%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM007+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 : n001.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 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM007+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n001.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 14:19:14 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f1,axiom,(
% 0.08/0.39 ( reflexive_rewrite(a,b)& reflexive_rewrite(a,c) ) ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f2,axiom,(
% 0.08/0.39 (! [A] :( ( reflexive_rewrite(b,A)& reflexive_rewrite(c,A) )=> goal ) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f3,axiom,(
% 0.08/0.39 (! [A] : equalish(A,A) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f4,axiom,(
% 0.08/0.39 (! [A,B] :( equalish(A,B)=> equalish(B,A) ) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f5,axiom,(
% 0.08/0.39 (! [A,B,C] :( ( equalish(A,B)& reflexive_rewrite(B,C) )=> reflexive_rewrite(A,C) ) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f6,axiom,(
% 0.08/0.39 (! [A,B] :( equalish(A,B)=> reflexive_rewrite(A,B) ) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f7,axiom,(
% 0.08/0.39 (! [A,B] :( rewrite(A,B)=> reflexive_rewrite(A,B) ) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f8,axiom,(
% 0.08/0.39 (! [A,B] :( reflexive_rewrite(A,B)=> ( equalish(A,B)| rewrite(A,B) ) ) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f9,axiom,(
% 0.08/0.39 (! [A,B,C] :( ( rewrite(A,B)& rewrite(A,C) )=> (? [D] :( rewrite(B,D)& rewrite(C,D) ) )) )),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f10,conjecture,(
% 0.08/0.39 goal ),
% 0.08/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f11,negated_conjecture,(
% 0.08/0.39 ~(goal )),
% 0.08/0.39 inference(negated_conjecture,[status(cth)],[f10])).
% 0.08/0.39 fof(f12,plain,(
% 0.08/0.39 reflexive_rewrite(a,b)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.39 fof(f13,plain,(
% 0.08/0.39 reflexive_rewrite(a,c)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.39 fof(f14,plain,(
% 0.08/0.39 ![A]: ((~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A))|goal)),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.39 fof(f15,plain,(
% 0.08/0.39 (![A]: (~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A)))|goal),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f14])).
% 0.08/0.39 fof(f16,plain,(
% 0.08/0.39 ![X0]: (~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0)|goal)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.08/0.39 fof(f17,plain,(
% 0.08/0.39 ![X0]: (equalish(X0,X0))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.39 fof(f18,plain,(
% 0.08/0.39 ![A,B]: (~equalish(A,B)|equalish(B,A))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.08/0.39 fof(f19,plain,(
% 0.08/0.39 ![X0,X1]: (~equalish(X0,X1)|equalish(X1,X0))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.08/0.39 fof(f20,plain,(
% 0.08/0.39 ![A,B,C]: ((~equalish(A,B)|~reflexive_rewrite(B,C))|reflexive_rewrite(A,C))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.08/0.39 fof(f21,plain,(
% 0.08/0.39 ![A,C]: ((![B]: (~equalish(A,B)|~reflexive_rewrite(B,C)))|reflexive_rewrite(A,C))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f20])).
% 0.08/0.39 fof(f22,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~equalish(X0,X1)|~reflexive_rewrite(X1,X2)|reflexive_rewrite(X0,X2))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.39 fof(f23,plain,(
% 0.08/0.39 ![A,B]: (~equalish(A,B)|reflexive_rewrite(A,B))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.08/0.39 fof(f24,plain,(
% 0.08/0.39 ![X0,X1]: (~equalish(X0,X1)|reflexive_rewrite(X0,X1))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.08/0.39 fof(f25,plain,(
% 0.08/0.39 ![A,B]: (~rewrite(A,B)|reflexive_rewrite(A,B))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.08/0.39 fof(f26,plain,(
% 0.08/0.39 ![X0,X1]: (~rewrite(X0,X1)|reflexive_rewrite(X0,X1))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.08/0.39 fof(f27,plain,(
% 0.08/0.39 ![A,B]: (~reflexive_rewrite(A,B)|(equalish(A,B)|rewrite(A,B)))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.08/0.39 fof(f28,plain,(
% 0.08/0.39 ![X0,X1]: (~reflexive_rewrite(X0,X1)|equalish(X0,X1)|rewrite(X0,X1))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.08/0.39 fof(f29,plain,(
% 0.08/0.39 ![A,B,C]: ((~rewrite(A,B)|~rewrite(A,C))|(?[D]: (rewrite(B,D)&rewrite(C,D))))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.08/0.39 fof(f30,plain,(
% 0.08/0.39 ![B,C]: ((![A]: (~rewrite(A,B)|~rewrite(A,C)))|(?[D]: (rewrite(B,D)&rewrite(C,D))))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f29])).
% 0.08/0.39 fof(f31,plain,(
% 0.08/0.39 ![B,C]: ((![A]: (~rewrite(A,B)|~rewrite(A,C)))|(rewrite(B,sK0_skl(C,B))&rewrite(C,sK0_skl(C,B))))),
% 0.08/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f30])).
% 0.08/0.39 fof(f32,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|rewrite(X1,sK0_skl(X2,X1)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/0.39 fof(f33,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|rewrite(X2,sK0_skl(X2,X1)))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/0.39 fof(f34,plain,(
% 0.08/0.39 ~goal),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.08/0.39 fof(f35,definition,(
% 0.08/0.39 ![X0]: (sQ0_spl <=> (~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0)))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f36,plain,(
% 0.08/0.39 ![X0]: (~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0)|~sQ0_spl)),
% 0.08/0.39 inference(component_clause,[status(thm)],[f35])).
% 0.08/0.39 fof(f38,definition,(
% 0.08/0.39 sQ1_spl <=> (goal)),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f39,plain,(
% 0.08/0.39 goal|~sQ1_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f38])).
% 0.08/0.39 fof(f41,plain,(
% 0.08/0.39 sQ0_spl|sQ1_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f16,f35,f38])).
% 0.08/0.39 fof(f43,plain,(
% 0.08/0.39 ![X0]: (reflexive_rewrite(X0,X0))),
% 0.08/0.39 inference(resolution,[status(thm)],[f24,f17])).
% 0.08/0.39 fof(f44,plain,(
% 0.08/0.39 ~reflexive_rewrite(b,c)|~sQ0_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f43,f36])).
% 0.08/0.39 fof(f45,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~reflexive_rewrite(X0,X1)|reflexive_rewrite(X2,X1)|~equalish(X0,X2))),
% 0.08/0.39 inference(resolution,[status(thm)],[f22,f19])).
% 0.08/0.39 fof(f52,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|reflexive_rewrite(X1,sK0_skl(X2,X1)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f32,f26])).
% 0.08/0.39 fof(f53,plain,(
% 0.08/0.39 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|reflexive_rewrite(X2,sK0_skl(X2,X1)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f33,f26])).
% 0.08/0.39 fof(f54,plain,(
% 0.08/0.39 ![X0,X1]: (~rewrite(X0,c)|~rewrite(X0,X1)|~reflexive_rewrite(b,sK0_skl(X1,c))|~sQ0_spl)),
% 0.08/0.39 inference(resolution,[status(thm)],[f52,f36])).
% 0.08/0.39 fof(f56,plain,(
% 0.08/0.39 ![X0,X1]: (~rewrite(X0,c)|~rewrite(X0,b)|~rewrite(X1,c)|~rewrite(X1,b)|~sQ0_spl)),
% 0.08/0.39 inference(resolution,[status(thm)],[f54,f53])).
% 0.08/0.39 fof(f57,definition,(
% 0.08/0.39 ![X0]: (sQ2_spl <=> (~rewrite(X0,c)|~rewrite(X0,b)))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f58,plain,(
% 0.08/0.39 ![X0]: (~rewrite(X0,c)|~rewrite(X0,b)|~sQ2_spl)),
% 0.08/0.39 inference(component_clause,[status(thm)],[f57])).
% 0.08/0.39 fof(f60,plain,(
% 0.08/0.39 sQ2_spl|~sQ0_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f56,f57,f35])).
% 0.08/0.39 fof(f61,plain,(
% 0.08/0.39 $false|~sQ1_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f39,f34])).
% 0.08/0.39 fof(f62,plain,(
% 0.08/0.39 ~sQ1_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f61])).
% 0.08/0.39 fof(f63,plain,(
% 0.08/0.39 ![X0]: (~rewrite(X0,b)|~reflexive_rewrite(X0,c)|equalish(X0,c)|~sQ2_spl)),
% 0.08/0.39 inference(resolution,[status(thm)],[f58,f28])).
% 0.08/0.39 fof(f71,plain,(
% 0.08/0.39 ![X0]: (~reflexive_rewrite(X0,c)|equalish(X0,c)|~reflexive_rewrite(X0,b)|equalish(X0,b)|~sQ2_spl)),
% 0.08/0.39 inference(resolution,[status(thm)],[f63,f28])).
% 0.08/0.39 fof(f72,plain,(
% 0.08/0.39 equalish(a,c)|~reflexive_rewrite(a,b)|equalish(a,b)|~sQ2_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f71,f13])).
% 0.08/0.39 fof(f74,definition,(
% 0.08/0.39 sQ3_spl <=> (equalish(a,c))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f75,plain,(
% 0.08/0.39 equalish(a,c)|~sQ3_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f74])).
% 0.08/0.39 fof(f77,definition,(
% 0.08/0.39 sQ4_spl <=> (reflexive_rewrite(a,b))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f79,plain,(
% 0.08/0.39 ~reflexive_rewrite(a,b)|sQ4_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.08/0.39 fof(f80,definition,(
% 0.08/0.39 sQ5_spl <=> (equalish(a,b))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f81,plain,(
% 0.08/0.39 equalish(a,b)|~sQ5_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f80])).
% 0.08/0.39 fof(f83,plain,(
% 0.08/0.39 sQ3_spl|~sQ4_spl|sQ5_spl|~sQ2_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f72,f74,f77,f80,f57])).
% 0.08/0.39 fof(f101,plain,(
% 0.08/0.39 ![X0]: (~reflexive_rewrite(a,X0)|reflexive_rewrite(b,X0)|~sQ5_spl)),
% 0.08/0.39 inference(resolution,[status(thm)],[f81,f45])).
% 0.08/0.39 fof(f109,plain,(
% 0.08/0.39 ~reflexive_rewrite(a,c)|~sQ5_spl|~sQ0_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f101,f44])).
% 0.08/0.39 fof(f111,plain,(
% 0.08/0.39 $false|~sQ5_spl|~sQ0_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f109,f13])).
% 0.08/0.39 fof(f112,plain,(
% 0.08/0.39 ~sQ5_spl|~sQ0_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f111])).
% 0.08/0.39 fof(f113,plain,(
% 0.08/0.39 ![X0]: (~reflexive_rewrite(a,X0)|reflexive_rewrite(c,X0)|~sQ3_spl)),
% 0.08/0.39 inference(resolution,[status(thm)],[f75,f45])).
% 0.08/0.39 fof(f120,plain,(
% 0.08/0.39 ![X0]: (~reflexive_rewrite(a,X0)|~reflexive_rewrite(b,X0)|~sQ3_spl|~sQ0_spl)),
% 0.08/0.39 inference(resolution,[status(thm)],[f113,f36])).
% 0.08/0.39 fof(f126,plain,(
% 0.08/0.39 $false|sQ4_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f79,f12])).
% 0.08/0.39 fof(f127,plain,(
% 0.08/0.39 sQ4_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f126])).
% 0.08/0.39 fof(f143,plain,(
% 0.08/0.39 ~reflexive_rewrite(a,b)|~sQ3_spl|~sQ0_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f120,f43])).
% 0.08/0.39 fof(f144,plain,(
% 0.08/0.39 ~sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f143,f77,f74,f35])).
% 0.08/0.39 fof(f145,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(sat_refutation,[status(thm)],[f41,f60,f62,f83,f112,f127,f144])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.43 % Elapsed time: 0.077724 seconds
% 0.08/0.43 % CPU time: 0.061925 seconds
% 0.08/0.43 % Total memory used: 589.024 KB
% 0.08/0.43 % Net memory used: 580.224 KB
%------------------------------------------------------------------------------