%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO020-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 12:06:46 PM UTC 2026
% Result : Unsatisfiable 71.88s 9.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO020-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n020.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 13:49:32 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 71.88/9.56 % Refutation found
% 71.88/9.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 71.88/9.56 % SZS output start CNFRefutation for theBenchmark
% 71.88/9.56 fof(f1,axiom,(
% 71.88/9.56 (![X]: (add(X,X) = X ))),
% 71.88/9.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 71.88/9.56 fof(f2,axiom,(
% 71.88/9.56 (![X,Y,Z,U]: (( add(add(add(X,Y),Z),U) != add(add(Y,Z),X)| add(add(add(X,Y),Z),inverse(U)) = n0 ) ))),
% 71.88/9.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 71.88/9.56 fof(f3,axiom,(
% 71.88/9.56 (![X,Y,Z,U]: (( add(add(add(X,Y),Z),inverse(U)) != n0| add(add(add(X,Y),Z),U) = add(add(Y,Z),X) ) ))),
% 71.88/9.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 71.88/9.56 fof(f4,negated_conjecture,(
% 71.88/9.56 ( add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b)))) != b| add(add(a,b),c) != add(a,add(b,c))| add(b,a) != add(a,b) ) ),
% 71.88/9.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 71.88/9.56 fof(f5,plain,(
% 71.88/9.56 ![X0]: (add(X0,X0)=X0)),
% 71.88/9.56 inference(cnf_transformation,[status(thm)],[f1])).
% 71.88/9.56 fof(f6,plain,(
% 71.88/9.56 ![X0,X1,X2,X3]: (~add(add(add(X0,X1),X2),X3)=add(add(X1,X2),X0)|add(add(add(X0,X1),X2),inverse(X3))=n0)),
% 71.88/9.56 inference(cnf_transformation,[status(thm)],[f2])).
% 71.88/9.56 fof(f7,plain,(
% 71.88/9.56 ![X0,X1,X2,X3]: (~add(add(add(X0,X1),X2),inverse(X3))=n0|add(add(add(X0,X1),X2),X3)=add(add(X1,X2),X0))),
% 71.88/9.56 inference(cnf_transformation,[status(thm)],[f3])).
% 71.88/9.56 fof(f8,plain,(
% 71.88/9.56 ~add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b))))=b|~add(add(a,b),c)=add(a,add(b,c))|~add(b,a)=add(a,b)),
% 71.88/9.56 inference(cnf_transformation,[status(thm)],[f4])).
% 71.88/9.56 fof(f10,plain,(
% 71.88/9.56 ![X0,X1,X2]: (~add(add(add(X0,X0),X1),X2)=add(add(X0,X1),X0)|add(add(X0,X1),inverse(X2))=n0)),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f5,f6])).
% 71.88/9.56 fof(f12,plain,(
% 71.88/9.56 ![X0,X1,X2]: (~add(add(X0,X1),X2)=add(add(X0,X1),X0)|add(add(X0,X1),inverse(X2))=n0)),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f5,f10])).
% 71.88/9.56 fof(f13,plain,(
% 71.88/9.56 ![X0,X1]: (~add(add(X0,X0),X1)=add(add(X0,X0),X0)|add(X0,inverse(X1))=n0)),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f5,f12])).
% 71.88/9.56 fof(f14,plain,(
% 71.88/9.56 ![X0,X1]: (~add(X0,X1)=add(add(X0,X0),X0)|add(X0,inverse(X1))=n0)),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 71.88/9.56 fof(f15,plain,(
% 71.88/9.56 ![X0,X1]: (~add(X0,X1)=add(X0,X0)|add(X0,inverse(X1))=n0)),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f5,f14])).
% 71.88/9.56 fof(f16,plain,(
% 71.88/9.56 ![X0,X1]: (~add(X0,X1)=X0|add(X0,inverse(X1))=n0)),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f5,f15])).
% 71.88/9.56 fof(f20,plain,(
% 71.88/9.56 ![X0,X1,X2,X3]: (add(add(add(X0,X1),X2),X3)=add(add(X1,X2),X0)|~add(add(add(X0,X1),X2),X3)=add(add(X0,X1),X2))),
% 71.88/9.56 inference(resolution,[status(thm)],[f7,f16])).
% 71.88/9.56 fof(f22,plain,(
% 71.88/9.56 ![X0,X1,X2]: (~add(add(X0,X1),inverse(X2))=n0|add(add(add(X0,X0),X1),X2)=add(add(X0,X1),X0))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f5,f7])).
% 71.88/9.56 fof(f24,plain,(
% 71.88/9.56 ![X0,X1,X2]: (~add(add(X0,X1),inverse(X2))=n0|add(add(X0,X1),X2)=add(add(X0,X1),X0))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f5,f22])).
% 71.88/9.56 fof(f27,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(add(X0,X1),X0)|~add(add(X0,X1),X2)=add(X0,X1))),
% 71.88/9.56 inference(resolution,[status(thm)],[f24,f16])).
% 71.88/9.56 fof(f28,plain,(
% 71.88/9.56 ![X0,X1]: (~add(X0,inverse(X1))=n0|add(add(X0,X0),X1)=add(add(X0,X0),X0))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f5,f24])).
% 71.88/9.56 fof(f29,plain,(
% 71.88/9.56 ![X0,X1]: (~add(X0,inverse(X1))=n0|add(X0,X1)=add(add(X0,X0),X0))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f5,f28])).
% 71.88/9.56 fof(f30,plain,(
% 71.88/9.56 ![X0,X1]: (~add(X0,inverse(X1))=n0|add(X0,X1)=add(X0,X0))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f5,f29])).
% 71.88/9.56 fof(f31,plain,(
% 71.88/9.56 ![X0,X1]: (~add(X0,inverse(X1))=n0|add(X0,X1)=X0)),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f5,f30])).
% 71.88/9.56 fof(f32,plain,(
% 71.88/9.56 ![X0,X1,X2,X3]: (add(add(add(X0,X1),X2),X3)=add(add(X0,X1),X2)|~add(add(add(X0,X1),X2),X3)=add(add(X1,X2),X0))),
% 71.88/9.56 inference(resolution,[status(thm)],[f31,f6])).
% 71.88/9.56 fof(f36,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,X1)=add(add(X0,X1),X0)|~add(add(X0,X1),add(X0,X1))=add(X0,X1))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f5,f27])).
% 71.88/9.56 fof(f39,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,X1)=add(add(X0,X1),X0)|~add(X0,X1)=add(X0,X1))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f5,f36])).
% 71.88/9.56 fof(f46,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,X1)=add(add(X0,X1),X0))),
% 71.88/9.56 inference(trivial_equality_resolution,[status(thm)],[f39])).
% 71.88/9.56 fof(f52,plain,(
% 71.88/9.56 ![X0,X1,X2]: (~add(add(X0,X1),inverse(X2))=n0|add(add(add(X0,X1),X0),X2)=add(add(X1,X0),X0))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f46,f7])).
% 71.88/9.56 fof(f55,plain,(
% 71.88/9.56 ![X0,X1]: (~add(add(inverse(X0),X1),X0)=add(inverse(X0),X1)|add(inverse(X0),X1)=n0)),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f46,f16])).
% 71.88/9.56 fof(f59,plain,(
% 71.88/9.56 ![X0,X1,X2]: (~add(add(X0,X1),inverse(X2))=n0|add(add(X0,X1),X2)=add(add(X1,X0),X0))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f46,f52])).
% 71.88/9.56 fof(f83,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(add(X1,X0),X0)|~add(add(X0,X1),X2)=add(X0,X1))),
% 71.88/9.56 inference(resolution,[status(thm)],[f59,f16])).
% 71.88/9.56 fof(f101,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,X1)=add(add(X1,X0),X0)|~add(add(X0,X1),X0)=add(X0,X1))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f46,f83])).
% 71.88/9.56 fof(f108,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,X1)=add(add(X1,X0),X0)|~add(X0,X1)=add(X0,X1))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f46,f101])).
% 71.88/9.56 fof(f120,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,X1)=add(add(X1,X0),X0))),
% 71.88/9.56 inference(trivial_equality_resolution,[status(thm)],[f108])).
% 71.88/9.56 fof(f131,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,add(X1,X0))=add(add(X0,X1),X0))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f120,f120])).
% 71.88/9.56 fof(f132,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,add(X0,X1))=add(add(X0,X1),X0))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f46,f120])).
% 71.88/9.56 fof(f144,plain,(
% 71.88/9.56 ![X0,X1]: (add(add(X0,X1),X1)=add(add(X1,X0),add(X0,X1)))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f120,f46])).
% 71.88/9.56 fof(f152,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,add(X1,X0))=add(X0,X1))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f46,f131])).
% 71.88/9.56 fof(f154,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,add(X0,X1))=add(X0,X1))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f46,f132])).
% 71.88/9.56 fof(f165,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,X1)=add(add(X0,X1),add(X1,X0)))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f120,f144])).
% 71.88/9.56 fof(f172,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(add(add(X0,X1),X2),add(add(X0,X1),X2))=add(add(X1,X2),X0))),
% 71.88/9.56 inference(resolution,[status(thm)],[f20,f5])).
% 71.88/9.56 fof(f175,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(add(add(X0,X1),X2),X2)=add(add(X1,X2),X0)|~add(X2,add(X0,X1))=add(add(X0,X1),X2))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f120,f20])).
% 71.88/9.56 fof(f184,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(add(X1,X2),X0))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f5,f172])).
% 71.88/9.56 fof(f189,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X2,X0),X1)|~add(X0,add(X1,X2))=add(add(X1,X2),X0))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f120,f175])).
% 71.88/9.56 fof(f209,plain,(
% 71.88/9.56 ![X0,X1]: (add(add(X0,X1),add(X1,X0))=add(add(X0,X1),X1))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f152,f152])).
% 71.88/9.56 fof(f223,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,X1)=add(add(X0,X1),X1))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f165,f209])).
% 71.88/9.56 fof(f277,plain,(
% 71.88/9.56 ![X0]: (add(inverse(X0),X0)=n0)),
% 71.88/9.56 inference(resolution,[status(thm)],[f223,f55])).
% 71.88/9.56 fof(f279,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,X1)=add(X1,X0))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f120,f223])).
% 71.88/9.56 fof(f309,plain,(
% 71.88/9.56 ~add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b))))=b|~add(add(a,b),c)=add(a,add(b,c))),
% 71.88/9.56 inference(backward_subsumption_resolution,[status(thm)],[f8,f279])).
% 71.88/9.56 fof(f310,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X2,X0),X1))),
% 71.88/9.56 inference(backward_subsumption_resolution,[status(thm)],[f189,f279])).
% 71.88/9.56 fof(f335,plain,(
% 71.88/9.56 ![X0,X1]: (add(X0,X1)=add(X1,add(X1,X0)))),
% 71.88/9.56 inference(backward_demodulation,[status(thm)],[f310,f223])).
% 71.88/9.56 fof(f338,plain,(
% 71.88/9.56 ~add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b))))=b|~add(b,add(c,a))=add(a,add(b,c))),
% 71.88/9.56 inference(backward_demodulation,[status(thm)],[f310,f309])).
% 71.88/9.56 fof(f365,plain,(
% 71.88/9.56 ![X0,X1,X2,X3]: (add(add(add(X0,X1),X2),X3)=add(add(X0,X1),X2)|~add(X2,add(X3,add(X0,X1)))=add(add(X1,X2),X0))),
% 71.88/9.56 inference(backward_demodulation,[status(thm)],[f310,f32])).
% 71.88/9.56 fof(f375,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(add(X0,X1),X2))),
% 71.88/9.56 inference(backward_demodulation,[status(thm)],[f310,f184])).
% 71.88/9.56 fof(f460,plain,(
% 71.88/9.56 ![X0,X1,X2,X3]: (add(X0,add(X1,add(X2,X3)))=add(add(X2,X3),X0)|~add(X0,add(X1,add(X2,X3)))=add(add(X3,X0),X2))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f310,f365])).
% 71.88/9.56 fof(f461,plain,(
% 71.88/9.56 ![X0,X1,X2,X3]: (add(X0,add(X1,add(X2,X3)))=add(X3,add(X0,X2))|~add(X0,add(X1,add(X2,X3)))=add(add(X3,X0),X2))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f310,f460])).
% 71.88/9.56 fof(f462,plain,(
% 71.88/9.56 ![X0,X1,X2,X3]: (add(X0,add(X1,add(X2,X3)))=add(X3,add(X0,X2))|~add(X0,add(X1,add(X2,X3)))=add(X0,add(X2,X3)))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f310,f461])).
% 71.88/9.56 fof(f467,plain,(
% 71.88/9.56 ![X0]: (add(inverse(inverse(X0)),X0)=inverse(inverse(X0)))),
% 71.88/9.56 inference(resolution,[status(thm)],[f277,f31])).
% 71.88/9.56 fof(f471,plain,(
% 71.88/9.56 ![X0]: (add(X0,n0)=add(X0,inverse(X0)))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f277,f152])).
% 71.88/9.56 fof(f476,plain,(
% 71.88/9.56 ![X0]: (n0=add(X0,inverse(X0)))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f277,f279])).
% 71.88/9.56 fof(f484,plain,(
% 71.88/9.56 ![X0,X1]: (~add(inverse(X0),X1)=n0|add(X1,X0)=X1)),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f279,f31])).
% 71.88/9.56 fof(f494,plain,(
% 71.88/9.56 ![X0]: (add(X0,n0)=n0)),
% 71.88/9.56 inference(backward_demodulation,[status(thm)],[f476,f471])).
% 71.88/9.56 fof(f704,plain,(
% 71.88/9.56 ![X0]: (add(X0,inverse(inverse(X0)))=inverse(inverse(X0)))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f279,f467])).
% 71.88/9.56 fof(f745,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,add(X0,add(X1,X2)))=add(X2,add(X0,X1))|~add(X0,add(X1,X2))=add(X0,add(X1,X2)))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f154,f462])).
% 71.88/9.56 fof(f762,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,add(X1,add(inverse(X2),X2)))=add(X2,add(X0,inverse(X2)))|~add(X0,add(X1,n0))=add(X0,add(inverse(X2),X2)))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f277,f462])).
% 71.88/9.56 fof(f768,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,add(X1,add(X2,inverse(X2))))=add(inverse(X2),add(X0,X2))|~add(X0,add(X1,n0))=add(X0,add(X2,inverse(X2))))),
% 71.88/9.56 inference(paramodulation,[status(thm)],[f476,f462])).
% 71.88/9.56 fof(f796,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(add(X0,X1),X2)=add(X1,add(X2,X0))|~add(X2,add(X0,X1))=add(X2,add(X0,X1)))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f335,f745])).
% 71.88/9.56 fof(f797,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(X1,add(X2,X0))|~add(X2,add(X0,X1))=add(X2,add(X0,X1)))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f375,f796])).
% 71.88/9.56 fof(f798,plain,(
% 71.88/9.56 ~add(inverse(add(a,inverse(b))),inverse(add(inverse(a),inverse(b))))=b),
% 71.88/9.56 inference(backward_subsumption_resolution,[status(thm)],[f338,f799])).
% 71.88/9.56 fof(f799,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,add(X1,X2))=add(X1,add(X2,X0)))),
% 71.88/9.56 inference(trivial_equality_resolution,[status(thm)],[f797])).
% 71.88/9.56 fof(f841,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,add(X1,n0))=add(X2,add(X0,inverse(X2)))|~add(X0,add(X1,n0))=add(X0,add(inverse(X2),X2)))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f277,f762])).
% 71.88/9.56 fof(f842,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,n0)=add(X1,add(X0,inverse(X1)))|~add(X0,add(X2,n0))=add(X0,add(inverse(X1),X1)))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f494,f841])).
% 71.88/9.56 fof(f843,plain,(
% 71.88/9.56 ![X0,X1,X2]: (n0=add(X0,add(X1,inverse(X0)))|~add(X1,add(X2,n0))=add(X1,add(inverse(X0),X0)))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f494,f842])).
% 71.88/9.56 fof(f844,plain,(
% 71.88/9.56 ![X0,X1]: (n0=add(X0,add(X1,inverse(X0)))|~add(X1,n0)=add(X1,add(inverse(X0),X0)))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f494,f843])).
% 71.88/9.56 fof(f845,plain,(
% 71.88/9.56 ![X0,X1]: (n0=add(X0,add(X1,inverse(X0)))|~n0=add(X1,add(inverse(X0),X0)))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f494,f844])).
% 71.88/9.56 fof(f846,plain,(
% 71.88/9.56 ![X0,X1]: (n0=add(X0,add(X1,inverse(X0)))|~n0=add(X1,n0))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f277,f845])).
% 71.88/9.56 fof(f847,plain,(
% 71.88/9.56 ![X0,X1]: (n0=add(X0,add(X1,inverse(X0)))|~n0=n0)),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f494,f846])).
% 71.88/9.56 fof(f848,plain,(
% 71.88/9.56 ![X0,X1]: (n0=add(X0,add(X1,inverse(X0))))),
% 71.88/9.56 inference(trivial_equality_resolution,[status(thm)],[f847])).
% 71.88/9.56 fof(f866,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,add(X1,n0))=add(inverse(X2),add(X0,X2))|~add(X0,add(X1,n0))=add(X0,add(X2,inverse(X2))))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f476,f768])).
% 71.88/9.56 fof(f867,plain,(
% 71.88/9.56 ![X0,X1,X2]: (add(X0,n0)=add(inverse(X1),add(X0,X1))|~add(X0,add(X2,n0))=add(X0,add(X1,inverse(X1))))),
% 71.88/9.56 inference(forward_demodulation,[status(thm)],[f494,f866])).
% 71.88/9.60 fof(f868,plain,(
% 71.88/9.60 ![X0,X1,X2]: (n0=add(inverse(X0),add(X1,X0))|~add(X1,add(X2,n0))=add(X1,add(X0,inverse(X0))))),
% 71.88/9.60 inference(forward_demodulation,[status(thm)],[f494,f867])).
% 71.88/9.60 fof(f869,plain,(
% 71.88/9.60 ![X0,X1]: (n0=add(inverse(X0),add(X1,X0))|~add(X1,n0)=add(X1,add(X0,inverse(X0))))),
% 71.88/9.60 inference(forward_demodulation,[status(thm)],[f494,f868])).
% 71.88/9.60 fof(f870,plain,(
% 71.88/9.60 ![X0,X1]: (n0=add(inverse(X0),add(X1,X0))|~n0=add(X1,add(X0,inverse(X0))))),
% 71.88/9.60 inference(forward_demodulation,[status(thm)],[f494,f869])).
% 71.88/9.60 fof(f871,plain,(
% 71.88/9.60 ![X0,X1]: (n0=add(inverse(X0),add(X1,X0))|~n0=add(X1,n0))),
% 71.88/9.60 inference(forward_demodulation,[status(thm)],[f476,f870])).
% 71.88/9.60 fof(f872,plain,(
% 71.88/9.60 ![X0,X1]: (n0=add(inverse(X0),add(X1,X0))|~n0=n0)),
% 71.88/9.60 inference(forward_demodulation,[status(thm)],[f494,f871])).
% 71.88/9.60 fof(f873,plain,(
% 71.88/9.60 ![X0,X1]: (n0=add(inverse(X0),add(X1,X0)))),
% 71.88/9.60 inference(trivial_equality_resolution,[status(thm)],[f872])).
% 71.88/9.60 fof(f977,plain,(
% 71.88/9.60 ![X0]: (n0=add(X0,inverse(inverse(inverse(X0)))))),
% 71.88/9.60 inference(paramodulation,[status(thm)],[f467,f848])).
% 71.88/9.60 fof(f1023,plain,(
% 71.88/9.60 ~add(inverse(add(a,inverse(b))),inverse(add(inverse(b),inverse(a))))=b),
% 71.88/9.60 inference(paramodulation,[status(thm)],[f279,f798])).
% 71.88/9.60 fof(f1042,plain,(
% 71.88/9.60 ![X0,X1]: (n0=add(inverse(X0),add(X0,X1)))),
% 71.88/9.60 inference(paramodulation,[status(thm)],[f279,f873])).
% 71.88/9.60 fof(f1233,plain,(
% 71.88/9.60 ![X0]: (add(X0,inverse(inverse(X0)))=X0)),
% 71.88/9.60 inference(resolution,[status(thm)],[f977,f31])).
% 71.88/9.60 fof(f1252,plain,(
% 71.88/9.60 ![X0]: (X0=inverse(inverse(X0)))),
% 71.88/9.60 inference(backward_demodulation,[status(thm)],[f1233,f704])).
% 71.88/9.60 fof(f1311,plain,(
% 71.88/9.60 ![X0,X1]: (add(X0,add(X1,inverse(add(X0,X1))))=n0)),
% 71.88/9.60 inference(paramodulation,[status(thm)],[f476,f375])).
% 71.88/9.60 fof(f1448,plain,(
% 71.88/9.60 ![X0,X1]: (~add(X0,X1)=n0|add(X0,inverse(X1))=X0)),
% 71.88/9.60 inference(paramodulation,[status(thm)],[f1252,f31])).
% 71.88/9.60 fof(f1475,plain,(
% 71.88/9.60 ![X0,X1]: (~add(X0,X1)=n0|add(X1,inverse(X0))=X1)),
% 71.88/9.60 inference(paramodulation,[status(thm)],[f1252,f484])).
% 71.88/9.60 fof(f1546,plain,(
% 71.88/9.60 ![X0,X1]: (~add(X0,X1)=n0|add(inverse(X1),X0)=X0)),
% 71.88/9.60 inference(paramodulation,[status(thm)],[f279,f1448])).
% 71.88/9.60 fof(f1792,plain,(
% 71.88/9.60 ![X0,X1]: (~add(X0,X1)=n0|add(inverse(X0),X1)=X1)),
% 71.88/9.60 inference(paramodulation,[status(thm)],[f279,f1475])).
% 71.88/9.60 fof(f2261,plain,(
% 71.88/9.60 ![X0,X1]: (add(inverse(add(X0,X1)),inverse(X0))=inverse(X0))),
% 71.88/9.60 inference(resolution,[status(thm)],[f1546,f1042])).
% 71.88/9.60 fof(f2262,plain,(
% 71.88/9.60 ![X0,X1]: (add(inverse(add(X0,X1)),inverse(X1))=inverse(X1))),
% 71.88/9.60 inference(resolution,[status(thm)],[f1546,f873])).
% 71.88/9.60 fof(f7501,plain,(
% 71.88/9.60 ![X0,X1]: (add(inverse(X0),add(X1,inverse(add(X0,X1))))=add(X1,inverse(add(X0,X1))))),
% 71.88/9.60 inference(resolution,[status(thm)],[f1311,f1792])).
% 71.88/9.60 fof(f10963,plain,(
% 71.88/9.60 ![X0,X1,X2]: (add(inverse(X0),add(X1,inverse(add(X0,X2))))=add(X1,inverse(X0)))),
% 71.88/9.60 inference(paramodulation,[status(thm)],[f2261,f799])).
% 71.88/9.60 fof(f11026,plain,(
% 71.88/9.60 ![X0,X1]: (add(X0,inverse(X1))=add(X0,inverse(add(X1,X0))))),
% 71.88/9.60 inference(backward_demodulation,[status(thm)],[f10963,f7501])).
% 71.88/9.60 fof(f18230,plain,(
% 71.88/9.60 ![X0,X1]: (add(inverse(add(X0,X1)),inverse(X1))=add(inverse(add(X0,X1)),inverse(add(X1,inverse(X0)))))),
% 71.88/9.60 inference(paramodulation,[status(thm)],[f11026,f11026])).
% 71.88/9.60 fof(f18508,plain,(
% 71.88/9.60 ~inverse(inverse(b))=b),
% 71.88/9.60 inference(backward_demodulation,[status(thm)],[f18509,f1023])).
% 71.88/9.60 fof(f18509,plain,(
% 71.88/9.60 ![X0,X1]: (inverse(X0)=add(inverse(add(X1,X0)),inverse(add(X0,inverse(X1)))))),
% 71.88/9.60 inference(forward_demodulation,[status(thm)],[f2262,f18230])).
% 71.88/9.60 fof(f18639,plain,(
% 71.88/9.60 ~b=b),
% 71.88/9.60 inference(forward_demodulation,[status(thm)],[f1252,f18508])).
% 71.88/9.60 fof(f18640,plain,(
% 71.88/9.60 $false),
% 71.88/9.60 inference(trivial_equality_resolution,[status(thm)],[f18639])).
% 71.88/9.60 % SZS output end CNFRefutation for theBenchmark.p
% 4.59/9.62 % Elapsed time: 9.151650 seconds
% 4.59/9.62 % CPU time: 72.264612 seconds
% 4.59/9.62 % Total memory used: 367.495 MB
% 4.59/9.62 % Net memory used: 346.860 MB
%------------------------------------------------------------------------------