%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM017-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:42:09 PM UTC 2026
% Result : Unsatisfiable 14.01s 7.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM017-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.62 % Computer : n017.cluster.edu
% 0.14/5.62 % Model : x86_64 x86_64
% 0.14/5.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/5.62 % Memory : 8046.5625MB
% 0.14/5.62 % OS : Linux 6.8.0-71-generic
% 0.14/5.62 % CPULimit : 300
% 0.14/5.62 % WCLimit : 300
% 0.14/5.62 % DateTime : Mon Sep 21 01:54:17 UTC 2026
% 0.14/5.62 % CPUTime :
% 0.14/5.63 % Drodi V4.1.1
% 14.01/7.47 % Refutation found
% 14.01/7.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.01/7.47 % SZS output start CNFRefutation for theBenchmark
% 14.01/7.47 fof(f1,axiom,(
% 14.01/7.47 (![A,B]: (product(A,B,multiply(A,B)) ))),
% 14.01/7.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.01/7.47 fof(f2,axiom,(
% 14.01/7.47 (![A,B,C,D,E,F]: (( ~ product(A,B,C)| ~ product(D,E,B)| ~ product(A,D,F)| product(F,E,C) ) ))),
% 14.01/7.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.01/7.47 fof(f4,axiom,(
% 14.01/7.47 (![A,B,C]: (( ~ product(A,B,C)| product(B,A,C) ) ))),
% 14.01/7.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.01/7.47 fof(f5,axiom,(
% 14.01/7.47 (![A,B,C,D]: (( ~ product(A,B,C)| ~ product(A,D,C)| B = D ) ))),
% 14.01/7.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.01/7.47 fof(f7,axiom,(
% 14.01/7.47 (![A,B,C,D]: (( ~ product(A,B,C)| ~ product(A,B,D)| D = C ) ))),
% 14.01/7.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.01/7.47 fof(f8,axiom,(
% 14.01/7.47 (![A,B]: (( ~ divides(A,B)| product(A,second_divided_by_1st(A,B),B) ) ))),
% 14.01/7.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.01/7.47 fof(f9,axiom,(
% 14.01/7.47 (![A,B,C]: (( ~ product(A,B,C)| divides(A,C) ) ))),
% 14.01/7.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.01/7.47 fof(f10,axiom,(
% 14.01/7.47 (![A,B,C]: (( ~ divides(A,B)| ~ product(C,C,B)| ~ prime(A)| divides(A,C) ) ))),
% 14.01/7.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.01/7.47 fof(f11,hypothesis,(
% 14.01/7.47 prime(a) ),
% 14.01/7.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.01/7.47 fof(f15,negated_conjecture,(
% 14.01/7.47 (![A]: (( ~ divides(A,c)| ~ divides(A,b) ) ))),
% 14.01/7.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.01/7.47 fof(f16,plain,(
% 14.01/7.47 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 14.01/7.47 inference(cnf_transformation,[status(thm)],[f1])).
% 14.01/7.47 fof(f17,plain,(
% 14.01/7.47 ![C,E,F]: ((![A,D]: ((![B]: (~product(A,B,C)|~product(D,E,B)))|~product(A,D,F)))|product(F,E,C))),
% 14.01/7.47 inference(miniscoping,[status(thm)],[f2])).
% 14.01/7.47 fof(f18,plain,(
% 14.01/7.47 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X3,X4,X1)|~product(X0,X3,X5)|product(X5,X4,X2))),
% 14.01/7.47 inference(cnf_transformation,[status(thm)],[f17])).
% 14.01/7.47 fof(f21,plain,(
% 14.01/7.47 ![X0,X1,X2]: (~product(X0,X1,X2)|product(X1,X0,X2))),
% 14.01/7.47 inference(cnf_transformation,[status(thm)],[f4])).
% 14.01/7.47 fof(f22,plain,(
% 14.01/7.47 ![B,D]: ((![A,C]: (~product(A,B,C)|~product(A,D,C)))|B=D)),
% 14.01/7.47 inference(miniscoping,[status(thm)],[f5])).
% 14.01/7.47 fof(f23,plain,(
% 14.01/7.47 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|X1=X3)),
% 14.01/7.47 inference(cnf_transformation,[status(thm)],[f22])).
% 14.01/7.47 fof(f26,plain,(
% 14.01/7.47 ![C,D]: ((![A,B]: (~product(A,B,C)|~product(A,B,D)))|D=C)),
% 14.01/7.47 inference(miniscoping,[status(thm)],[f7])).
% 14.01/7.47 fof(f27,plain,(
% 14.01/7.47 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X3=X2)),
% 14.01/7.47 inference(cnf_transformation,[status(thm)],[f26])).
% 14.01/7.47 fof(f28,plain,(
% 14.01/7.47 ![X0,X1]: (~divides(X0,X1)|product(X0,second_divided_by_1st(X0,X1),X1))),
% 14.01/7.47 inference(cnf_transformation,[status(thm)],[f8])).
% 14.01/7.47 fof(f29,plain,(
% 14.01/7.47 ![A,C]: ((![B]: ~product(A,B,C))|divides(A,C))),
% 14.01/7.47 inference(miniscoping,[status(thm)],[f9])).
% 14.01/7.47 fof(f30,plain,(
% 14.01/7.47 ![X0,X1,X2]: (~product(X0,X1,X2)|divides(X0,X2))),
% 14.01/7.47 inference(cnf_transformation,[status(thm)],[f29])).
% 14.01/7.47 fof(f31,plain,(
% 14.01/7.47 ![A,C]: (((![B]: (~divides(A,B)|~product(C,C,B)))|~prime(A))|divides(A,C))),
% 14.01/7.48 inference(miniscoping,[status(thm)],[f10])).
% 14.01/7.48 fof(f32,plain,(
% 14.01/7.48 ![X0,X1,X2]: (~divides(X0,X1)|~product(X2,X2,X1)|~prime(X0)|divides(X0,X2))),
% 14.01/7.48 inference(cnf_transformation,[status(thm)],[f31])).
% 14.01/7.48 fof(f33,plain,(
% 14.01/7.48 prime(a)),
% 14.01/7.48 inference(cnf_transformation,[status(thm)],[f11])).
% 14.01/7.48 fof(f37,plain,(
% 14.01/7.48 ![X0]: (~divides(X0,c)|~divides(X0,b))),
% 14.01/7.48 inference(cnf_transformation,[status(thm)],[f15])).
% 14.01/7.48 fof(f38,plain,(
% 14.01/7.48 ![X0,X1]: (divides(X0,multiply(X0,X1)))),
% 14.01/7.48 inference(resolution,[status(thm)],[f16,f30])).
% 14.01/7.48 fof(f55,plain,(
% 14.01/7.48 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(X3,X0,X4)|product(X4,X1,multiply(X3,X2)))),
% 14.01/7.48 inference(resolution,[status(thm)],[f18,f16])).
% 14.01/7.48 fof(f61,plain,(
% 14.01/7.48 ![X0,X1]: (product(X0,X1,multiply(X1,X0)))),
% 14.01/7.48 inference(resolution,[status(thm)],[f21,f16])).
% 14.01/7.48 fof(f83,plain,(
% 14.01/7.48 ![X0,X1]: (divides(X0,multiply(X1,X0)))),
% 14.01/7.48 inference(resolution,[status(thm)],[f61,f30])).
% 14.01/7.48 fof(f112,plain,(
% 14.01/7.48 ![X0,X1,X2]: (~product(X0,X1,multiply(X2,X0))|X2=X1)),
% 14.01/7.48 inference(resolution,[status(thm)],[f23,f61])).
% 14.01/7.49 fof(f116,plain,(
% 14.01/7.49 ![X0,X1,X2]: (~product(X0,X1,X2)|X2=multiply(X1,X0))),
% 14.01/7.49 inference(resolution,[status(thm)],[f27,f61])).
% 14.01/7.49 fof(f117,plain,(
% 14.01/7.49 ![X0,X1,X2]: (~product(X0,X1,X2)|X2=multiply(X0,X1))),
% 14.01/7.49 inference(resolution,[status(thm)],[f27,f16])).
% 14.01/7.49 fof(f130,plain,(
% 14.01/7.49 ![X0,X1]: (product(X0,second_divided_by_1st(X0,multiply(X1,X0)),multiply(X1,X0)))),
% 14.01/7.49 inference(resolution,[status(thm)],[f28,f83])).
% 14.01/7.49 fof(f209,plain,(
% 14.01/7.49 ![X0,X1,X2]: (~product(X0,X0,multiply(X1,X2))|~prime(X1)|divides(X1,X0))),
% 14.01/7.49 inference(resolution,[status(thm)],[f32,f38])).
% 14.01/7.49 fof(f232,plain,(
% 14.01/7.49 ![X0]: (~prime(X0)|divides(X0,X0))),
% 14.01/7.49 inference(resolution,[status(thm)],[f209,f61])).
% 14.01/7.49 fof(f234,plain,(
% 14.01/7.49 divides(a,a)),
% 14.01/7.49 inference(resolution,[status(thm)],[f232,f33])).
% 14.01/7.49 fof(f236,plain,(
% 14.01/7.49 product(a,second_divided_by_1st(a,a),a)),
% 14.01/7.49 inference(resolution,[status(thm)],[f234,f28])).
% 14.01/7.49 fof(f252,plain,(
% 14.01/7.49 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|product(X2,X3,multiply(X0,multiply(X3,X1))))),
% 14.01/7.49 inference(resolution,[status(thm)],[f55,f61])).
% 14.01/7.49 fof(f261,plain,(
% 14.01/7.49 ![X0,X1]: (X0=second_divided_by_1st(X1,multiply(X0,X1)))),
% 14.01/7.49 inference(resolution,[status(thm)],[f130,f112])).
% 14.01/7.49 fof(f276,plain,(
% 14.01/7.49 product(second_divided_by_1st(a,a),a,a)),
% 14.01/7.49 inference(resolution,[status(thm)],[f236,f21])).
% 14.01/7.49 fof(f330,plain,(
% 14.01/7.49 a=multiply(a,second_divided_by_1st(a,a))),
% 14.01/7.49 inference(resolution,[status(thm)],[f116,f276])).
% 14.01/7.49 fof(f624,plain,(
% 14.01/7.49 ![X0,X1,X2]: (product(multiply(X0,X1),X2,multiply(X1,multiply(X2,X0))))),
% 14.01/7.49 inference(resolution,[status(thm)],[f252,f61])).
% 14.01/7.49 fof(f1455,plain,(
% 14.01/7.49 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X2,X0),X1))),
% 14.01/7.49 inference(resolution,[status(thm)],[f624,f117])).
% 14.01/7.49 fof(f7679,plain,(
% 14.01/7.49 ![X0,X1,X2]: (multiply(X0,X1)=second_divided_by_1st(X2,multiply(X1,multiply(X2,X0))))),
% 14.01/7.49 inference(paramodulation,[status(thm)],[f1455,f261])).
% 14.01/7.49 fof(f8907,plain,(
% 14.01/7.49 ![X0]: (multiply(second_divided_by_1st(a,a),X0)=second_divided_by_1st(a,multiply(X0,a)))),
% 14.01/7.49 inference(paramodulation,[status(thm)],[f330,f7679])).
% 14.01/7.49 fof(f8935,plain,(
% 14.01/7.49 ![X0]: (multiply(second_divided_by_1st(a,a),X0)=X0)),
% 14.01/7.49 inference(forward_demodulation,[status(thm)],[f261,f8907])).
% 14.01/7.49 fof(f9113,plain,(
% 14.01/7.49 ![X0]: (divides(X0,X0))),
% 14.01/7.49 inference(paramodulation,[status(thm)],[f8935,f83])).
% 14.01/7.49 fof(f9343,plain,(
% 14.01/7.49 ![X0]: (product(X0,second_divided_by_1st(X0,X0),X0))),
% 14.01/7.49 inference(resolution,[status(thm)],[f9113,f28])).
% 14.01/7.49 fof(f9366,plain,(
% 14.01/7.49 ![X0]: (X0=multiply(X0,second_divided_by_1st(X0,X0)))),
% 14.01/7.49 inference(resolution,[status(thm)],[f9343,f117])).
% 14.01/7.49 fof(f9444,plain,(
% 14.01/7.49 ![X0,X1]: (multiply(second_divided_by_1st(X0,X0),X1)=second_divided_by_1st(X0,multiply(X1,X0)))),
% 14.01/7.49 inference(paramodulation,[status(thm)],[f9366,f7679])).
% 14.01/7.49 fof(f9516,plain,(
% 14.01/7.49 ![X0,X1]: (multiply(second_divided_by_1st(X0,X0),X1)=X1)),
% 14.01/7.49 inference(forward_demodulation,[status(thm)],[f261,f9444])).
% 14.01/7.49 fof(f10130,plain,(
% 14.01/7.49 ![X0,X1]: (divides(second_divided_by_1st(X0,X0),X1))),
% 14.01/7.49 inference(paramodulation,[status(thm)],[f9516,f38])).
% 14.01/7.49 fof(f10235,plain,(
% 14.01/7.49 ![X0]: (~divides(second_divided_by_1st(X0,X0),b))),
% 14.01/7.49 inference(resolution,[status(thm)],[f10130,f37])).
% 14.01/7.49 fof(f10243,plain,(
% 14.01/7.49 $false),
% 14.01/7.49 inference(forward_subsumption_resolution,[status(thm)],[f10235,f10130])).
% 14.01/7.49 % SZS output end CNFRefutation for theBenchmark.p
% 14.01/7.50 % Elapsed time: 1.859635 seconds
% 14.01/7.50 % CPU time: 14.416851 seconds
% 14.01/7.50 % Total memory used: 74.534 MB
% 14.01/7.50 % Net memory used: 68.457 MB
%------------------------------------------------------------------------------