%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG013-6 : 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 : n014.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 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG013-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 04:10:34 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![X]: (add(additive_identity,X) = X ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![X]: (add(X,additive_identity) = X ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![X]: (multiply(additive_identity,X) = additive_identity ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (![X]: (add(X,additive_inverse(X)) = additive_identity ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 (![X]: (additive_inverse(additive_inverse(X)) = X ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,axiom,(
% 0.13/0.38 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,axiom,(
% 0.13/0.38 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,axiom,(
% 0.13/0.38 (![X,Y,Z]: (add(X,add(Y,Z)) = add(add(X,Y),Z) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,negated_conjecture,(
% 0.13/0.38 multiply(additive_inverse(a),b) != additive_inverse(multiply(a,b)) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0]: (add(additive_identity,X0)=X0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0]: (add(X0,additive_identity)=X0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0]: (multiply(additive_identity,X0)=additive_identity)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 ![X0]: (add(X0,additive_inverse(X0))=additive_identity)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ![X0]: (additive_inverse(additive_inverse(X0))=X0)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X1),X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 ~multiply(additive_inverse(a),b)=additive_inverse(multiply(a,b))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f33,definition,(
% 0.13/0.38 sF1_fnc=additive_inverse(a)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.13/0.38 fof(f34,definition,(
% 0.13/0.38 sF0_fnc=multiply(sF1_fnc,b)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.13/0.38 fof(f35,definition,(
% 0.13/0.38 sF3_fnc=multiply(a,b)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.13/0.38 fof(f36,definition,(
% 0.13/0.38 sF2_fnc=additive_inverse(sF3_fnc)),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 ~sF0_fnc=sF2_fnc),
% 0.13/0.38 inference(definition_folding,[],[f32,f36,f35,f34,f33])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 additive_inverse(sF2_fnc)=sF3_fnc),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f36,f23])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 additive_inverse(sF1_fnc)=a),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f33,f23])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 add(sF1_fnc,a)=additive_identity),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f41,f22])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 add(sF2_fnc,sF3_fnc)=additive_identity),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f40,f22])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 add(a,sF1_fnc)=additive_identity),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f26,f44])).
% 0.13/0.38 fof(f95,plain,(
% 0.13/0.38 ![X0]: (add(sF2_fnc,add(sF3_fnc,X0))=add(additive_identity,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f45,f27])).
% 0.13/0.38 fof(f103,plain,(
% 0.13/0.38 ![X0]: (add(sF2_fnc,add(sF3_fnc,X0))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f95])).
% 0.13/0.38 fof(f143,plain,(
% 0.13/0.38 ![X0]: (multiply(add(a,X0),b)=add(sF3_fnc,multiply(X0,b)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f35,f25])).
% 0.13/0.38 fof(f199,plain,(
% 0.13/0.38 ![X0]: (add(sF2_fnc,add(X0,sF3_fnc))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f26,f103])).
% 0.13/0.39 fof(f280,plain,(
% 0.13/0.39 multiply(additive_identity,b)=add(sF3_fnc,multiply(sF1_fnc,b))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f49,f143])).
% 0.13/0.39 fof(f296,plain,(
% 0.13/0.39 additive_identity=add(sF3_fnc,multiply(sF1_fnc,b))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f19,f280])).
% 0.13/0.39 fof(f297,plain,(
% 0.13/0.39 additive_identity=add(sF3_fnc,sF0_fnc)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f34,f296])).
% 0.13/0.39 fof(f298,plain,(
% 0.13/0.39 additive_identity=add(sF0_fnc,sF3_fnc)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f26,f297])).
% 0.13/0.39 fof(f313,plain,(
% 0.13/0.39 add(sF2_fnc,additive_identity)=sF0_fnc),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f298,f199])).
% 0.13/0.39 fof(f315,plain,(
% 0.13/0.39 sF2_fnc=sF0_fnc),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f18,f313])).
% 0.13/0.39 fof(f316,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f315,f37])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.053486 seconds
% 0.13/0.40 % CPU time: 0.264891 seconds
% 0.13/0.40 % Total memory used: 13.020 MB
% 0.13/0.40 % Net memory used: 12.949 MB
%------------------------------------------------------------------------------