%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM008+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:10:41 PM UTC 2026
% Result : Theorem 163.78s 21.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM008+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 14:13:27 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 163.78/21.10 % Refutation found
% 163.78/21.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 163.78/21.10 % SZS output start CNFRefutation for theBenchmark
% 163.78/21.10 fof(f1,axiom,(
% 163.78/21.10 (! [A] :( ( transitive_reflexive_rewrite(b,A)& transitive_reflexive_rewrite(c,A) )=> goal ) )),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f2,axiom,(
% 163.78/21.10 ( transitive_reflexive_rewrite(a,b)& transitive_reflexive_rewrite(a,c) ) ),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f3,axiom,(
% 163.78/21.10 (! [A] : equalish(A,A) )),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f4,axiom,(
% 163.78/21.10 (! [A,B] :( equalish(A,B)=> equalish(B,A) ) )),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f5,axiom,(
% 163.78/21.10 (! [A,B] :( equalish(A,B)=> transitive_reflexive_rewrite(A,B) ) )),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f6,axiom,(
% 163.78/21.10 (! [A,B] :( rewrite(A,B)=> transitive_reflexive_rewrite(A,B) ) )),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f7,axiom,(
% 163.78/21.10 (! [A,B,C] :( ( transitive_reflexive_rewrite(A,B)& transitive_reflexive_rewrite(B,C) )=> transitive_reflexive_rewrite(A,C) ) )),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f8,axiom,(
% 163.78/21.10 (! [A,B,C] :( ( rewrite(A,B)& rewrite(A,C) )=> (? [D] :( transitive_reflexive_rewrite(B,D)& transitive_reflexive_rewrite(C,D) ) )) )),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f9,axiom,(
% 163.78/21.10 (! [A,B,C] :( ( rewrite(a,A)& transitive_reflexive_rewrite(A,B)& transitive_reflexive_rewrite(A,C) )=> (? [D] :( transitive_reflexive_rewrite(B,D)& transitive_reflexive_rewrite(C,D) ) )) )),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f10,axiom,(
% 163.78/21.10 (! [A,B] :( transitive_reflexive_rewrite(A,B)=> ( equalish(A,B)| (? [C] :( rewrite(A,C)& transitive_reflexive_rewrite(C,B) ) )) ) )),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f11,conjecture,(
% 163.78/21.10 goal ),
% 163.78/21.10 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 163.78/21.10 fof(f12,negated_conjecture,(
% 163.78/21.10 ~(goal )),
% 163.78/21.10 inference(negated_conjecture,[status(cth)],[f11])).
% 163.78/21.10 fof(f13,plain,(
% 163.78/21.10 ![A]: ((~transitive_reflexive_rewrite(b,A)|~transitive_reflexive_rewrite(c,A))|goal)),
% 163.78/21.10 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 163.78/21.10 fof(f14,plain,(
% 163.78/21.10 (![A]: (~transitive_reflexive_rewrite(b,A)|~transitive_reflexive_rewrite(c,A)))|goal),
% 163.78/21.10 inference(miniscoping,[status(thm)],[f13])).
% 163.78/21.10 fof(f15,plain,(
% 163.78/21.10 ![X0]: (~transitive_reflexive_rewrite(b,X0)|~transitive_reflexive_rewrite(c,X0)|goal)),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f14])).
% 163.78/21.10 fof(f16,plain,(
% 163.78/21.10 transitive_reflexive_rewrite(a,b)),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f2])).
% 163.78/21.10 fof(f17,plain,(
% 163.78/21.10 transitive_reflexive_rewrite(a,c)),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f2])).
% 163.78/21.10 fof(f18,plain,(
% 163.78/21.10 ![X0]: (equalish(X0,X0))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f3])).
% 163.78/21.10 fof(f19,plain,(
% 163.78/21.10 ![A,B]: (~equalish(A,B)|equalish(B,A))),
% 163.78/21.10 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 163.78/21.10 fof(f20,plain,(
% 163.78/21.10 ![X0,X1]: (~equalish(X0,X1)|equalish(X1,X0))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f19])).
% 163.78/21.10 fof(f21,plain,(
% 163.78/21.10 ![A,B]: (~equalish(A,B)|transitive_reflexive_rewrite(A,B))),
% 163.78/21.10 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 163.78/21.10 fof(f22,plain,(
% 163.78/21.10 ![X0,X1]: (~equalish(X0,X1)|transitive_reflexive_rewrite(X0,X1))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f21])).
% 163.78/21.10 fof(f23,plain,(
% 163.78/21.10 ![A,B]: (~rewrite(A,B)|transitive_reflexive_rewrite(A,B))),
% 163.78/21.10 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 163.78/21.10 fof(f24,plain,(
% 163.78/21.10 ![X0,X1]: (~rewrite(X0,X1)|transitive_reflexive_rewrite(X0,X1))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f23])).
% 163.78/21.10 fof(f25,plain,(
% 163.78/21.10 ![A,B,C]: ((~transitive_reflexive_rewrite(A,B)|~transitive_reflexive_rewrite(B,C))|transitive_reflexive_rewrite(A,C))),
% 163.78/21.10 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 163.78/21.10 fof(f26,plain,(
% 163.78/21.10 ![A,C]: ((![B]: (~transitive_reflexive_rewrite(A,B)|~transitive_reflexive_rewrite(B,C)))|transitive_reflexive_rewrite(A,C))),
% 163.78/21.10 inference(miniscoping,[status(thm)],[f25])).
% 163.78/21.10 fof(f27,plain,(
% 163.78/21.10 ![X0,X1,X2]: (~transitive_reflexive_rewrite(X0,X1)|~transitive_reflexive_rewrite(X1,X2)|transitive_reflexive_rewrite(X0,X2))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f26])).
% 163.78/21.10 fof(f28,plain,(
% 163.78/21.10 ![A,B,C]: ((~rewrite(A,B)|~rewrite(A,C))|(?[D]: (transitive_reflexive_rewrite(B,D)&transitive_reflexive_rewrite(C,D))))),
% 163.78/21.10 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 163.78/21.10 fof(f29,plain,(
% 163.78/21.10 ![B,C]: ((![A]: (~rewrite(A,B)|~rewrite(A,C)))|(?[D]: (transitive_reflexive_rewrite(B,D)&transitive_reflexive_rewrite(C,D))))),
% 163.78/21.10 inference(miniscoping,[status(thm)],[f28])).
% 163.78/21.10 fof(f30,plain,(
% 163.78/21.10 ![B,C]: ((![A]: (~rewrite(A,B)|~rewrite(A,C)))|(transitive_reflexive_rewrite(B,sK0_skl(C,B))&transitive_reflexive_rewrite(C,sK0_skl(C,B))))),
% 163.78/21.10 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f29])).
% 163.78/21.10 fof(f31,plain,(
% 163.78/21.10 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|transitive_reflexive_rewrite(X1,sK0_skl(X2,X1)))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f30])).
% 163.78/21.10 fof(f32,plain,(
% 163.78/21.10 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|transitive_reflexive_rewrite(X2,sK0_skl(X2,X1)))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f30])).
% 163.78/21.10 fof(f33,plain,(
% 163.78/21.10 ![A,B,C]: (((~rewrite(a,A)|~transitive_reflexive_rewrite(A,B))|~transitive_reflexive_rewrite(A,C))|(?[D]: (transitive_reflexive_rewrite(B,D)&transitive_reflexive_rewrite(C,D))))),
% 163.78/21.10 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 163.78/21.10 fof(f34,plain,(
% 163.78/21.10 ![B,C]: ((![A]: ((~rewrite(a,A)|~transitive_reflexive_rewrite(A,B))|~transitive_reflexive_rewrite(A,C)))|(?[D]: (transitive_reflexive_rewrite(B,D)&transitive_reflexive_rewrite(C,D))))),
% 163.78/21.10 inference(miniscoping,[status(thm)],[f33])).
% 163.78/21.10 fof(f35,plain,(
% 163.78/21.10 ![B,C]: ((![A]: ((~rewrite(a,A)|~transitive_reflexive_rewrite(A,B))|~transitive_reflexive_rewrite(A,C)))|(transitive_reflexive_rewrite(B,sK1_skl(C,B))&transitive_reflexive_rewrite(C,sK1_skl(C,B))))),
% 163.78/21.10 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B))],[f34])).
% 163.78/21.10 fof(f36,plain,(
% 163.78/21.10 ![X0,X1,X2]: (~rewrite(a,X0)|~transitive_reflexive_rewrite(X0,X1)|~transitive_reflexive_rewrite(X0,X2)|transitive_reflexive_rewrite(X1,sK1_skl(X2,X1)))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f35])).
% 163.78/21.10 fof(f37,plain,(
% 163.78/21.10 ![X0,X1,X2]: (~rewrite(a,X0)|~transitive_reflexive_rewrite(X0,X1)|~transitive_reflexive_rewrite(X0,X2)|transitive_reflexive_rewrite(X2,sK1_skl(X2,X1)))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f35])).
% 163.78/21.10 fof(f38,plain,(
% 163.78/21.10 ![A,B]: (~transitive_reflexive_rewrite(A,B)|(equalish(A,B)|(?[C]: (rewrite(A,C)&transitive_reflexive_rewrite(C,B)))))),
% 163.78/21.10 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 163.78/21.10 fof(f39,plain,(
% 163.78/21.10 ![A,B]: (~transitive_reflexive_rewrite(A,B)|(equalish(A,B)|(rewrite(A,sK2_skl(B,A))&transitive_reflexive_rewrite(sK2_skl(B,A),B))))),
% 163.78/21.10 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B,A))],[f38])).
% 163.78/21.10 fof(f40,plain,(
% 163.78/21.10 ![X0,X1]: (~transitive_reflexive_rewrite(X0,X1)|equalish(X0,X1)|rewrite(X0,sK2_skl(X1,X0)))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f39])).
% 163.78/21.10 fof(f41,plain,(
% 163.78/21.10 ![X0,X1]: (~transitive_reflexive_rewrite(X0,X1)|equalish(X0,X1)|transitive_reflexive_rewrite(sK2_skl(X1,X0),X1))),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f39])).
% 163.78/21.10 fof(f42,plain,(
% 163.78/21.10 ~goal),
% 163.78/21.10 inference(cnf_transformation,[status(thm)],[f12])).
% 163.78/21.10 fof(f43,definition,(
% 163.78/21.10 ![X0]: (sQ0_spl <=> (~transitive_reflexive_rewrite(b,X0)|~transitive_reflexive_rewrite(c,X0)))),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f44,plain,(
% 163.78/21.10 ![X0]: (~transitive_reflexive_rewrite(b,X0)|~transitive_reflexive_rewrite(c,X0)|~sQ0_spl)),
% 163.78/21.10 inference(component_clause,[status(thm)],[f43])).
% 163.78/21.10 fof(f46,definition,(
% 163.78/21.10 sQ1_spl <=> (goal)),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f47,plain,(
% 163.78/21.10 goal|~sQ1_spl),
% 163.78/21.10 inference(component_clause,[status(thm)],[f46])).
% 163.78/21.10 fof(f49,plain,(
% 163.78/21.10 sQ0_spl|sQ1_spl),
% 163.78/21.10 inference(split_clause,[status(thm)],[f15,f43,f46])).
% 163.78/21.10 fof(f51,plain,(
% 163.78/21.10 ![X0]: (transitive_reflexive_rewrite(X0,X0))),
% 163.78/21.10 inference(resolution,[status(thm)],[f22,f18])).
% 163.78/21.10 fof(f54,plain,(
% 163.78/21.10 ~transitive_reflexive_rewrite(b,c)|~sQ0_spl),
% 163.78/21.10 inference(resolution,[status(thm)],[f51,f44])).
% 163.78/21.10 fof(f58,plain,(
% 163.78/21.10 equalish(a,c)|rewrite(a,sK2_skl(c,a))),
% 163.78/21.10 inference(resolution,[status(thm)],[f40,f17])).
% 163.78/21.10 fof(f59,plain,(
% 163.78/21.10 equalish(a,b)|rewrite(a,sK2_skl(b,a))),
% 163.78/21.10 inference(resolution,[status(thm)],[f40,f16])).
% 163.78/21.10 fof(f61,definition,(
% 163.78/21.10 sQ2_spl <=> (equalish(a,c))),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f62,plain,(
% 163.78/21.10 equalish(a,c)|~sQ2_spl),
% 163.78/21.10 inference(component_clause,[status(thm)],[f61])).
% 163.78/21.10 fof(f64,definition,(
% 163.78/21.10 sQ3_spl <=> (rewrite(a,sK2_skl(c,a)))),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f65,plain,(
% 163.78/21.10 rewrite(a,sK2_skl(c,a))|~sQ3_spl),
% 163.78/21.10 inference(component_clause,[status(thm)],[f64])).
% 163.78/21.10 fof(f67,plain,(
% 163.78/21.10 sQ2_spl|sQ3_spl),
% 163.78/21.10 inference(split_clause,[status(thm)],[f58,f61,f64])).
% 163.78/21.10 fof(f68,definition,(
% 163.78/21.10 sQ4_spl <=> (equalish(a,b))),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f69,plain,(
% 163.78/21.10 equalish(a,b)|~sQ4_spl),
% 163.78/21.10 inference(component_clause,[status(thm)],[f68])).
% 163.78/21.10 fof(f71,definition,(
% 163.78/21.10 sQ5_spl <=> (rewrite(a,sK2_skl(b,a)))),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f72,plain,(
% 163.78/21.10 rewrite(a,sK2_skl(b,a))|~sQ5_spl),
% 163.78/21.10 inference(component_clause,[status(thm)],[f71])).
% 163.78/21.10 fof(f74,plain,(
% 163.78/21.10 sQ4_spl|sQ5_spl),
% 163.78/21.10 inference(split_clause,[status(thm)],[f59,f68,f71])).
% 163.78/21.10 fof(f75,plain,(
% 163.78/21.10 equalish(a,c)|transitive_reflexive_rewrite(sK2_skl(c,a),c)),
% 163.78/21.10 inference(resolution,[status(thm)],[f41,f17])).
% 163.78/21.10 fof(f76,plain,(
% 163.78/21.10 equalish(a,b)|transitive_reflexive_rewrite(sK2_skl(b,a),b)),
% 163.78/21.10 inference(resolution,[status(thm)],[f41,f16])).
% 163.78/21.10 fof(f78,definition,(
% 163.78/21.10 sQ6_spl <=> (transitive_reflexive_rewrite(sK2_skl(c,a),c))),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f79,plain,(
% 163.78/21.10 transitive_reflexive_rewrite(sK2_skl(c,a),c)|~sQ6_spl),
% 163.78/21.10 inference(component_clause,[status(thm)],[f78])).
% 163.78/21.10 fof(f81,plain,(
% 163.78/21.10 sQ2_spl|sQ6_spl),
% 163.78/21.10 inference(split_clause,[status(thm)],[f75,f61,f78])).
% 163.78/21.10 fof(f82,definition,(
% 163.78/21.10 sQ7_spl <=> (transitive_reflexive_rewrite(sK2_skl(b,a),b))),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f83,plain,(
% 163.78/21.10 transitive_reflexive_rewrite(sK2_skl(b,a),b)|~sQ7_spl),
% 163.78/21.10 inference(component_clause,[status(thm)],[f82])).
% 163.78/21.10 fof(f85,plain,(
% 163.78/21.10 sQ4_spl|sQ7_spl),
% 163.78/21.10 inference(split_clause,[status(thm)],[f76,f68,f82])).
% 163.78/21.10 fof(f87,plain,(
% 163.78/21.10 equalish(b,a)|~sQ4_spl),
% 163.78/21.10 inference(resolution,[status(thm)],[f69,f20])).
% 163.78/21.10 fof(f89,plain,(
% 163.78/21.10 equalish(c,a)|~sQ2_spl),
% 163.78/21.10 inference(resolution,[status(thm)],[f62,f20])).
% 163.78/21.10 fof(f90,plain,(
% 163.78/21.10 transitive_reflexive_rewrite(b,a)|~sQ4_spl),
% 163.78/21.10 inference(resolution,[status(thm)],[f87,f22])).
% 163.78/21.10 fof(f95,plain,(
% 163.78/21.10 equalish(b,a)|transitive_reflexive_rewrite(sK2_skl(a,b),a)|~sQ4_spl),
% 163.78/21.10 inference(resolution,[status(thm)],[f90,f41])).
% 163.78/21.10 fof(f96,plain,(
% 163.78/21.10 equalish(b,a)|rewrite(b,sK2_skl(a,b))|~sQ4_spl),
% 163.78/21.10 inference(resolution,[status(thm)],[f90,f40])).
% 163.78/21.10 fof(f98,definition,(
% 163.78/21.10 sQ8_spl <=> (equalish(b,a))),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f99,plain,(
% 163.78/21.10 equalish(b,a)|~sQ8_spl),
% 163.78/21.10 inference(component_clause,[status(thm)],[f98])).
% 163.78/21.10 fof(f101,definition,(
% 163.78/21.10 sQ9_spl <=> (transitive_reflexive_rewrite(sK2_skl(a,b),a))),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f102,plain,(
% 163.78/21.10 transitive_reflexive_rewrite(sK2_skl(a,b),a)|~sQ9_spl),
% 163.78/21.10 inference(component_clause,[status(thm)],[f101])).
% 163.78/21.10 fof(f104,plain,(
% 163.78/21.10 sQ8_spl|sQ9_spl|~sQ4_spl),
% 163.78/21.10 inference(split_clause,[status(thm)],[f95,f98,f101,f68])).
% 163.78/21.10 fof(f105,definition,(
% 163.78/21.10 sQ10_spl <=> (rewrite(b,sK2_skl(a,b)))),
% 163.78/21.10 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 163.78/21.10 fof(f106,plain,(
% 163.78/21.10 rewrite(b,sK2_skl(a,b))|~sQ10_spl),
% 163.78/21.10 inference(component_clause,[status(thm)],[f105])).
% 163.78/21.10 fof(f108,plain,(
% 163.78/21.10 sQ8_spl|sQ10_spl|~sQ4_spl),
% 163.78/21.10 inference(split_clause,[status(thm)],[f96,f98,f105,f68])).
% 163.78/21.11 fof(f109,plain,(
% 163.78/21.11 ![X0,X1]: (~transitive_reflexive_rewrite(sK2_skl(b,a),X0)|~transitive_reflexive_rewrite(sK2_skl(b,a),X1)|transitive_reflexive_rewrite(X1,sK1_skl(X1,X0))|~sQ5_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f72,f37])).
% 163.78/21.11 fof(f110,plain,(
% 163.78/21.11 ![X0,X1]: (~transitive_reflexive_rewrite(sK2_skl(b,a),X0)|~transitive_reflexive_rewrite(sK2_skl(b,a),X1)|transitive_reflexive_rewrite(X0,sK1_skl(X1,X0))|~sQ5_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f72,f36])).
% 163.78/21.11 fof(f111,plain,(
% 163.78/21.11 ![X0]: (~rewrite(a,X0)|transitive_reflexive_rewrite(X0,sK0_skl(X0,sK2_skl(b,a)))|~sQ5_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f72,f32])).
% 163.78/21.11 fof(f112,plain,(
% 163.78/21.11 ![X0]: (~rewrite(a,X0)|transitive_reflexive_rewrite(sK2_skl(b,a),sK0_skl(X0,sK2_skl(b,a)))|~sQ5_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f72,f31])).
% 163.78/21.11 fof(f128,plain,(
% 163.78/21.11 ![X0]: (~transitive_reflexive_rewrite(sK2_skl(b,a),X0)|transitive_reflexive_rewrite(X0,sK1_skl(X0,b))|~sQ5_spl|~sQ7_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f109,f83])).
% 163.78/21.11 fof(f130,plain,(
% 163.78/21.11 ![X0]: (~transitive_reflexive_rewrite(sK2_skl(b,a),X0)|transitive_reflexive_rewrite(b,sK1_skl(X0,b))|~sQ5_spl|~sQ7_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f110,f83])).
% 163.78/21.11 fof(f139,definition,(
% 163.78/21.11 sQ14_spl <=> (equalish(c,a))),
% 163.78/21.11 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 163.78/21.11 fof(f140,plain,(
% 163.78/21.11 equalish(c,a)|~sQ14_spl),
% 163.78/21.11 inference(component_clause,[status(thm)],[f139])).
% 163.78/21.11 fof(f150,plain,(
% 163.78/21.11 transitive_reflexive_rewrite(b,a)|~sQ8_spl),
% 163.78/21.11 inference(resolution,[status(thm)],[f99,f22])).
% 163.78/21.11 fof(f152,plain,(
% 163.78/21.11 transitive_reflexive_rewrite(c,a)|~sQ14_spl),
% 163.78/21.11 inference(resolution,[status(thm)],[f140,f22])).
% 163.78/21.11 fof(f157,plain,(
% 163.78/21.11 ![X0]: (~transitive_reflexive_rewrite(a,X0)|transitive_reflexive_rewrite(b,X0)|~sQ8_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f150,f27])).
% 163.78/21.11 fof(f166,plain,(
% 163.78/21.11 ![X0]: (~transitive_reflexive_rewrite(a,X0)|transitive_reflexive_rewrite(c,X0)|~sQ14_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f152,f27])).
% 163.78/21.11 fof(f171,plain,(
% 163.78/21.11 $false|~sQ1_spl),
% 163.78/21.11 inference(forward_subsumption_resolution,[status(thm)],[f47,f42])).
% 163.78/21.11 fof(f172,plain,(
% 163.78/21.11 ~sQ1_spl),
% 163.78/21.11 inference(contradiction_clause,[status(thm)],[f171])).
% 163.78/21.11 fof(f174,plain,(
% 163.78/21.11 transitive_reflexive_rewrite(sK2_skl(b,a),sK0_skl(sK2_skl(c,a),sK2_skl(b,a)))|~sQ3_spl|~sQ5_spl),
% 163.78/21.11 inference(resolution,[status(thm)],[f65,f112])).
% 163.78/21.11 fof(f175,plain,(
% 163.78/21.11 transitive_reflexive_rewrite(sK2_skl(c,a),sK0_skl(sK2_skl(c,a),sK2_skl(b,a)))|~sQ3_spl|~sQ5_spl),
% 163.78/21.11 inference(resolution,[status(thm)],[f65,f111])).
% 163.78/21.11 fof(f176,plain,(
% 163.78/21.11 ![X0,X1]: (~transitive_reflexive_rewrite(sK2_skl(c,a),X0)|~transitive_reflexive_rewrite(sK2_skl(c,a),X1)|transitive_reflexive_rewrite(X1,sK1_skl(X1,X0))|~sQ3_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f65,f37])).
% 163.78/21.11 fof(f177,plain,(
% 163.78/21.11 ![X0,X1]: (~transitive_reflexive_rewrite(sK2_skl(c,a),X0)|~transitive_reflexive_rewrite(sK2_skl(c,a),X1)|transitive_reflexive_rewrite(X0,sK1_skl(X1,X0))|~sQ3_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f65,f36])).
% 163.78/21.11 fof(f212,plain,(
% 163.78/21.11 ![X0]: (~transitive_reflexive_rewrite(sK2_skl(c,a),X0)|transitive_reflexive_rewrite(X0,sK1_skl(X0,c))|~sQ3_spl|~sQ6_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f176,f79])).
% 163.78/21.11 fof(f214,plain,(
% 163.78/21.11 ![X0]: (~transitive_reflexive_rewrite(sK2_skl(c,a),X0)|transitive_reflexive_rewrite(c,sK1_skl(X0,c))|~sQ3_spl|~sQ6_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f177,f79])).
% 163.78/21.11 fof(f289,plain,(
% 163.78/21.11 transitive_reflexive_rewrite(b,sK2_skl(a,b))|~sQ10_spl),
% 163.78/21.11 inference(resolution,[status(thm)],[f106,f24])).
% 163.78/21.11 fof(f348,plain,(
% 163.78/21.11 transitive_reflexive_rewrite(b,sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b))|~sQ3_spl|~sQ5_spl|~sQ7_spl),
% 163.78/21.11 inference(resolution,[status(thm)],[f174,f130])).
% 163.78/21.11 fof(f350,plain,(
% 163.78/21.11 transitive_reflexive_rewrite(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b))|~sQ3_spl|~sQ5_spl|~sQ7_spl),
% 163.78/21.11 inference(resolution,[status(thm)],[f174,f128])).
% 163.78/21.11 fof(f371,plain,(
% 163.78/21.11 ![X0]: (~transitive_reflexive_rewrite(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),X0)|transitive_reflexive_rewrite(sK2_skl(c,a),X0)|~sQ3_spl|~sQ5_spl)),
% 163.78/21.11 inference(resolution,[status(thm)],[f175,f27])).
% 41.31/21.17 fof(f580,plain,(
% 41.31/21.17 transitive_reflexive_rewrite(c,b)|~sQ14_spl),
% 41.31/21.17 inference(resolution,[status(thm)],[f166,f16])).
% 41.31/21.17 fof(f583,plain,(
% 41.31/21.17 ~transitive_reflexive_rewrite(b,b)|~sQ14_spl|~sQ0_spl),
% 41.31/21.17 inference(resolution,[status(thm)],[f580,f44])).
% 41.31/21.17 fof(f588,plain,(
% 41.31/21.17 $false|~sQ14_spl|~sQ0_spl),
% 41.31/21.17 inference(forward_subsumption_resolution,[status(thm)],[f583,f51])).
% 41.31/21.17 fof(f589,plain,(
% 41.31/21.17 ~sQ14_spl|~sQ0_spl),
% 41.31/21.17 inference(contradiction_clause,[status(thm)],[f588])).
% 41.31/21.17 fof(f722,plain,(
% 41.31/21.17 ![X0]: (~transitive_reflexive_rewrite(sK2_skl(a,b),X0)|transitive_reflexive_rewrite(b,X0)|~sQ10_spl)),
% 41.31/21.17 inference(resolution,[status(thm)],[f289,f27])).
% 41.31/21.17 fof(f1044,plain,(
% 41.31/21.17 ![X0]: (~transitive_reflexive_rewrite(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),X0)|transitive_reflexive_rewrite(b,X0)|~sQ3_spl|~sQ5_spl|~sQ7_spl)),
% 41.31/21.17 inference(resolution,[status(thm)],[f348,f27])).
% 41.31/21.17 fof(f1143,plain,(
% 41.31/21.17 transitive_reflexive_rewrite(b,c)|~sQ8_spl),
% 41.31/21.17 inference(resolution,[status(thm)],[f157,f17])).
% 41.31/21.17 fof(f1160,plain,(
% 41.31/21.17 transitive_reflexive_rewrite(sK2_skl(c,a),sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b))|~sQ3_spl|~sQ5_spl|~sQ7_spl),
% 41.31/21.17 inference(resolution,[status(thm)],[f371,f350])).
% 41.31/21.17 fof(f2891,plain,(
% 41.31/21.17 $false|~sQ0_spl|~sQ8_spl),
% 41.31/21.17 inference(forward_subsumption_resolution,[status(thm)],[f1143,f54])).
% 41.31/21.17 fof(f2892,plain,(
% 41.31/21.17 ~sQ0_spl|~sQ8_spl),
% 41.31/21.17 inference(contradiction_clause,[status(thm)],[f2891])).
% 41.31/21.17 fof(f5429,plain,(
% 41.31/21.17 transitive_reflexive_rewrite(c,sK1_skl(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),c))|~sQ5_spl|~sQ7_spl|~sQ3_spl|~sQ6_spl),
% 41.31/21.17 inference(resolution,[status(thm)],[f1160,f214])).
% 41.31/21.17 fof(f5431,plain,(
% 41.31/21.17 transitive_reflexive_rewrite(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),sK1_skl(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),c))|~sQ5_spl|~sQ7_spl|~sQ3_spl|~sQ6_spl),
% 41.31/21.17 inference(resolution,[status(thm)],[f1160,f212])).
% 41.31/21.17 fof(f6903,plain,(
% 41.31/21.17 transitive_reflexive_rewrite(b,a)|~sQ10_spl|~sQ9_spl),
% 41.31/21.17 inference(resolution,[status(thm)],[f722,f102])).
% 41.31/21.17 fof(f7087,plain,(
% 41.31/21.17 ![X0]: (~transitive_reflexive_rewrite(a,X0)|transitive_reflexive_rewrite(b,X0)|~sQ10_spl|~sQ9_spl)),
% 41.31/21.17 inference(resolution,[status(thm)],[f6903,f27])).
% 41.31/21.17 fof(f7158,plain,(
% 41.31/21.17 transitive_reflexive_rewrite(b,c)|~sQ10_spl|~sQ9_spl),
% 41.31/21.17 inference(resolution,[status(thm)],[f7087,f17])).
% 41.31/21.17 fof(f7165,plain,(
% 41.31/21.17 $false|~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 41.31/21.17 inference(forward_subsumption_resolution,[status(thm)],[f7158,f54])).
% 41.31/21.17 fof(f7166,plain,(
% 41.31/21.17 ~sQ0_spl|~sQ10_spl|~sQ9_spl),
% 41.31/21.17 inference(contradiction_clause,[status(thm)],[f7165])).
% 41.31/21.17 fof(f9736,plain,(
% 41.31/21.17 sQ14_spl|~sQ2_spl),
% 41.31/21.17 inference(split_clause,[status(thm)],[f89,f139,f61])).
% 41.31/21.17 fof(f41909,plain,(
% 41.31/21.17 ~transitive_reflexive_rewrite(b,sK1_skl(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),c))|~sQ5_spl|~sQ7_spl|~sQ3_spl|~sQ6_spl|~sQ0_spl),
% 41.31/21.17 inference(resolution,[status(thm)],[f5429,f44])).
% 41.31/21.17 fof(f41954,plain,(
% 41.31/21.17 transitive_reflexive_rewrite(b,sK1_skl(sK1_skl(sK0_skl(sK2_skl(c,a),sK2_skl(b,a)),b),c))|~sQ6_spl|~sQ3_spl|~sQ5_spl|~sQ7_spl),
% 41.31/21.17 inference(resolution,[status(thm)],[f5431,f1044])).
% 41.31/21.17 fof(f41958,plain,(
% 41.31/21.17 $false|~sQ0_spl|~sQ6_spl|~sQ3_spl|~sQ5_spl|~sQ7_spl),
% 41.31/21.17 inference(forward_subsumption_resolution,[status(thm)],[f41954,f41909])).
% 41.31/21.17 fof(f41959,plain,(
% 41.31/21.17 ~sQ0_spl|~sQ6_spl|~sQ3_spl|~sQ5_spl|~sQ7_spl),
% 41.31/21.17 inference(contradiction_clause,[status(thm)],[f41958])).
% 41.31/21.17 fof(f41960,plain,(
% 41.31/21.17 $false),
% 41.31/21.17 inference(sat_refutation,[status(thm)],[f49,f67,f74,f81,f85,f104,f108,f172,f589,f2892,f7166,f9736,f41959])).
% 41.31/21.17 % SZS output end CNFRefutation for theBenchmark.p
% 41.31/21.18 % Elapsed time: 20.792484 seconds
% 41.31/21.18 % CPU time: 164.749100 seconds
% 41.31/21.18 % Total memory used: 353.851 MB
% 41.31/21.18 % Net memory used: 292.385 MB
%------------------------------------------------------------------------------