 % SZS output end CNFRefutation for theBenchmark.p
% 45.29/6.08 % Elapsed time: 5.702924 seconds
% 45.29/6.08 % CPU time: 45.035493 seconds
% 45.29/6.08 % Total memory used: 332.054 MB
% 45.29/6.08 % Net memory used: 318.532 MB
%------------------------------------------------------------------------------