%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG017-6 : 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 : n019.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 0.12s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG017-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n019.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
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:10:49 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.47 % Refutation found
% 0.12/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.47 fof(f1,axiom,(
% 0.12/0.47 (![X]: (add(additive_identity,X) = X ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f2,axiom,(
% 0.12/0.47 (![X]: (add(X,additive_identity) = X ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f3,axiom,(
% 0.12/0.47 (![X]: (multiply(additive_identity,X) = additive_identity ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f5,axiom,(
% 0.12/0.47 (![X]: (add(additive_inverse(X),X) = additive_identity ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f7,axiom,(
% 0.12/0.47 (![X]: (additive_inverse(additive_inverse(X)) = X ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f8,axiom,(
% 0.12/0.47 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f9,axiom,(
% 0.12/0.47 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f10,axiom,(
% 0.12/0.47 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f11,axiom,(
% 0.12/0.47 (![X,Y,Z]: (add(X,add(Y,Z)) = add(add(X,Y),Z) ))),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f16,negated_conjecture,(
% 0.12/0.47 multiply(additive_inverse(x),add(y,z)) != add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z))) ),
% 0.12/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.47 fof(f17,plain,(
% 0.12/0.47 ![X0]: (add(additive_identity,X0)=X0)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.47 fof(f18,plain,(
% 0.12/0.47 ![X0]: (add(X0,additive_identity)=X0)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.47 fof(f19,plain,(
% 0.12/0.47 ![X0]: (multiply(additive_identity,X0)=additive_identity)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.47 fof(f21,plain,(
% 0.12/0.47 ![X0]: (add(additive_inverse(X0),X0)=additive_identity)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.47 fof(f23,plain,(
% 0.12/0.47 ![X0]: (additive_inverse(additive_inverse(X0))=X0)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.47 fof(f24,plain,(
% 0.12/0.47 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.47 fof(f25,plain,(
% 0.12/0.47 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.47 fof(f26,plain,(
% 0.12/0.47 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.47 fof(f27,plain,(
% 0.12/0.47 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X1),X2))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.47 fof(f32,plain,(
% 0.12/0.47 ~multiply(additive_inverse(x),add(y,z))=add(additive_inverse(multiply(x,y)),additive_inverse(multiply(x,z)))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.47 fof(f33,definition,(
% 0.12/0.47 sF1_fnc=additive_inverse(x)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.12/0.47 fof(f34,definition,(
% 0.12/0.47 sF2_fnc=add(y,z)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.12/0.47 fof(f35,definition,(
% 0.12/0.47 sF0_fnc=multiply(sF1_fnc,sF2_fnc)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.12/0.47 fof(f36,definition,(
% 0.12/0.47 sF5_fnc=multiply(x,y)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 0.12/0.47 fof(f37,definition,(
% 0.12/0.47 sF4_fnc=additive_inverse(sF5_fnc)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 0.12/0.47 fof(f38,definition,(
% 0.12/0.47 sF7_fnc=multiply(x,z)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 0.12/0.47 fof(f39,definition,(
% 0.12/0.47 sF6_fnc=additive_inverse(sF7_fnc)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 0.12/0.47 fof(f40,definition,(
% 0.12/0.47 sF3_fnc=add(sF4_fnc,sF6_fnc)),
% 0.12/0.47 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.12/0.47 fof(f41,plain,(
% 0.12/0.47 ~sF0_fnc=sF3_fnc),
% 0.12/0.47 inference(definition_folding,[],[f32,f40,f39,f38,f37,f36,f35,f34,f33])).
% 0.12/0.47 fof(f43,plain,(
% 0.12/0.48 additive_inverse(sF6_fnc)=sF7_fnc),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f39,f23])).
% 0.12/0.48 fof(f45,plain,(
% 0.12/0.48 additive_inverse(sF1_fnc)=x),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f33,f23])).
% 0.12/0.48 fof(f76,plain,(
% 0.12/0.48 add(x,sF1_fnc)=additive_identity),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f45,f21])).
% 0.12/0.48 fof(f78,plain,(
% 0.12/0.48 add(sF7_fnc,sF6_fnc)=additive_identity),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f43,f21])).
% 0.12/0.48 fof(f80,plain,(
% 0.12/0.48 add(sF6_fnc,sF7_fnc)=additive_identity),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f39,f21])).
% 0.12/0.48 fof(f81,plain,(
% 0.12/0.48 add(sF4_fnc,sF5_fnc)=additive_identity),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f37,f21])).
% 0.12/0.48 fof(f117,plain,(
% 0.12/0.48 ![X0]: (multiply(add(X0,sF1_fnc),sF2_fnc)=add(multiply(X0,sF2_fnc),sF0_fnc))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f35,f25])).
% 0.12/0.48 fof(f124,plain,(
% 0.12/0.48 ![X0]: (multiply(x,add(y,X0))=add(sF5_fnc,multiply(x,X0)))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f36,f24])).
% 0.12/0.48 fof(f142,plain,(
% 0.12/0.48 ![X0]: (add(sF7_fnc,add(sF6_fnc,X0))=add(additive_identity,X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f78,f27])).
% 0.12/0.48 fof(f161,plain,(
% 0.12/0.48 ![X0]: (add(sF7_fnc,add(sF6_fnc,X0))=X0)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f17,f142])).
% 0.12/0.48 fof(f186,plain,(
% 0.12/0.48 ![X0]: (add(sF6_fnc,add(sF7_fnc,X0))=add(additive_identity,X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f80,f27])).
% 0.12/0.48 fof(f187,plain,(
% 0.12/0.48 ![X0]: (add(sF6_fnc,add(sF7_fnc,X0))=X0)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f17,f186])).
% 0.12/0.48 fof(f188,plain,(
% 0.12/0.48 ![X0]: (add(sF4_fnc,add(sF5_fnc,X0))=add(additive_identity,X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f81,f27])).
% 0.12/0.48 fof(f189,plain,(
% 0.12/0.48 ![X0]: (add(sF4_fnc,add(sF5_fnc,X0))=X0)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f17,f188])).
% 0.12/0.48 fof(f199,plain,(
% 0.12/0.48 ![X0]: (add(sF7_fnc,add(X0,sF6_fnc))=X0)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f26,f161])).
% 0.12/0.48 fof(f342,plain,(
% 0.12/0.48 multiply(additive_identity,sF2_fnc)=add(multiply(x,sF2_fnc),sF0_fnc)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f76,f117])).
% 0.12/0.48 fof(f356,plain,(
% 0.12/0.48 additive_identity=add(multiply(x,sF2_fnc),sF0_fnc)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f19,f342])).
% 0.12/0.48 fof(f708,plain,(
% 0.12/0.48 add(sF7_fnc,sF3_fnc)=sF4_fnc),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f40,f199])).
% 0.12/0.48 fof(f720,plain,(
% 0.12/0.48 add(sF6_fnc,sF4_fnc)=sF3_fnc),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f708,f187])).
% 0.12/0.48 fof(f725,plain,(
% 0.12/0.48 multiply(x,sF2_fnc)=add(sF5_fnc,multiply(x,z))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f34,f124])).
% 0.12/0.48 fof(f744,plain,(
% 0.12/0.48 additive_identity=add(add(sF5_fnc,sF7_fnc),sF0_fnc)),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f745,f356])).
% 0.12/0.48 fof(f745,plain,(
% 0.12/0.48 multiply(x,sF2_fnc)=add(sF5_fnc,sF7_fnc)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f38,f725])).
% 0.12/0.48 fof(f761,plain,(
% 0.12/0.48 additive_identity=add(sF5_fnc,add(sF7_fnc,sF0_fnc))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f27,f744])).
% 0.12/0.48 fof(f1459,plain,(
% 0.12/0.48 add(sF4_fnc,additive_identity)=add(sF7_fnc,sF0_fnc)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f761,f189])).
% 0.12/0.48 fof(f1466,plain,(
% 0.12/0.48 sF4_fnc=add(sF7_fnc,sF0_fnc)),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f18,f1459])).
% 0.12/0.48 fof(f1477,plain,(
% 0.12/0.48 add(sF6_fnc,sF4_fnc)=sF0_fnc),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f1466,f187])).
% 0.12/0.48 fof(f1485,plain,(
% 0.12/0.48 sF0_fnc=sF3_fnc),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f1477,f720])).
% 0.12/0.48 fof(f1490,plain,(
% 0.12/0.48 $false),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1485,f41])).
% 0.12/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.50 % Elapsed time: 0.127588 seconds
% 0.12/0.50 % CPU time: 0.891913 seconds
% 0.12/0.50 % Total memory used: 27.746 MB
% 0.12/0.50 % Net memory used: 27.338 MB
%------------------------------------------------------------------------------