%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP533-1 : 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 : n014.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 : GRP533-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:16:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % 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(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,axiom,(
% 0.09/0.37 (![A]: (identity = divide(A,A) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,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(f7,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(f8,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(f9,plain,(
% 0.09/0.37 ![X0]: (identity=divide(X0,X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f11,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(f12,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(f13,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(f14,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(f15,plain,(
% 0.09/0.37 ~sF0_fnc=sF2_fnc),
% 0.09/0.37 inference(definition_folding,[],[f10,f14,f13,f12,f11])).
% 0.09/0.37 fof(f16,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.09/0.37 fof(f19,plain,(
% 0.09/0.37 ![X0]: (multiply(X0,b1)=divide(X0,sF3_fnc))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f13,f16])).
% 0.09/0.37 fof(f20,plain,(
% 0.09/0.37 ![X0]: (multiply(X0,a1)=divide(X0,sF1_fnc))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f11,f16])).
% 0.09/0.37 fof(f46,plain,(
% 0.09/0.37 identity=multiply(sF1_fnc,a1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f20,f9])).
% 0.09/0.37 fof(f47,plain,(
% 0.09/0.37 identity=multiply(sF3_fnc,b1)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f19,f9])).
% 0.09/0.37 fof(f54,plain,(
% 0.09/0.37 sF0_fnc=identity),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f46,f12])).
% 0.09/0.37 fof(f55,plain,(
% 0.09/0.37 sF2_fnc=identity),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f47,f14])).
% 0.09/0.37 fof(f56,plain,(
% 0.09/0.37 ~identity=sF2_fnc),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f54,f15])).
% 0.09/0.37 fof(f57,plain,(
% 0.09/0.37 ~identity=identity),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f55,f56])).
% 0.09/0.37 fof(f58,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(trivial_equality_resolution,[status(thm)],[f57])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.39 % Elapsed time: 0.023426 seconds
% 0.09/0.39 % CPU time: 0.029609 seconds
% 0.09/0.39 % Total memory used: 635.936 KB
% 0.09/0.39 % Net memory used: 582.944 KB
%------------------------------------------------------------------------------