TSTP Solution File: COM007+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COM007+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM007+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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 Apr 30 00:37:18 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 ( reflexive_rewrite(a,b)& reflexive_rewrite(a,c) ) ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,axiom,(
% 0.13/0.36 (! [A] :( ( reflexive_rewrite(b,A)& reflexive_rewrite(c,A) )=> goal ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,axiom,(
% 0.13/0.36 (! [A] : equalish(A,A) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f4,axiom,(
% 0.13/0.36 (! [A,B] :( equalish(A,B)=> equalish(B,A) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f5,axiom,(
% 0.13/0.36 (! [A,B,C] :( ( equalish(A,B)& reflexive_rewrite(B,C) )=> reflexive_rewrite(A,C) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f6,axiom,(
% 0.13/0.36 (! [A,B] :( equalish(A,B)=> reflexive_rewrite(A,B) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f7,axiom,(
% 0.13/0.36 (! [A,B] :( rewrite(A,B)=> reflexive_rewrite(A,B) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,axiom,(
% 0.13/0.36 (! [A,B] :( reflexive_rewrite(A,B)=> ( equalish(A,B)| rewrite(A,B) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f9,axiom,(
% 0.13/0.36 (! [A,B,C] :( ( rewrite(A,B)& rewrite(A,C) )=> (? [D] :( rewrite(B,D)& rewrite(C,D) ) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f10,conjecture,(
% 0.13/0.36 goal ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f11,negated_conjecture,(
% 0.13/0.36 ~(goal )),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f10])).
% 0.13/0.36 fof(f12,plain,(
% 0.13/0.36 reflexive_rewrite(a,b)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 reflexive_rewrite(a,c)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f14,plain,(
% 0.13/0.36 ![A]: ((~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A))|goal)),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.36 fof(f15,plain,(
% 0.13/0.36 (![A]: (~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A)))|goal),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f14])).
% 0.13/0.36 fof(f16,plain,(
% 0.13/0.36 ![X0]: (~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0)|goal)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 ![X0]: (equalish(X0,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.36 fof(f18,plain,(
% 0.13/0.36 ![A,B]: (~equalish(A,B)|equalish(B,A))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.36 fof(f19,plain,(
% 0.13/0.36 ![X0,X1]: (~equalish(X0,X1)|equalish(X1,X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.36 fof(f20,plain,(
% 0.13/0.36 ![A,B,C]: ((~equalish(A,B)|~reflexive_rewrite(B,C))|reflexive_rewrite(A,C))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.13/0.36 fof(f21,plain,(
% 0.13/0.36 ![A,C]: ((![B]: (~equalish(A,B)|~reflexive_rewrite(B,C)))|reflexive_rewrite(A,C))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f20])).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~equalish(X0,X1)|~reflexive_rewrite(X1,X2)|reflexive_rewrite(X0,X2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.36 fof(f23,plain,(
% 0.13/0.36 ![A,B]: (~equalish(A,B)|reflexive_rewrite(A,B))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 ![X0,X1]: (~equalish(X0,X1)|reflexive_rewrite(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.36 fof(f25,plain,(
% 0.13/0.36 ![A,B]: (~rewrite(A,B)|reflexive_rewrite(A,B))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.13/0.36 fof(f26,plain,(
% 0.13/0.36 ![X0,X1]: (~rewrite(X0,X1)|reflexive_rewrite(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 ![A,B]: (~reflexive_rewrite(A,B)|(equalish(A,B)|rewrite(A,B)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 ![X0,X1]: (~reflexive_rewrite(X0,X1)|equalish(X0,X1)|rewrite(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ![A,B,C]: ((~rewrite(A,B)|~rewrite(A,C))|(?[D]: (rewrite(B,D)&rewrite(C,D))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ![B,C]: ((![A]: (~rewrite(A,B)|~rewrite(A,C)))|(?[D]: (rewrite(B,D)&rewrite(C,D))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f29])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ![B,C]: ((![A]: (~rewrite(A,B)|~rewrite(A,C)))|(rewrite(B,sk0_0(C,B))&rewrite(C,sk0_0(C,B))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f30])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|rewrite(X1,sk0_0(X2,X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|rewrite(X2,sk0_0(X2,X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.36 fof(f34,plain,(
% 0.13/0.36 ~goal),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.36 fof(f35,plain,(
% 0.13/0.36 spl0_0 <=> ~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ![X0]: (~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0)|~spl0_0)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f35])).
% 0.13/0.36 fof(f38,plain,(
% 0.13/0.36 spl0_1 <=> goal),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f39,plain,(
% 0.13/0.36 goal|~spl0_1),
% 0.13/0.36 inference(component_clause,[status(thm)],[f38])).
% 0.13/0.36 fof(f41,plain,(
% 0.13/0.36 spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f16,f35,f38])).
% 0.13/0.36 fof(f43,plain,(
% 0.13/0.36 ![X0]: (reflexive_rewrite(X0,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f24,f17])).
% 0.13/0.36 fof(f44,plain,(
% 0.13/0.36 ~reflexive_rewrite(b,c)|~spl0_0),
% 0.13/0.36 inference(resolution,[status(thm)],[f43,f36])).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~reflexive_rewrite(X0,X1)|reflexive_rewrite(X2,X1)|~equalish(X0,X2))),
% 0.13/0.36 inference(resolution,[status(thm)],[f22,f19])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|reflexive_rewrite(X1,sk0_0(X2,X1)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f32,f26])).
% 0.13/0.36 fof(f50,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|reflexive_rewrite(X2,sk0_0(X2,X1)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f33,f26])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 ![X0,X1]: (~rewrite(X0,c)|~rewrite(X0,X1)|~reflexive_rewrite(b,sk0_0(X1,c))|~spl0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f49,f36])).
% 0.13/0.36 fof(f52,plain,(
% 0.13/0.36 spl0_2 <=> ~rewrite(X0,c)|~rewrite(X0,b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f53,plain,(
% 0.13/0.36 ![X0]: (~rewrite(X0,c)|~rewrite(X0,b)|~spl0_2)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f52])).
% 0.13/0.36 fof(f55,plain,(
% 0.13/0.36 ![X0,X1]: (~rewrite(X0,c)|~rewrite(X0,b)|~rewrite(X1,c)|~rewrite(X1,b)|~spl0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f50,f51])).
% 0.13/0.36 fof(f56,plain,(
% 0.13/0.36 spl0_2|~spl0_0),
% 0.13/0.36 inference(split_clause,[status(thm)],[f55,f52,f35])).
% 0.13/0.36 fof(f58,plain,(
% 0.13/0.36 $false|~spl0_1),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f39,f34])).
% 0.13/0.36 fof(f59,plain,(
% 0.13/0.36 ~spl0_1),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f58])).
% 0.13/0.36 fof(f60,plain,(
% 0.13/0.36 ![X0]: (~rewrite(X0,b)|~reflexive_rewrite(X0,c)|equalish(X0,c)|~spl0_2)),
% 0.13/0.36 inference(resolution,[status(thm)],[f53,f28])).
% 0.13/0.36 fof(f64,plain,(
% 0.13/0.36 ![X0]: (~reflexive_rewrite(X0,c)|equalish(X0,c)|~reflexive_rewrite(X0,b)|equalish(X0,b)|~spl0_2)),
% 0.13/0.36 inference(resolution,[status(thm)],[f60,f28])).
% 0.13/0.36 fof(f65,plain,(
% 0.13/0.36 spl0_3 <=> equalish(a,c)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f66,plain,(
% 0.13/0.36 equalish(a,c)|~spl0_3),
% 0.13/0.36 inference(component_clause,[status(thm)],[f65])).
% 0.13/0.36 fof(f68,plain,(
% 0.13/0.36 spl0_4 <=> reflexive_rewrite(a,b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f70,plain,(
% 0.13/0.36 ~reflexive_rewrite(a,b)|spl0_4),
% 0.13/0.36 inference(component_clause,[status(thm)],[f68])).
% 0.13/0.36 fof(f71,plain,(
% 0.13/0.36 spl0_5 <=> equalish(a,b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f72,plain,(
% 0.13/0.36 equalish(a,b)|~spl0_5),
% 0.13/0.36 inference(component_clause,[status(thm)],[f71])).
% 0.13/0.36 fof(f74,plain,(
% 0.13/0.36 equalish(a,c)|~reflexive_rewrite(a,b)|equalish(a,b)|~spl0_2),
% 0.13/0.36 inference(resolution,[status(thm)],[f64,f13])).
% 0.13/0.36 fof(f75,plain,(
% 0.13/0.36 spl0_3|~spl0_4|spl0_5|~spl0_2),
% 0.13/0.36 inference(split_clause,[status(thm)],[f74,f65,f68,f71,f52])).
% 0.13/0.36 fof(f79,plain,(
% 0.13/0.36 spl0_7 <=> reflexive_rewrite(c,b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f80,plain,(
% 0.13/0.36 reflexive_rewrite(c,b)|~spl0_7),
% 0.13/0.36 inference(component_clause,[status(thm)],[f79])).
% 0.13/0.36 fof(f81,plain,(
% 0.13/0.36 ~reflexive_rewrite(c,b)|spl0_7),
% 0.13/0.36 inference(component_clause,[status(thm)],[f79])).
% 0.13/0.36 fof(f87,plain,(
% 0.13/0.36 $false|spl0_4),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f70,f12])).
% 0.13/0.36 fof(f88,plain,(
% 0.13/0.36 spl0_4),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f87])).
% 0.13/0.36 fof(f89,plain,(
% 0.13/0.36 ![X0]: (~reflexive_rewrite(a,X0)|reflexive_rewrite(c,X0)|~spl0_3)),
% 0.13/0.36 inference(resolution,[status(thm)],[f66,f47])).
% 0.13/0.36 fof(f94,plain,(
% 0.13/0.36 ~reflexive_rewrite(a,b)|~spl0_3|spl0_7),
% 0.13/0.36 inference(resolution,[status(thm)],[f89,f81])).
% 0.13/0.36 fof(f95,plain,(
% 0.13/0.36 ~spl0_4|~spl0_3|spl0_7),
% 0.13/0.36 inference(split_clause,[status(thm)],[f94,f68,f65,f79])).
% 0.13/0.36 fof(f102,plain,(
% 0.13/0.36 ~reflexive_rewrite(b,b)|~spl0_7|~spl0_0),
% 0.13/0.36 inference(resolution,[status(thm)],[f80,f36])).
% 0.13/0.36 fof(f103,plain,(
% 0.13/0.36 $false|~spl0_7|~spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f102,f43])).
% 0.13/0.36 fof(f104,plain,(
% 0.13/0.36 ~spl0_7|~spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f103])).
% 0.13/0.36 fof(f105,plain,(
% 0.13/0.36 ![X0]: (~reflexive_rewrite(a,X0)|reflexive_rewrite(b,X0)|~spl0_5)),
% 0.13/0.36 inference(resolution,[status(thm)],[f72,f47])).
% 0.13/0.36 fof(f117,plain,(
% 0.13/0.36 ~reflexive_rewrite(a,c)|~spl0_5|~spl0_0),
% 0.13/0.36 inference(resolution,[status(thm)],[f105,f44])).
% 0.13/0.36 fof(f118,plain,(
% 0.13/0.36 $false|~spl0_5|~spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f117,f13])).
% 0.13/0.36 fof(f119,plain,(
% 0.13/0.36 ~spl0_5|~spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f118])).
% 0.13/0.36 fof(f120,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f41,f56,f59,f75,f88,f95,f104,f119])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.017377 seconds
% 0.13/0.37 % CPU time: 0.042073 seconds
% 0.13/0.37 % Total memory used: 2.557 MB
% 0.13/0.37 % Net memory used: 2.490 MB
%------------------------------------------------------------------------------