%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE129+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 12:58:22 PM UTC 2026
% Result : Theorem 0.07s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE129+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n005.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 22:45:19 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.38 % Refutation found
% 0.07/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.38 fof(f4,axiom,(
% 0.07/0.38 (! [A] : addition(A,A) = A )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f23,axiom,(
% 0.07/0.38 (! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f27,axiom,(
% 0.07/0.38 (! [X0] : forward_diamond(X0,divergence(X0)) = divergence(X0) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f29,conjecture,(
% 0.07/0.38 (! [X0] :( divergence(X0) = zero<= (! [X1] :( addition(domain(X1),forward_diamond(X0,domain(X1))) = forward_diamond(X0,domain(X1))=> domain(X1) = zero ) )) )),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f30,negated_conjecture,(
% 0.07/0.38 ~((! [X0] :( divergence(X0) = zero<= (! [X1] :( addition(domain(X1),forward_diamond(X0,domain(X1))) = forward_diamond(X0,domain(X1))=> domain(X1) = zero ) )) ))),
% 0.07/0.38 inference(negated_conjecture,[status(cth)],[f29])).
% 0.07/0.38 fof(f34,plain,(
% 0.07/0.38 ![X0]: (addition(X0,X0)=X0)),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.07/0.38 fof(f56,plain,(
% 0.07/0.38 ![X0,X1]: (forward_diamond(X0,X1)=domain(multiplication(X0,domain(X1))))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.07/0.38 fof(f60,plain,(
% 0.07/0.38 ![X0]: (forward_diamond(X0,divergence(X0))=divergence(X0))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.07/0.38 fof(f63,plain,(
% 0.07/0.38 (?[X0]: (~divergence(X0)=zero&(![X1]: (~addition(domain(X1),forward_diamond(X0,domain(X1)))=forward_diamond(X0,domain(X1))|domain(X1)=zero))))),
% 0.07/0.38 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.07/0.38 fof(f64,plain,(
% 0.07/0.38 (~divergence(sK0_skl)=zero&(![X1]: (~addition(domain(X1),forward_diamond(sK0_skl,domain(X1)))=forward_diamond(sK0_skl,domain(X1))|domain(X1)=zero)))),
% 0.07/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f63])).
% 0.07/0.38 fof(f65,plain,(
% 0.07/0.38 ~divergence(sK0_skl)=zero),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f64])).
% 0.07/0.38 fof(f66,plain,(
% 0.07/0.38 ![X0]: (~addition(domain(X0),forward_diamond(sK0_skl,domain(X0)))=forward_diamond(sK0_skl,domain(X0))|domain(X0)=zero)),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f64])).
% 0.07/0.38 fof(f94,plain,(
% 0.07/0.38 ![X0,X1]: (~addition(domain(multiplication(X0,domain(X1))),forward_diamond(sK0_skl,forward_diamond(X0,X1)))=forward_diamond(sK0_skl,domain(multiplication(X0,domain(X1))))|domain(multiplication(X0,domain(X1)))=zero)),
% 0.07/0.38 inference(paramodulation,[status(thm)],[f56,f66])).
% 0.07/0.38 fof(f96,plain,(
% 0.07/0.38 ![X0,X1]: (~addition(forward_diamond(X0,X1),forward_diamond(sK0_skl,forward_diamond(X0,X1)))=forward_diamond(sK0_skl,domain(multiplication(X0,domain(X1))))|domain(multiplication(X0,domain(X1)))=zero)),
% 0.07/0.38 inference(forward_demodulation,[status(thm)],[f56,f94])).
% 0.07/0.38 fof(f97,plain,(
% 0.07/0.38 ![X0,X1]: (~addition(forward_diamond(X0,X1),forward_diamond(sK0_skl,forward_diamond(X0,X1)))=forward_diamond(sK0_skl,forward_diamond(X0,X1))|domain(multiplication(X0,domain(X1)))=zero)),
% 0.07/0.38 inference(forward_demodulation,[status(thm)],[f56,f96])).
% 0.07/0.38 fof(f98,plain,(
% 0.07/0.38 ![X0,X1]: (~addition(forward_diamond(X0,X1),forward_diamond(sK0_skl,forward_diamond(X0,X1)))=forward_diamond(sK0_skl,forward_diamond(X0,X1))|forward_diamond(X0,X1)=zero)),
% 0.07/0.38 inference(forward_demodulation,[status(thm)],[f56,f97])).
% 0.07/0.38 fof(f315,plain,(
% 0.07/0.38 ![X0]: (~addition(divergence(X0),forward_diamond(sK0_skl,forward_diamond(X0,divergence(X0))))=forward_diamond(sK0_skl,forward_diamond(X0,divergence(X0)))|forward_diamond(X0,divergence(X0))=zero)),
% 0.07/0.38 inference(paramodulation,[status(thm)],[f60,f98])).
% 0.07/0.38 fof(f321,plain,(
% 0.07/0.38 ![X0]: (~addition(divergence(X0),forward_diamond(sK0_skl,divergence(X0)))=forward_diamond(sK0_skl,forward_diamond(X0,divergence(X0)))|forward_diamond(X0,divergence(X0))=zero)),
% 0.07/0.38 inference(forward_demodulation,[status(thm)],[f60,f315])).
% 0.07/0.38 fof(f322,plain,(
% 0.07/0.38 ![X0]: (~addition(divergence(X0),forward_diamond(sK0_skl,divergence(X0)))=forward_diamond(sK0_skl,divergence(X0))|forward_diamond(X0,divergence(X0))=zero)),
% 0.07/0.38 inference(forward_demodulation,[status(thm)],[f60,f321])).
% 0.07/0.38 fof(f323,plain,(
% 0.07/0.38 ![X0]: (~addition(divergence(X0),forward_diamond(sK0_skl,divergence(X0)))=forward_diamond(sK0_skl,divergence(X0))|divergence(X0)=zero)),
% 0.07/0.38 inference(forward_demodulation,[status(thm)],[f60,f322])).
% 0.07/0.38 fof(f331,plain,(
% 0.07/0.38 ~addition(divergence(sK0_skl),divergence(sK0_skl))=forward_diamond(sK0_skl,divergence(sK0_skl))|divergence(sK0_skl)=zero),
% 0.07/0.38 inference(paramodulation,[status(thm)],[f60,f323])).
% 0.07/0.38 fof(f336,plain,(
% 0.07/0.38 ~divergence(sK0_skl)=forward_diamond(sK0_skl,divergence(sK0_skl))|divergence(sK0_skl)=zero),
% 0.07/0.38 inference(forward_demodulation,[status(thm)],[f34,f331])).
% 0.07/0.38 fof(f337,plain,(
% 0.07/0.38 ~divergence(sK0_skl)=divergence(sK0_skl)|divergence(sK0_skl)=zero),
% 0.07/0.38 inference(forward_demodulation,[status(thm)],[f60,f336])).
% 0.07/0.38 fof(f338,plain,(
% 0.07/0.38 divergence(sK0_skl)=zero),
% 0.07/0.38 inference(trivial_equality_resolution,[status(thm)],[f337])).
% 0.07/0.38 fof(f339,plain,(
% 0.07/0.38 $false),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f338,f65])).
% 0.07/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.045498 seconds
% 0.12/0.40 % CPU time: 0.128927 seconds
% 0.12/0.40 % Total memory used: 46.584 MB
% 0.12/0.40 % Net memory used: 46.445 MB
%------------------------------------------------------------------------------