%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG018-6 : 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 0.15s 10.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG018-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.53 % Computer : n014.cluster.edu
% 0.10/10.53 % Model : x86_64 x86_64
% 0.10/10.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.53 % Memory : 8046.5625MB
% 0.10/10.53 % OS : Linux 6.8.0-71-generic
% 0.10/10.54 % CPULimit : 300
% 0.10/10.54 % WCLimit : 300
% 0.10/10.54 % DateTime : Mon Sep 21 04:11:15 UTC 2026
% 0.10/10.54 % CPUTime :
% 0.10/10.55 % Drodi V4.1.1
% 0.15/10.61 % Refutation found
% 0.15/10.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.61 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.61 fof(f1,axiom,(
% 0.15/10.61 (![X]: (add(additive_identity,X) = X ))),
% 0.15/10.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.61 fof(f2,axiom,(
% 0.15/10.61 (![X]: (add(X,additive_identity) = X ))),
% 0.15/10.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.61 fof(f4,axiom,(
% 0.15/10.61 (![X]: (multiply(X,additive_identity) = additive_identity ))),
% 0.15/10.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.61 fof(f5,axiom,(
% 0.15/10.61 (![X]: (add(additive_inverse(X),X) = additive_identity ))),
% 0.15/10.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.61 fof(f7,axiom,(
% 0.15/10.61 (![X]: (additive_inverse(additive_inverse(X)) = X ))),
% 0.15/10.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.61 fof(f8,axiom,(
% 0.15/10.61 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.15/10.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.61 fof(f9,axiom,(
% 0.15/10.61 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 0.15/10.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.61 fof(f10,axiom,(
% 0.15/10.61 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.15/10.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.61 fof(f11,axiom,(
% 0.15/10.61 (![X,Y,Z]: (add(X,add(Y,Z)) = add(add(X,Y),Z) ))),
% 0.15/10.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.61 fof(f16,negated_conjecture,(
% 0.15/10.61 multiply(add(x,y),additive_inverse(z)) != add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z))) ),
% 0.15/10.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.61 fof(f17,plain,(
% 0.15/10.61 ![X0]: (add(additive_identity,X0)=X0)),
% 0.15/10.61 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/10.61 fof(f18,plain,(
% 0.15/10.61 ![X0]: (add(X0,additive_identity)=X0)),
% 0.15/10.61 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/10.61 fof(f20,plain,(
% 0.15/10.61 ![X0]: (multiply(X0,additive_identity)=additive_identity)),
% 0.15/10.61 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/10.61 fof(f21,plain,(
% 0.15/10.61 ![X0]: (add(additive_inverse(X0),X0)=additive_identity)),
% 0.15/10.61 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/10.61 fof(f23,plain,(
% 0.15/10.61 ![X0]: (additive_inverse(additive_inverse(X0))=X0)),
% 0.15/10.61 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/10.61 fof(f24,plain,(
% 0.15/10.61 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.15/10.61 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/10.61 fof(f25,plain,(
% 0.15/10.61 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 0.15/10.61 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/10.61 fof(f26,plain,(
% 0.15/10.61 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.15/10.61 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/10.61 fof(f27,plain,(
% 0.15/10.61 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X1),X2))),
% 0.15/10.61 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/10.61 fof(f32,plain,(
% 0.15/10.61 ~multiply(add(x,y),additive_inverse(z))=add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z)))),
% 0.15/10.61 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/10.61 fof(f33,definition,(
% 0.15/10.61 sF1_fnc=add(x,y)),
% 0.15/10.61 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.15/10.61 fof(f34,definition,(
% 0.15/10.61 sF2_fnc=additive_inverse(z)),
% 0.15/10.61 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.15/10.61 fof(f35,definition,(
% 0.15/10.61 sF0_fnc=multiply(sF1_fnc,sF2_fnc)),
% 0.15/10.61 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.15/10.61 fof(f36,definition,(
% 0.15/10.61 sF5_fnc=multiply(x,z)),
% 0.15/10.61 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 0.15/10.61 fof(f37,definition,(
% 0.15/10.61 sF4_fnc=additive_inverse(sF5_fnc)),
% 0.15/10.61 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 0.15/10.61 fof(f38,definition,(
% 0.15/10.61 sF7_fnc=multiply(y,z)),
% 0.15/10.61 introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition])).
% 0.15/10.61 fof(f39,definition,(
% 0.15/10.61 sF6_fnc=additive_inverse(sF7_fnc)),
% 0.15/10.61 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 0.15/10.61 fof(f40,definition,(
% 0.15/10.61 sF3_fnc=add(sF4_fnc,sF6_fnc)),
% 0.15/10.61 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.15/10.61 fof(f41,plain,(
% 0.15/10.61 ~sF0_fnc=sF3_fnc),
% 0.15/10.61 inference(definition_folding,[],[f32,f40,f39,f38,f37,f36,f35,f34,f33])).
% 0.15/10.61 fof(f43,plain,(
% 0.15/10.62 additive_inverse(sF2_fnc)=z),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f34,f23])).
% 0.15/10.62 fof(f45,plain,(
% 0.15/10.62 additive_inverse(sF6_fnc)=sF7_fnc),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f39,f23])).
% 0.15/10.62 fof(f54,plain,(
% 0.15/10.62 add(sF7_fnc,sF6_fnc)=additive_identity),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f45,f21])).
% 0.15/10.62 fof(f56,plain,(
% 0.15/10.62 add(z,sF2_fnc)=additive_identity),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f43,f21])).
% 0.15/10.62 fof(f57,plain,(
% 0.15/10.62 add(sF6_fnc,sF7_fnc)=additive_identity),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f39,f21])).
% 0.15/10.62 fof(f58,plain,(
% 0.15/10.62 add(sF4_fnc,sF5_fnc)=additive_identity),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f37,f21])).
% 0.15/10.62 fof(f81,plain,(
% 0.15/10.62 ![X0]: (multiply(sF1_fnc,add(X0,sF2_fnc))=add(multiply(sF1_fnc,X0),sF0_fnc))),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f35,f24])).
% 0.15/10.62 fof(f92,plain,(
% 0.15/10.62 ![X0]: (multiply(add(x,X0),z)=add(sF5_fnc,multiply(X0,z)))),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f36,f25])).
% 0.15/10.62 fof(f194,plain,(
% 0.15/10.62 ![X0]: (add(sF6_fnc,add(sF7_fnc,X0))=add(additive_identity,X0))),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f57,f27])).
% 0.15/10.62 fof(f197,plain,(
% 0.15/10.62 ![X0]: (add(sF7_fnc,add(sF6_fnc,X0))=add(additive_identity,X0))),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f54,f27])).
% 0.15/10.62 fof(f198,plain,(
% 0.15/10.62 ![X0]: (add(sF4_fnc,add(sF5_fnc,X0))=add(additive_identity,X0))),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f58,f27])).
% 0.15/10.62 fof(f214,plain,(
% 0.15/10.62 ![X0]: (add(sF6_fnc,add(sF7_fnc,X0))=X0)),
% 0.15/10.62 inference(forward_demodulation,[status(thm)],[f17,f194])).
% 0.15/10.62 fof(f217,plain,(
% 0.15/10.62 ![X0]: (add(sF7_fnc,add(sF6_fnc,X0))=X0)),
% 0.15/10.62 inference(forward_demodulation,[status(thm)],[f17,f197])).
% 0.15/10.62 fof(f218,plain,(
% 0.15/10.62 ![X0]: (add(sF4_fnc,add(sF5_fnc,X0))=X0)),
% 0.15/10.62 inference(forward_demodulation,[status(thm)],[f17,f198])).
% 0.15/10.62 fof(f414,plain,(
% 0.15/10.62 ![X0]: (add(sF7_fnc,add(X0,sF6_fnc))=X0)),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f26,f217])).
% 0.15/10.62 fof(f546,plain,(
% 0.15/10.62 add(sF7_fnc,sF3_fnc)=sF4_fnc),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f40,f414])).
% 0.15/10.62 fof(f558,plain,(
% 0.15/10.62 add(sF6_fnc,sF4_fnc)=sF3_fnc),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f546,f214])).
% 0.15/10.62 fof(f629,plain,(
% 0.15/10.62 multiply(sF1_fnc,additive_identity)=add(multiply(sF1_fnc,z),sF0_fnc)),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f56,f81])).
% 0.15/10.62 fof(f645,plain,(
% 0.15/10.62 additive_identity=add(multiply(sF1_fnc,z),sF0_fnc)),
% 0.15/10.62 inference(forward_demodulation,[status(thm)],[f20,f629])).
% 0.15/10.62 fof(f830,plain,(
% 0.15/10.62 multiply(sF1_fnc,z)=add(sF5_fnc,multiply(y,z))),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f33,f92])).
% 0.15/10.62 fof(f846,plain,(
% 0.15/10.62 multiply(sF1_fnc,z)=add(sF5_fnc,sF7_fnc)),
% 0.15/10.62 inference(forward_demodulation,[status(thm)],[f38,f830])).
% 0.15/10.62 fof(f857,plain,(
% 0.15/10.62 additive_identity=add(add(sF5_fnc,sF7_fnc),sF0_fnc)),
% 0.15/10.62 inference(backward_demodulation,[status(thm)],[f846,f645])).
% 0.15/10.62 fof(f868,plain,(
% 0.15/10.62 additive_identity=add(sF5_fnc,add(sF7_fnc,sF0_fnc))),
% 0.15/10.62 inference(forward_demodulation,[status(thm)],[f27,f857])).
% 0.15/10.62 fof(f874,plain,(
% 0.15/10.62 add(sF4_fnc,additive_identity)=add(sF7_fnc,sF0_fnc)),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f868,f218])).
% 0.15/10.62 fof(f876,plain,(
% 0.15/10.62 sF4_fnc=add(sF7_fnc,sF0_fnc)),
% 0.15/10.62 inference(forward_demodulation,[status(thm)],[f18,f874])).
% 0.15/10.62 fof(f882,plain,(
% 0.15/10.62 add(sF6_fnc,sF4_fnc)=sF0_fnc),
% 0.15/10.62 inference(paramodulation,[status(thm)],[f876,f214])).
% 0.15/10.62 fof(f914,plain,(
% 0.15/10.62 sF0_fnc=sF3_fnc),
% 0.15/10.62 inference(backward_demodulation,[status(thm)],[f882,f558])).
% 0.15/10.62 fof(f922,plain,(
% 0.15/10.62 $false),
% 0.15/10.62 inference(forward_subsumption_resolution,[status(thm)],[f914,f41])).
% 0.15/10.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.64 % Elapsed time: 0.084360 seconds
% 0.15/10.64 % CPU time: 0.554837 seconds
% 0.15/10.64 % Total memory used: 20.167 MB
% 0.15/10.64 % Net memory used: 19.931 MB
%------------------------------------------------------------------------------