%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP543-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:36:47 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP543-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n008.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 : Sun Sep 20 20:17:09 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![A,B,C]: (divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (![A]: (identity = divide(A,A) ))),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,negated_conjecture,(
% 0.13/0.38 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.13/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2)=X1)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![X0]: (identity=divide(X0,X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(inverse(divide(divide(divide(X0,X1),X2),X0)),X2)=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 identity=inverse(identity)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f8,f9])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(inverse(multiply(divide(divide(inverse(X0),X1),X2),X0)),X2)=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f17,f16])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X0,X1]: (divide(inverse(divide(identity,X0)),divide(X0,X1))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (divide(inverse(divide(divide(X0,X1),inverse(divide(divide(divide(X2,X0),X3),X2)))),X1)=X3)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X0,X1]: (divide(inverse(inverse(X0)),divide(X0,X1))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f27])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (divide(inverse(multiply(divide(X0,X1),divide(divide(divide(X2,X0),X3),X2))),X1)=X3)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f28])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f18,f17])).
% 0.13/0.38 fof(f63,plain,(
% 0.13/0.38 ![X0]: (divide(inverse(identity),divide(identity,X0))=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f18,f35])).
% 0.13/0.38 fof(f68,plain,(
% 0.13/0.38 ![X0,X1]: (divide(inverse(inverse(X0)),multiply(X0,X1))=inverse(X1))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f17,f35])).
% 0.13/0.38 fof(f69,plain,(
% 0.13/0.38 ![X0]: (divide(inverse(inverse(X0)),identity)=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f9,f35])).
% 0.13/0.38 fof(f71,plain,(
% 0.13/0.38 ![X0]: (divide(identity,divide(identity,X0))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f18,f63])).
% 0.13/0.38 fof(f72,plain,(
% 0.13/0.38 ![X0]: (inverse(divide(identity,X0))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f71])).
% 0.13/0.38 fof(f73,plain,(
% 0.13/0.38 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f75,f35])).
% 0.13/0.38 fof(f75,plain,(
% 0.13/0.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f72])).
% 0.13/0.38 fof(f82,plain,(
% 0.13/0.38 ![X0,X1]: (divide(X0,multiply(X0,X1))=inverse(X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f75,f68])).
% 0.13/0.38 fof(f83,plain,(
% 0.13/0.38 ![X0]: (multiply(inverse(inverse(X0)),identity)=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f39,f69])).
% 0.13/0.38 fof(f84,plain,(
% 0.13/0.38 ![X0]: (X0=divide(X0,identity))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f86,f39])).
% 0.13/0.38 fof(f86,plain,(
% 0.13/0.38 ![X0]: (multiply(X0,identity)=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f75,f83])).
% 0.13/0.38 fof(f103,plain,(
% 0.13/0.38 ![X0,X1]: (divide(inverse(multiply(divide(identity,X0),X1)),X0)=inverse(X1))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f9,f25])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 ![X0,X1]: (divide(inverse(multiply(inverse(X0),X1)),X0)=inverse(X1))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f8,f103])).
% 0.13/0.38 fof(f121,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f75,f17])).
% 0.13/0.38 fof(f138,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(inverse(multiply(divide(X0,X1),divide(divide(inverse(X0),X2),identity))),X1)=X2)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f8,f36])).
% 0.13/0.38 fof(f155,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(inverse(multiply(divide(X0,X1),divide(inverse(X0),X2))),X1)=X2)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f84,f138])).
% 0.13/0.38 fof(f202,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(inverse(multiply(X0,X1)),divide(divide(inverse(X1),X2),X0))=X2)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f73,f25])).
% 0.13/0.38 fof(f203,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (divide(inverse(multiply(divide(X0,X1),divide(X2,X3))),X1)=divide(divide(X3,X0),X2))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f73,f36])).
% 0.13/0.38 fof(f215,plain,(
% 0.13/0.38 ![X0,X1]: (divide(divide(X0,X1),inverse(X1))=X0)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f203,f155])).
% 0.13/0.38 fof(f233,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f17,f215])).
% 0.13/0.38 fof(f249,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f73,f233])).
% 0.13/0.38 fof(f250,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f17,f233])).
% 0.13/0.38 fof(f253,plain,(
% 0.13/0.38 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f121,f250])).
% 0.13/0.38 fof(f266,plain,(
% 0.13/0.38 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f249,f82])).
% 0.13/0.38 fof(f342,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f253,f249])).
% 0.13/0.38 fof(f356,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,inverse(X1))=inverse(multiply(inverse(X0),X1)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f111,f249])).
% 0.13/0.38 fof(f357,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(X1),X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f111,f233])).
% 0.13/0.38 fof(f370,plain,(
% 0.13/0.38 ![X0,X1]: (divide(X0,X1)=inverse(multiply(inverse(X0),X1)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f121,f356])).
% 0.13/0.38 fof(f379,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f370,f357])).
% 0.13/0.38 fof(f453,plain,(
% 0.13/0.38 ![X0,X1]: (divide(inverse(X0),X1)=inverse(multiply(X1,X0)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f17,f266])).
% 0.13/0.38 fof(f471,plain,(
% 0.13/0.38 ![X0,X1,X2]: (inverse(multiply(divide(divide(inverse(X0),X1),X2),multiply(X2,X0)))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f453,f202])).
% 0.13/0.38 fof(f500,plain,(
% 0.13/0.38 ![X0,X1,X2]: (inverse(multiply(divide(inverse(multiply(X0,X1)),X2),multiply(X2,X1)))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f453,f471])).
% 0.13/0.38 fof(f501,plain,(
% 0.13/0.38 ![X0,X1,X2]: (inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X2)))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f453,f500])).
% 0.13/0.38 fof(f502,plain,(
% 0.13/0.38 ![X0,X1,X2]: (inverse(divide(multiply(X0,X1),multiply(X0,multiply(X2,X1))))=X2)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f379,f501])).
% 0.13/0.38 fof(f503,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(multiply(X0,multiply(X1,X2)),multiply(X0,X2))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f266,f502])).
% 0.13/0.38 fof(f665,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X2,X1)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f503,f249])).
% 0.13/0.38 fof(f679,plain,(
% 0.13/0.38 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f665,f10])).
% 0.13/0.38 fof(f715,plain,(
% 0.13/0.38 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(c3,b3))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f342,f679])).
% 0.13/0.38 fof(f717,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(trivial_equality_resolution,[status(thm)],[f715])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 6.22/1.64 % Elapsed time: 1.057220 seconds
% 6.22/1.64 % CPU time: 0.074653 seconds
% 6.22/1.64 % Total memory used: 2.079 MB
% 6.22/1.64 % Net memory used: 1.972 MB
%------------------------------------------------------------------------------