%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE093+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:58:19 PM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE093+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:38:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f1,axiom,(
% 0.13/0.43 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f2,axiom,(
% 0.13/0.43 (! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f6,axiom,(
% 0.13/0.43 (! [A] : multiplication(A,one) = A )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f12,axiom,(
% 0.13/0.43 (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f14,axiom,(
% 0.13/0.43 (! [A] : leq(addition(one,multiplication(star(A),A)),star(A)) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f17,axiom,(
% 0.13/0.43 (! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f19,axiom,(
% 0.13/0.43 (! [X0] : addition(domain(X0),one) = one )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f21,axiom,(
% 0.13/0.43 (! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f22,conjecture,(
% 0.13/0.43 (! [X0] : domain(star(X0)) = one )),
% 0.13/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f23,negated_conjecture,(
% 0.13/0.43 ~((! [X0] : domain(star(X0)) = one ))),
% 0.13/0.43 inference(negated_conjecture,[status(cth)],[f22])).
% 0.13/0.43 fof(f24,plain,(
% 0.13/0.43 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.43 fof(f25,plain,(
% 0.13/0.43 ![X0,X1,X2]: (addition(X0,addition(X1,X2))=addition(addition(X0,X1),X2))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.43 fof(f29,plain,(
% 0.13/0.43 ![X0]: (multiplication(X0,one)=X0)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.43 fof(f35,plain,(
% 0.13/0.43 ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 0.13/0.43 inference(NNF_transformation,[status(thm)],[f12])).
% 0.13/0.43 fof(f36,plain,(
% 0.13/0.43 (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f35])).
% 0.13/0.43 fof(f37,plain,(
% 0.13/0.43 ![X0,X1]: (~leq(X0,X1)|addition(X0,X1)=X1)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.43 fof(f40,plain,(
% 0.13/0.43 ![X0]: (leq(addition(one,multiplication(star(X0),X0)),star(X0)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.43 fof(f45,plain,(
% 0.13/0.43 ![X0]: (addition(X0,multiplication(domain(X0),X0))=multiplication(domain(X0),X0))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.43 fof(f47,plain,(
% 0.13/0.43 ![X0]: (addition(domain(X0),one)=one)),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.43 fof(f49,plain,(
% 0.13/0.43 ![X0,X1]: (domain(addition(X0,X1))=addition(domain(X0),domain(X1)))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f21])).
% 0.13/0.43 fof(f50,plain,(
% 0.13/0.43 (?[X0]: ~domain(star(X0))=one)),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.13/0.43 fof(f51,plain,(
% 0.13/0.43 ~domain(star(sK0_skl))=one),
% 0.13/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f50])).
% 0.13/0.43 fof(f52,plain,(
% 0.13/0.43 ~domain(star(sK0_skl))=one),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.43 fof(f169,plain,(
% 0.13/0.43 addition(one,domain(one))=multiplication(domain(one),one)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f29,f45])).
% 0.13/0.43 fof(f178,plain,(
% 0.13/0.43 addition(one,domain(one))=domain(one)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f29,f169])).
% 0.13/0.43 fof(f246,plain,(
% 0.13/0.43 ![X0]: (one=addition(one,domain(X0)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f47,f24])).
% 0.13/0.43 fof(f295,plain,(
% 0.13/0.43 ![X0]: (addition(addition(one,multiplication(star(X0),X0)),star(X0))=star(X0))),
% 0.13/0.43 inference(resolution,[status(thm)],[f37,f40])).
% 0.13/0.43 fof(f416,plain,(
% 0.13/0.43 one=domain(one)),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f246,f178])).
% 0.13/0.43 fof(f437,plain,(
% 0.13/0.43 ![X0]: (domain(addition(one,X0))=addition(one,domain(X0)))),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f416,f49])).
% 0.13/0.43 fof(f445,plain,(
% 0.13/0.43 ![X0]: (domain(addition(one,X0))=one)),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f246,f437])).
% 0.13/0.43 fof(f4887,plain,(
% 0.13/0.43 ![X0]: (addition(one,addition(multiplication(star(X0),X0),star(X0)))=star(X0))),
% 0.13/0.43 inference(forward_demodulation,[status(thm)],[f25,f295])).
% 0.13/0.43 fof(f4903,plain,(
% 0.13/0.43 ![X0]: (domain(star(X0))=one)),
% 0.13/0.43 inference(paramodulation,[status(thm)],[f4887,f445])).
% 0.13/0.43 fof(f5042,plain,(
% 0.13/0.43 ~one=one),
% 0.13/0.43 inference(backward_demodulation,[status(thm)],[f4903,f52])).
% 0.13/0.43 fof(f5088,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(trivial_equality_resolution,[status(thm)],[f5042])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.48 % Elapsed time: 0.118149 seconds
% 0.13/0.48 % CPU time: 0.497350 seconds
% 0.13/0.48 % Total memory used: 38.952 MB
% 0.13/0.48 % Net memory used: 38.652 MB
%------------------------------------------------------------------------------