%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE083+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 : n009.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 12:58:18 PM UTC 2026
% Result : Theorem 0.12s 0.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE083+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
% 0.08/0.53 % Computer : n009.cluster.edu
% 0.08/0.53 % Model : x86_64 x86_64
% 0.08/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.53 % Memory : 8046.5625MB
% 0.08/0.53 % OS : Linux 6.8.0-71-generic
% 0.08/0.53 % CPULimit : 300
% 0.08/0.53 % WCLimit : 300
% 0.08/0.53 % DateTime : Sun Sep 20 22:42:13 UTC 2026
% 0.08/0.53 % CPUTime :
% 0.08/0.54 % Drodi V4.1.1
% 0.12/0.71 % Refutation found
% 0.12/0.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.71 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.71 fof(f3,axiom,(
% 0.12/0.71 (! [A] : addition(A,zero) = A )),
% 0.12/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.71 fof(f7,axiom,(
% 0.12/0.71 (! [A] : multiplication(one,A) = A )),
% 0.12/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.71 fof(f9,axiom,(
% 0.12/0.71 (! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) )),
% 0.12/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.71 fof(f13,axiom,(
% 0.12/0.71 (! [X0] : multiplication(antidomain(X0),X0) = zero )),
% 0.12/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.71 fof(f15,axiom,(
% 0.12/0.71 (! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one )),
% 0.12/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.71 fof(f16,axiom,(
% 0.12/0.71 (! [X0] : domain(X0) = antidomain(antidomain(X0)) )),
% 0.12/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.71 fof(f21,conjecture,(
% 0.12/0.71 (! [X0] : X0 = multiplication(domain(X0),X0) )),
% 0.12/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.71 fof(f22,negated_conjecture,(
% 0.12/0.71 ~((! [X0] : X0 = multiplication(domain(X0),X0) ))),
% 0.12/0.71 inference(negated_conjecture,[status(cth)],[f21])).
% 0.12/0.71 fof(f25,plain,(
% 0.12/0.71 ![X0]: (addition(X0,zero)=X0)),
% 0.12/0.71 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.71 fof(f29,plain,(
% 0.12/0.71 ![X0]: (multiplication(one,X0)=X0)),
% 0.12/0.71 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.71 fof(f31,plain,(
% 0.12/0.71 ![X0,X1,X2]: (multiplication(addition(X0,X1),X2)=addition(multiplication(X0,X2),multiplication(X1,X2)))),
% 0.12/0.71 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.71 fof(f38,plain,(
% 0.12/0.71 ![X0]: (multiplication(antidomain(X0),X0)=zero)),
% 0.12/0.71 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.71 fof(f40,plain,(
% 0.12/0.71 ![X0]: (addition(antidomain(antidomain(X0)),antidomain(X0))=one)),
% 0.12/0.71 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.71 fof(f41,plain,(
% 0.12/0.71 ![X0]: (domain(X0)=antidomain(antidomain(X0)))),
% 0.12/0.71 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.71 fof(f46,plain,(
% 0.12/0.71 (?[X0]: ~X0=multiplication(domain(X0),X0))),
% 0.12/0.71 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.12/0.71 fof(f47,plain,(
% 0.12/0.71 ~sK0_skl=multiplication(domain(sK0_skl),sK0_skl)),
% 0.12/0.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f46])).
% 0.12/0.71 fof(f48,plain,(
% 0.12/0.71 ~sK0_skl=multiplication(domain(sK0_skl),sK0_skl)),
% 0.12/0.71 inference(cnf_transformation,[status(thm)],[f47])).
% 0.12/0.71 fof(f49,plain,(
% 0.12/0.71 ![X0]: (addition(domain(X0),antidomain(X0))=one)),
% 0.12/0.71 inference(backward_demodulation,[status(thm)],[f41,f40])).
% 0.12/0.71 fof(f1013,plain,(
% 0.12/0.71 ![X0,X1]: (multiplication(addition(X0,antidomain(X1)),X1)=addition(multiplication(X0,X1),zero))),
% 0.12/0.71 inference(paramodulation,[status(thm)],[f38,f31])).
% 0.12/0.71 fof(f1043,plain,(
% 0.12/0.71 ![X0,X1]: (multiplication(addition(X0,antidomain(X1)),X1)=multiplication(X0,X1))),
% 0.12/0.71 inference(forward_demodulation,[status(thm)],[f25,f1013])).
% 0.12/0.71 fof(f2919,plain,(
% 0.12/0.71 ![X0]: (multiplication(one,X0)=multiplication(domain(X0),X0))),
% 0.12/0.71 inference(paramodulation,[status(thm)],[f49,f1043])).
% 0.12/0.71 fof(f2941,plain,(
% 0.12/0.71 ~sK0_skl=sK0_skl),
% 0.12/0.71 inference(backward_demodulation,[status(thm)],[f2942,f48])).
% 0.12/0.71 fof(f2942,plain,(
% 0.12/0.71 ![X0]: (X0=multiplication(domain(X0),X0))),
% 0.12/0.71 inference(forward_demodulation,[status(thm)],[f29,f2919])).
% 0.12/0.71 fof(f2951,plain,(
% 0.12/0.71 $false),
% 0.12/0.71 inference(trivial_equality_resolution,[status(thm)],[f2941])).
% 0.12/0.71 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.74 % Elapsed time: 0.196901 seconds
% 0.12/0.74 % CPU time: 1.330064 seconds
% 0.12/0.74 % Total memory used: 89.618 MB
% 0.12/0.74 % Net memory used: 88.785 MB
%------------------------------------------------------------------------------