%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO028-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:06:47 PM UTC 2026
% Result : Unsatisfiable 16.43s 2.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO028-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 13:46:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 16.43/2.60 % Refutation found
% 16.43/2.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.43/2.60 % SZS output start CNFRefutation for theBenchmark
% 16.43/2.60 fof(f1,axiom,(
% 16.43/2.60 (![X,Y,Z]: (add(X,multiply(Y,multiply(X,Z))) = X ))),
% 16.43/2.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.43/2.60 fof(f3,axiom,(
% 16.43/2.60 (![X,Y]: (multiply(add(X,Y),add(X,inverse(Y))) = X ))),
% 16.43/2.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.43/2.60 fof(f4,axiom,(
% 16.43/2.60 (![X,Y,Z]: (multiply(X,add(Y,add(X,Z))) = X ))),
% 16.43/2.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.43/2.60 fof(f5,axiom,(
% 16.43/2.60 (![X,Y,Z]: (multiply(multiply(add(X,Y),add(Y,Z)),Y) = Y ))),
% 16.43/2.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.43/2.60 fof(f6,axiom,(
% 16.43/2.60 (![X,Y]: (add(multiply(X,Y),multiply(X,inverse(Y))) = X ))),
% 16.43/2.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.43/2.60 fof(f7,axiom,(
% 16.43/2.60 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 16.43/2.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.43/2.60 fof(f8,axiom,(
% 16.43/2.60 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 16.43/2.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.43/2.60 fof(f9,axiom,(
% 16.43/2.60 (![X,Y,Z]: (add(add(X,Y),Z) = add(X,add(Y,Z)) ))),
% 16.43/2.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.43/2.60 fof(f10,axiom,(
% 16.43/2.60 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 16.43/2.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.43/2.60 fof(f11,negated_conjecture,(
% 16.43/2.60 multiply(a,add(b,c)) != add(multiply(b,a),multiply(c,a)) ),
% 16.43/2.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.43/2.60 fof(f12,plain,(
% 16.43/2.60 ![X0,X1,X2]: (add(X0,multiply(X1,multiply(X0,X2)))=X0)),
% 16.43/2.60 inference(cnf_transformation,[status(thm)],[f1])).
% 16.43/2.60 fof(f14,plain,(
% 16.43/2.60 ![X0,X1]: (multiply(add(X0,X1),add(X0,inverse(X1)))=X0)),
% 16.43/2.60 inference(cnf_transformation,[status(thm)],[f3])).
% 16.43/2.60 fof(f15,plain,(
% 16.43/2.60 ![X0,X1,X2]: (multiply(X0,add(X1,add(X0,X2)))=X0)),
% 16.43/2.60 inference(cnf_transformation,[status(thm)],[f4])).
% 16.43/2.60 fof(f16,plain,(
% 16.43/2.60 ![X0,X1,X2]: (multiply(multiply(add(X0,X1),add(X1,X2)),X1)=X1)),
% 16.43/2.60 inference(cnf_transformation,[status(thm)],[f5])).
% 16.43/2.60 fof(f17,plain,(
% 16.43/2.60 ![X0,X1]: (add(multiply(X0,X1),multiply(X0,inverse(X1)))=X0)),
% 16.43/2.60 inference(cnf_transformation,[status(thm)],[f6])).
% 16.43/2.60 fof(f18,plain,(
% 16.43/2.60 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 16.43/2.60 inference(cnf_transformation,[status(thm)],[f7])).
% 16.43/2.60 fof(f19,plain,(
% 16.43/2.60 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 16.43/2.60 inference(cnf_transformation,[status(thm)],[f8])).
% 16.43/2.60 fof(f20,plain,(
% 16.43/2.60 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X0,add(X1,X2)))),
% 16.43/2.60 inference(cnf_transformation,[status(thm)],[f9])).
% 16.43/2.60 fof(f21,plain,(
% 16.43/2.60 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 16.43/2.60 inference(cnf_transformation,[status(thm)],[f10])).
% 16.43/2.60 fof(f22,plain,(
% 16.43/2.60 ~multiply(a,add(b,c))=add(multiply(b,a),multiply(c,a))),
% 16.43/2.60 inference(cnf_transformation,[status(thm)],[f11])).
% 16.43/2.60 fof(f30,plain,(
% 16.43/2.60 ![X0,X1,X2]: (multiply(add(X0,X1),multiply(add(X1,X2),X1))=X1)),
% 16.43/2.60 inference(backward_demodulation,[status(thm)],[f21,f16])).
% 16.43/2.60 fof(f47,plain,(
% 16.43/2.60 ![X0,X1]: (multiply(X0,add(X1,X0))=X0)),
% 16.43/2.60 inference(paramodulation,[status(thm)],[f12,f15])).
% 16.43/2.60 fof(f50,plain,(
% 16.43/2.60 ![X0,X1]: (add(X0,multiply(X1,X0))=X0)),
% 16.43/2.60 inference(paramodulation,[status(thm)],[f15,f12])).
% 16.43/2.60 fof(f62,plain,(
% 16.43/2.60 ![X0,X1]: (add(X0,multiply(X0,X1))=X0)),
% 16.43/2.60 inference(paramodulation,[status(thm)],[f19,f50])).
% 16.43/2.60 fof(f118,plain,(
% 16.43/2.60 ![X0,X1]: (multiply(multiply(X0,X1),X0)=multiply(X0,X1))),
% 16.43/2.60 inference(paramodulation,[status(thm)],[f62,f47])).
% 16.43/2.60 fof(f122,plain,(
% 16.43/2.60 ![X0,X1]: (multiply(X0,multiply(X1,X0))=multiply(X0,X1))),
% 16.43/2.60 inference(forward_demodulation,[status(thm)],[f21,f118])).
% 16.43/2.60 fof(f228,plain,(
% 16.43/2.60 ![X0,X1]: (multiply(X0,multiply(X0,X1))=multiply(X0,X1))),
% 16.43/2.60 inference(paramodulation,[status(thm)],[f19,f122])).
% 16.43/2.60 fof(f327,plain,(
% 16.43/2.60 ![X0,X1]: (multiply(add(X0,X1),X0)=multiply(add(X0,X1),add(X0,inverse(X1))))),
% 16.43/2.60 inference(paramodulation,[status(thm)],[f14,f228])).
% 16.43/2.60 fof(f350,plain,(
% 16.43/2.60 ![X0,X1]: (multiply(add(X0,X1),X1)=X1)),
% 16.43/2.60 inference(backward_demodulation,[status(thm)],[f351,f30])).
% 16.43/2.60 fof(f351,plain,(
% 16.43/2.60 ![X0,X1]: (multiply(add(X0,X1),X0)=X0)),
% 16.43/2.60 inference(forward_demodulation,[status(thm)],[f14,f327])).
% 16.43/2.60 fof(f377,plain,(
% 16.43/2.60 ![X0,X1,X2]: (add(X0,X1)=add(X0,add(multiply(X2,X0),X1)))),
% 16.43/2.62 inference(paramodulation,[status(thm)],[f50,f20])).
% 16.43/2.62 fof(f458,plain,(
% 16.43/2.62 ![X0,X1,X2]: (multiply(add(X0,add(X1,X2)),X2)=X2)),
% 16.43/2.62 inference(paramodulation,[status(thm)],[f20,f350])).
% 16.43/2.62 fof(f609,plain,(
% 16.43/2.62 ![X0,X1,X2]: (multiply(add(X0,X1),multiply(X2,X1))=multiply(X2,X1))),
% 16.43/2.62 inference(paramodulation,[status(thm)],[f50,f458])).
% 16.43/2.62 fof(f703,plain,(
% 16.43/2.62 ![X0,X1,X2]: (multiply(X0,X1)=multiply(add(X0,X2),multiply(add(X0,inverse(X2)),X1)))),
% 16.43/2.62 inference(paramodulation,[status(thm)],[f14,f21])).
% 16.43/2.62 fof(f716,plain,(
% 16.43/2.62 ![X0,X1,X2]: (add(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,inverse(X2))))=multiply(X0,X1))),
% 16.43/2.62 inference(paramodulation,[status(thm)],[f21,f17])).
% 16.43/2.62 fof(f756,plain,(
% 16.43/2.62 ![X0,X1,X2]: (add(multiply(X0,multiply(X1,X2)),multiply(X0,multiply(X1,inverse(X2))))=multiply(X0,X1))),
% 16.43/2.62 inference(forward_demodulation,[status(thm)],[f21,f716])).
% 16.43/2.62 fof(f1156,plain,(
% 16.43/2.62 ~multiply(a,add(b,c))=add(multiply(b,a),multiply(a,c))),
% 16.43/2.62 inference(paramodulation,[status(thm)],[f19,f22])).
% 16.43/2.62 fof(f18954,plain,(
% 16.43/2.62 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(X2)))=multiply(add(X0,X2),multiply(X1,inverse(X2))))),
% 16.43/2.62 inference(paramodulation,[status(thm)],[f609,f703])).
% 16.43/2.62 fof(f26236,plain,(
% 16.43/2.62 ![X0,X1,X2]: (add(multiply(X0,X1),multiply(add(X2,X1),multiply(X0,inverse(X1))))=multiply(add(X2,X1),X0))),
% 16.43/2.62 inference(paramodulation,[status(thm)],[f609,f756])).
% 16.43/2.62 fof(f26379,plain,(
% 16.43/2.62 ![X0,X1,X2]: (add(multiply(X0,X1),multiply(X2,multiply(X0,inverse(X1))))=add(multiply(X0,X1),multiply(X2,X0)))),
% 16.43/2.62 inference(paramodulation,[status(thm)],[f756,f377])).
% 16.43/2.62 fof(f26459,plain,(
% 16.43/2.62 ![X0,X1,X2]: (add(multiply(X0,X1),multiply(X2,multiply(X0,inverse(X1))))=multiply(add(X2,X1),X0))),
% 16.43/2.62 inference(forward_demodulation,[status(thm)],[f18954,f26236])).
% 16.43/2.62 fof(f26679,plain,(
% 16.43/2.62 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X2,X1),multiply(X0,X2)))),
% 16.43/2.62 inference(forward_demodulation,[status(thm)],[f26459,f26379])).
% 16.43/2.62 fof(f31159,plain,(
% 16.43/2.62 ~multiply(a,add(b,c))=add(multiply(a,c),multiply(b,a))),
% 16.43/2.62 inference(paramodulation,[status(thm)],[f18,f1156])).
% 16.43/2.62 fof(f31163,plain,(
% 16.43/2.62 ~multiply(a,add(b,c))=multiply(add(b,c),a)),
% 16.43/2.62 inference(forward_demodulation,[status(thm)],[f26679,f31159])).
% 16.43/2.62 fof(f31164,plain,(
% 16.43/2.62 $false),
% 16.43/2.62 inference(forward_subsumption_resolution,[status(thm)],[f31163,f19])).
% 16.43/2.62 % SZS output end CNFRefutation for theBenchmark.p
% 12.59/2.67 % Elapsed time: 2.296144 seconds
% 12.59/2.67 % CPU time: 17.573104 seconds
% 12.59/2.67 % Total memory used: 125.542 MB
% 12.59/2.67 % Net memory used: 122.723 MB
%------------------------------------------------------------------------------