%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP532-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:36:46 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP532-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:18:28 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (![A,B,C]: (divide(divide(A,divide(B,C)),divide(A,B)) = C ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,axiom,(
% 0.09/0.37 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,axiom,(
% 0.09/0.37 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,negated_conjecture,(
% 0.09/0.37 multiply(a,b) != multiply(b,a) ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,plain,(
% 0.09/0.37 ![X0,X1,X2]: (divide(divide(X0,divide(X1,X2)),divide(X0,X1))=X2)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.37 fof(f6,plain,(
% 0.09/0.37 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.37 fof(f7,plain,(
% 0.09/0.37 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.37 fof(f8,plain,(
% 0.09/0.37 ~multiply(a,b)=multiply(b,a)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.37 fof(f9,definition,(
% 0.09/0.37 sF0_fnc=multiply(a,b)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.37 fof(f10,definition,(
% 0.09/0.37 sF1_fnc=multiply(b,a)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/0.37 fof(f11,plain,(
% 0.09/0.37 ~sF0_fnc=sF1_fnc),
% 0.09/0.37 inference(definition_folding,[],[f8,f10,f9])).
% 0.09/0.37 fof(f12,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f7,f12])).
% 0.09/0.37 fof(f19,plain,(
% 0.09/0.37 ![X0,X1]: (inverse(divide(divide(X0,X1),X0))=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.09/0.37 fof(f21,plain,(
% 0.09/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),divide(divide(X2,X2),X0))=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.09/0.37 fof(f23,plain,(
% 0.09/0.37 ![X0,X1,X2]: (divide(divide(X0,inverse(X1)),divide(X0,divide(X2,X2)))=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.09/0.37 fof(f29,plain,(
% 0.09/0.37 ![X0,X1]: (divide(inverse(divide(X0,X1)),inverse(X0))=X1)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f7,f21])).
% 0.09/0.37 fof(f30,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=X1)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f12,f29])).
% 0.09/0.37 fof(f31,plain,(
% 0.09/0.37 ![X0,X1,X2]: (divide(multiply(X0,X1),divide(X0,divide(X2,X2)))=X1)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f12,f23])).
% 0.09/0.37 fof(f37,plain,(
% 0.09/0.37 ![X0]: (inverse(inverse(X0))=X0)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f7,f19])).
% 0.09/0.37 fof(f42,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f19,f30])).
% 0.09/0.37 fof(f44,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(divide(X0,X0),X1)=X1)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f37,f14])).
% 0.09/0.37 fof(f57,plain,(
% 0.09/0.37 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f44,f42])).
% 0.09/0.37 fof(f58,plain,(
% 0.09/0.37 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=divide(X0,divide(X1,X2)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f5,f42])).
% 0.09/0.37 fof(f63,plain,(
% 0.09/0.37 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f57,f31])).
% 0.09/0.37 fof(f64,plain,(
% 0.09/0.37 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f58,f44])).
% 0.09/0.37 fof(f111,plain,(
% 0.09/0.37 divide(sF0_fnc,a)=b),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f9,f63])).
% 0.09/0.37 fof(f134,plain,(
% 0.09/0.37 divide(sF0_fnc,b)=a),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f111,f64])).
% 0.09/0.37 fof(f177,plain,(
% 0.09/0.37 multiply(b,a)=sF0_fnc),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f134,f42])).
% 0.09/0.37 fof(f178,plain,(
% 0.09/0.37 sF1_fnc=sF0_fnc),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f177,f10])).
% 0.09/0.37 fof(f179,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f178,f11])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.027125 seconds
% 0.12/0.39 % CPU time: 0.060413 seconds
% 0.12/0.39 % Total memory used: 2.839 MB
% 0.12/0.39 % Net memory used: 2.724 MB
%------------------------------------------------------------------------------