%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP462-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 0.09s 5.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP462-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.53 % Computer : n002.cluster.edu
% 0.09/5.53 % Model : x86_64 x86_64
% 0.09/5.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.53 % Memory : 8046.5625MB
% 0.09/5.53 % OS : Linux 6.8.0-71-generic
% 0.09/5.53 % CPULimit : 300
% 0.09/5.53 % WCLimit : 300
% 0.09/5.53 % DateTime : Sun Sep 20 20:16:40 UTC 2026
% 0.09/5.53 % CPUTime :
% 0.09/5.54 % Drodi V4.1.1
% 0.09/5.55 % Refutation found
% 0.09/5.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.55 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.55 fof(f1,axiom,(
% 0.09/5.55 (![A,B,C]: (divide(A,divide(divide(divide(identity,B),C),divide(divide(divide(A,A),A),C))) = B ))),
% 0.09/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.55 fof(f2,axiom,(
% 0.09/5.55 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.09/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.55 fof(f3,axiom,(
% 0.09/5.55 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.09/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.55 fof(f4,axiom,(
% 0.09/5.55 (![A]: (identity = divide(A,A) ))),
% 0.09/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.55 fof(f5,negated_conjecture,(
% 0.09/5.55 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.09/5.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.55 fof(f6,plain,(
% 0.09/5.55 ![X0,X1,X2]: (divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2)))=X1)),
% 0.09/5.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/5.55 fof(f7,plain,(
% 0.09/5.55 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.09/5.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/5.55 fof(f8,plain,(
% 0.09/5.55 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.09/5.55 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/5.55 fof(f9,plain,(
% 0.09/5.55 ![X0]: (identity=divide(X0,X0))),
% 0.09/5.55 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.55 fof(f10,plain,(
% 0.09/5.55 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.09/5.55 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/5.55 fof(f11,definition,(
% 0.09/5.55 sF1_fnc=multiply(a3,b3)),
% 0.09/5.55 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/5.55 fof(f12,definition,(
% 0.09/5.55 sF0_fnc=multiply(sF1_fnc,c3)),
% 0.09/5.55 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/5.55 fof(f13,definition,(
% 0.09/5.55 sF3_fnc=multiply(b3,c3)),
% 0.09/5.55 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.09/5.55 fof(f14,definition,(
% 0.09/5.55 sF2_fnc=multiply(a3,sF3_fnc)),
% 0.09/5.55 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.09/5.55 fof(f15,plain,(
% 0.09/5.55 ~sF0_fnc=sF2_fnc),
% 0.09/5.55 inference(definition_folding,[],[f10,f14,f13,f12,f11])).
% 0.09/5.55 fof(f16,plain,(
% 0.09/5.55 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/5.55 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/5.55 fof(f17,plain,(
% 0.09/5.55 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(divide(divide(X0,X0),X0),X2)))=X1)),
% 0.09/5.55 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.09/5.55 fof(f18,plain,(
% 0.09/5.55 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(divide(identity,X0),X2)))=X1)),
% 0.09/5.55 inference(forward_demodulation,[status(thm)],[f9,f17])).
% 0.09/5.55 fof(f19,plain,(
% 0.09/5.55 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.09/5.55 inference(forward_demodulation,[status(thm)],[f8,f18])).
% 0.09/5.55 fof(f20,plain,(
% 0.09/5.55 inverse(identity)=identity),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.09/5.55 fof(f22,plain,(
% 0.09/5.55 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.09/5.55 fof(f24,plain,(
% 0.09/5.55 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f20,f16])).
% 0.09/5.55 fof(f39,plain,(
% 0.09/5.55 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,multiply(identity,X1)))),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f22,f16])).
% 0.09/5.55 fof(f55,plain,(
% 0.09/5.55 ![X0]: (divide(X0,identity)=X0)),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f9,f19])).
% 0.09/5.55 fof(f56,plain,(
% 0.09/5.55 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(inverse(inverse(X3)),X2)))))=X3)),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f19,f19])).
% 0.09/5.55 fof(f57,plain,(
% 0.09/5.55 ![X0,X1,X2]: (divide(X0,divide(multiply(inverse(X1),X2),divide(inverse(X0),inverse(X2))))=X1)),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f16,f19])).
% 0.09/5.55 fof(f58,plain,(
% 0.09/5.55 ![X0,X1]: (divide(X0,divide(identity,divide(inverse(X0),inverse(X1))))=X1)),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f9,f19])).
% 0.09/5.55 fof(f63,plain,(
% 0.09/5.55 ![X0,X1]: (divide(X0,divide(divide(inverse(X1),inverse(X0)),identity))=X1)),
% 0.09/5.55 inference(paramodulation,[status(thm)],[f9,f19])).
% 0.09/5.55 fof(f70,plain,(
% 0.09/5.55 ![X0]: (multiply(X0,identity)=X0)),
% 0.09/5.56 inference(backward_demodulation,[status(thm)],[f55,f24])).
% 0.09/5.56 fof(f71,plain,(
% 0.09/5.56 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(multiply(identity,X3),X2)))))=X3)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f22,f56])).
% 0.09/5.56 fof(f72,plain,(
% 0.09/5.56 ![X0,X1,X2]: (divide(X0,divide(multiply(inverse(X1),X2),multiply(inverse(X0),X2)))=X1)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f16,f57])).
% 0.09/5.56 fof(f73,plain,(
% 0.09/5.56 ![X0,X1]: (divide(X0,inverse(divide(inverse(X0),inverse(X1))))=X1)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f8,f58])).
% 0.09/5.56 fof(f74,plain,(
% 0.09/5.56 ![X0,X1]: (multiply(X0,divide(inverse(X0),inverse(X1)))=X1)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f16,f73])).
% 0.09/5.56 fof(f75,plain,(
% 0.09/5.56 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f16,f74])).
% 0.09/5.56 fof(f79,plain,(
% 0.09/5.56 ![X0,X1]: (divide(X0,divide(inverse(X1),inverse(X0)))=X1)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f55,f63])).
% 0.09/5.56 fof(f80,plain,(
% 0.09/5.56 ![X0,X1]: (divide(X0,multiply(inverse(X1),X0))=X1)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f16,f79])).
% 0.09/5.56 fof(f103,plain,(
% 0.09/5.56 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f70,f75])).
% 0.09/5.56 fof(f115,plain,(
% 0.09/5.56 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f103,f75])).
% 0.09/5.56 fof(f116,plain,(
% 0.09/5.56 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/5.56 inference(backward_demodulation,[status(thm)],[f117,f22])).
% 0.09/5.56 fof(f117,plain,(
% 0.09/5.56 ![X0]: (X0=inverse(inverse(X0)))),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f70,f115])).
% 0.09/5.56 fof(f126,plain,(
% 0.09/5.56 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X3,X2)))))=X3)),
% 0.09/5.56 inference(backward_demodulation,[status(thm)],[f116,f71])).
% 0.09/5.56 fof(f127,plain,(
% 0.09/5.56 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.09/5.56 inference(backward_demodulation,[status(thm)],[f116,f39])).
% 0.09/5.56 fof(f166,plain,(
% 0.09/5.56 ![X0,X1]: (divide(multiply(inverse(inverse(X0)),X1),X1)=X0)),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f75,f80])).
% 0.09/5.56 fof(f168,plain,(
% 0.09/5.56 ![X0,X1]: (divide(X0,multiply(X1,X0))=inverse(X1))),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f117,f80])).
% 0.09/5.56 fof(f173,plain,(
% 0.09/5.56 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f117,f166])).
% 0.09/5.56 fof(f179,plain,(
% 0.09/5.56 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f16,f173])).
% 0.09/5.56 fof(f183,plain,(
% 0.09/5.56 divide(sF0_fnc,c3)=sF1_fnc),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f12,f173])).
% 0.09/5.56 fof(f192,plain,(
% 0.09/5.56 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f127,f179])).
% 0.09/5.56 fof(f198,plain,(
% 0.09/5.56 ![X0,X1,X2]: (divide(X0,divide(X1,multiply(inverse(X0),multiply(inverse(inverse(X2)),X1))))=X2)),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f75,f72])).
% 0.09/5.56 fof(f213,plain,(
% 0.09/5.56 ![X0,X1,X2]: (divide(X0,divide(X1,multiply(inverse(X0),multiply(X2,X1))))=X2)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f117,f198])).
% 0.09/5.56 fof(f261,plain,(
% 0.09/5.56 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f192,f168])).
% 0.09/5.56 fof(f267,plain,(
% 0.09/5.56 divide(b3,sF1_fnc)=inverse(a3)),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f11,f168])).
% 0.09/5.56 fof(f411,plain,(
% 0.09/5.56 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),divide(X3,multiply(X2,inverse(X1)))))))=X3)),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f168,f126])).
% 0.09/5.56 fof(f451,plain,(
% 0.09/5.56 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(inverse(X2),divide(X3,divide(X2,X1))))))=X3)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f127,f411])).
% 0.09/5.56 fof(f495,plain,(
% 0.09/5.56 ![X0,X1]: (divide(inverse(X0),X1)=inverse(multiply(X1,X0)))),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f16,f261])).
% 0.09/5.56 fof(f498,plain,(
% 0.09/5.56 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(X0,divide(X2,X1)))),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f261,f127])).
% 0.09/5.56 fof(f732,plain,(
% 0.09/5.56 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=divide(X0,divide(inverse(X2),X1)))),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f495,f16])).
% 0.09/5.56 fof(f763,plain,(
% 0.09/5.56 ![X0,X1,X2,X3]: (divide(X0,divide(X1,multiply(inverse(X0),multiply(divide(X2,divide(X3,X1)),X3))))=X2)),
% 0.09/5.56 inference(backward_demodulation,[status(thm)],[f732,f451])).
% 0.09/5.56 fof(f847,plain,(
% 0.09/5.56 ![X0,X1,X2]: (divide(X0,divide(X1,multiply(inverse(X0),X2)))=divide(X2,X1))),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f192,f213])).
% 0.09/5.56 fof(f886,plain,(
% 0.09/5.56 ![X0,X1,X2]: (divide(multiply(divide(X0,divide(X1,X2)),X1),X2)=X0)),
% 0.09/5.56 inference(backward_demodulation,[status(thm)],[f847,f763])).
% 0.09/5.56 fof(f921,plain,(
% 0.09/5.56 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=multiply(X0,divide(X1,X2)))),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f173,f886])).
% 0.09/5.56 fof(f971,plain,(
% 0.09/5.56 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=divide(X0,divide(X2,X1)))),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f498,f921])).
% 0.09/5.56 fof(f1114,plain,(
% 0.09/5.56 ![X0]: (divide(sF3_fnc,X0)=divide(b3,divide(X0,c3)))),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f13,f971])).
% 0.09/5.56 fof(f1256,plain,(
% 0.09/5.56 divide(sF3_fnc,sF0_fnc)=divide(b3,sF1_fnc)),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f183,f1114])).
% 0.09/5.56 fof(f1264,plain,(
% 0.09/5.56 divide(sF3_fnc,sF0_fnc)=inverse(a3)),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f267,f1256])).
% 0.09/5.56 fof(f1281,plain,(
% 0.09/5.56 divide(sF0_fnc,sF3_fnc)=inverse(inverse(a3))),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f1264,f261])).
% 0.09/5.56 fof(f1286,plain,(
% 0.09/5.56 divide(sF0_fnc,sF3_fnc)=a3),
% 0.09/5.56 inference(forward_demodulation,[status(thm)],[f117,f1281])).
% 0.09/5.56 fof(f1290,plain,(
% 0.09/5.56 multiply(a3,sF3_fnc)=sF0_fnc),
% 0.09/5.56 inference(paramodulation,[status(thm)],[f1286,f192])).
% 0.09/5.56 fof(f1293,plain,(
% 0.09/5.56 sF2_fnc=sF0_fnc),
% 0.09/5.56 inference(backward_demodulation,[status(thm)],[f1290,f14])).
% 0.09/5.56 fof(f1296,plain,(
% 0.09/5.56 $false),
% 0.09/5.56 inference(forward_subsumption_resolution,[status(thm)],[f1293,f15])).
% 0.09/5.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/5.57 % Elapsed time: 0.034004 seconds
% 0.09/5.57 % CPU time: 0.127604 seconds
% 0.09/5.57 % Total memory used: 5.222 MB
% 0.09/5.57 % Net memory used: 5.035 MB
%------------------------------------------------------------------------------