%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE052+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 : n011.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 12:58:15 PM UTC 2026
% Result : Theorem 0.15s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE052+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
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 22:40:55 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.45 % Refutation found
% 0.15/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.45 fof(f1,axiom,(
% 0.15/0.45 (! [A,B] : addition(A,B) = addition(B,A) )),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f7,axiom,(
% 0.15/0.45 (! [A] : multiplication(one,A) = A )),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f9,axiom,(
% 0.15/0.45 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f13,axiom,(
% 0.15/0.45 (! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) )),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f15,axiom,(
% 0.15/0.45 (! [X0] : addition(domain(X0),one) = one )),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f18,conjecture,(
% 0.15/0.45 (! [X0] : multiplication(domain(X0),X0) = X0 )),
% 0.15/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.45 fof(f19,negated_conjecture,(
% 0.15/0.45 ~((! [X0] : multiplication(domain(X0),X0) = X0 ))),
% 0.15/0.45 inference(negated_conjecture,[status(cth)],[f18])).
% 0.15/0.45 fof(f20,plain,(
% 0.15/0.45 ![X0,X1]: (addition(X0,X1)=addition(X1,X0))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.45 fof(f26,plain,(
% 0.15/0.45 ![X0]: (multiplication(one,X0)=X0)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.45 fof(f28,plain,(
% 0.15/0.45 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.45 fof(f35,plain,(
% 0.15/0.45 ![X0]: (addition(X0,multiplication(domain(X0),X0))=multiplication(domain(X0),X0))),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.45 fof(f37,plain,(
% 0.15/0.45 ![X0]: (addition(domain(X0),one)=one)),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.45 fof(f40,plain,(
% 0.15/0.45 (?[X0]: ~multiplication(domain(X0),X0)=X0)),
% 0.15/0.45 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.15/0.45 fof(f41,plain,(
% 0.15/0.45 ~multiplication(domain(sK0_skl),sK0_skl)=sK0_skl),
% 0.15/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f40])).
% 0.15/0.45 fof(f42,plain,(
% 0.15/0.45 ~multiplication(domain(sK0_skl),sK0_skl)=sK0_skl),
% 0.15/0.45 inference(cnf_transformation,[status(thm)],[f41])).
% 0.15/0.45 fof(f43,plain,(
% 0.15/0.45 ![X0]: (addition(one,domain(X0))=one)),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f20,f37])).
% 0.15/0.45 fof(f104,plain,(
% 0.15/0.45 ![X0,X1]: (multiplication(addition(one,X0),X1)=addition(X1,multiplication(X0,X1)))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f26,f28])).
% 0.15/0.45 fof(f1097,plain,(
% 0.15/0.45 ![X0]: (multiplication(addition(one,domain(X0)),X0)=multiplication(domain(X0),X0))),
% 0.15/0.45 inference(paramodulation,[status(thm)],[f35,f104])).
% 0.15/0.45 fof(f1159,plain,(
% 0.15/0.45 ![X0]: (multiplication(one,X0)=multiplication(domain(X0),X0))),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f43,f1097])).
% 0.15/0.45 fof(f1160,plain,(
% 0.15/0.45 ~sK0_skl=sK0_skl),
% 0.15/0.45 inference(backward_demodulation,[status(thm)],[f1167,f42])).
% 0.15/0.45 fof(f1167,plain,(
% 0.15/0.45 ![X0]: (X0=multiplication(domain(X0),X0))),
% 0.15/0.45 inference(forward_demodulation,[status(thm)],[f26,f1159])).
% 0.15/0.45 fof(f1213,plain,(
% 0.15/0.45 $false),
% 0.15/0.45 inference(trivial_equality_resolution,[status(thm)],[f1160])).
% 0.15/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.49 % Elapsed time: 0.092587 seconds
% 0.15/0.49 % CPU time: 0.479163 seconds
% 0.15/0.49 % Total memory used: 65.161 MB
% 0.15/0.49 % Net memory used: 64.975 MB
%------------------------------------------------------------------------------