%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP466-1 : 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 : n026.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 0.18s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP466-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n026.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 20:16:37 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.46 % Refutation found
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.46 fof(f1,axiom,(
% 0.18/0.46 (![A,B,C,D]: (divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C ))),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f2,axiom,(
% 0.18/0.46 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f3,negated_conjecture,(
% 0.18/0.46 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.18/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.46 fof(f4,plain,(
% 0.18/0.46 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3))))=X2)),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.46 fof(f5,plain,(
% 0.18/0.46 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.46 fof(f6,plain,(
% 0.18/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.18/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.18/0.46 fof(f7,definition,(
% 0.18/0.46 sF1_fnc=inverse(a1)),
% 0.18/0.46 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.18/0.46 fof(f8,definition,(
% 0.18/0.46 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.18/0.46 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.18/0.46 fof(f9,definition,(
% 0.18/0.46 sF3_fnc=inverse(b1)),
% 0.18/0.46 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.18/0.46 fof(f10,definition,(
% 0.18/0.46 sF2_fnc=multiply(sF3_fnc,b1)),
% 0.18/0.46 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.18/0.46 fof(f11,plain,(
% 0.18/0.46 ~sF0_fnc=sF2_fnc),
% 0.18/0.46 inference(definition_folding,[],[f6,f10,f9,f8,f7])).
% 0.18/0.46 fof(f12,plain,(
% 0.18/0.46 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3)))=X2)),
% 0.18/0.46 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.18/0.46 fof(f13,plain,(
% 0.18/0.46 ![X0]: (multiply(X0,b1)=divide(X0,sF3_fnc))),
% 0.18/0.46 inference(paramodulation,[status(thm)],[f9,f5])).
% 0.18/0.46 fof(f14,plain,(
% 0.18/0.46 ![X0]: (multiply(X0,a1)=divide(X0,sF1_fnc))),
% 0.18/0.46 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.18/0.46 fof(f15,plain,(
% 0.18/0.46 ![X0,X1,X2]: (divide(multiply(sF1_fnc,a1),divide(X0,multiply(divide(X1,divide(X2,X0)),X2)))=X1)),
% 0.18/0.46 inference(paramodulation,[status(thm)],[f14,f12])).
% 0.18/0.46 fof(f23,plain,(
% 0.18/0.46 ![X0,X1,X2]: (divide(sF0_fnc,divide(X0,multiply(divide(X1,divide(X2,X0)),X2)))=X1)),
% 0.18/0.46 inference(forward_demodulation,[status(thm)],[f8,f15])).
% 0.18/0.46 fof(f25,plain,(
% 0.18/0.46 ![X0,X1,X2]: (divide(sF0_fnc,divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2)))=sF0_fnc)),
% 0.18/0.46 inference(paramodulation,[status(thm)],[f23,f23])).
% 0.18/0.46 fof(f26,plain,(
% 0.18/0.46 ![X0,X1,X2,X3]: (divide(sF0_fnc,divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2)))=divide(X3,X3))),
% 0.18/0.46 inference(paramodulation,[status(thm)],[f12,f23])).
% 0.18/0.46 fof(f40,plain,(
% 0.18/0.46 ![X0]: (sF0_fnc=divide(X0,X0))),
% 0.18/0.46 inference(forward_demodulation,[status(thm)],[f25,f26])).
% 0.18/0.46 fof(f47,plain,(
% 0.18/0.46 sF0_fnc=multiply(sF3_fnc,b1)),
% 0.18/0.46 inference(paramodulation,[status(thm)],[f13,f40])).
% 0.18/0.46 fof(f54,plain,(
% 0.18/0.46 sF2_fnc=sF0_fnc),
% 0.18/0.46 inference(backward_demodulation,[status(thm)],[f47,f10])).
% 0.18/0.46 fof(f56,plain,(
% 0.18/0.46 $false),
% 0.18/0.46 inference(forward_subsumption_resolution,[status(thm)],[f54,f11])).
% 0.18/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.50 % Elapsed time: 0.040456 seconds
% 0.18/0.50 % CPU time: 0.033633 seconds
% 0.18/0.50 % Total memory used: 269.504 KB
% 0.18/0.50 % Net memory used: 260.000 KB
%------------------------------------------------------------------------------