%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP461-1 : 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 : n009.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 12:36:40 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP461-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:13:59 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f1,axiom,(
% 0.12/0.36 (![A,B,C]: (divide(A,divide(divide(divide(identity,B),C),divide(divide(divide(A,A),A),C))) = B ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f2,axiom,(
% 0.12/0.36 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f3,axiom,(
% 0.12/0.36 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f4,axiom,(
% 0.12/0.36 (![A]: (identity = divide(A,A) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f5,negated_conjecture,(
% 0.12/0.36 multiply(identity,a2) != a2 ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f6,plain,(
% 0.12/0.36 ![X0,X1,X2]: (divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2)))=X1)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.36 fof(f7,plain,(
% 0.12/0.36 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.36 fof(f8,plain,(
% 0.12/0.36 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.36 fof(f9,plain,(
% 0.12/0.36 ![X0]: (identity=divide(X0,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.36 fof(f10,plain,(
% 0.12/0.36 ~multiply(identity,a2)=a2),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.36 fof(f11,definition,(
% 0.12/0.36 sF0_fnc=multiply(identity,a2)),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.12/0.36 fof(f12,plain,(
% 0.12/0.36 ~sF0_fnc=a2),
% 0.12/0.36 inference(definition_folding,[],[f10,f11])).
% 0.12/0.36 fof(f13,plain,(
% 0.12/0.36 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.12/0.36 fof(f14,plain,(
% 0.12/0.36 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(divide(divide(X0,X0),X0),X2)))=X1)),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.12/0.36 fof(f15,plain,(
% 0.12/0.36 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(divide(identity,X0),X2)))=X1)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f9,f14])).
% 0.12/0.36 fof(f16,plain,(
% 0.12/0.36 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f8,f15])).
% 0.12/0.36 fof(f17,plain,(
% 0.12/0.36 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.12/0.36 fof(f19,plain,(
% 0.12/0.36 ![X0]: (divide(X0,identity)=X0)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.12/0.36 fof(f22,plain,(
% 0.12/0.36 ![X0,X1]: (divide(X0,divide(identity,divide(inverse(X0),inverse(X1))))=X1)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.12/0.36 fof(f25,plain,(
% 0.12/0.36 ![X0,X1]: (divide(X0,divide(divide(inverse(X1),inverse(X0)),identity))=X1)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f9,f16])).
% 0.12/0.36 fof(f27,plain,(
% 0.12/0.36 ![X0,X1]: (divide(X0,inverse(divide(inverse(X0),inverse(X1))))=X1)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f8,f22])).
% 0.12/0.36 fof(f28,plain,(
% 0.12/0.36 ![X0,X1]: (multiply(X0,divide(inverse(X0),inverse(X1)))=X1)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f13,f27])).
% 0.12/0.36 fof(f29,plain,(
% 0.12/0.36 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f13,f28])).
% 0.12/0.36 fof(f31,plain,(
% 0.12/0.36 ![X0,X1]: (divide(X0,divide(inverse(X1),inverse(X0)))=X1)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f19,f25])).
% 0.12/0.36 fof(f32,plain,(
% 0.12/0.36 ![X0,X1]: (divide(X0,multiply(inverse(X1),X0))=X1)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f13,f31])).
% 0.12/0.36 fof(f41,plain,(
% 0.12/0.36 ![X0]: (multiply(X0,identity)=X0)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f17,f29])).
% 0.12/0.36 fof(f43,plain,(
% 0.12/0.36 identity=inverse(identity)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f17,f41])).
% 0.12/0.36 fof(f46,plain,(
% 0.12/0.36 ![X0]: (multiply(identity,multiply(identity,X0))=X0)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f43,f29])).
% 0.12/0.36 fof(f73,plain,(
% 0.12/0.36 multiply(identity,sF0_fnc)=a2),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f11,f46])).
% 0.12/0.36 fof(f78,plain,(
% 0.12/0.36 ![X0]: (divide(identity,inverse(X0))=X0)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f41,f32])).
% 0.12/0.36 fof(f82,plain,(
% 0.12/0.36 sF0_fnc=a2),
% 0.12/0.36 inference(backward_demodulation,[status(thm)],[f85,f73])).
% 0.12/0.37 fof(f85,plain,(
% 0.12/0.37 ![X0]: (multiply(identity,X0)=X0)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f13,f78])).
% 0.12/0.37 fof(f89,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f82,f12])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.021431 seconds
% 0.12/0.38 % CPU time: 0.033949 seconds
% 0.12/0.38 % Total memory used: 975.712 KB
% 0.12/0.38 % Net memory used: 930.320 KB
%------------------------------------------------------------------------------