%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG008-3 : 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 : n020.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 02:05:06 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG008-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n020.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 04:11:17 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.13/0.46 % Refutation found
% 0.13/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.46 fof(f1,axiom,(
% 0.13/0.46 (![X]: (add(additive_identity,X) = X ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f3,axiom,(
% 0.13/0.46 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f4,axiom,(
% 0.13/0.46 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f6,axiom,(
% 0.13/0.46 (![X]: (additive_inverse(additive_inverse(X)) = X ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f10,axiom,(
% 0.13/0.46 (![X,Y]: (multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)) ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f11,axiom,(
% 0.13/0.46 (![X,Y]: (multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)) ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f12,axiom,(
% 0.13/0.46 (![X,Y,Z]: (add(add(X,Y),Z) = add(X,add(Y,Z)) ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f13,axiom,(
% 0.13/0.46 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f14,axiom,(
% 0.13/0.46 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f16,axiom,(
% 0.13/0.46 (![X]: (add(X,additive_inverse(X)) = additive_identity ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f17,hypothesis,(
% 0.13/0.46 (![X]: (multiply(X,X) = X ))),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f18,negated_conjecture,(
% 0.13/0.46 multiply(a,b) = c ),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f19,negated_conjecture,(
% 0.13/0.46 multiply(b,a) != c ),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f20,plain,(
% 0.13/0.46 ![X0]: (add(additive_identity,X0)=X0)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.46 fof(f22,plain,(
% 0.13/0.46 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.46 fof(f23,plain,(
% 0.13/0.46 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.46 fof(f25,plain,(
% 0.13/0.46 ![X0]: (additive_inverse(additive_inverse(X0))=X0)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.46 fof(f29,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(X0,additive_inverse(X1))=additive_inverse(multiply(X0,X1)))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.46 fof(f30,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(additive_inverse(X0),X1)=additive_inverse(multiply(X0,X1)))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.46 fof(f31,plain,(
% 0.13/0.46 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X0,add(X1,X2)))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.46 fof(f32,plain,(
% 0.13/0.46 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.46 fof(f33,plain,(
% 0.13/0.46 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.46 fof(f35,plain,(
% 0.13/0.46 ![X0]: (add(X0,additive_inverse(X0))=additive_identity)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.46 fof(f36,plain,(
% 0.13/0.46 ![X0]: (multiply(X0,X0)=X0)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.46 fof(f37,plain,(
% 0.13/0.46 multiply(a,b)=c),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.46 fof(f38,plain,(
% 0.13/0.46 ~multiply(b,a)=c),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.46 fof(f39,definition,(
% 0.13/0.46 sF0_fnc=multiply(b,a)),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.13/0.46 fof(f40,plain,(
% 0.13/0.46 ~sF0_fnc=c),
% 0.13/0.46 inference(definition_folding,[],[f38,f39])).
% 0.13/0.46 fof(f42,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(X0,X1)=multiply(X0,multiply(X1,multiply(X0,X1))))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f36,f33])).
% 0.13/0.46 fof(f415,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(additive_inverse(X0),X1)=additive_inverse(multiply(X0,multiply(X1,multiply(additive_inverse(X0),X1)))))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f42,f30])).
% 0.13/0.46 fof(f417,plain,(
% 0.13/0.46 ![X0]: (additive_inverse(X0)=additive_inverse(multiply(X0,additive_inverse(X0))))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f36,f30])).
% 0.13/0.46 fof(f429,plain,(
% 0.13/0.46 ![X0,X1]: (additive_inverse(multiply(X0,X1))=additive_inverse(multiply(X0,multiply(X1,multiply(additive_inverse(X0),X1)))))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f30,f415])).
% 0.13/0.46 fof(f430,plain,(
% 0.13/0.46 ![X0,X1]: (additive_inverse(multiply(X0,X1))=additive_inverse(multiply(X0,multiply(X1,additive_inverse(multiply(X0,X1))))))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f30,f429])).
% 0.13/0.46 fof(f431,plain,(
% 0.13/0.46 ![X0,X1]: (additive_inverse(multiply(X0,X1))=additive_inverse(multiply(X0,additive_inverse(multiply(X1,multiply(X0,X1))))))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f29,f430])).
% 0.13/0.46 fof(f432,plain,(
% 0.13/0.46 ![X0,X1]: (additive_inverse(multiply(X0,X1))=additive_inverse(additive_inverse(multiply(X0,multiply(X1,multiply(X0,X1))))))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f29,f431])).
% 0.13/0.46 fof(f433,plain,(
% 0.13/0.46 ![X0,X1]: (additive_inverse(multiply(X0,X1))=multiply(X0,multiply(X1,multiply(X0,X1))))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f25,f432])).
% 0.13/0.46 fof(f436,plain,(
% 0.13/0.46 ![X0,X1]: (additive_inverse(multiply(X0,X1))=multiply(X0,X1))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f42,f433])).
% 0.13/0.46 fof(f443,plain,(
% 0.13/0.46 ![X0]: (additive_inverse(X0)=multiply(X0,additive_inverse(X0)))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f436,f417])).
% 0.13/0.46 fof(f444,plain,(
% 0.13/0.46 ![X0]: (additive_inverse(X0)=additive_inverse(multiply(X0,X0)))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f29,f443])).
% 0.13/0.46 fof(f445,plain,(
% 0.13/0.46 ![X0]: (additive_inverse(X0)=multiply(X0,X0))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f436,f444])).
% 0.13/0.46 fof(f448,plain,(
% 0.13/0.46 ![X0]: (add(X0,X0)=additive_identity)),
% 0.13/0.46 inference(backward_demodulation,[status(thm)],[f451,f35])).
% 0.13/0.46 fof(f451,plain,(
% 0.13/0.46 ![X0]: (additive_inverse(X0)=X0)),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f36,f445])).
% 0.13/0.46 fof(f510,plain,(
% 0.13/0.46 ![X0,X1]: (add(additive_identity,X0)=add(X1,add(X1,X0)))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f448,f31])).
% 0.13/0.46 fof(f511,plain,(
% 0.13/0.46 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X1,add(X0,X2)))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f32,f31])).
% 0.13/0.46 fof(f519,plain,(
% 0.13/0.46 ![X0,X1]: (X0=add(X1,add(X1,X0)))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f20,f510])).
% 0.13/0.46 fof(f527,plain,(
% 0.13/0.46 ![X0,X1]: (X0=add(X1,add(X0,X1)))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f32,f519])).
% 0.13/0.46 fof(f552,plain,(
% 0.13/0.46 ![X0,X1,X2]: (add(X0,X1)=add(X2,add(add(X0,X2),X1)))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f527,f31])).
% 0.13/0.46 fof(f559,plain,(
% 0.13/0.46 ![X0,X1,X2]: (add(X0,X1)=add(X2,add(X0,add(X2,X1))))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f31,f552])).
% 0.13/0.46 fof(f809,plain,(
% 0.13/0.46 ![X0]: (multiply(b,add(a,X0))=add(sF0_fnc,multiply(b,X0)))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f39,f22])).
% 0.13/0.46 fof(f817,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(X0,add(X0,X1))=add(X0,multiply(X0,X1)))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f36,f22])).
% 0.13/0.46 fof(f840,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(X0,add(X1,X0))=add(multiply(X0,X1),X0))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f36,f22])).
% 0.13/0.46 fof(f885,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(X0,add(X1,X0))=add(X0,multiply(X0,X1)))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f32,f840])).
% 0.13/0.46 fof(f938,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(add(X0,X1),X1)=add(multiply(X0,X1),X1))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f36,f23])).
% 0.13/0.46 fof(f993,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(add(X0,X1),X1)=add(X1,multiply(X0,X1)))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f32,f938])).
% 0.13/0.46 fof(f1609,plain,(
% 0.13/0.46 ![X0,X1]: (multiply(X0,add(X0,X1))=add(add(X0,X1),multiply(X1,add(X0,X1))))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f527,f993])).
% 0.13/0.46 fof(f1639,plain,(
% 0.13/0.46 ![X0,X1]: (add(X0,multiply(X0,X1))=add(add(X0,X1),multiply(X1,add(X0,X1))))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f817,f1609])).
% 0.13/0.46 fof(f1640,plain,(
% 0.13/0.46 ![X0,X1]: (add(X0,multiply(X0,X1))=add(X1,add(X0,multiply(X1,add(X0,X1)))))),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f511,f1639])).
% 0.13/0.46 fof(f1641,plain,(
% 0.13/0.46 ![X0,X1]: (add(X0,multiply(X0,X1))=add(X1,add(X0,add(X1,multiply(X1,X0)))))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f885,f1640])).
% 0.13/0.48 fof(f1642,plain,(
% 0.13/0.48 ![X0,X1]: (add(X0,multiply(X0,X1))=add(X0,multiply(X1,X0)))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f559,f1641])).
% 0.13/0.48 fof(f1773,plain,(
% 0.13/0.48 add(sF0_fnc,multiply(b,b))=add(b,multiply(b,a))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f809,f885])).
% 0.13/0.48 fof(f1824,plain,(
% 0.13/0.48 add(sF0_fnc,b)=add(b,multiply(b,a))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f36,f1773])).
% 0.13/0.48 fof(f1825,plain,(
% 0.13/0.48 add(b,sF0_fnc)=add(b,multiply(b,a))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f32,f1824])).
% 0.13/0.48 fof(f1826,plain,(
% 0.13/0.48 add(b,sF0_fnc)=add(b,multiply(a,b))),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f1642,f1825])).
% 0.13/0.48 fof(f1827,plain,(
% 0.13/0.48 add(b,sF0_fnc)=add(b,c)),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f37,f1826])).
% 0.13/0.48 fof(f2292,plain,(
% 0.13/0.48 sF0_fnc=add(b,add(b,c))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f1827,f519])).
% 0.13/0.48 fof(f2344,plain,(
% 0.13/0.48 sF0_fnc=c),
% 0.13/0.48 inference(forward_demodulation,[status(thm)],[f519,f2292])).
% 0.13/0.48 fof(f2345,plain,(
% 0.13/0.48 $false),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2344,f40])).
% 0.13/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.49 % Elapsed time: 0.140880 seconds
% 0.13/0.49 % CPU time: 0.825190 seconds
% 0.13/0.49 % Total memory used: 18.814 MB
% 0.13/0.49 % Net memory used: 18.549 MB
%------------------------------------------------------------------------------