%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG008-7 : 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 02:05:07 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG008-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n014.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 04:10:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.48 fof(f1,axiom,(
% 0.14/0.48 (![X]: (add(additive_identity,X) = X ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f2,axiom,(
% 0.14/0.48 (![X]: (add(X,additive_identity) = X ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f4,axiom,(
% 0.14/0.48 (![X]: (add(X,additive_inverse(X)) = additive_identity ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f5,axiom,(
% 0.14/0.48 (![X,Y,Z]: (add(X,add(Y,Z)) = add(add(X,Y),Z) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f6,axiom,(
% 0.14/0.48 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f7,axiom,(
% 0.14/0.48 (![X,Y,Z]: (multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),Z) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f8,axiom,(
% 0.14/0.48 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f9,axiom,(
% 0.14/0.48 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f10,hypothesis,(
% 0.14/0.48 (![X]: (multiply(X,X) = X ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f11,negated_conjecture,(
% 0.14/0.48 multiply(a,b) = c ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f12,negated_conjecture,(
% 0.14/0.48 multiply(b,a) != c ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f13,plain,(
% 0.14/0.48 ![X0]: (add(additive_identity,X0)=X0)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.48 fof(f14,plain,(
% 0.14/0.48 ![X0]: (add(X0,additive_identity)=X0)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.48 fof(f16,plain,(
% 0.14/0.48 ![X0]: (add(X0,additive_inverse(X0))=additive_identity)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.48 fof(f17,plain,(
% 0.14/0.48 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X1),X2))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.48 fof(f18,plain,(
% 0.14/0.48 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.48 fof(f19,plain,(
% 0.14/0.48 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.48 fof(f20,plain,(
% 0.14/0.48 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.48 fof(f21,plain,(
% 0.14/0.48 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.48 fof(f22,plain,(
% 0.14/0.48 ![X0]: (multiply(X0,X0)=X0)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.48 fof(f23,plain,(
% 0.14/0.48 multiply(a,b)=c),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.48 fof(f24,plain,(
% 0.14/0.48 ~multiply(b,a)=c),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.48 fof(f25,definition,(
% 0.14/0.48 sF0_fnc=multiply(b,a)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.14/0.48 fof(f26,plain,(
% 0.14/0.48 ~sF0_fnc=c),
% 0.14/0.48 inference(definition_folding,[],[f24,f25])).
% 0.14/0.48 fof(f32,plain,(
% 0.14/0.48 ![X0,X1]: (multiply(X0,multiply(X0,X1))=multiply(X0,X1))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f22,f19])).
% 0.14/0.48 fof(f63,plain,(
% 0.14/0.48 multiply(b,sF0_fnc)=multiply(b,a)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f25,f32])).
% 0.14/0.48 fof(f65,plain,(
% 0.14/0.48 multiply(a,c)=multiply(a,b)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f23,f32])).
% 0.14/0.48 fof(f83,plain,(
% 0.14/0.48 multiply(b,sF0_fnc)=sF0_fnc),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f25,f63])).
% 0.14/0.48 fof(f85,plain,(
% 0.14/0.48 multiply(a,c)=c),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f23,f65])).
% 0.14/0.48 fof(f167,plain,(
% 0.14/0.48 ![X0,X1]: (multiply(X0,add(X0,X1))=add(X0,multiply(X0,X1)))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f22,f20])).
% 0.14/0.48 fof(f177,plain,(
% 0.14/0.48 ![X0]: (multiply(b,add(X0,sF0_fnc))=add(multiply(b,X0),sF0_fnc))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f83,f20])).
% 0.14/0.48 fof(f180,plain,(
% 0.14/0.48 ![X0]: (multiply(b,add(X0,a))=add(multiply(b,X0),sF0_fnc))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f25,f20])).
% 0.14/0.48 fof(f181,plain,(
% 0.14/0.48 ![X0]: (multiply(a,add(X0,c))=add(multiply(a,X0),c))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f85,f20])).
% 0.14/0.48 fof(f183,plain,(
% 0.14/0.48 ![X0]: (multiply(a,add(X0,b))=add(multiply(a,X0),c))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f23,f20])).
% 0.14/0.48 fof(f224,plain,(
% 0.14/0.48 ![X0]: (multiply(b,add(X0,sF0_fnc))=add(sF0_fnc,multiply(b,X0)))),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f18,f177])).
% 0.14/0.48 fof(f227,plain,(
% 0.14/0.48 ![X0]: (multiply(b,add(X0,sF0_fnc))=multiply(b,add(X0,a)))),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f228,f224])).
% 0.14/0.48 fof(f228,plain,(
% 0.14/0.48 ![X0]: (multiply(b,add(X0,a))=add(sF0_fnc,multiply(b,X0)))),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f18,f180])).
% 0.14/0.48 fof(f229,plain,(
% 0.14/0.48 ![X0]: (multiply(a,add(X0,c))=add(c,multiply(a,X0)))),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f18,f181])).
% 0.14/0.48 fof(f231,plain,(
% 0.14/0.48 ![X0]: (multiply(a,add(X0,c))=multiply(a,add(X0,b)))),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f232,f229])).
% 0.14/0.48 fof(f232,plain,(
% 0.14/0.48 ![X0]: (multiply(a,add(X0,b))=add(c,multiply(a,X0)))),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f18,f183])).
% 0.14/0.48 fof(f258,plain,(
% 0.14/0.48 ![X0,X1]: (multiply(add(X0,X1),X0)=add(X0,multiply(X1,X0)))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f22,f21])).
% 0.14/0.48 fof(f387,plain,(
% 0.14/0.48 ![X0,X1]: (add(X0,add(X1,additive_inverse(add(X0,X1))))=additive_identity)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f16,f17])).
% 0.14/0.48 fof(f395,plain,(
% 0.14/0.48 ![X0,X1]: (add(X0,add(additive_inverse(X0),X1))=add(additive_identity,X1))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f16,f17])).
% 0.14/0.48 fof(f405,plain,(
% 0.14/0.48 ![X0,X1]: (add(X0,add(additive_inverse(X0),X1))=X1)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f13,f395])).
% 0.14/0.48 fof(f409,plain,(
% 0.14/0.48 ![X0]: (add(X0,additive_identity)=additive_inverse(additive_inverse(X0)))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f16,f405])).
% 0.14/0.48 fof(f411,plain,(
% 0.14/0.48 ![X0,X1]: (add(X0,add(X1,additive_inverse(X0)))=X1)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f18,f405])).
% 0.14/0.48 fof(f419,plain,(
% 0.14/0.48 ![X0]: (X0=additive_inverse(additive_inverse(X0)))),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f14,f409])).
% 0.14/0.48 fof(f429,plain,(
% 0.14/0.48 ![X0,X1,X2]: (add(X0,add(X1,add(X2,additive_inverse(add(X0,X1)))))=X2)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f17,f411])).
% 0.14/0.48 fof(f462,plain,(
% 0.14/0.48 multiply(b,add(b,sF0_fnc))=add(b,sF0_fnc)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f83,f167])).
% 0.14/0.48 fof(f466,plain,(
% 0.14/0.48 multiply(a,add(a,c))=add(a,c)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f85,f167])).
% 0.14/0.48 fof(f471,plain,(
% 0.14/0.48 ![X0]: (multiply(X0,add(X0,X0))=add(X0,X0))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f22,f167])).
% 0.14/0.48 fof(f508,plain,(
% 0.14/0.48 multiply(b,add(b,a))=add(b,sF0_fnc)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f227,f462])).
% 0.14/0.48 fof(f509,plain,(
% 0.14/0.48 multiply(b,add(a,b))=add(b,sF0_fnc)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f18,f508])).
% 0.14/0.48 fof(f512,plain,(
% 0.14/0.48 multiply(a,add(a,b))=add(a,c)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f231,f466])).
% 0.14/0.48 fof(f537,plain,(
% 0.14/0.48 ![X0,X1]: (multiply(add(X0,X1),add(X0,X0))=add(add(X0,X0),multiply(X1,add(X0,X0))))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f471,f21])).
% 0.14/0.48 fof(f567,plain,(
% 0.14/0.48 ![X0,X1]: (multiply(add(X0,X1),add(X0,X0))=add(X0,add(X0,multiply(X1,add(X0,X0)))))),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f17,f537])).
% 0.14/0.48 fof(f659,plain,(
% 0.14/0.48 ![X0,X1]: (add(X0,additive_identity)=add(X1,additive_inverse(add(additive_inverse(X0),X1))))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f387,f405])).
% 0.14/0.48 fof(f679,plain,(
% 0.14/0.48 ![X0,X1]: (X0=add(X1,additive_inverse(add(additive_inverse(X0),X1))))),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f14,f659])).
% 0.14/0.48 fof(f695,plain,(
% 0.14/0.48 ![X0,X1]: (X0=add(X1,additive_inverse(add(X1,additive_inverse(X0)))))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f18,f679])).
% 0.14/0.48 fof(f697,plain,(
% 0.14/0.48 ![X0,X1]: (additive_inverse(X0)=add(X1,additive_inverse(add(X0,X1))))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f419,f679])).
% 0.14/0.48 fof(f738,plain,(
% 0.14/0.48 ![X0,X1]: (additive_inverse(X0)=add(X1,additive_inverse(add(X1,X0))))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f419,f695])).
% 0.14/0.48 fof(f1303,plain,(
% 0.14/0.48 ![X0,X1,X2]: (multiply(add(add(X0,X1),X2),add(X0,X1))=add(X0,add(X1,multiply(X2,add(X0,X1)))))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f17,f258])).
% 0.14/0.49 fof(f1320,plain,(
% 0.14/0.49 multiply(add(add(a,b),b),add(a,b))=add(add(a,b),add(b,sF0_fnc))),
% 0.14/0.49 inference(paramodulation,[status(thm)],[f509,f258])).
% 0.14/0.49 fof(f1331,plain,(
% 0.14/0.49 ![X0]: (multiply(add(add(X0,X0),X0),add(X0,X0))=add(add(X0,X0),add(X0,X0)))),
% 0.14/0.49 inference(paramodulation,[status(thm)],[f471,f258])).
% 0.14/0.49 fof(f1357,plain,(
% 0.14/0.49 ![X0,X1]: (multiply(add(X0,X1),add(X0,X0))=multiply(add(X0,add(X0,X1)),add(X0,X0)))),
% 0.14/0.49 inference(backward_demodulation,[status(thm)],[f1359,f567])).
% 0.14/0.49 fof(f1359,plain,(
% 0.14/0.49 ![X0,X1,X2]: (multiply(add(X0,add(X1,X2)),add(X0,X1))=add(X0,add(X1,multiply(X2,add(X0,X1)))))),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f17,f1303])).
% 0.14/0.49 fof(f1396,plain,(
% 0.14/0.49 multiply(add(a,add(b,b)),add(a,b))=add(add(a,b),add(b,sF0_fnc))),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f17,f1320])).
% 0.14/0.49 fof(f1397,plain,(
% 0.14/0.49 multiply(add(a,add(b,b)),add(a,b))=add(a,add(b,add(b,sF0_fnc)))),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f17,f1396])).
% 0.14/0.49 fof(f1428,plain,(
% 0.14/0.49 ![X0]: (multiply(add(X0,add(X0,X0)),add(X0,X0))=add(add(X0,X0),add(X0,X0)))),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f17,f1331])).
% 0.14/0.49 fof(f1429,plain,(
% 0.14/0.49 ![X0]: (multiply(add(X0,add(X0,X0)),add(X0,X0))=add(X0,add(X0,add(X0,X0))))),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f17,f1428])).
% 0.14/0.49 fof(f1464,plain,(
% 0.14/0.49 ![X0]: (multiply(add(X0,X0),add(X0,X0))=add(X0,add(X0,add(X0,X0))))),
% 0.14/0.49 inference(backward_demodulation,[status(thm)],[f1357,f1429])).
% 0.14/0.49 fof(f1467,plain,(
% 0.14/0.49 ![X0]: (add(X0,X0)=add(X0,add(X0,add(X0,X0))))),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f22,f1464])).
% 0.14/0.49 fof(f1481,plain,(
% 0.14/0.49 ![X0]: (additive_inverse(X0)=add(add(X0,add(X0,X0)),additive_inverse(add(X0,X0))))),
% 0.14/0.49 inference(paramodulation,[status(thm)],[f1467,f697])).
% 0.14/0.49 fof(f1512,plain,(
% 0.14/0.49 ![X0]: (additive_inverse(X0)=add(X0,add(add(X0,X0),additive_inverse(add(X0,X0)))))),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f17,f1481])).
% 0.14/0.49 fof(f1513,plain,(
% 0.14/0.49 ![X0]: (additive_inverse(X0)=add(X0,add(X0,add(X0,additive_inverse(add(X0,X0))))))),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f17,f1512])).
% 0.14/0.49 fof(f1514,plain,(
% 0.14/0.49 ![X0,X1]: (additive_inverse(X0)=add(X1,add(X1,X0)))),
% 0.14/0.49 inference(backward_demodulation,[status(thm)],[f1545,f738])).
% 0.14/0.49 fof(f1520,plain,(
% 0.14/0.49 ![X0]: (add(X0,X0)=additive_identity)),
% 0.14/0.49 inference(backward_demodulation,[status(thm)],[f1545,f16])).
% 0.14/0.49 fof(f1545,plain,(
% 0.14/0.49 ![X0]: (additive_inverse(X0)=X0)),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f429,f1513])).
% 0.14/0.49 fof(f1555,plain,(
% 0.14/0.49 multiply(add(a,add(b,b)),add(a,b))=add(a,sF0_fnc)),
% 0.14/0.49 inference(backward_demodulation,[status(thm)],[f1574,f1397])).
% 0.14/0.49 fof(f1574,plain,(
% 0.14/0.49 ![X0,X1]: (X0=add(X1,add(X1,X0)))),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f1545,f1514])).
% 0.14/0.49 fof(f1665,plain,(
% 0.14/0.49 multiply(add(a,additive_identity),add(a,b))=add(a,sF0_fnc)),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f1520,f1555])).
% 0.14/0.49 fof(f1666,plain,(
% 0.14/0.49 multiply(a,add(a,b))=add(a,sF0_fnc)),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f14,f1665])).
% 0.14/0.49 fof(f1670,plain,(
% 0.14/0.49 add(a,c)=add(a,sF0_fnc)),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f512,f1666])).
% 0.14/0.49 fof(f1981,plain,(
% 0.14/0.49 sF0_fnc=add(a,add(a,c))),
% 0.14/0.49 inference(paramodulation,[status(thm)],[f1670,f1574])).
% 0.14/0.49 fof(f1984,plain,(
% 0.14/0.49 sF0_fnc=c),
% 0.14/0.49 inference(forward_demodulation,[status(thm)],[f1574,f1981])).
% 0.14/0.49 fof(f1985,plain,(
% 0.14/0.49 $false),
% 0.14/0.49 inference(forward_subsumption_resolution,[status(thm)],[f1984,f26])).
% 0.14/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.49 % Elapsed time: 0.135310 seconds
% 0.14/0.49 % CPU time: 0.965091 seconds
% 0.14/0.49 % Total memory used: 29.320 MB
% 0.14/0.49 % Net memory used: 28.652 MB
%------------------------------------------------------------------------------