%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP528-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 0.08s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP528-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.56 % Computer : n010.cluster.edu
% 0.08/0.56 % Model : x86_64 x86_64
% 0.08/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56 % Memory : 8046.5625MB
% 0.08/0.56 % OS : Linux 6.8.0-71-generic
% 0.08/0.56 % CPULimit : 300
% 0.08/0.56 % WCLimit : 300
% 0.08/0.56 % DateTime : Sun Sep 20 20:16:10 UTC 2026
% 0.08/0.56 % CPUTime :
% 0.08/0.57 % Drodi V4.1.1
% 0.08/0.58 % Refutation found
% 0.08/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.58 fof(f1,axiom,(
% 0.08/0.58 (![A,B,C]: (divide(A,divide(divide(A,B),divide(C,B))) = C ))),
% 0.08/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.58 fof(f2,axiom,(
% 0.08/0.58 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.08/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.58 fof(f3,axiom,(
% 0.08/0.58 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.08/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.58 fof(f4,negated_conjecture,(
% 0.08/0.58 multiply(a,b) != multiply(b,a) ),
% 0.08/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.58 fof(f5,plain,(
% 0.08/0.58 ![X0,X1,X2]: (divide(X0,divide(divide(X0,X1),divide(X2,X1)))=X2)),
% 0.08/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.58 fof(f6,plain,(
% 0.08/0.58 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.08/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.58 fof(f7,plain,(
% 0.08/0.58 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.08/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.58 fof(f8,plain,(
% 0.08/0.58 ~multiply(a,b)=multiply(b,a)),
% 0.08/0.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.58 fof(f9,definition,(
% 0.08/0.58 sF0_fnc=multiply(a,b)),
% 0.08/0.58 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.08/0.58 fof(f10,definition,(
% 0.08/0.58 sF1_fnc=multiply(b,a)),
% 0.08/0.58 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.08/0.58 fof(f11,plain,(
% 0.08/0.58 ~sF0_fnc=sF1_fnc),
% 0.08/0.58 inference(definition_folding,[],[f8,f10,f9])).
% 0.08/0.58 fof(f12,plain,(
% 0.08/0.58 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.08/0.58 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.08/0.58 fof(f13,plain,(
% 0.08/0.58 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X1,X2)),X2))),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f5,f5])).
% 0.08/0.58 fof(f16,plain,(
% 0.08/0.58 ![X0,X1,X2,X3]: (divide(X0,divide(divide(X0,divide(divide(X1,X2),divide(X3,X2))),X3))=X1)),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f5,f5])).
% 0.08/0.58 fof(f32,plain,(
% 0.08/0.58 ![X0,X1]: (divide(X0,inverse(divide(X1,X0)))=X1)),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.08/0.58 fof(f40,plain,(
% 0.08/0.58 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.08/0.58 inference(forward_demodulation,[status(thm)],[f12,f32])).
% 0.08/0.58 fof(f47,plain,(
% 0.08/0.58 ![X0,X1,X2]: (multiply(divide(divide(X0,X1),divide(X2,X1)),X2)=X0)),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f5,f40])).
% 0.08/0.58 fof(f57,plain,(
% 0.08/0.58 ![X0,X1]: (divide(divide(X0,X1),X0)=inverse(X1))),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f7,f13])).
% 0.08/0.58 fof(f59,plain,(
% 0.08/0.58 ![X0,X1,X2,X3]: (divide(divide(X0,divide(X1,divide(X2,X3))),X2)=divide(divide(X0,X1),X3))),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.08/0.58 fof(f63,plain,(
% 0.08/0.58 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(X2,X3)))=divide(divide(X0,divide(X1,X2)),X3))),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.08/0.58 fof(f64,plain,(
% 0.08/0.58 ![X0,X1,X2]: (divide(X0,divide(X1,X1))=divide(divide(X0,inverse(X2)),X2))),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f7,f13])).
% 0.08/0.58 fof(f70,plain,(
% 0.08/0.58 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(X1,divide(X2,X0)))),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f13,f40])).
% 0.08/0.58 fof(f74,plain,(
% 0.08/0.58 ![X0,X1,X2]: (divide(X0,divide(divide(X0,divide(X1,X2)),X2))=X1)),
% 0.08/0.58 inference(backward_demodulation,[status(thm)],[f59,f16])).
% 0.08/0.58 fof(f78,plain,(
% 0.08/0.58 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(divide(X2,X3),X2)))=divide(divide(X0,X1),X3))),
% 0.08/0.58 inference(backward_demodulation,[status(thm)],[f63,f59])).
% 0.08/0.58 fof(f79,plain,(
% 0.08/0.58 ![X0,X1,X2]: (divide(X0,divide(X1,X1))=divide(multiply(X0,X2),X2))),
% 0.08/0.58 inference(forward_demodulation,[status(thm)],[f12,f64])).
% 0.08/0.58 fof(f82,plain,(
% 0.08/0.58 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.08/0.58 inference(backward_demodulation,[status(thm)],[f70,f40])).
% 0.08/0.58 fof(f88,plain,(
% 0.08/0.58 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.08/0.58 inference(forward_demodulation,[status(thm)],[f13,f74])).
% 0.08/0.58 fof(f90,plain,(
% 0.08/0.58 ![X0,X1,X2]: (divide(X0,divide(X1,inverse(X2)))=divide(divide(X0,X1),X2))),
% 0.08/0.58 inference(forward_demodulation,[status(thm)],[f57,f78])).
% 0.08/0.58 fof(f97,plain,(
% 0.08/0.58 ![X0,X1,X2]: (multiply(divide(X0,multiply(X1,divide(X2,X1))),X2)=X0)),
% 0.08/0.58 inference(backward_demodulation,[status(thm)],[f100,f47])).
% 0.08/0.58 fof(f100,plain,(
% 0.08/0.58 ![X0,X1,X2]: (divide(X0,multiply(X1,X2))=divide(divide(X0,X1),X2))),
% 0.08/0.58 inference(forward_demodulation,[status(thm)],[f12,f90])).
% 0.08/0.58 fof(f102,plain,(
% 0.08/0.58 ![X0,X1]: (X0=divide(multiply(X0,X1),X1))),
% 0.08/0.58 inference(backward_demodulation,[status(thm)],[f82,f79])).
% 0.08/0.58 fof(f113,plain,(
% 0.08/0.58 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.08/0.58 inference(forward_demodulation,[status(thm)],[f40,f97])).
% 0.08/0.58 fof(f226,plain,(
% 0.08/0.58 b=divide(sF1_fnc,a)),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f10,f102])).
% 0.08/0.58 fof(f281,plain,(
% 0.08/0.58 divide(sF1_fnc,b)=a),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f226,f88])).
% 0.08/0.58 fof(f372,plain,(
% 0.08/0.58 multiply(a,b)=sF1_fnc),
% 0.08/0.58 inference(paramodulation,[status(thm)],[f281,f113])).
% 0.08/0.58 fof(f391,plain,(
% 0.08/0.58 sF0_fnc=sF1_fnc),
% 0.08/0.58 inference(forward_demodulation,[status(thm)],[f9,f372])).
% 0.08/0.58 fof(f392,plain,(
% 0.08/0.58 $false),
% 0.08/0.58 inference(forward_subsumption_resolution,[status(thm)],[f391,f11])).
% 0.08/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.60 % Elapsed time: 0.036293 seconds
% 0.08/0.60 % CPU time: 0.087031 seconds
% 0.08/0.60 % Total memory used: 3.478 MB
% 0.08/0.60 % Net memory used: 3.332 MB
%------------------------------------------------------------------------------