%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP549-1 : 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 : n019.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 12:36:48 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP549-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n019.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:16:35 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f2,axiom,(
% 0.08/0.38 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f3,axiom,(
% 0.08/0.38 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f4,axiom,(
% 0.08/0.38 (![A]: (identity = divide(A,A) ))),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f5,negated_conjecture,(
% 0.08/0.38 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.08/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f7,plain,(
% 0.08/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.38 fof(f8,plain,(
% 0.08/0.38 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.38 fof(f9,plain,(
% 0.08/0.38 ![X0]: (identity=divide(X0,X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.38 fof(f10,plain,(
% 0.08/0.38 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.38 fof(f11,definition,(
% 0.08/0.38 sF1_fnc=inverse(a1)),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.08/0.38 fof(f12,definition,(
% 0.08/0.38 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.08/0.38 fof(f13,definition,(
% 0.08/0.38 sF3_fnc=inverse(b1)),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.08/0.38 fof(f14,definition,(
% 0.08/0.38 sF2_fnc=multiply(sF3_fnc,b1)),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.08/0.38 fof(f15,plain,(
% 0.08/0.38 ~sF0_fnc=sF2_fnc),
% 0.08/0.38 inference(definition_folding,[],[f10,f14,f13,f12,f11])).
% 0.08/0.38 fof(f16,plain,(
% 0.08/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.08/0.38 fof(f23,plain,(
% 0.08/0.38 ![X0]: (multiply(X0,b1)=divide(X0,sF3_fnc))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f13,f16])).
% 0.08/0.38 fof(f24,plain,(
% 0.08/0.38 ![X0]: (multiply(X0,a1)=divide(X0,sF1_fnc))),
% 0.08/0.38 inference(paramodulation,[status(thm)],[f11,f16])).
% 0.08/0.38 fof(f27,plain,(
% 0.08/0.38 sF2_fnc=divide(sF3_fnc,sF3_fnc)),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f23,f14])).
% 0.08/0.38 fof(f28,plain,(
% 0.08/0.38 sF0_fnc=divide(sF1_fnc,sF1_fnc)),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f24,f12])).
% 0.08/0.38 fof(f29,plain,(
% 0.08/0.38 ~sF0_fnc=identity),
% 0.08/0.38 inference(backward_demodulation,[status(thm)],[f30,f15])).
% 0.08/0.38 fof(f30,plain,(
% 0.08/0.38 sF2_fnc=identity),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f9,f27])).
% 0.08/0.38 fof(f31,plain,(
% 0.08/0.38 sF0_fnc=identity),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f9,f28])).
% 0.08/0.38 fof(f32,plain,(
% 0.08/0.38 ~identity=identity),
% 0.08/0.38 inference(forward_demodulation,[status(thm)],[f31,f29])).
% 0.08/0.38 fof(f33,plain,(
% 0.08/0.38 $false),
% 0.08/0.38 inference(trivial_equality_resolution,[status(thm)],[f32])).
% 0.08/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.40 % Elapsed time: 0.028942 seconds
% 0.08/0.40 % CPU time: 0.037694 seconds
% 0.08/0.40 % Total memory used: 1.487 MB
% 0.08/0.40 % Net memory used: 1.454 MB
%------------------------------------------------------------------------------