%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG014-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG014-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.33 % Computer : n011.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8046.5625MB
% 0.09/0.33 % OS : Linux 6.8.0-71-generic
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Mon Sep 21 04:10:40 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (![X]: (add(additive_identity,X) = X ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,axiom,(
% 0.13/0.37 (![X]: (add(X,additive_identity) = X ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 (![X]: (multiply(X,additive_identity) = additive_identity ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,axiom,(
% 0.13/0.37 (![X]: (add(additive_inverse(X),X) = additive_identity ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,axiom,(
% 0.13/0.37 (![X]: (add(X,additive_inverse(X)) = additive_identity ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,axiom,(
% 0.13/0.37 (![X]: (additive_inverse(additive_inverse(X)) = X ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f8,axiom,(
% 0.13/0.37 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f11,axiom,(
% 0.13/0.37 (![X,Y,Z]: (add(X,add(Y,Z)) = add(add(X,Y),Z) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f16,negated_conjecture,(
% 0.13/0.37 multiply(a,additive_inverse(b)) != additive_inverse(multiply(a,b)) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f17,plain,(
% 0.13/0.37 ![X0]: (add(additive_identity,X0)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 ![X0]: (add(X0,additive_identity)=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 ![X0]: (multiply(X0,additive_identity)=additive_identity)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.37 fof(f21,plain,(
% 0.13/0.37 ![X0]: (add(additive_inverse(X0),X0)=additive_identity)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.37 fof(f22,plain,(
% 0.13/0.37 ![X0]: (add(X0,additive_inverse(X0))=additive_identity)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 ![X0]: (additive_inverse(additive_inverse(X0))=X0)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f24,plain,(
% 0.13/0.37 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.37 fof(f27,plain,(
% 0.13/0.37 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X1),X2))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.37 fof(f32,plain,(
% 0.13/0.37 ~multiply(a,additive_inverse(b))=additive_inverse(multiply(a,b))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.37 fof(f33,definition,(
% 0.13/0.37 sF1_fnc=additive_inverse(b)),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.13/0.37 fof(f34,definition,(
% 0.13/0.37 sF0_fnc=multiply(a,sF1_fnc)),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.13/0.37 fof(f35,definition,(
% 0.13/0.37 sF3_fnc=multiply(a,b)),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.13/0.37 fof(f36,definition,(
% 0.13/0.37 sF2_fnc=additive_inverse(sF3_fnc)),
% 0.13/0.37 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.13/0.37 fof(f37,plain,(
% 0.13/0.37 ~sF0_fnc=sF2_fnc),
% 0.13/0.37 inference(definition_folding,[],[f32,f36,f35,f34,f33])).
% 0.13/0.37 fof(f40,plain,(
% 0.13/0.37 additive_inverse(sF1_fnc)=b),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f33,f23])).
% 0.13/0.37 fof(f43,plain,(
% 0.13/0.37 add(b,sF1_fnc)=additive_identity),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f40,f21])).
% 0.13/0.37 fof(f65,plain,(
% 0.13/0.37 ![X0]: (multiply(a,add(b,X0))=add(sF3_fnc,multiply(a,X0)))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f35,f24])).
% 0.13/0.37 fof(f175,plain,(
% 0.13/0.37 multiply(a,additive_identity)=add(sF3_fnc,multiply(a,sF1_fnc))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f43,f65])).
% 0.13/0.37 fof(f185,plain,(
% 0.13/0.37 additive_identity=add(sF3_fnc,multiply(a,sF1_fnc))),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f20,f175])).
% 0.13/0.37 fof(f186,plain,(
% 0.13/0.37 additive_identity=add(sF3_fnc,sF0_fnc)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f34,f185])).
% 0.13/0.37 fof(f231,plain,(
% 0.13/0.37 ![X0]: (add(sF3_fnc,add(sF0_fnc,X0))=add(additive_identity,X0))),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f186,f27])).
% 0.13/0.37 fof(f251,plain,(
% 0.13/0.37 ![X0]: (add(sF3_fnc,add(sF0_fnc,X0))=X0)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f17,f231])).
% 0.13/0.37 fof(f258,plain,(
% 0.13/0.37 add(sF3_fnc,additive_identity)=additive_inverse(sF0_fnc)),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f22,f251])).
% 0.13/0.37 fof(f262,plain,(
% 0.13/0.37 sF3_fnc=additive_inverse(sF0_fnc)),
% 0.13/0.37 inference(forward_demodulation,[status(thm)],[f18,f258])).
% 0.13/0.37 fof(f266,plain,(
% 0.13/0.37 additive_inverse(sF3_fnc)=sF0_fnc),
% 0.13/0.37 inference(paramodulation,[status(thm)],[f262,f23])).
% 0.13/0.37 fof(f267,plain,(
% 0.13/0.37 sF2_fnc=sF0_fnc),
% 0.13/0.37 inference(backward_demodulation,[status(thm)],[f266,f36])).
% 0.13/0.37 fof(f268,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f267,f37])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.042971 seconds
% 0.13/0.39 % CPU time: 0.192618 seconds
% 0.13/0.39 % Total memory used: 10.443 MB
% 0.13/0.39 % Net memory used: 10.360 MB
%------------------------------------------------------------------------------