%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP540-1 : 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 : n011.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 12:36:47 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP540-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 20:16:10 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (![A,B,C]: (divide(divide(A,B),divide(divide(A,C),B)) = C ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f2,axiom,(
% 0.11/0.38 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f3,axiom,(
% 0.11/0.38 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (![A]: (identity = divide(A,A) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f5,negated_conjecture,(
% 0.11/0.38 multiply(a,b) != multiply(b,a) ),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f6,plain,(
% 0.11/0.38 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X0,X2),X1))=X2)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.38 fof(f7,plain,(
% 0.11/0.38 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.38 fof(f8,plain,(
% 0.11/0.38 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.38 fof(f9,plain,(
% 0.11/0.38 ![X0]: (identity=divide(X0,X0))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.38 fof(f10,plain,(
% 0.11/0.38 ~multiply(a,b)=multiply(b,a)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f11,definition,(
% 0.11/0.38 sF0_fnc=multiply(a,b)),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.11/0.38 fof(f12,definition,(
% 0.11/0.38 sF1_fnc=multiply(b,a)),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.11/0.38 fof(f13,plain,(
% 0.11/0.38 ~sF0_fnc=sF1_fnc),
% 0.11/0.38 inference(definition_folding,[],[f10,f12,f11])).
% 0.11/0.38 fof(f14,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.11/0.38 fof(f15,plain,(
% 0.11/0.38 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f9,f8])).
% 0.11/0.38 fof(f20,plain,(
% 0.11/0.38 ![X0,X1]: (divide(identity,divide(divide(X0,X1),X0))=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.11/0.38 fof(f22,plain,(
% 0.11/0.38 ![X0,X1]: (divide(divide(X0,divide(X0,X1)),identity)=X1)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.11/0.38 fof(f25,plain,(
% 0.11/0.38 ![X0,X1]: (divide(divide(X0,X1),divide(identity,X1))=X0)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.11/0.38 fof(f27,plain,(
% 0.11/0.38 ![X0,X1]: (inverse(divide(divide(X0,X1),X0))=X1)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f15,f20])).
% 0.11/0.38 fof(f29,plain,(
% 0.11/0.38 ![X0,X1]: (divide(divide(X0,X1),inverse(X1))=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f15,f25])).
% 0.11/0.38 fof(f30,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f14,f29])).
% 0.11/0.38 fof(f36,plain,(
% 0.11/0.38 ![X0]: (inverse(divide(inverse(X0),identity))=X0)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f15,f27])).
% 0.11/0.38 fof(f37,plain,(
% 0.11/0.38 ![X0]: (inverse(divide(identity,X0))=X0)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f9,f27])).
% 0.11/0.38 fof(f39,plain,(
% 0.11/0.38 ![X0]: (inverse(inverse(X0))=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f15,f37])).
% 0.11/0.38 fof(f52,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f39,f14])).
% 0.11/0.38 fof(f56,plain,(
% 0.11/0.38 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f14,f30])).
% 0.11/0.38 fof(f64,plain,(
% 0.11/0.38 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f52,f56])).
% 0.11/0.38 fof(f71,plain,(
% 0.11/0.38 divide(sF0_fnc,b)=a),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f11,f64])).
% 0.11/0.38 fof(f88,plain,(
% 0.11/0.38 ![X0]: (inverse(X0)=divide(inverse(X0),identity))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f36,f39])).
% 0.11/0.38 fof(f96,plain,(
% 0.11/0.38 ![X0]: (inverse(inverse(X0))=divide(X0,identity))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f39,f88])).
% 0.11/0.38 fof(f102,plain,(
% 0.11/0.38 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f105,f22])).
% 0.11/0.38 fof(f105,plain,(
% 0.11/0.38 ![X0]: (X0=divide(X0,identity))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f39,f96])).
% 0.11/0.38 fof(f193,plain,(
% 0.11/0.38 divide(sF0_fnc,a)=b),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f71,f102])).
% 0.11/0.39 fof(f223,plain,(
% 0.11/0.39 multiply(b,a)=sF0_fnc),
% 0.11/0.39 inference(paramodulation,[status(thm)],[f193,f30])).
% 0.11/0.39 fof(f224,plain,(
% 0.11/0.39 sF1_fnc=sF0_fnc),
% 0.11/0.39 inference(backward_demodulation,[status(thm)],[f223,f12])).
% 0.11/0.39 fof(f225,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f224,f13])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.026099 seconds
% 0.11/0.40 % CPU time: 0.059072 seconds
% 0.11/0.40 % Total memory used: 2.606 MB
% 0.11/0.40 % Net memory used: 2.574 MB
%------------------------------------------------------------------------------