TSTP Solution File: COM007+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% 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 : Tue Apr 30 20:14:00 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COM007+2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:56:49 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 ( reflexive_rewrite(a,b)& reflexive_rewrite(a,c) ) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 (! [A] :( ( reflexive_rewrite(b,A)& reflexive_rewrite(c,A) )=> goal ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,axiom,(
% 0.13/0.37 (! [A,B] :( A = B=> reflexive_rewrite(A,B) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 (! [A,B] :( rewrite(A,B)=> reflexive_rewrite(A,B) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,axiom,(
% 0.13/0.37 (! [A,B] :( reflexive_rewrite(A,B)=> ( A = B| rewrite(A,B) ) ) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,axiom,(
% 0.13/0.37 (! [A,B,C] :( ( rewrite(A,B)& rewrite(A,C) )=> (? [D] :( rewrite(B,D)& rewrite(C,D) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,conjecture,(
% 0.13/0.37 goal ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f8,negated_conjecture,(
% 0.13/0.37 ~(goal )),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f7])).
% 0.13/0.37 fof(f9,plain,(
% 0.13/0.37 reflexive_rewrite(a,b)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.37 fof(f10,plain,(
% 0.13/0.37 reflexive_rewrite(a,c)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.37 fof(f11,plain,(
% 0.13/0.37 ![A]: ((~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A))|goal)),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.37 fof(f12,plain,(
% 0.13/0.37 (![A]: (~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A)))|goal),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f11])).
% 0.13/0.37 fof(f13,plain,(
% 0.13/0.37 ![X0]: (~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0)|goal)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.37 fof(f14,plain,(
% 0.13/0.37 ![A,B]: (~A=B|reflexive_rewrite(A,B))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.13/0.37 fof(f15,plain,(
% 0.13/0.37 ![X0,X1]: (~X0=X1|reflexive_rewrite(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.37 fof(f16,plain,(
% 0.13/0.37 ![A,B]: (~rewrite(A,B)|reflexive_rewrite(A,B))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.37 fof(f17,plain,(
% 0.13/0.37 ![X0,X1]: (~rewrite(X0,X1)|reflexive_rewrite(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 ![A,B]: (~reflexive_rewrite(A,B)|(A=B|rewrite(A,B)))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.13/0.37 fof(f19,plain,(
% 0.13/0.37 ![X0,X1]: (~reflexive_rewrite(X0,X1)|X0=X1|rewrite(X0,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 ![A,B,C]: ((~rewrite(A,B)|~rewrite(A,C))|(?[D]: (rewrite(B,D)&rewrite(C,D))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.13/0.37 fof(f21,plain,(
% 0.13/0.37 ![B,C]: ((![A]: (~rewrite(A,B)|~rewrite(A,C)))|(?[D]: (rewrite(B,D)&rewrite(C,D))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f20])).
% 0.13/0.37 fof(f22,plain,(
% 0.13/0.37 ![B,C]: ((![A]: (~rewrite(A,B)|~rewrite(A,C)))|(rewrite(B,sk0_0(C,B))&rewrite(C,sk0_0(C,B))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f21])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|rewrite(X1,sk0_0(X2,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.13/0.37 fof(f24,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|rewrite(X2,sk0_0(X2,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.13/0.37 fof(f25,plain,(
% 0.13/0.37 ~goal),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.37 fof(f26,plain,(
% 0.13/0.37 spl0_0 <=> ~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f27,plain,(
% 0.13/0.37 ![X0]: (~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0)|~spl0_0)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f26])).
% 0.13/0.37 fof(f29,plain,(
% 0.13/0.37 spl0_1 <=> goal),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f30,plain,(
% 0.13/0.37 goal|~spl0_1),
% 0.13/0.37 inference(component_clause,[status(thm)],[f29])).
% 0.13/0.37 fof(f32,plain,(
% 0.13/0.37 spl0_0|spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f13,f26,f29])).
% 0.13/0.37 fof(f33,plain,(
% 0.13/0.37 ![X0]: (reflexive_rewrite(X0,X0))),
% 0.13/0.37 inference(destructive_equality_resolution,[status(esa)],[f15])).
% 0.13/0.37 fof(f34,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|reflexive_rewrite(X1,sk0_0(X2,X1)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f23,f17])).
% 0.13/0.37 fof(f35,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|reflexive_rewrite(X2,sk0_0(X2,X1)))),
% 0.13/0.37 inference(resolution,[status(thm)],[f24,f17])).
% 0.13/0.37 fof(f36,plain,(
% 0.13/0.37 ![X0,X1]: (~reflexive_rewrite(b,sk0_0(c,X0))|~rewrite(X1,X0)|~rewrite(X1,c)|~spl0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f27,f35])).
% 0.13/0.37 fof(f38,plain,(
% 0.13/0.37 ~reflexive_rewrite(b,c)|~spl0_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f27,f33])).
% 0.13/0.37 fof(f39,plain,(
% 0.13/0.37 spl0_2 <=> ~rewrite(X0,b)|~rewrite(X0,c)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f40,plain,(
% 0.13/0.37 ![X0]: (~rewrite(X0,b)|~rewrite(X0,c)|~spl0_2)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f39])).
% 0.13/0.37 fof(f42,plain,(
% 0.13/0.37 ![X0,X1]: (~rewrite(X0,b)|~rewrite(X0,c)|~rewrite(X1,b)|~rewrite(X1,c)|~spl0_0)),
% 0.13/0.37 inference(resolution,[status(thm)],[f36,f34])).
% 0.13/0.37 fof(f43,plain,(
% 0.13/0.37 spl0_2|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f42,f39,f26])).
% 0.13/0.37 fof(f44,plain,(
% 0.13/0.37 $false|~spl0_1),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f30,f25])).
% 0.13/0.37 fof(f45,plain,(
% 0.13/0.37 ~spl0_1),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f44])).
% 0.13/0.37 fof(f46,plain,(
% 0.13/0.37 ![X0]: (~rewrite(X0,b)|~reflexive_rewrite(X0,c)|X0=c|~spl0_2)),
% 0.13/0.37 inference(resolution,[status(thm)],[f40,f19])).
% 0.13/0.37 fof(f54,plain,(
% 0.13/0.37 ![X0]: (~reflexive_rewrite(X0,c)|X0=c|~reflexive_rewrite(X0,b)|X0=b|~spl0_2)),
% 0.13/0.37 inference(resolution,[status(thm)],[f46,f19])).
% 0.13/0.37 fof(f55,plain,(
% 0.13/0.37 spl0_3 <=> a=c),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f56,plain,(
% 0.13/0.37 a=c|~spl0_3),
% 0.13/0.37 inference(component_clause,[status(thm)],[f55])).
% 0.13/0.37 fof(f58,plain,(
% 0.13/0.37 spl0_4 <=> reflexive_rewrite(a,b)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f60,plain,(
% 0.13/0.37 ~reflexive_rewrite(a,b)|spl0_4),
% 0.13/0.37 inference(component_clause,[status(thm)],[f58])).
% 0.13/0.37 fof(f61,plain,(
% 0.13/0.37 spl0_5 <=> a=b),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f62,plain,(
% 0.13/0.37 a=b|~spl0_5),
% 0.13/0.37 inference(component_clause,[status(thm)],[f61])).
% 0.13/0.37 fof(f64,plain,(
% 0.13/0.37 a=c|~reflexive_rewrite(a,b)|a=b|~spl0_2),
% 0.13/0.37 inference(resolution,[status(thm)],[f54,f10])).
% 0.13/0.37 fof(f65,plain,(
% 0.13/0.37 spl0_3|~spl0_4|spl0_5|~spl0_2),
% 0.13/0.37 inference(split_clause,[status(thm)],[f64,f55,f58,f61,f39])).
% 0.13/0.37 fof(f77,plain,(
% 0.13/0.37 $false|spl0_4),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f60,f9])).
% 0.13/0.37 fof(f78,plain,(
% 0.13/0.37 spl0_4),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f77])).
% 0.13/0.37 fof(f103,plain,(
% 0.13/0.37 ![X0]: (~reflexive_rewrite(b,X0)|~reflexive_rewrite(a,X0)|~spl0_3|~spl0_0)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f56,f27])).
% 0.13/0.37 fof(f106,plain,(
% 0.13/0.37 ~reflexive_rewrite(a,b)|~spl0_3|~spl0_0),
% 0.13/0.37 inference(resolution,[status(thm)],[f103,f33])).
% 0.13/0.37 fof(f107,plain,(
% 0.13/0.37 ~spl0_4|~spl0_3|~spl0_0),
% 0.13/0.37 inference(split_clause,[status(thm)],[f106,f58,f55,f26])).
% 0.13/0.37 fof(f111,plain,(
% 0.13/0.37 ~reflexive_rewrite(a,c)|~spl0_5|~spl0_0),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f62,f38])).
% 0.13/0.37 fof(f112,plain,(
% 0.13/0.37 $false|~spl0_5|~spl0_0),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f111,f10])).
% 0.13/0.37 fof(f113,plain,(
% 0.13/0.37 ~spl0_5|~spl0_0),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f112])).
% 0.13/0.37 fof(f114,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f32,f43,f45,f65,f78,f107,f113])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.021201 seconds
% 0.13/0.39 % CPU time: 0.029114 seconds
% 0.13/0.39 % Total memory used: 10.961 MB
% 0.13/0.39 % Net memory used: 10.856 MB
%------------------------------------------------------------------------------