%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE001+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 : n015.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 12:58:08 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE001+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 22:41:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f4,axiom,(
% 0.13/0.40 (! [A] : addition(A,A) = A )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,axiom,(
% 0.13/0.40 (! [A,B] :( leq(A,B)<=> addition(A,B) = B ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f13,conjecture,(
% 0.13/0.40 (! [X0,X1,X2] :( leq(X0,X1)=> leq(addition(X0,X2),addition(X0,X2)) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f14,negated_conjecture,(
% 0.13/0.40 ~((! [X0,X1,X2] :( leq(X0,X1)=> leq(addition(X0,X2),addition(X0,X2)) ) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f13])).
% 0.13/0.40 fof(f18,plain,(
% 0.13/0.40 ![X0]: (addition(X0,X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f26,plain,(
% 0.13/0.40 ![A,B]: ((~leq(A,B)|addition(A,B)=B)&(leq(A,B)|~addition(A,B)=B))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f27,plain,(
% 0.13/0.40 (![A,B]: (~leq(A,B)|addition(A,B)=B))&(![A,B]: (leq(A,B)|~addition(A,B)=B))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f26])).
% 0.13/0.40 fof(f29,plain,(
% 0.13/0.40 ![X0,X1]: (leq(X0,X1)|~addition(X0,X1)=X1)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f30,plain,(
% 0.13/0.40 (?[X0,X1,X2]: (leq(X0,X1)&~leq(addition(X0,X2),addition(X0,X2))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f31,plain,(
% 0.13/0.40 ?[X0]: ((?[X1]: leq(X0,X1))&(?[X2]: ~leq(addition(X0,X2),addition(X0,X2))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f30])).
% 0.13/0.40 fof(f32,plain,(
% 0.13/0.40 (leq(sK0_skl,sK1_skl)&~leq(addition(sK0_skl,sK2_skl),addition(sK0_skl,sK2_skl)))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X2,sK2_skl)],[f31])).
% 0.13/0.40 fof(f34,plain,(
% 0.13/0.40 ~leq(addition(sK0_skl,sK2_skl),addition(sK0_skl,sK2_skl))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 ![X0]: (leq(X0,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f29,f18])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f34,f54])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.048200 seconds
% 0.13/0.43 % CPU time: 0.143070 seconds
% 0.13/0.43 % Total memory used: 66.556 MB
% 0.13/0.43 % Net memory used: 66.118 MB
%------------------------------------------------------------------------------