%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP521-1 : 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 : n001.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 0.23s 5.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP521-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.49 % Computer : n001.cluster.edu
% 0.18/5.49 % Model : x86_64 x86_64
% 0.18/5.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.49 % Memory : 8046.5625MB
% 0.18/5.49 % OS : Linux 6.8.0-71-generic
% 0.18/5.49 % CPULimit : 300
% 0.18/5.49 % WCLimit : 300
% 0.18/5.49 % DateTime : Sun Sep 20 20:21:18 UTC 2026
% 0.18/5.49 % CPUTime :
% 0.23/5.50 % Drodi V4.1.1
% 0.23/5.52 % Refutation found
% 0.23/5.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/5.52 % SZS output start CNFRefutation for theBenchmark
% 0.23/5.52 fof(f1,axiom,(
% 0.23/5.52 (![A,B,C]: (divide(A,divide(B,divide(C,divide(A,B)))) = C ))),
% 0.23/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.52 fof(f2,axiom,(
% 0.23/5.52 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.23/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.52 fof(f3,axiom,(
% 0.23/5.52 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.23/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.52 fof(f4,negated_conjecture,(
% 0.23/5.52 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.23/5.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/5.52 fof(f5,plain,(
% 0.23/5.52 ![X0,X1,X2]: (divide(X0,divide(X1,divide(X2,divide(X0,X1))))=X2)),
% 0.23/5.52 inference(cnf_transformation,[status(thm)],[f1])).
% 0.23/5.52 fof(f6,plain,(
% 0.23/5.52 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.23/5.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/5.52 fof(f7,plain,(
% 0.23/5.52 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.23/5.52 inference(cnf_transformation,[status(thm)],[f3])).
% 0.23/5.52 fof(f8,plain,(
% 0.23/5.52 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.23/5.52 inference(cnf_transformation,[status(thm)],[f4])).
% 0.23/5.52 fof(f9,definition,(
% 0.23/5.52 sF1_fnc=inverse(a1)),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.23/5.52 fof(f10,definition,(
% 0.23/5.52 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.23/5.52 fof(f11,definition,(
% 0.23/5.52 sF3_fnc=inverse(b1)),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.23/5.52 fof(f12,definition,(
% 0.23/5.52 sF2_fnc=multiply(sF3_fnc,b1)),
% 0.23/5.52 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.23/5.52 fof(f13,plain,(
% 0.23/5.52 ~sF0_fnc=sF2_fnc),
% 0.23/5.52 inference(definition_folding,[],[f8,f12,f11,f10,f9])).
% 0.23/5.52 fof(f14,plain,(
% 0.23/5.52 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.23/5.52 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.23/5.52 fof(f17,plain,(
% 0.23/5.52 ![X0]: (multiply(X0,b1)=divide(X0,sF3_fnc))),
% 0.23/5.52 inference(paramodulation,[status(thm)],[f11,f14])).
% 0.23/5.52 fof(f18,plain,(
% 0.23/5.52 ![X0]: (multiply(X0,a1)=divide(X0,sF1_fnc))),
% 0.23/5.52 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.23/5.52 fof(f21,plain,(
% 0.23/5.52 sF2_fnc=divide(sF3_fnc,sF3_fnc)),
% 0.23/5.52 inference(backward_demodulation,[status(thm)],[f17,f12])).
% 0.23/5.52 fof(f22,plain,(
% 0.23/5.52 sF0_fnc=divide(sF1_fnc,sF1_fnc)),
% 0.23/5.52 inference(backward_demodulation,[status(thm)],[f18,f10])).
% 0.23/5.52 fof(f23,plain,(
% 0.23/5.52 ![X0]: (inverse(X0)=divide(sF2_fnc,X0))),
% 0.23/5.52 inference(paramodulation,[status(thm)],[f21,f7])).
% 0.23/5.52 fof(f27,plain,(
% 0.23/5.52 ![X0,X1,X2]: (divide(X0,divide(X1,inverse(divide(X0,X1))))=divide(X2,X2))),
% 0.23/5.52 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.23/5.52 fof(f38,plain,(
% 0.23/5.52 ![X0,X1,X2]: (divide(X0,multiply(X1,divide(X0,X1)))=divide(X2,X2))),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f14,f27])).
% 0.23/5.52 fof(f83,plain,(
% 0.23/5.52 ![X0,X1]: (divide(X0,divide(X1,inverse(divide(X0,X1))))=sF2_fnc)),
% 0.23/5.52 inference(paramodulation,[status(thm)],[f23,f5])).
% 0.23/5.52 fof(f95,plain,(
% 0.23/5.52 ![X0]: (sF2_fnc=divide(X0,X0))),
% 0.23/5.52 inference(backward_demodulation,[status(thm)],[f96,f38])).
% 0.23/5.52 fof(f96,plain,(
% 0.23/5.52 ![X0,X1]: (divide(X0,multiply(X1,divide(X0,X1)))=sF2_fnc)),
% 0.23/5.52 inference(forward_demodulation,[status(thm)],[f14,f83])).
% 0.23/5.52 fof(f103,plain,(
% 0.23/5.52 sF0_fnc=sF2_fnc),
% 0.23/5.52 inference(backward_demodulation,[status(thm)],[f95,f22])).
% 0.23/5.52 fof(f113,plain,(
% 0.23/5.52 $false),
% 0.23/5.52 inference(forward_subsumption_resolution,[status(thm)],[f103,f13])).
% 0.23/5.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.54 % Elapsed time: 0.036740 seconds
% 0.23/5.54 % CPU time: 0.070013 seconds
% 0.23/5.54 % Total memory used: 2.475 MB
% 0.23/5.54 % Net memory used: 2.441 MB
%------------------------------------------------------------------------------