%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG012-6 : 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 : n013.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 02:05:07 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG012-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n013.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 04:10:05 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.54 % Refutation found
% 0.17/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.54 fof(f1,axiom,(
% 0.17/0.54 (![X]: (add(additive_identity,X) = X ))),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f2,axiom,(
% 0.17/0.54 (![X]: (add(X,additive_identity) = X ))),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f3,axiom,(
% 0.17/0.54 (![X]: (multiply(additive_identity,X) = additive_identity ))),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f4,axiom,(
% 0.17/0.54 (![X]: (multiply(X,additive_identity) = additive_identity ))),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f5,axiom,(
% 0.17/0.54 (![X]: (add(additive_inverse(X),X) = additive_identity ))),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f7,axiom,(
% 0.17/0.54 (![X]: (additive_inverse(additive_inverse(X)) = X ))),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f8,axiom,(
% 0.17/0.54 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f9,axiom,(
% 0.17/0.54 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f11,axiom,(
% 0.17/0.54 (![X,Y,Z]: (add(X,add(Y,Z)) = add(add(X,Y),Z) ))),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f16,negated_conjecture,(
% 0.17/0.54 multiply(additive_inverse(a),additive_inverse(b)) != multiply(a,b) ),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f17,plain,(
% 0.17/0.54 ![X0]: (add(additive_identity,X0)=X0)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.54 fof(f18,plain,(
% 0.17/0.54 ![X0]: (add(X0,additive_identity)=X0)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.54 fof(f19,plain,(
% 0.17/0.54 ![X0]: (multiply(additive_identity,X0)=additive_identity)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.54 fof(f20,plain,(
% 0.17/0.54 ![X0]: (multiply(X0,additive_identity)=additive_identity)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.54 fof(f21,plain,(
% 0.17/0.54 ![X0]: (add(additive_inverse(X0),X0)=additive_identity)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.54 fof(f23,plain,(
% 0.17/0.54 ![X0]: (additive_inverse(additive_inverse(X0))=X0)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.54 fof(f24,plain,(
% 0.17/0.54 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f8])).
% 0.17/0.54 fof(f25,plain,(
% 0.17/0.54 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f9])).
% 0.17/0.54 fof(f27,plain,(
% 0.17/0.54 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X1),X2))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f11])).
% 0.17/0.54 fof(f32,plain,(
% 0.17/0.54 ~multiply(additive_inverse(a),additive_inverse(b))=multiply(a,b)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f16])).
% 0.17/0.54 fof(f33,definition,(
% 0.17/0.54 sF1_fnc=additive_inverse(a)),
% 0.17/0.54 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.17/0.54 fof(f34,definition,(
% 0.17/0.54 sF2_fnc=additive_inverse(b)),
% 0.17/0.54 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.17/0.54 fof(f35,definition,(
% 0.17/0.54 sF0_fnc=multiply(sF1_fnc,sF2_fnc)),
% 0.17/0.54 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.17/0.54 fof(f36,definition,(
% 0.17/0.54 sF3_fnc=multiply(a,b)),
% 0.17/0.54 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.17/0.54 fof(f37,plain,(
% 0.17/0.54 ~sF0_fnc=sF3_fnc),
% 0.17/0.54 inference(definition_folding,[],[f32,f36,f35,f34,f33])).
% 0.17/0.54 fof(f39,plain,(
% 0.17/0.54 additive_inverse(sF1_fnc)=a),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f33,f23])).
% 0.17/0.54 fof(f49,plain,(
% 0.17/0.54 add(a,sF1_fnc)=additive_identity),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f39,f21])).
% 0.17/0.54 fof(f50,plain,(
% 0.17/0.54 add(sF2_fnc,b)=additive_identity),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f34,f21])).
% 0.17/0.54 fof(f65,plain,(
% 0.17/0.54 ![X0]: (multiply(sF1_fnc,add(sF2_fnc,X0))=add(sF0_fnc,multiply(sF1_fnc,X0)))),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f35,f24])).
% 0.17/0.54 fof(f79,plain,(
% 0.17/0.54 ![X0]: (multiply(add(a,X0),b)=add(sF3_fnc,multiply(X0,b)))),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f36,f25])).
% 0.17/0.54 fof(f178,plain,(
% 0.17/0.54 ![X0,X1]: (add(additive_inverse(X0),add(X0,X1))=add(additive_identity,X1))),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f21,f27])).
% 0.17/0.54 fof(f194,plain,(
% 0.17/0.54 ![X0,X1]: (add(additive_inverse(X0),add(X0,X1))=X1)),
% 0.17/0.54 inference(forward_demodulation,[status(thm)],[f17,f178])).
% 0.17/0.54 fof(f358,plain,(
% 0.17/0.54 multiply(sF1_fnc,additive_identity)=add(sF0_fnc,multiply(sF1_fnc,b))),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f50,f65])).
% 0.17/0.54 fof(f372,plain,(
% 0.17/0.54 additive_identity=add(sF0_fnc,multiply(sF1_fnc,b))),
% 0.17/0.54 inference(forward_demodulation,[status(thm)],[f20,f358])).
% 0.17/0.54 fof(f617,plain,(
% 0.17/0.54 add(additive_inverse(sF0_fnc),additive_identity)=multiply(sF1_fnc,b)),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f372,f194])).
% 0.17/0.54 fof(f649,plain,(
% 0.17/0.54 additive_inverse(sF0_fnc)=multiply(sF1_fnc,b)),
% 0.17/0.54 inference(forward_demodulation,[status(thm)],[f18,f617])).
% 0.17/0.54 fof(f699,plain,(
% 0.17/0.54 multiply(additive_identity,b)=add(sF3_fnc,multiply(sF1_fnc,b))),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f49,f79])).
% 0.17/0.54 fof(f715,plain,(
% 0.17/0.54 additive_identity=add(sF3_fnc,multiply(sF1_fnc,b))),
% 0.17/0.54 inference(forward_demodulation,[status(thm)],[f19,f699])).
% 0.17/0.54 fof(f716,plain,(
% 0.17/0.54 additive_identity=add(sF3_fnc,additive_inverse(sF0_fnc))),
% 0.17/0.54 inference(forward_demodulation,[status(thm)],[f649,f715])).
% 0.17/0.54 fof(f730,plain,(
% 0.17/0.54 add(additive_inverse(sF3_fnc),additive_identity)=additive_inverse(sF0_fnc)),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f716,f194])).
% 0.17/0.54 fof(f732,plain,(
% 0.17/0.54 additive_inverse(sF3_fnc)=additive_inverse(sF0_fnc)),
% 0.17/0.54 inference(forward_demodulation,[status(thm)],[f18,f730])).
% 0.17/0.54 fof(f739,plain,(
% 0.17/0.54 additive_inverse(additive_inverse(sF0_fnc))=sF3_fnc),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f732,f23])).
% 0.17/0.54 fof(f740,plain,(
% 0.17/0.54 sF0_fnc=sF3_fnc),
% 0.17/0.54 inference(forward_demodulation,[status(thm)],[f23,f739])).
% 0.17/0.54 fof(f741,plain,(
% 0.17/0.54 $false),
% 0.17/0.54 inference(forward_subsumption_resolution,[status(thm)],[f740,f37])).
% 0.17/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.57 % Elapsed time: 0.116418 seconds
% 0.17/0.57 % CPU time: 0.565250 seconds
% 0.17/0.57 % Total memory used: 16.020 MB
% 0.17/0.57 % Net memory used: 15.905 MB
%------------------------------------------------------------------------------