%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP002-1 : 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 : 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 12:35:24 PM UTC 2026
% Result : Unsatisfiable 45.96s 6.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 19:53:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 45.96/6.31 % Refutation found
% 45.96/6.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 45.96/6.31 % SZS output start CNFRefutation for theBenchmark
% 45.96/6.31 fof(f1,axiom,(
% 45.96/6.31 (![X]: (product(identity,X,X) ))),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f2,axiom,(
% 45.96/6.31 (![X]: (product(X,identity,X) ))),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f3,axiom,(
% 45.96/6.31 (![X]: (product(inverse(X),X,identity) ))),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f4,axiom,(
% 45.96/6.31 (![X]: (product(X,inverse(X),identity) ))),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f5,axiom,(
% 45.96/6.31 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f6,axiom,(
% 45.96/6.31 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f7,axiom,(
% 45.96/6.31 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W)| product(X,V,W) ) ))),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f8,axiom,(
% 45.96/6.31 (![X,Y,U,Z,V,W]: (( ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W)| product(U,Z,W) ) ))),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f10,hypothesis,(
% 45.96/6.31 (![X,Y]: (( ~ product(X,X,Y)| product(Y,X,identity) ) ))),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f11,negated_conjecture,(
% 45.96/6.31 product(a,b,c) ),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f12,negated_conjecture,(
% 45.96/6.31 product(c,inverse(a),d) ),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f13,negated_conjecture,(
% 45.96/6.31 product(d,inverse(b),h) ),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f14,negated_conjecture,(
% 45.96/6.31 product(h,b,j) ),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f15,negated_conjecture,(
% 45.96/6.31 product(j,inverse(h),k) ),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f16,negated_conjecture,(
% 45.96/6.31 ~ product(k,inverse(b),identity) ),
% 45.96/6.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 45.96/6.31 fof(f17,plain,(
% 45.96/6.31 ![X0]: (product(identity,X0,X0))),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f1])).
% 45.96/6.31 fof(f18,plain,(
% 45.96/6.31 ![X0]: (product(X0,identity,X0))),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f2])).
% 45.96/6.31 fof(f19,plain,(
% 45.96/6.31 ![X0]: (product(inverse(X0),X0,identity))),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f3])).
% 45.96/6.31 fof(f20,plain,(
% 45.96/6.31 ![X0]: (product(X0,inverse(X0),identity))),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f4])).
% 45.96/6.31 fof(f21,plain,(
% 45.96/6.31 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f5])).
% 45.96/6.31 fof(f22,plain,(
% 45.96/6.31 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 45.96/6.31 inference(miniscoping,[status(thm)],[f6])).
% 45.96/6.31 fof(f23,plain,(
% 45.96/6.31 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f22])).
% 45.96/6.31 fof(f24,plain,(
% 45.96/6.31 ![X,V,W]: ((![U,Z]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(U,Z,W)))|product(X,V,W))),
% 45.96/6.31 inference(miniscoping,[status(thm)],[f7])).
% 45.96/6.31 fof(f25,plain,(
% 45.96/6.31 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X5)|product(X0,X4,X5))),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f24])).
% 45.96/6.31 fof(f26,plain,(
% 45.96/6.31 ![U,Z,W]: ((![X,V]: ((![Y]: (~product(X,Y,U)|~product(Y,Z,V)))|~product(X,V,W)))|product(U,Z,W))),
% 45.96/6.31 inference(miniscoping,[status(thm)],[f8])).
% 45.96/6.31 fof(f27,plain,(
% 45.96/6.31 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X1,X3,X4)|~product(X0,X4,X5)|product(X2,X3,X5))),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f26])).
% 45.96/6.31 fof(f29,plain,(
% 45.96/6.31 ![X0,X1]: (~product(X0,X0,X1)|product(X1,X0,identity))),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f10])).
% 45.96/6.31 fof(f30,plain,(
% 45.96/6.31 product(a,b,c)),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f11])).
% 45.96/6.31 fof(f31,plain,(
% 45.96/6.31 product(c,inverse(a),d)),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f12])).
% 45.96/6.31 fof(f32,plain,(
% 45.96/6.31 product(d,inverse(b),h)),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f13])).
% 45.96/6.31 fof(f33,plain,(
% 45.96/6.31 product(h,b,j)),
% 45.96/6.31 inference(cnf_transformation,[status(thm)],[f14])).
% 45.96/6.31 fof(f34,plain,(
% 45.96/6.32 product(j,inverse(h),k)),
% 45.96/6.32 inference(cnf_transformation,[status(thm)],[f15])).
% 45.96/6.32 fof(f35,plain,(
% 45.96/6.32 ~product(k,inverse(b),identity)),
% 45.96/6.32 inference(cnf_transformation,[status(thm)],[f16])).
% 45.96/6.32 fof(f38,plain,(
% 45.96/6.32 ![X0]: (~product(c,inverse(a),X0)|d=X0)),
% 45.96/6.32 inference(resolution,[status(thm)],[f23,f31])).
% 45.96/6.32 fof(f39,plain,(
% 45.96/6.32 ![X0]: (~product(h,b,X0)|j=X0)),
% 45.96/6.32 inference(resolution,[status(thm)],[f23,f33])).
% 45.96/6.32 fof(f41,plain,(
% 45.96/6.32 ![X0,X1]: (~product(X0,inverse(X0),X1)|identity=X1)),
% 45.96/6.32 inference(resolution,[status(thm)],[f23,f20])).
% 45.96/6.32 fof(f42,plain,(
% 45.96/6.32 ![X0,X1]: (~product(X0,identity,X1)|X0=X1)),
% 45.96/6.32 inference(resolution,[status(thm)],[f23,f18])).
% 45.96/6.32 fof(f43,plain,(
% 45.96/6.32 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(identity,X1,X3)|product(inverse(X0),X2,X3))),
% 45.96/6.32 inference(resolution,[status(thm)],[f25,f19])).
% 45.96/6.32 fof(f45,plain,(
% 45.96/6.32 ![X0,X1,X2]: (~product(inverse(a),X0,X1)|~product(d,X0,X2)|product(c,X1,X2))),
% 45.96/6.32 inference(resolution,[status(thm)],[f25,f31])).
% 45.96/6.32 fof(f46,plain,(
% 45.96/6.32 ![X0,X1,X2]: (~product(b,X0,X1)|~product(j,X0,X2)|product(h,X1,X2))),
% 45.96/6.32 inference(resolution,[status(thm)],[f25,f33])).
% 45.96/6.32 fof(f50,plain,(
% 45.96/6.32 ![X0,X1,X2,X3,X4]: (~product(X0,X1,X2)|~product(multiply(X3,X0),X1,X4)|product(X3,X2,X4))),
% 45.96/6.32 inference(resolution,[status(thm)],[f21,f25])).
% 45.96/6.32 fof(f51,plain,(
% 45.96/6.32 ![X0,X1,X2]: (~product(X0,X1,X2)|multiply(X0,X1)=X2)),
% 45.96/6.32 inference(resolution,[status(thm)],[f21,f23])).
% 45.96/6.32 fof(f68,plain,(
% 45.96/6.32 ![X0,X1,X2]: (~product(inverse(a),X0,X1)|~product(c,X1,X2)|product(d,X0,X2))),
% 45.96/6.32 inference(resolution,[status(thm)],[f27,f31])).
% 45.96/6.32 fof(f79,plain,(
% 45.96/6.32 ![X0]: (product(multiply(X0,X0),X0,identity))),
% 45.96/6.32 inference(resolution,[status(thm)],[f29,f21])).
% 45.96/6.32 fof(f80,plain,(
% 45.96/6.32 ![X0,X1,X2]: (~product(inverse(b),X0,X1)|~product(d,X1,X2)|product(h,X0,X2))),
% 45.96/6.32 inference(resolution,[status(thm)],[f32,f27])).
% 45.96/6.32 fof(f83,plain,(
% 45.96/6.32 ![X0,X1,X2]: (~product(inverse(h),X0,X1)|~product(j,X1,X2)|product(k,X0,X2))),
% 45.96/6.32 inference(resolution,[status(thm)],[f34,f27])).
% 45.96/6.32 fof(f116,plain,(
% 45.96/6.32 ![X0]: (identity=multiply(X0,inverse(X0)))),
% 45.96/6.32 inference(resolution,[status(thm)],[f41,f21])).
% 45.96/6.32 fof(f134,plain,(
% 45.96/6.32 ![X0,X1]: (~product(identity,X0,X1)|product(inverse(multiply(X0,X0)),identity,X1))),
% 45.96/6.32 inference(resolution,[status(thm)],[f43,f79])).
% 45.96/6.32 fof(f137,plain,(
% 45.96/6.32 ![X0,X1]: (~product(identity,X0,X1)|product(inverse(inverse(X0)),identity,X1))),
% 45.96/6.32 inference(resolution,[status(thm)],[f43,f19])).
% 45.96/6.32 fof(f141,plain,(
% 45.96/6.32 ![X0]: (~product(identity,b,X0)|product(inverse(a),c,X0))),
% 45.96/6.32 inference(resolution,[status(thm)],[f43,f30])).
% 45.96/6.32 fof(f145,plain,(
% 45.96/6.32 ![X0,X1,X2]: (~product(identity,X0,X1)|product(inverse(X2),multiply(X2,X0),X1))),
% 45.96/6.32 inference(resolution,[status(thm)],[f43,f21])).
% 45.96/6.32 fof(f158,plain,(
% 45.96/6.32 ![X0]: (~product(d,a,X0)|product(c,identity,X0))),
% 45.96/6.32 inference(resolution,[status(thm)],[f45,f19])).
% 45.96/6.32 fof(f168,plain,(
% 45.96/6.32 ![X0,X1]: (~product(j,X0,X1)|product(h,multiply(b,X0),X1))),
% 45.96/6.32 inference(resolution,[status(thm)],[f46,f21])).
% 45.96/6.32 fof(f225,plain,(
% 45.96/6.32 ![X0,X1,X2]: (~product(multiply(X0,multiply(X1,X1)),X1,X2)|product(X0,identity,X2))),
% 45.96/6.32 inference(resolution,[status(thm)],[f50,f79])).
% 45.96/6.32 fof(f232,plain,(
% 45.96/6.32 ![X0,X1]: (~product(multiply(X0,a),b,X1)|product(X0,c,X1))),
% 45.96/6.32 inference(resolution,[status(thm)],[f50,f30])).
% 45.96/6.32 fof(f236,plain,(
% 45.96/6.32 ![X0,X1,X2,X3]: (~product(multiply(X0,X1),X2,X3)|product(X0,multiply(X1,X2),X3))),
% 45.96/6.32 inference(resolution,[status(thm)],[f50,f21])).
% 45.96/6.32 fof(f315,plain,(
% 45.96/6.32 product(c,identity,multiply(d,a))),
% 45.96/6.32 inference(resolution,[status(thm)],[f158,f21])).
% 45.96/6.32 fof(f317,plain,(
% 45.96/6.32 c=multiply(d,a)),
% 45.96/6.32 inference(resolution,[status(thm)],[f315,f42])).
% 45.96/6.32 fof(f363,plain,(
% 45.96/6.32 ![X0]: (~product(d,identity,X0)|product(h,b,X0))),
% 45.96/6.32 inference(resolution,[status(thm)],[f80,f19])).
% 45.96/6.32 fof(f437,plain,(
% 45.96/6.32 ![X0]: (~product(j,identity,X0)|product(k,h,X0))),
% 45.96/6.32 inference(resolution,[status(thm)],[f83,f19])).
% 45.96/6.32 fof(f507,plain,(
% 45.96/6.32 product(h,b,d)),
% 45.96/6.32 inference(resolution,[status(thm)],[f363,f18])).
% 45.96/6.32 fof(f512,plain,(
% 45.96/6.32 j=d),
% 45.96/6.32 inference(resolution,[status(thm)],[f507,f39])).
% 45.96/6.32 fof(f668,plain,(
% 45.96/6.32 ![X0]: (product(inverse(multiply(X0,X0)),identity,X0))),
% 45.96/6.32 inference(resolution,[status(thm)],[f134,f17])).
% 45.96/6.32 fof(f687,plain,(
% 45.96/6.32 ![X0]: (inverse(multiply(X0,X0))=X0)),
% 45.96/6.32 inference(resolution,[status(thm)],[f668,f42])).
% 45.96/6.32 fof(f726,plain,(
% 45.96/6.32 ![X0]: (product(inverse(inverse(X0)),identity,X0))),
% 45.96/6.32 inference(resolution,[status(thm)],[f137,f17])).
% 45.96/6.32 fof(f764,plain,(
% 45.96/6.32 product(inverse(a),c,b)),
% 45.96/6.32 inference(resolution,[status(thm)],[f141,f17])).
% 45.96/6.32 fof(f770,plain,(
% 45.96/6.32 ![X0]: (inverse(inverse(X0))=X0)),
% 45.96/6.32 inference(resolution,[status(thm)],[f726,f42])).
% 45.96/6.32 fof(f794,plain,(
% 45.96/6.32 ![X0]: (inverse(X0)=multiply(X0,X0))),
% 45.96/6.32 inference(paramodulation,[status(thm)],[f687,f770])).
% 45.96/6.32 fof(f823,plain,(
% 45.96/6.32 ![X0]: (product(X0,X0,inverse(X0)))),
% 45.96/6.32 inference(paramodulation,[status(thm)],[f794,f21])).
% 45.96/6.32 fof(f858,plain,(
% 45.96/6.32 ![X0,X1]: (~product(X0,X0,X1)|inverse(X0)=X1)),
% 45.96/6.32 inference(resolution,[status(thm)],[f823,f23])).
% 45.96/6.32 fof(f921,plain,(
% 45.96/6.32 ![X0]: (~product(c,b,X0)|product(d,c,X0))),
% 45.96/6.32 inference(resolution,[status(thm)],[f764,f68])).
% 45.96/6.32 fof(f939,plain,(
% 45.96/6.32 ![X0,X1]: (product(inverse(X0),multiply(X0,X1),X1))),
% 45.96/6.32 inference(resolution,[status(thm)],[f145,f17])).
% 45.96/6.32 fof(f979,plain,(
% 45.96/6.32 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 45.96/6.32 inference(resolution,[status(thm)],[f939,f51])).
% 45.96/6.32 fof(f1013,plain,(
% 45.96/6.32 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 45.96/6.32 inference(paramodulation,[status(thm)],[f770,f979])).
% 45.96/6.32 fof(f1016,plain,(
% 45.96/6.32 multiply(inverse(d),c)=a),
% 45.96/6.32 inference(paramodulation,[status(thm)],[f317,f979])).
% 45.96/6.32 fof(f1275,plain,(
% 45.96/6.32 ![X0,X1]: (~product(d,X0,X1)|product(h,multiply(b,X0),X1))),
% 45.96/6.32 inference(forward_demodulation,[status(thm)],[f512,f168])).
% 45.96/6.32 fof(f1283,plain,(
% 45.96/6.32 ![X0]: (product(h,multiply(b,X0),multiply(d,X0)))),
% 45.96/6.32 inference(resolution,[status(thm)],[f1275,f21])).
% 45.96/6.32 fof(f1355,plain,(
% 45.96/6.32 ![X0,X1,X2]: (~product(multiply(X0,inverse(X1)),X1,X2)|product(X0,identity,X2))),
% 45.96/6.32 inference(forward_demodulation,[status(thm)],[f794,f225])).
% 45.96/6.32 fof(f1357,plain,(
% 45.96/6.32 ![X0,X1]: (product(X0,identity,multiply(multiply(X0,inverse(X1)),X1)))),
% 45.96/6.32 inference(resolution,[status(thm)],[f1355,f21])).
% 45.96/6.32 fof(f1402,plain,(
% 45.96/6.32 ![X0]: (~product(d,identity,X0)|product(k,h,X0))),
% 45.96/6.32 inference(forward_demodulation,[status(thm)],[f512,f437])).
% 45.96/6.32 fof(f1403,plain,(
% 45.96/6.32 product(k,h,d)),
% 45.96/6.32 inference(resolution,[status(thm)],[f1402,f18])).
% 45.96/6.32 fof(f1414,plain,(
% 45.96/6.32 multiply(k,h)=d),
% 45.96/6.32 inference(resolution,[status(thm)],[f1403,f51])).
% 45.96/6.32 fof(f1431,plain,(
% 45.96/6.32 ![X0]: (product(X0,c,multiply(multiply(X0,a),b)))),
% 45.96/6.32 inference(resolution,[status(thm)],[f232,f21])).
% 45.96/6.32 fof(f1510,plain,(
% 45.96/6.32 ![X0,X1,X2]: (product(X0,multiply(X1,X2),multiply(multiply(X0,X1),X2)))),
% 45.96/6.32 inference(resolution,[status(thm)],[f236,f21])).
% 45.96/6.32 fof(f1651,plain,(
% 45.96/6.32 product(d,c,multiply(c,b))),
% 45.96/6.32 inference(resolution,[status(thm)],[f921,f21])).
% 45.96/6.32 fof(f1662,plain,(
% 45.96/6.32 multiply(d,c)=multiply(c,b)),
% 45.96/6.32 inference(resolution,[status(thm)],[f1651,f51])).
% 45.96/6.32 fof(f1837,plain,(
% 45.96/6.32 ![X0]: (multiply(h,multiply(b,X0))=multiply(d,X0))),
% 45.96/6.32 inference(resolution,[status(thm)],[f1283,f51])).
% 45.96/6.32 fof(f2031,plain,(
% 45.96/6.32 ![X0,X1]: (X0=multiply(multiply(X0,inverse(X1)),X1))),
% 45.96/6.32 inference(resolution,[status(thm)],[f1357,f42])).
% 45.96/6.32 fof(f2136,plain,(
% 45.96/6.32 ![X0,X1]: (X0=multiply(multiply(X0,X1),inverse(X1)))),
% 45.96/6.32 inference(paramodulation,[status(thm)],[f770,f2031])).
% 45.96/6.32 fof(f2179,plain,(
% 45.96/6.32 inverse(d)=multiply(a,inverse(c))),
% 45.96/6.32 inference(paramodulation,[status(thm)],[f1016,f2136])).
% 45.96/6.32 fof(f2182,plain,(
% 45.96/6.32 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 45.96/6.32 inference(paramodulation,[status(thm)],[f979,f2136])).
% 45.96/6.32 fof(f2197,plain,(
% 45.96/6.32 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 45.96/6.32 inference(paramodulation,[status(thm)],[f2136,f979])).
% 45.96/6.32 fof(f2699,plain,(
% 45.96/6.32 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(X1),X0)))),
% 45.96/6.32 inference(paramodulation,[status(thm)],[f1013,f2197])).
% 45.96/6.32 fof(f3489,plain,(
% 45.96/6.32 inverse(c)=multiply(multiply(c,a),b)),
% 45.96/6.32 inference(resolution,[status(thm)],[f1431,f858])).
% 45.96/6.32 fof(f3588,plain,(
% 45.96/6.32 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(multiply(multiply(X0,X1),X0),X1))),
% 45.96/6.32 inference(resolution,[status(thm)],[f1510,f858])).
% 45.96/6.32 fof(f3597,plain,(
% 45.96/6.32 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 45.96/6.32 inference(resolution,[status(thm)],[f1510,f51])).
% 45.96/6.32 fof(f3637,plain,(
% 45.96/6.32 ![X0,X1]: (product(X0,inverse(X1),multiply(multiply(X0,X1),X1)))),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f794,f1510])).
% 12.94/6.34 fof(f3650,plain,(
% 12.94/6.34 ![X0]: (product(k,multiply(h,X0),multiply(d,X0)))),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f1414,f1510])).
% 12.94/6.34 fof(f3679,plain,(
% 12.94/6.34 ![X0,X1]: (product(X0,multiply(X0,X1),multiply(inverse(X0),X1)))),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f794,f1510])).
% 12.94/6.34 fof(f3735,plain,(
% 12.94/6.34 d=multiply(multiply(c,a),a)),
% 12.94/6.34 inference(resolution,[status(thm)],[f3637,f38])).
% 12.94/6.34 fof(f4155,plain,(
% 12.94/6.34 multiply(inverse(multiply(c,a)),d)=a),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f3735,f979])).
% 12.94/6.34 fof(f4265,plain,(
% 12.94/6.34 ![X0,X1]: (multiply(X0,multiply(X0,X1))=multiply(inverse(X0),X1))),
% 12.94/6.34 inference(resolution,[status(thm)],[f3679,f51])).
% 12.94/6.34 fof(f9121,plain,(
% 12.94/6.34 inverse(multiply(c,a))=multiply(b,inverse(inverse(c)))),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f3489,f2182])).
% 12.94/6.34 fof(f9141,plain,(
% 12.94/6.34 inverse(multiply(c,a))=multiply(b,c)),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f770,f9121])).
% 12.94/6.34 fof(f13200,plain,(
% 12.94/6.34 multiply(multiply(b,c),d)=a),
% 12.94/6.34 inference(backward_demodulation,[status(thm)],[f9141,f4155])).
% 12.94/6.34 fof(f13251,plain,(
% 12.94/6.34 multiply(b,multiply(c,d))=a),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f3597,f13200])).
% 12.94/6.34 fof(f13320,plain,(
% 12.94/6.34 multiply(h,a)=multiply(d,multiply(c,d))),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f13251,f1837])).
% 12.94/6.34 fof(f25407,plain,(
% 12.94/6.34 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(multiply(X0,X1),multiply(X0,X1)))),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f3597,f3588])).
% 12.94/6.34 fof(f25410,plain,(
% 12.94/6.34 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(X0,multiply(X1,multiply(X0,X1))))),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f3597,f25407])).
% 12.94/6.34 fof(f25615,plain,(
% 12.94/6.34 ![X0,X1]: (multiply(inverse(inverse(multiply(X0,X1))),X0)=inverse(multiply(X1,multiply(X0,X1))))),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f25410,f2197])).
% 12.94/6.34 fof(f25972,plain,(
% 12.94/6.34 ![X0,X1]: (multiply(multiply(X0,X1),X0)=inverse(multiply(X1,multiply(X0,X1))))),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f770,f25615])).
% 12.94/6.34 fof(f25973,plain,(
% 12.94/6.34 ![X0,X1]: (multiply(X0,multiply(X1,X0))=inverse(multiply(X1,multiply(X0,X1))))),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f3597,f25972])).
% 12.94/6.34 fof(f63602,plain,(
% 12.94/6.34 multiply(d,multiply(c,d))=inverse(multiply(c,multiply(c,b)))),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f1662,f25973])).
% 12.94/6.34 fof(f64295,plain,(
% 12.94/6.34 multiply(h,a)=inverse(multiply(c,multiply(c,b)))),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f13320,f63602])).
% 12.94/6.34 fof(f64296,plain,(
% 12.94/6.34 multiply(h,a)=inverse(multiply(inverse(c),b))),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f4265,f64295])).
% 12.94/6.34 fof(f64297,plain,(
% 12.94/6.34 multiply(h,a)=multiply(inverse(b),c)),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f2699,f64296])).
% 12.94/6.34 fof(f65523,plain,(
% 12.94/6.34 multiply(b,multiply(h,a))=c),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f64297,f1013])).
% 12.94/6.34 fof(f65859,plain,(
% 12.94/6.34 inverse(b)=multiply(multiply(h,a),inverse(c))),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f65523,f2182])).
% 12.94/6.34 fof(f65935,plain,(
% 12.94/6.34 inverse(b)=multiply(h,multiply(a,inverse(c)))),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f3597,f65859])).
% 12.94/6.34 fof(f65936,plain,(
% 12.94/6.34 inverse(b)=multiply(h,inverse(d))),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f2179,f65935])).
% 12.94/6.34 fof(f66177,plain,(
% 12.94/6.34 product(k,inverse(b),multiply(d,inverse(d)))),
% 12.94/6.34 inference(paramodulation,[status(thm)],[f65936,f3650])).
% 12.94/6.34 fof(f66311,plain,(
% 12.94/6.34 product(k,inverse(b),identity)),
% 12.94/6.34 inference(forward_demodulation,[status(thm)],[f116,f66177])).
% 12.94/6.34 fof(f66312,plain,(
% 12.94/6.34 $false),
% 12.94/6.34 inference(forward_subsumption_resolution,[status(thm)],[f66311,f35])).
% 12.94/6.34 % SZS output end CNFRefutation for theBenchmark.p
% 12.94/6.35 % Elapsed time: 5.969379 seconds
% 12.94/6.35 % CPU time: 46.961831 seconds
% 12.94/6.35 % Total memory used: 209.301 MB
% 12.94/6.35 % Net memory used: 173.703 MB
%------------------------------------------------------------------------------