%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP529-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 12:36:46 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 : GRP529-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.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 20:15:56 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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,negated_conjecture,(
% 0.09/0.37 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.09/0.37 file('/export/starexec/sandbox/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(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.37 fof(f9,definition,(
% 0.09/0.37 sF1_fnc=inverse(a1)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/0.37 fof(f10,definition,(
% 0.09/0.37 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.37 fof(f11,definition,(
% 0.09/0.37 sF3_fnc=inverse(b1)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.09/0.37 fof(f12,definition,(
% 0.09/0.37 sF2_fnc=multiply(sF3_fnc,b1)),
% 0.09/0.37 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.09/0.37 fof(f13,plain,(
% 0.09/0.37 ~sF0_fnc=sF2_fnc),
% 0.09/0.37 inference(definition_folding,[],[f8,f12,f11,f10,f9])).
% 0.09/0.37 fof(f14,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(f16,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(f18,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(f24,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,f18])).
% 0.09/0.37 fof(f25,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=X1)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f14,f24])).
% 0.09/0.37 fof(f31,plain,(
% 0.09/0.37 ![X0]: (inverse(inverse(X0))=X0)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f7,f16])).
% 0.09/0.37 fof(f34,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f16,f25])).
% 0.09/0.37 fof(f45,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,f34])).
% 0.09/0.37 fof(f46,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,inverse(X0))=divide(X1,X1))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f7,f34])).
% 0.09/0.37 fof(f47,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f7,f14])).
% 0.09/0.37 fof(f50,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f31,f14])).
% 0.09/0.37 fof(f51,plain,(
% 0.09/0.37 ![X0]: (multiply(X0,b1)=divide(X0,sF3_fnc))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f11,f14])).
% 0.09/0.37 fof(f52,plain,(
% 0.09/0.37 ![X0]: (multiply(X0,a1)=divide(X0,sF1_fnc))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.09/0.37 fof(f59,plain,(
% 0.09/0.37 ![X0,X1]: (divide(X0,divide(X0,X1))=inverse(inverse(X1)))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f45,f47])).
% 0.09/0.37 fof(f60,plain,(
% 0.09/0.37 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f31,f59])).
% 0.09/0.37 fof(f61,plain,(
% 0.09/0.37 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f50,f46])).
% 0.09/0.37 fof(f62,plain,(
% 0.09/0.37 sF2_fnc=divide(sF3_fnc,sF3_fnc)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f51,f12])).
% 0.09/0.37 fof(f63,plain,(
% 0.09/0.37 sF0_fnc=divide(sF1_fnc,sF1_fnc)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f52,f10])).
% 0.09/0.37 fof(f68,plain,(
% 0.09/0.37 ![X0]: (divide(divide(sF3_fnc,divide(sF3_fnc,X0)),sF2_fnc)=X0)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f62,f5])).
% 0.09/0.37 fof(f72,plain,(
% 0.09/0.37 ![X0]: (divide(X0,sF2_fnc)=X0)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f60,f68])).
% 0.09/0.37 fof(f74,plain,(
% 0.09/0.37 ![X0]: (inverse(sF2_fnc)=divide(X0,X0))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f7,f72])).
% 0.09/0.37 fof(f79,plain,(
% 0.09/0.37 ![X0,X1]: (divide(divide(X0,X1),divide(X0,X1))=sF2_fnc)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f72,f5])).
% 0.09/0.37 fof(f83,plain,(
% 0.09/0.37 sF0_fnc=inverse(sF2_fnc)),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f74,f63])).
% 0.09/0.37 fof(f84,plain,(
% 0.09/0.37 ![X0]: (divide(X0,X0)=inverse(sF2_fnc))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f74,f61])).
% 0.09/0.37 fof(f92,plain,(
% 0.09/0.37 ![X0]: (sF2_fnc=divide(X0,X0))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f94,f74])).
% 0.09/0.37 fof(f94,plain,(
% 0.09/0.37 inverse(sF2_fnc)=sF2_fnc),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f74,f79])).
% 0.09/0.37 fof(f97,plain,(
% 0.09/0.37 ![X0]: (divide(X0,X0)=sF0_fnc)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f83,f84])).
% 0.09/0.37 fof(f102,plain,(
% 0.09/0.37 sF2_fnc=sF0_fnc),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f97,f92])).
% 0.09/0.37 fof(f103,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f102,f13])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.045746 seconds
% 0.13/0.41 % CPU time: 0.042672 seconds
% 0.13/0.41 % Total memory used: 1.710 MB
% 0.13/0.41 % Net memory used: 1.704 MB
%------------------------------------------------------------------------------