%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM007+2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM007+2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 14:14:23 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f1,axiom,(
% 0.15/0.39 ( reflexive_rewrite(a,b)& reflexive_rewrite(a,c) ) ),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f2,axiom,(
% 0.15/0.39 (! [A] :( ( reflexive_rewrite(b,A)& reflexive_rewrite(c,A) )=> goal ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f3,axiom,(
% 0.15/0.39 (! [A,B] :( A = B=> reflexive_rewrite(A,B) ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f4,axiom,(
% 0.15/0.39 (! [A,B] :( rewrite(A,B)=> reflexive_rewrite(A,B) ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f5,axiom,(
% 0.15/0.39 (! [A,B] :( reflexive_rewrite(A,B)=> ( A = B| rewrite(A,B) ) ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f6,axiom,(
% 0.15/0.39 (! [A,B,C] :( ( rewrite(A,B)& rewrite(A,C) )=> (? [D] :( rewrite(B,D)& rewrite(C,D) ) )) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f7,conjecture,(
% 0.15/0.39 goal ),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f8,negated_conjecture,(
% 0.15/0.39 ~(goal )),
% 0.15/0.39 inference(negated_conjecture,[status(cth)],[f7])).
% 0.15/0.39 fof(f9,plain,(
% 0.15/0.39 reflexive_rewrite(a,b)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.39 fof(f10,plain,(
% 0.15/0.39 reflexive_rewrite(a,c)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.39 fof(f11,plain,(
% 0.15/0.39 ![A]: ((~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A))|goal)),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.15/0.39 fof(f12,plain,(
% 0.15/0.39 (![A]: (~reflexive_rewrite(b,A)|~reflexive_rewrite(c,A)))|goal),
% 0.15/0.39 inference(miniscoping,[status(thm)],[f11])).
% 0.15/0.39 fof(f13,plain,(
% 0.15/0.39 ![X0]: (~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0)|goal)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.39 fof(f14,plain,(
% 0.15/0.39 ![A,B]: (~A=B|reflexive_rewrite(A,B))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.15/0.39 fof(f15,plain,(
% 0.15/0.39 ![X0,X1]: (~X0=X1|reflexive_rewrite(X0,X1))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.39 fof(f16,plain,(
% 0.15/0.39 ![A,B]: (~rewrite(A,B)|reflexive_rewrite(A,B))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.15/0.39 fof(f17,plain,(
% 0.15/0.39 ![X0,X1]: (~rewrite(X0,X1)|reflexive_rewrite(X0,X1))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.39 fof(f18,plain,(
% 0.15/0.39 ![A,B]: (~reflexive_rewrite(A,B)|(A=B|rewrite(A,B)))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.15/0.39 fof(f19,plain,(
% 0.15/0.39 ![X0,X1]: (~reflexive_rewrite(X0,X1)|X0=X1|rewrite(X0,X1))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.39 fof(f20,plain,(
% 0.15/0.39 ![A,B,C]: ((~rewrite(A,B)|~rewrite(A,C))|(?[D]: (rewrite(B,D)&rewrite(C,D))))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.15/0.39 fof(f21,plain,(
% 0.15/0.39 ![B,C]: ((![A]: (~rewrite(A,B)|~rewrite(A,C)))|(?[D]: (rewrite(B,D)&rewrite(C,D))))),
% 0.15/0.39 inference(miniscoping,[status(thm)],[f20])).
% 0.15/0.39 fof(f22,plain,(
% 0.15/0.39 ![B,C]: ((![A]: (~rewrite(A,B)|~rewrite(A,C)))|(rewrite(B,sK0_skl(C,B))&rewrite(C,sK0_skl(C,B))))),
% 0.15/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f21])).
% 0.15/0.39 fof(f23,plain,(
% 0.15/0.39 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|rewrite(X1,sK0_skl(X2,X1)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.39 fof(f24,plain,(
% 0.15/0.39 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|rewrite(X2,sK0_skl(X2,X1)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.39 fof(f25,plain,(
% 0.15/0.39 ~goal),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.39 fof(f26,plain,(
% 0.15/0.39 ![X0]: (reflexive_rewrite(X0,X0))),
% 0.15/0.39 inference(destructive_equality_resolution,[status(thm)],[f15])).
% 0.15/0.39 fof(f27,plain,(
% 0.15/0.39 ![X0]: (~reflexive_rewrite(b,X0)|~reflexive_rewrite(c,X0))),
% 0.15/0.39 inference(backward_subsumption_resolution,[status(thm)],[f13,f25])).
% 0.15/0.39 fof(f28,plain,(
% 0.15/0.39 ~reflexive_rewrite(c,b)),
% 0.15/0.39 inference(resolution,[status(thm)],[f26,f27])).
% 0.15/0.39 fof(f29,plain,(
% 0.15/0.39 a=c|rewrite(a,c)),
% 0.15/0.39 inference(resolution,[status(thm)],[f19,f10])).
% 0.15/0.39 fof(f30,plain,(
% 0.15/0.39 a=b|rewrite(a,b)),
% 0.15/0.39 inference(resolution,[status(thm)],[f19,f9])).
% 0.15/0.39 fof(f34,plain,(
% 0.15/0.39 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|reflexive_rewrite(X1,sK0_skl(X2,X1)))),
% 0.15/0.39 inference(resolution,[status(thm)],[f23,f17])).
% 0.15/0.40 fof(f35,plain,(
% 0.15/0.40 ![X0,X1,X2]: (~rewrite(X0,X1)|~rewrite(X0,X2)|reflexive_rewrite(X2,sK0_skl(X2,X1)))),
% 0.15/0.40 inference(resolution,[status(thm)],[f24,f17])).
% 0.15/0.40 fof(f36,plain,(
% 0.15/0.40 ![X0,X1]: (~rewrite(X0,b)|~rewrite(X0,X1)|~reflexive_rewrite(c,sK0_skl(X1,b)))),
% 0.15/0.40 inference(resolution,[status(thm)],[f34,f27])).
% 0.15/0.40 fof(f38,plain,(
% 0.15/0.40 ![X0,X1]: (~rewrite(X0,b)|~rewrite(X0,c)|~rewrite(X1,b)|~rewrite(X1,c))),
% 0.15/0.40 inference(resolution,[status(thm)],[f35,f36])).
% 0.15/0.40 fof(f42,plain,(
% 0.15/0.40 ![X0]: (~rewrite(X0,b)|~rewrite(X0,c)|~rewrite(a,c)|a=b)),
% 0.15/0.40 inference(resolution,[status(thm)],[f38,f30])).
% 0.15/0.40 fof(f43,plain,(
% 0.15/0.40 ![X0]: (~rewrite(X0,b)|~rewrite(X0,c)|a=b|a=c)),
% 0.15/0.40 inference(resolution,[status(thm)],[f42,f29])).
% 0.15/0.40 fof(f44,plain,(
% 0.15/0.40 ~rewrite(a,c)|a=b|a=c|a=b),
% 0.15/0.40 inference(resolution,[status(thm)],[f43,f30])).
% 0.15/0.40 fof(f45,plain,(
% 0.15/0.40 ~rewrite(a,c)|a=b|a=c),
% 0.15/0.40 inference(duplicate_literals_removal,[status(thm)],[f44])).
% 0.15/0.40 fof(f46,plain,(
% 0.15/0.40 a=b|a=c),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f45,f29])).
% 0.15/0.40 fof(f50,plain,(
% 0.15/0.40 reflexive_rewrite(b,c)|a=c),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f46,f10])).
% 0.15/0.40 fof(f55,plain,(
% 0.15/0.40 a=c|~reflexive_rewrite(c,c)),
% 0.15/0.40 inference(resolution,[status(thm)],[f50,f27])).
% 0.15/0.40 fof(f65,plain,(
% 0.15/0.40 reflexive_rewrite(c,b)),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f66,f9])).
% 0.15/0.40 fof(f66,plain,(
% 0.15/0.40 a=c),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f55,f26])).
% 0.15/0.40 fof(f69,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f65,f28])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.048767 seconds
% 0.15/0.42 % CPU time: 0.117373 seconds
% 0.15/0.42 % Total memory used: 40.076 MB
% 0.15/0.42 % Net memory used: 39.864 MB
%------------------------------------------------------------------------------