%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG016-6 : TPTP v9.3.1. Released v1.0.0.
% 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 02:05:08 PM UTC 2026
% Result : Unsatisfiable 4.12s 1.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG016-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:10:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 4.12/1.00 % Refutation found
% 4.12/1.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.12/1.00 % SZS output start CNFRefutation for theBenchmark
% 4.12/1.00 fof(f1,axiom,(
% 4.12/1.00 (![X]: (add(additive_identity,X) = X ))),
% 4.12/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.12/1.00 fof(f5,axiom,(
% 4.12/1.00 (![X]: (add(additive_inverse(X),X) = additive_identity ))),
% 4.12/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.12/1.00 fof(f6,axiom,(
% 4.12/1.00 (![X]: (add(X,additive_inverse(X)) = additive_identity ))),
% 4.12/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.12/1.00 fof(f9,axiom,(
% 4.12/1.00 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 4.12/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.12/1.00 fof(f10,axiom,(
% 4.12/1.00 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 4.12/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.12/1.00 fof(f11,axiom,(
% 4.12/1.00 (![X,Y,Z]: (add(X,add(Y,Z)) = add(add(X,Y),Z) ))),
% 4.12/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.12/1.00 fof(f16,negated_conjecture,(
% 4.12/1.00 multiply(add(x,additive_inverse(y)),z) != add(multiply(x,z),additive_inverse(multiply(y,z))) ),
% 4.12/1.00 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 4.12/1.00 fof(f17,plain,(
% 4.12/1.00 ![X0]: (add(additive_identity,X0)=X0)),
% 4.12/1.00 inference(cnf_transformation,[status(thm)],[f1])).
% 4.12/1.00 fof(f21,plain,(
% 4.12/1.00 ![X0]: (add(additive_inverse(X0),X0)=additive_identity)),
% 4.12/1.00 inference(cnf_transformation,[status(thm)],[f5])).
% 4.12/1.00 fof(f22,plain,(
% 4.12/1.00 ![X0]: (add(X0,additive_inverse(X0))=additive_identity)),
% 4.12/1.00 inference(cnf_transformation,[status(thm)],[f6])).
% 4.12/1.00 fof(f25,plain,(
% 4.12/1.00 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 4.12/1.00 inference(cnf_transformation,[status(thm)],[f9])).
% 4.12/1.00 fof(f26,plain,(
% 4.12/1.00 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 4.12/1.00 inference(cnf_transformation,[status(thm)],[f10])).
% 4.12/1.00 fof(f27,plain,(
% 4.12/1.00 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X1),X2))),
% 4.12/1.00 inference(cnf_transformation,[status(thm)],[f11])).
% 4.12/1.00 fof(f32,plain,(
% 4.12/1.00 ~multiply(add(x,additive_inverse(y)),z)=add(multiply(x,z),additive_inverse(multiply(y,z)))),
% 4.12/1.00 inference(cnf_transformation,[status(thm)],[f16])).
% 4.12/1.00 fof(f91,plain,(
% 4.12/1.00 ![X0,X1]: (add(additive_inverse(X0),add(X0,X1))=add(additive_identity,X1))),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f21,f27])).
% 4.12/1.00 fof(f93,plain,(
% 4.12/1.00 ![X0,X1]: (add(X0,add(additive_inverse(X0),X1))=add(additive_identity,X1))),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f22,f27])).
% 4.12/1.00 fof(f103,plain,(
% 4.12/1.00 ![X0,X1]: (add(additive_inverse(X0),add(X0,X1))=X1)),
% 4.12/1.00 inference(forward_demodulation,[status(thm)],[f17,f91])).
% 4.12/1.00 fof(f104,plain,(
% 4.12/1.00 ![X0,X1]: (add(X0,add(additive_inverse(X0),X1))=X1)),
% 4.12/1.00 inference(forward_demodulation,[status(thm)],[f17,f93])).
% 4.12/1.00 fof(f106,plain,(
% 4.12/1.00 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X1,X2),multiply(X0,X2)))),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f26,f25])).
% 4.12/1.00 fof(f125,plain,(
% 4.12/1.00 ![X0,X1,X2]: (add(additive_inverse(multiply(X0,X1)),multiply(add(X0,X2),X1))=multiply(X2,X1))),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f25,f103])).
% 4.12/1.00 fof(f132,plain,(
% 4.12/1.00 ![X0,X1]: (add(additive_inverse(X0),add(X1,X0))=X1)),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f26,f103])).
% 4.12/1.00 fof(f160,plain,(
% 4.12/1.00 ![X0,X1]: (add(X0,add(X1,additive_inverse(X0)))=X1)),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f26,f104])).
% 4.12/1.00 fof(f205,plain,(
% 4.12/1.00 ![X0,X1]: (add(additive_inverse(add(X0,X1)),X0)=additive_inverse(X1))),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f132,f132])).
% 4.12/1.00 fof(f764,plain,(
% 4.12/1.00 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=multiply(add(X1,X0),X2))),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f25,f106])).
% 4.12/1.00 fof(f939,plain,(
% 4.12/1.00 ![X0,X1]: (add(X0,additive_inverse(add(X0,X1)))=additive_inverse(X1))),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f26,f205])).
% 4.12/1.00 fof(f956,plain,(
% 4.12/1.00 ![X0,X1]: (add(additive_inverse(X0),X1)=additive_inverse(add(additive_inverse(X1),X0)))),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f104,f205])).
% 4.12/1.00 fof(f5922,plain,(
% 4.12/1.00 ![X0,X1,X2]: (add(additive_inverse(multiply(X0,X1)),multiply(X2,X1))=multiply(add(X2,additive_inverse(X0)),X1))),
% 4.12/1.00 inference(paramodulation,[status(thm)],[f160,f125])).
% 4.12/1.00 fof(f5937,plain,(
% 4.12/1.00 ![X0,X1,X2]: (add(additive_inverse(multiply(add(X0,X1),X2)),multiply(X0,X2))=additive_inverse(multiply(X1,X2)))),
% 4.74/1.01 inference(paramodulation,[status(thm)],[f125,f956])).
% 4.74/1.01 fof(f6053,plain,(
% 4.74/1.01 ![X0,X1,X2]: (multiply(add(X0,additive_inverse(add(X0,X1))),X2)=additive_inverse(multiply(X1,X2)))),
% 4.74/1.01 inference(forward_demodulation,[status(thm)],[f5922,f5937])).
% 4.74/1.01 fof(f6055,plain,(
% 4.74/1.01 ~multiply(add(x,additive_inverse(y)),z)=add(multiply(x,z),multiply(additive_inverse(y),z))),
% 4.74/1.01 inference(backward_demodulation,[status(thm)],[f6515,f32])).
% 4.74/1.01 fof(f6515,plain,(
% 4.74/1.01 ![X0,X1]: (multiply(additive_inverse(X0),X1)=additive_inverse(multiply(X0,X1)))),
% 4.74/1.01 inference(forward_demodulation,[status(thm)],[f939,f6053])).
% 4.74/1.01 fof(f6583,plain,(
% 4.74/1.01 ~multiply(add(x,additive_inverse(y)),z)=multiply(add(additive_inverse(y),x),z)),
% 4.74/1.01 inference(forward_demodulation,[status(thm)],[f106,f6055])).
% 4.74/1.01 fof(f6584,plain,(
% 4.74/1.01 $false),
% 4.74/1.01 inference(forward_subsumption_resolution,[status(thm)],[f6583,f764])).
% 4.74/1.01 % SZS output end CNFRefutation for theBenchmark.p
% 11.45/2.23 % Elapsed time: 1.648460 seconds
% 11.45/2.23 % CPU time: 2.375049 seconds
% 11.45/2.23 % Total memory used: 35.714 MB
% 11.45/2.23 % Net memory used: 35.196 MB
%------------------------------------------------------------------------------