%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP547-1 : 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 : n006.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 12:36:48 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP547-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.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 20:16:13 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (![A,B,C]: (divide(divide(identity,divide(A,B)),divide(divide(B,C),A)) = C ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f2,axiom,(
% 0.11/0.38 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f3,axiom,(
% 0.11/0.38 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (![A]: (identity = divide(A,A) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f5,negated_conjecture,(
% 0.11/0.38 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f6,plain,(
% 0.11/0.38 ![X0,X1,X2]: (divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0))=X2)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.38 fof(f7,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.38 fof(f8,plain,(
% 0.11/0.38 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.38 fof(f9,plain,(
% 0.11/0.38 ![X0]: (identity=divide(X0,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.38 fof(f10,plain,(
% 0.11/0.38 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f16,plain,(
% 0.11/0.38 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),divide(divide(X1,X2),X0))=X2)),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.11/0.38 fof(f17,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.11/0.38 fof(f18,plain,(
% 0.11/0.38 inverse(identity)=identity),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.11/0.38 fof(f21,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(inverse(X0)),divide(divide(X0,X1),identity))=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.11/0.38 fof(f22,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(identity),divide(divide(X0,X1),X0))=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.11/0.38 fof(f23,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(divide(divide(X0,X1),X0)),identity)=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.11/0.38 fof(f25,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(divide(X0,identity)),divide(inverse(X1),X0))=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.11/0.38 fof(f26,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(divide(X0,X1)),divide(identity,X0))=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.11/0.38 fof(f28,plain,(
% 0.11/0.38 ![X0,X1]: (divide(identity,divide(divide(X0,X1),X0))=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f18,f22])).
% 0.11/0.38 fof(f29,plain,(
% 0.11/0.38 ![X0,X1]: (inverse(divide(divide(X0,X1),X0))=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f8,f28])).
% 0.11/0.38 fof(f30,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(inverse(X0)),divide(X0,X1))=X1)),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f31,f21])).
% 0.11/0.38 fof(f31,plain,(
% 0.11/0.38 ![X0]: (divide(X0,identity)=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f29,f23])).
% 0.11/0.38 fof(f33,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(X0),divide(inverse(X1),X0))=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f31,f25])).
% 0.11/0.38 fof(f34,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(divide(X0,X1)),inverse(X0))=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f8,f26])).
% 0.11/0.38 fof(f35,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f17,f34])).
% 0.11/0.38 fof(f51,plain,(
% 0.11/0.38 ![X0,X1,X2]: (divide(inverse(multiply(X0,X1)),divide(divide(inverse(X1),X2),X0))=X2)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f17,f16])).
% 0.11/0.38 fof(f58,plain,(
% 0.11/0.38 ![X0]: (inverse(divide(identity,X0))=X0)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f31,f29])).
% 0.11/0.38 fof(f68,plain,(
% 0.11/0.38 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f69,f30])).
% 0.11/0.38 fof(f69,plain,(
% 0.11/0.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f8,f58])).
% 0.11/0.38 fof(f77,plain,(
% 0.11/0.38 ![X0,X1]: (inverse(X0)=divide(divide(X1,X0),X1))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f29,f69])).
% 0.11/0.38 fof(f80,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f69,f17])).
% 0.11/0.38 fof(f87,plain,(
% 0.11/0.38 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),X2)=divide(divide(X1,X2),X0))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f16,f68])).
% 0.11/0.38 fof(f90,plain,(
% 0.11/0.38 ![X0,X1]: (divide(X0,multiply(X0,X1))=inverse(X1))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f17,f68])).
% 0.11/0.38 fof(f172,plain,(
% 0.11/0.38 ![X0,X1]: (divide(inverse(divide(inverse(X0),X1)),X0)=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f33,f33])).
% 0.11/0.38 fof(f184,plain,(
% 0.11/0.38 ![X0,X1]: (divide(divide(X0,X1),inverse(X1))=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f87,f172])).
% 0.11/0.38 fof(f185,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f17,f184])).
% 0.11/0.38 fof(f197,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f68,f185])).
% 0.11/0.38 fof(f198,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f17,f185])).
% 0.11/0.38 fof(f202,plain,(
% 0.11/0.38 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f80,f198])).
% 0.11/0.38 fof(f220,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f202,f197])).
% 0.11/0.38 fof(f279,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f68,f35])).
% 0.11/0.38 fof(f287,plain,(
% 0.11/0.38 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f35,f202])).
% 0.11/0.38 fof(f350,plain,(
% 0.11/0.38 ![X0,X1]: (inverse(multiply(X0,X1))=divide(inverse(X1),X0))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f90,f77])).
% 0.11/0.38 fof(f356,plain,(
% 0.11/0.38 ![X0,X1,X2]: (inverse(multiply(divide(divide(inverse(X0),X1),X2),multiply(X2,X0)))=X1)),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f350,f51])).
% 0.11/0.38 fof(f369,plain,(
% 0.11/0.38 ![X0,X1,X2]: (inverse(multiply(divide(inverse(multiply(X0,X1)),X2),multiply(X2,X1)))=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f350,f356])).
% 0.11/0.38 fof(f370,plain,(
% 0.11/0.38 ![X0,X1,X2]: (inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X2)))=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f350,f369])).
% 0.11/0.38 fof(f371,plain,(
% 0.11/0.38 ![X0,X1,X2]: (inverse(divide(multiply(X0,X1),multiply(X0,multiply(X2,X1))))=X2)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f279,f370])).
% 0.11/0.38 fof(f372,plain,(
% 0.11/0.38 ![X0,X1,X2]: (divide(multiply(X0,multiply(X1,X2)),multiply(X0,X2))=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f287,f371])).
% 0.11/0.38 fof(f557,plain,(
% 0.11/0.38 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X2,X1)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f372,f197])).
% 0.11/0.38 fof(f582,plain,(
% 0.11/0.38 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f557,f10])).
% 0.11/0.38 fof(f597,plain,(
% 0.11/0.38 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(c3,b3))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f220,f582])).
% 0.11/0.38 fof(f599,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(trivial_equality_resolution,[status(thm)],[f597])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 6.21/1.60 % Elapsed time: 1.027833 seconds
% 6.21/1.60 % CPU time: 0.068377 seconds
% 6.21/1.60 % Total memory used: 1.924 MB
% 6.21/1.60 % Net memory used: 1.781 MB
%------------------------------------------------------------------------------