%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP524-1 : 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 : n011.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 12:36:45 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP524-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:15:40 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f1,axiom,(
% 0.08/0.37 (![A,B,C]: (divide(A,divide(B,divide(C,divide(A,B)))) = C ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f2,axiom,(
% 0.08/0.37 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f3,axiom,(
% 0.08/0.37 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f4,negated_conjecture,(
% 0.08/0.37 multiply(a,b) != multiply(b,a) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f5,plain,(
% 0.08/0.37 ![X0,X1,X2]: (divide(X0,divide(X1,divide(X2,divide(X0,X1))))=X2)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.37 fof(f6,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.37 fof(f7,plain,(
% 0.08/0.37 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.37 fof(f8,plain,(
% 0.08/0.37 ~multiply(a,b)=multiply(b,a)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.37 fof(f9,definition,(
% 0.08/0.37 sF0_fnc=multiply(a,b)),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.08/0.37 fof(f10,definition,(
% 0.08/0.37 sF1_fnc=multiply(b,a)),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.08/0.37 fof(f11,plain,(
% 0.08/0.37 ~sF0_fnc=sF1_fnc),
% 0.08/0.37 inference(definition_folding,[],[f8,f10,f9])).
% 0.08/0.37 fof(f12,plain,(
% 0.08/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.08/0.37 fof(f19,plain,(
% 0.08/0.37 ![X0,X1,X2]: (inverse(divide(X0,divide(X1,divide(divide(X2,X2),X0))))=X1)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.08/0.37 fof(f20,plain,(
% 0.08/0.37 ![X0,X1,X2]: (divide(X0,inverse(divide(X1,divide(X0,divide(X2,X2)))))=X1)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.08/0.37 fof(f27,plain,(
% 0.08/0.37 ![X0,X1]: (inverse(divide(X0,divide(X1,inverse(X0))))=X1)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f7,f19])).
% 0.08/0.37 fof(f28,plain,(
% 0.08/0.37 ![X0,X1]: (inverse(divide(X0,multiply(X1,X0)))=X1)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f12,f27])).
% 0.08/0.37 fof(f29,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(X0,divide(X1,divide(X0,divide(X2,X2))))=X1)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f12,f20])).
% 0.08/0.37 fof(f35,plain,(
% 0.08/0.37 ![X0,X1]: (inverse(inverse(multiply(X0,divide(X1,X1))))=X0)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f7,f28])).
% 0.08/0.37 fof(f46,plain,(
% 0.08/0.37 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,divide(X2,X2))))=divide(X0,X1))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f35,f12])).
% 0.08/0.37 fof(f102,plain,(
% 0.08/0.37 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f5,f29])).
% 0.08/0.37 fof(f111,plain,(
% 0.08/0.37 ![X0,X1]: (inverse(inverse(divide(X0,divide(X1,X1))))=X0)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f29,f35])).
% 0.08/0.37 fof(f136,plain,(
% 0.08/0.37 ![X0]: (inverse(inverse(X0))=X0)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f102,f35])).
% 0.08/0.37 fof(f138,plain,(
% 0.08/0.37 ![X0,X1]: (multiply(X0,divide(X1,X1))=X0)),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f136,f35])).
% 0.08/0.37 fof(f145,plain,(
% 0.08/0.37 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f136,f111])).
% 0.08/0.37 fof(f155,plain,(
% 0.08/0.37 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.08/0.37 inference(backward_demodulation,[status(thm)],[f138,f46])).
% 0.08/0.37 fof(f220,plain,(
% 0.08/0.37 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f145,f5])).
% 0.08/0.37 fof(f252,plain,(
% 0.08/0.37 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f220,f102])).
% 0.08/0.37 fof(f321,plain,(
% 0.08/0.37 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f12,f252])).
% 0.08/0.37 fof(f324,plain,(
% 0.08/0.37 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f155,f321])).
% 0.08/0.37 fof(f330,plain,(
% 0.08/0.37 divide(sF1_fnc,a)=b),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f10,f324])).
% 0.08/0.37 fof(f347,plain,(
% 0.08/0.37 multiply(a,b)=sF1_fnc),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f330,f102])).
% 0.08/0.37 fof(f348,plain,(
% 0.08/0.37 sF0_fnc=sF1_fnc),
% 0.08/0.37 inference(forward_demodulation,[status(thm)],[f9,f347])).
% 0.08/0.37 fof(f349,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f348,f11])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.046830 seconds
% 0.12/0.41 % CPU time: 0.060365 seconds
% 0.12/0.41 % Total memory used: 2.701 MB
% 0.12/0.41 % Net memory used: 2.671 MB
%------------------------------------------------------------------------------