%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE148+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 : 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 12:58:24 PM UTC 2026
% Result : Theorem 0.14s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE148+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.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 22:51:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.50 % Refutation found
% 0.14/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.50 fof(f1,axiom,(
% 0.14/0.50 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.14/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f3,axiom,(
% 0.14/0.50 (! [A] : addition(A,zero) = A )),
% 0.14/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f5,axiom,(
% 0.14/0.50 (! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) )),
% 0.14/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f6,axiom,(
% 0.14/0.50 (! [A] : multiplication(A,one) = A )),
% 0.14/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f8,axiom,(
% 0.14/0.50 (! [A,B,C] : multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) )),
% 0.14/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f10,axiom,(
% 0.14/0.50 (! [A] : multiplication(zero,A) = zero )),
% 0.14/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f15,axiom,(
% 0.14/0.50 (! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one) )),
% 0.14/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f19,conjecture,(
% 0.14/0.50 (! [X0,X1] :( multiplication(X0,X1) = zero=> multiplication(X0,strong_iteration(X1)) = X0 ) )),
% 0.14/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f20,negated_conjecture,(
% 0.14/0.50 ~((! [X0,X1] :( multiplication(X0,X1) = zero=> multiplication(X0,strong_iteration(X1)) = X0 ) ))),
% 0.14/0.50 inference(negated_conjecture,[status(cth)],[f19])).
% 0.14/0.50 fof(f21,plain,(
% 0.14/0.50 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.50 fof(f23,plain,(
% 0.14/0.50 ![X0]: (addition(X0,zero)=X0)),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.50 fof(f25,plain,(
% 0.14/0.50 ![X0,X1,X2]: (multiplication(X0,multiplication(X1,X2))=multiplication(multiplication(X0,X1),X2))),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.50 fof(f26,plain,(
% 0.14/0.50 ![X0]: (multiplication(X0,one)=X0)),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.50 fof(f28,plain,(
% 0.14/0.50 ![X0,X1,X2]: (multiplication(X0,addition(X1,X2))=addition(multiplication(X0,X1),multiplication(X0,X2)))),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.50 fof(f30,plain,(
% 0.14/0.50 ![X0]: (multiplication(zero,X0)=zero)),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.50 fof(f37,plain,(
% 0.14/0.50 ![X0]: (strong_iteration(X0)=addition(multiplication(X0,strong_iteration(X0)),one))),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.50 fof(f45,plain,(
% 0.14/0.50 (?[X0,X1]: (multiplication(X0,X1)=zero&~multiplication(X0,strong_iteration(X1))=X0))),
% 0.14/0.50 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.14/0.50 fof(f46,plain,(
% 0.14/0.50 (multiplication(sK0_skl,sK1_skl)=zero&~multiplication(sK0_skl,strong_iteration(sK1_skl))=sK0_skl)),
% 0.14/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f45])).
% 0.14/0.50 fof(f47,plain,(
% 0.14/0.50 multiplication(sK0_skl,sK1_skl)=zero),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f46])).
% 0.14/0.50 fof(f48,plain,(
% 0.14/0.50 ~multiplication(sK0_skl,strong_iteration(sK1_skl))=sK0_skl),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f46])).
% 0.14/0.50 fof(f51,plain,(
% 0.14/0.50 ![X0]: (multiplication(sK0_skl,multiplication(sK1_skl,X0))=multiplication(zero,X0))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f47,f25])).
% 0.14/0.50 fof(f55,plain,(
% 0.14/0.50 ![X0]: (multiplication(sK0_skl,multiplication(sK1_skl,X0))=zero)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f30,f51])).
% 0.14/0.50 fof(f131,plain,(
% 0.14/0.50 ![X0,X1]: (multiplication(sK0_skl,addition(X0,multiplication(sK1_skl,X1)))=addition(multiplication(sK0_skl,X0),zero))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f55,f28])).
% 0.14/0.50 fof(f135,plain,(
% 0.14/0.50 ![X0,X1]: (multiplication(sK0_skl,addition(X0,multiplication(sK1_skl,X1)))=multiplication(sK0_skl,X0))),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f23,f131])).
% 0.14/0.50 fof(f374,plain,(
% 0.14/0.50 ![X0]: (strong_iteration(X0)=addition(one,multiplication(X0,strong_iteration(X0))))),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f21,f37])).
% 0.14/0.50 fof(f1568,plain,(
% 0.14/0.50 multiplication(sK0_skl,strong_iteration(sK1_skl))=multiplication(sK0_skl,one)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f374,f135])).
% 0.14/0.50 fof(f1603,plain,(
% 0.14/0.50 multiplication(sK0_skl,strong_iteration(sK1_skl))=sK0_skl),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f26,f1568])).
% 0.14/0.50 fof(f1604,plain,(
% 0.14/0.50 $false),
% 0.14/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1603,f48])).
% 0.14/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.52 % Elapsed time: 0.148479 seconds
% 0.14/0.52 % CPU time: 1.018939 seconds
% 0.14/0.52 % Total memory used: 82.032 MB
% 0.14/0.52 % Net memory used: 81.413 MB
%------------------------------------------------------------------------------