%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO006-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:06:43 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO006-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.47 % Computer : n009.cluster.edu
% 0.22/0.47 % Model : x86_64 x86_64
% 0.22/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.47 % Memory : 8046.5625MB
% 0.22/0.47 % OS : Linux 6.8.0-71-generic
% 0.22/0.47 % CPULimit : 300
% 0.22/0.47 % WCLimit : 300
% 0.22/0.47 % DateTime : Mon Sep 21 13:47:12 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.49 % Drodi V4.1.1
% 0.22/0.50 % Refutation found
% 0.22/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.50 fof(f1,axiom,(
% 0.22/0.50 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f4,axiom,(
% 0.22/0.50 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f5,axiom,(
% 0.22/0.50 (![X]: (add(X,additive_identity) = X ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f8,axiom,(
% 0.22/0.50 (![X]: (multiply(X,inverse(X)) = additive_identity ))),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f9,negated_conjecture,(
% 0.22/0.50 multiply(a,additive_identity) != additive_identity ),
% 0.22/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.50 fof(f10,plain,(
% 0.22/0.50 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.22/0.50 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/0.50 fof(f13,plain,(
% 0.22/0.50 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.22/0.50 inference(cnf_transformation,[status(thm)],[f4])).
% 0.22/0.50 fof(f14,plain,(
% 0.22/0.50 ![X0]: (add(X0,additive_identity)=X0)),
% 0.22/0.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.22/0.50 fof(f17,plain,(
% 0.22/0.50 ![X0]: (multiply(X0,inverse(X0))=additive_identity)),
% 0.22/0.50 inference(cnf_transformation,[status(thm)],[f8])).
% 0.22/0.50 fof(f18,plain,(
% 0.22/0.50 ~multiply(a,additive_identity)=additive_identity),
% 0.22/0.50 inference(cnf_transformation,[status(thm)],[f9])).
% 0.22/0.50 fof(f35,plain,(
% 0.22/0.50 ![X0]: (X0=add(additive_identity,X0))),
% 0.22/0.50 inference(paramodulation,[status(thm)],[f14,f10])).
% 0.22/0.50 fof(f92,plain,(
% 0.22/0.50 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=add(additive_identity,multiply(X0,X1)))),
% 0.22/0.50 inference(paramodulation,[status(thm)],[f17,f13])).
% 0.22/0.50 fof(f94,plain,(
% 0.22/0.50 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=multiply(X0,X1))),
% 0.22/0.50 inference(forward_demodulation,[status(thm)],[f35,f92])).
% 0.22/0.50 fof(f97,plain,(
% 0.22/0.50 ![X0]: (multiply(X0,inverse(X0))=multiply(X0,additive_identity))),
% 0.22/0.50 inference(paramodulation,[status(thm)],[f14,f94])).
% 0.22/0.50 fof(f107,plain,(
% 0.22/0.50 ~additive_identity=additive_identity),
% 0.22/0.50 inference(backward_demodulation,[status(thm)],[f109,f18])).
% 0.22/0.50 fof(f109,plain,(
% 0.22/0.50 ![X0]: (additive_identity=multiply(X0,additive_identity))),
% 0.22/0.50 inference(forward_demodulation,[status(thm)],[f17,f97])).
% 0.22/0.50 fof(f114,plain,(
% 0.22/0.50 $false),
% 0.22/0.50 inference(trivial_equality_resolution,[status(thm)],[f107])).
% 0.22/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 2.66/1.74 % Elapsed time: 1.041734 seconds
% 2.66/1.74 % CPU time: 0.050093 seconds
% 2.66/1.74 % Total memory used: 872.848 KB
% 2.66/1.74 % Net memory used: 869.104 KB
%------------------------------------------------------------------------------