%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO008-2 : 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 : n001.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 12:06:43 PM UTC 2026
% Result : Unsatisfiable 12.07s 1.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n001.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 13:52:16 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 12.07/1.93 % Refutation found
% 12.07/1.93 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.07/1.93 % SZS output start CNFRefutation for theBenchmark
% 12.07/1.93 fof(f1,axiom,(
% 12.07/1.93 (![X,Y]: (add(X,Y) = add(Y,X) ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f2,axiom,(
% 12.07/1.93 (![X,Y]: (multiply(X,Y) = multiply(Y,X) ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f3,axiom,(
% 12.07/1.93 (![X,Y,Z]: (add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f4,axiom,(
% 12.07/1.93 (![X,Y,Z]: (add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f5,axiom,(
% 12.07/1.93 (![X,Y,Z]: (multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f6,axiom,(
% 12.07/1.93 (![X,Y,Z]: (multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f7,axiom,(
% 12.07/1.93 (![X]: (add(X,inverse(X)) = multiplicative_identity ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f9,axiom,(
% 12.07/1.93 (![X]: (multiply(X,inverse(X)) = additive_identity ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f11,axiom,(
% 12.07/1.93 (![X]: (multiply(X,multiplicative_identity) = X ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f12,axiom,(
% 12.07/1.93 (![X]: (multiply(multiplicative_identity,X) = X ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f13,axiom,(
% 12.07/1.93 (![X]: (add(X,additive_identity) = X ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f14,axiom,(
% 12.07/1.93 (![X]: (add(additive_identity,X) = X ))),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f15,negated_conjecture,(
% 12.07/1.93 add(a,add(b,c)) != add(add(a,b),c) ),
% 12.07/1.93 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.07/1.93 fof(f16,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f1])).
% 12.07/1.93 fof(f17,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f2])).
% 12.07/1.93 fof(f18,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=multiply(add(X0,X2),add(X1,X2)))),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f3])).
% 12.07/1.93 fof(f19,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X0,X2)))),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f4])).
% 12.07/1.93 fof(f20,plain,(
% 12.07/1.93 ![X0,X1,X2]: (multiply(add(X0,X1),X2)=add(multiply(X0,X2),multiply(X1,X2)))),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f5])).
% 12.07/1.93 fof(f21,plain,(
% 12.07/1.93 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X1),multiply(X0,X2)))),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f6])).
% 12.07/1.93 fof(f22,plain,(
% 12.07/1.93 ![X0]: (add(X0,inverse(X0))=multiplicative_identity)),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f7])).
% 12.07/1.93 fof(f24,plain,(
% 12.07/1.93 ![X0]: (multiply(X0,inverse(X0))=additive_identity)),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f9])).
% 12.07/1.93 fof(f26,plain,(
% 12.07/1.93 ![X0]: (multiply(X0,multiplicative_identity)=X0)),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f11])).
% 12.07/1.93 fof(f27,plain,(
% 12.07/1.93 ![X0]: (multiply(multiplicative_identity,X0)=X0)),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f12])).
% 12.07/1.93 fof(f28,plain,(
% 12.07/1.93 ![X0]: (add(X0,additive_identity)=X0)),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f13])).
% 12.07/1.93 fof(f29,plain,(
% 12.07/1.93 ![X0]: (add(additive_identity,X0)=X0)),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f14])).
% 12.07/1.93 fof(f30,plain,(
% 12.07/1.93 ~add(a,add(b,c))=add(add(a,b),c)),
% 12.07/1.93 inference(cnf_transformation,[status(thm)],[f15])).
% 12.07/1.93 fof(f38,plain,(
% 12.07/1.93 ~add(a,add(b,c))=add(c,add(a,b))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f30])).
% 12.07/1.93 fof(f76,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=multiply(add(X2,X0),add(X1,X2)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f16,f18])).
% 12.07/1.93 fof(f79,plain,(
% 12.07/1.93 ![X0,X1]: (add(multiply(X0,X1),inverse(X1))=multiply(add(X0,inverse(X1)),multiplicative_identity))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f22,f18])).
% 12.07/1.93 fof(f81,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(multiply(X0,X1),X2)=multiply(add(X0,X2),add(X2,X1)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f16,f18])).
% 12.07/1.93 fof(f89,plain,(
% 12.07/1.93 ![X0,X1]: (add(inverse(X0),multiply(X1,X0))=multiply(add(X1,inverse(X0)),multiplicative_identity))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f79])).
% 12.07/1.93 fof(f90,plain,(
% 12.07/1.93 ![X0,X1]: (add(inverse(X0),multiply(X1,X0))=add(X1,inverse(X0)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f26,f89])).
% 12.07/1.93 fof(f116,plain,(
% 12.07/1.93 ![X0]: (add(inverse(inverse(X0)),additive_identity)=add(X0,inverse(inverse(X0))))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f24,f90])).
% 12.07/1.93 fof(f125,plain,(
% 12.07/1.93 ![X0]: (inverse(inverse(X0))=add(X0,inverse(inverse(X0))))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f28,f116])).
% 12.07/1.93 fof(f148,plain,(
% 12.07/1.93 ![X0,X1]: (add(multiply(inverse(inverse(X0)),X1),X0)=multiply(inverse(inverse(X0)),add(X1,X0)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f125,f76])).
% 12.07/1.93 fof(f149,plain,(
% 12.07/1.93 ![X0,X1]: (add(multiply(inverse(X0),X1),X0)=multiply(multiplicative_identity,add(X1,X0)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f22,f76])).
% 12.07/1.93 fof(f174,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,multiply(inverse(inverse(X0)),X1))=multiply(inverse(inverse(X0)),add(X1,X0)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f148])).
% 12.07/1.93 fof(f175,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=multiply(multiplicative_identity,add(X1,X0)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f149])).
% 12.07/1.93 fof(f176,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,multiply(inverse(X0),X1))=add(X1,X0))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f27,f175])).
% 12.07/1.93 fof(f190,plain,(
% 12.07/1.93 ![X0]: (add(X0,additive_identity)=add(inverse(inverse(X0)),X0))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f24,f176])).
% 12.07/1.93 fof(f191,plain,(
% 12.07/1.93 ![X0]: (add(X0,inverse(X0))=add(multiplicative_identity,X0))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f26,f176])).
% 12.07/1.93 fof(f204,plain,(
% 12.07/1.93 ![X0]: (X0=add(inverse(inverse(X0)),X0))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f28,f190])).
% 12.07/1.93 fof(f205,plain,(
% 12.07/1.93 ![X0]: (inverse(inverse(X0))=X0)),
% 12.07/1.93 inference(backward_demodulation,[status(thm)],[f206,f125])).
% 12.07/1.93 fof(f206,plain,(
% 12.07/1.93 ![X0]: (X0=add(X0,inverse(inverse(X0))))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f204])).
% 12.07/1.93 fof(f209,plain,(
% 12.07/1.93 ![X0]: (multiplicative_identity=add(multiplicative_identity,X0))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f22,f191])).
% 12.07/1.93 fof(f218,plain,(
% 12.07/1.93 ![X0]: (X0=add(X0,X0))),
% 12.07/1.93 inference(backward_demodulation,[status(thm)],[f205,f206])).
% 12.07/1.93 fof(f219,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,multiply(inverse(inverse(X0)),X1))=multiply(X0,add(X1,X0)))),
% 12.07/1.93 inference(backward_demodulation,[status(thm)],[f205,f174])).
% 12.07/1.93 fof(f223,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,multiply(X0,X1))=multiply(X0,add(X1,X0)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f205,f219])).
% 12.07/1.93 fof(f244,plain,(
% 12.07/1.93 ![X0,X1]: (add(multiply(X0,X1),X1)=multiply(add(X0,X1),X1))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f218,f18])).
% 12.07/1.93 fof(f249,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,multiply(X1,X0))=multiply(add(X1,X0),X0))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f244])).
% 12.07/1.93 fof(f250,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,multiply(X1,X0))=multiply(X0,add(X1,X0)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f17,f249])).
% 12.07/1.93 fof(f286,plain,(
% 12.07/1.93 ![X0,X1]: (add(multiply(X0,X1),X0)=multiply(X0,add(X0,X1)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f218,f81])).
% 12.07/1.93 fof(f311,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,multiply(X0,X1))=multiply(X0,add(X0,X1)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f286])).
% 12.07/1.93 fof(f600,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,multiply(X1,X0))=add(X0,multiply(X0,X1)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f223,f250])).
% 12.07/1.93 fof(f857,plain,(
% 12.07/1.93 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=add(multiply(X0,X2),multiply(X0,X1)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f16,f21])).
% 12.07/1.93 fof(f868,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=add(additive_identity,multiply(X0,X1)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f24,f21])).
% 12.07/1.93 fof(f869,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(X0,add(multiplicative_identity,X1))=add(X0,multiply(X0,X1)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f26,f21])).
% 12.07/1.93 fof(f904,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(X0,add(inverse(X0),X1))=multiply(X0,X1))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f29,f868])).
% 12.07/1.93 fof(f905,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(X0,multiplicative_identity)=add(X0,multiply(X0,X1)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f209,f869])).
% 12.07/1.93 fof(f907,plain,(
% 12.07/1.93 ![X0,X1]: (X0=multiply(X0,add(X0,X1)))),
% 12.07/1.93 inference(backward_demodulation,[status(thm)],[f924,f311])).
% 12.07/1.93 fof(f909,plain,(
% 12.07/1.93 ![X0,X1]: (X0=multiply(X0,add(X1,X0)))),
% 12.07/1.93 inference(backward_demodulation,[status(thm)],[f924,f223])).
% 12.07/1.93 fof(f915,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,multiply(X1,X0))=X0)),
% 12.07/1.93 inference(backward_demodulation,[status(thm)],[f924,f600])).
% 12.07/1.93 fof(f924,plain,(
% 12.07/1.93 ![X0,X1]: (X0=add(X0,multiply(X0,X1)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f26,f905])).
% 12.07/1.93 fof(f1162,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(X0,X1)=multiply(multiply(X0,X1),X0))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f924,f909])).
% 12.07/1.93 fof(f1172,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(X0,X1)=multiply(X0,multiply(X0,X1)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f17,f1162])).
% 12.07/1.93 fof(f1250,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),add(multiply(X2,X0),X1))=add(X0,X1))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f76,f915])).
% 12.07/1.93 fof(f1253,plain,(
% 12.07/1.93 ![X0,X1]: (add(add(X0,X1),X0)=add(X0,X1))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f907,f915])).
% 12.07/1.93 fof(f1254,plain,(
% 12.07/1.93 ![X0,X1]: (add(add(X0,X1),X1)=add(X0,X1))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f909,f915])).
% 12.07/1.93 fof(f1268,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(X0,X1)=multiply(multiply(X0,X1),X1))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f915,f909])).
% 12.07/1.93 fof(f1278,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,add(X0,X1))=add(X0,X1))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f1253])).
% 12.07/1.93 fof(f1279,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,add(X1,X0))=add(X1,X0))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f1254])).
% 12.07/1.93 fof(f1287,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(X0,X1)=multiply(X1,multiply(X0,X1)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f17,f1268])).
% 12.07/1.93 fof(f1315,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(X0,X1)=multiply(X0,multiply(X1,X0)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f17,f1172])).
% 12.07/1.93 fof(f1537,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X1,X0),add(X0,X2)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f16,f19])).
% 12.07/1.93 fof(f1554,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X1),add(X2,X0)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f16,f19])).
% 12.07/1.93 fof(f1562,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),add(X0,multiply(X2,X1)))=add(X0,X1))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f19,f915])).
% 12.07/1.93 fof(f1637,plain,(
% 12.07/1.93 ![X0,X1,X2]: (multiply(add(X0,X1),add(X0,X2))=add(X0,multiply(X1,add(X0,X2))))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f907,f20])).
% 12.07/1.93 fof(f1691,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=add(X0,multiply(X1,add(X0,X2))))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f19,f1637])).
% 12.07/1.93 fof(f1909,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,add(X1,X0))=add(X0,X1))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f16,f1278])).
% 12.07/1.93 fof(f1988,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,add(X0,X1))=add(X1,X0))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f16,f1279])).
% 12.07/1.93 fof(f2004,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(multiply(X0,X1),add(X2,X0))=multiply(add(X2,X0),add(add(X2,X0),X1)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f1279,f81])).
% 12.07/1.93 fof(f2041,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(multiply(X0,X1),add(X2,X0))=add(X2,X0))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f907,f2004])).
% 12.07/1.93 fof(f2091,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(multiply(X0,X1),add(X2,X0))=multiply(add(X0,X2),add(add(X2,X0),X1)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f1909,f81])).
% 12.07/1.93 fof(f2146,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,X1)=multiply(add(X1,X0),add(add(X0,X1),X2)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f2041,f2091])).
% 12.07/1.93 fof(f2173,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,add(X1,X0))=add(multiply(inverse(X0),X1),X0))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f176,f1988])).
% 12.07/1.93 fof(f2232,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,X1)=add(multiply(inverse(X0),X1),X0))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f1909,f2173])).
% 12.07/1.93 fof(f2233,plain,(
% 12.07/1.93 ![X0,X1]: (add(X0,X1)=add(X0,multiply(inverse(X0),X1)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f2232])).
% 12.07/1.93 fof(f2267,plain,(
% 12.07/1.93 ![X0,X1,X2]: (multiply(X0,add(X1,X2))=multiply(X0,add(X2,X1)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f21,f857])).
% 12.07/1.93 fof(f4265,plain,(
% 12.07/1.93 ![X0,X1,X2]: (multiply(add(X0,X1),add(X1,X2))=multiply(add(X1,X2),add(X1,multiply(X0,X2))))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f1537,f1287])).
% 12.07/1.93 fof(f4378,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=multiply(add(X0,X2),add(X0,multiply(X1,X2))))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f1537,f4265])).
% 12.07/1.93 fof(f4379,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=add(X0,multiply(X2,multiply(X1,X2))))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f19,f4378])).
% 12.07/1.93 fof(f4380,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,multiply(X1,X2))=add(X0,multiply(X2,X1)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f1315,f4379])).
% 12.07/1.93 fof(f4438,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),multiply(X2,X1))=multiply(add(add(X0,X1),X2),add(X1,X0)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f1909,f1554])).
% 12.07/1.93 fof(f4525,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),multiply(X2,X1))=multiply(add(X1,X0),add(add(X0,X1),X2)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f17,f4438])).
% 12.07/1.93 fof(f4526,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),multiply(X2,X1))=add(X0,X1))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f2146,f4525])).
% 12.07/1.93 fof(f4673,plain,(
% 12.07/1.93 ![X0,X1]: (multiply(inverse(X0),add(X0,X1))=multiply(inverse(X0),X1))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f205,f904])).
% 12.07/1.93 fof(f5549,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),multiply(X2,X0))=add(X1,X0))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f16,f4526])).
% 12.07/1.93 fof(f10955,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(X0,multiply(inverse(X0),add(X2,X1))))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f2267,f2233])).
% 12.07/1.93 fof(f11095,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(X0,add(X2,X1)))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f2233,f10955])).
% 12.07/1.93 fof(f11911,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(add(X0,X1),X2),add(X0,X2))=add(add(X0,X1),X2))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f907,f1250])).
% 12.07/1.93 fof(f11912,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(add(X0,X1),X2),add(X1,X2))=add(add(X0,X1),X2))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f909,f1250])).
% 12.07/1.93 fof(f12056,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),add(add(X0,X2),X1))=add(add(X0,X2),X1))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f11911])).
% 12.07/1.93 fof(f12057,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),add(add(X2,X0),X1))=add(add(X2,X0),X1))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f16,f11912])).
% 12.07/1.93 fof(f12850,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,add(X1,X2)),add(X0,multiply(inverse(X1),X2)))=add(X0,add(X1,X2)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f4673,f1562])).
% 12.07/1.93 fof(f13637,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,multiply(add(X1,X2),X1))=add(X0,add(X1,multiply(X2,X0))))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f1554,f1691])).
% 12.07/1.93 fof(f13831,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,multiply(X1,add(X1,X2)))=add(X0,add(X1,multiply(X2,X0))))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f4380,f13637])).
% 12.07/1.93 fof(f13836,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,X1)=add(X0,add(X1,multiply(X2,X0))))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f907,f13831])).
% 12.07/1.93 fof(f14097,plain,(
% 12.07/1.93 ![X0,X1,X2,X3]: (add(add(X0,X1),X2)=add(add(X0,X1),add(X2,add(X1,multiply(X3,X0)))))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f1554,f13836])).
% 12.07/1.93 fof(f14119,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(add(X0,X1),add(X2,X1)))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f909,f13836])).
% 12.07/1.93 fof(f14141,plain,(
% 12.07/1.93 ![X0,X1,X2,X3]: (add(add(X0,X1),add(multiply(X2,X0),add(X1,multiply(X3,X0))))=add(X0,add(X1,multiply(X3,X0))))),
% 12.07/1.93 inference(paramodulation,[status(thm)],[f13836,f1250])).
% 12.07/1.93 fof(f14288,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),add(X2,X0))=add(add(X2,X0),X1))),
% 12.07/1.93 inference(backward_demodulation,[status(thm)],[f14119,f12057])).
% 12.07/1.93 fof(f14289,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(add(X0,X1),add(X0,X2))=add(add(X0,X2),X1))),
% 12.07/1.93 inference(backward_demodulation,[status(thm)],[f14119,f12056])).
% 12.07/1.93 fof(f14339,plain,(
% 12.07/1.93 ![X0,X1,X2,X3]: (add(add(X0,X1),multiply(X2,X0))=add(X0,add(X1,multiply(X3,X0))))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f14097,f14141])).
% 12.07/1.93 fof(f14340,plain,(
% 12.07/1.93 ![X0,X1,X2]: (add(X0,X1)=add(X1,add(X0,multiply(X2,X1))))),
% 12.07/1.93 inference(forward_demodulation,[status(thm)],[f5549,f14339])).
% 12.07/1.95 fof(f14488,plain,(
% 12.07/1.95 ![X0,X1,X2]: (add(add(X0,multiply(inverse(X1),X2)),add(X1,X2))=add(X0,add(X1,X2)))),
% 12.07/1.95 inference(backward_demodulation,[status(thm)],[f14289,f12850])).
% 12.07/1.95 fof(f14553,plain,(
% 12.07/1.95 ![X0,X1,X2]: (add(add(X0,X1),add(X2,multiply(inverse(X0),X1)))=add(X2,add(X0,X1)))),
% 12.07/1.95 inference(forward_demodulation,[status(thm)],[f16,f14488])).
% 12.07/1.95 fof(f14848,plain,(
% 12.07/1.95 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X1,X2),add(X0,X1)))),
% 12.07/1.95 inference(paramodulation,[status(thm)],[f907,f14340])).
% 12.07/1.95 fof(f14940,plain,(
% 12.07/1.95 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X1),X2))),
% 12.07/1.95 inference(backward_demodulation,[status(thm)],[f14848,f14288])).
% 12.07/1.95 fof(f15393,plain,(
% 12.07/1.95 ![X0,X1,X2]: (add(X0,add(X1,add(X2,multiply(inverse(X0),X1))))=add(X2,add(X0,X1)))),
% 12.07/1.95 inference(backward_demodulation,[status(thm)],[f14940,f14553])).
% 12.07/1.95 fof(f16749,plain,(
% 12.07/1.95 ~add(a,add(b,c))=add(a,add(c,b))),
% 12.07/1.95 inference(backward_demodulation,[status(thm)],[f16765,f38])).
% 12.07/1.95 fof(f16765,plain,(
% 12.07/1.95 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(X1,add(X0,X2)))),
% 12.07/1.95 inference(forward_demodulation,[status(thm)],[f14340,f15393])).
% 12.07/1.95 fof(f17338,plain,(
% 12.07/1.95 ~add(a,add(b,c))=add(a,add(b,c))),
% 12.07/1.95 inference(forward_demodulation,[status(thm)],[f11095,f16749])).
% 12.07/1.95 fof(f17339,plain,(
% 12.07/1.95 $false),
% 12.07/1.95 inference(trivial_equality_resolution,[status(thm)],[f17338])).
% 12.07/1.95 % SZS output end CNFRefutation for theBenchmark.p
% 41.39/13.71 % Elapsed time: 13.142532 seconds
% 41.39/13.71 % CPU time: 70.559429 seconds
% 41.39/13.71 % Total memory used: 36.366 GB
% 41.39/13.71 % Net memory used: 36.364 GB
%------------------------------------------------------------------------------