%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP536-1 : 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 12:36:47 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP536-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.39 % Computer : n010.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 20 20:16:25 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,axiom,(
% 0.10/0.40 (![A,B,C]: (divide(divide(A,divide(divide(A,B),C)),B) = C ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,axiom,(
% 0.10/0.40 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,axiom,(
% 0.10/0.40 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f4,axiom,(
% 0.10/0.40 (![A]: (identity = divide(A,A) ))),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f5,negated_conjecture,(
% 0.10/0.40 multiply(a,b) != multiply(b,a) ),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f6,plain,(
% 0.10/0.40 ![X0,X1,X2]: (divide(divide(X0,divide(divide(X0,X1),X2)),X1)=X2)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f7,plain,(
% 0.10/0.40 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.40 fof(f8,plain,(
% 0.10/0.40 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f9,plain,(
% 0.10/0.40 ![X0]: (identity=divide(X0,X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.40 fof(f10,plain,(
% 0.10/0.40 ~multiply(a,b)=multiply(b,a)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f11,definition,(
% 0.10/0.40 sF0_fnc=multiply(a,b)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.10/0.40 fof(f12,definition,(
% 0.10/0.40 sF1_fnc=multiply(b,a)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.10/0.40 fof(f13,plain,(
% 0.10/0.40 ~sF0_fnc=sF1_fnc),
% 0.10/0.40 inference(definition_folding,[],[f10,f12,f11])).
% 0.10/0.40 fof(f14,plain,(
% 0.10/0.40 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.10/0.40 fof(f15,plain,(
% 0.10/0.40 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f9,f8])).
% 0.10/0.40 fof(f16,plain,(
% 0.10/0.40 ![X0]: (identity=multiply(inverse(X0),X0))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f14,f9])).
% 0.10/0.40 fof(f18,plain,(
% 0.10/0.40 ![X0,X1,X2]: (multiply(divide(X0,divide(divide(X0,inverse(X1)),X2)),X1)=X2)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f14,f6])).
% 0.10/0.40 fof(f24,plain,(
% 0.10/0.40 ![X0,X1]: (divide(divide(X0,divide(identity,X1)),X0)=X1)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.10/0.40 fof(f26,plain,(
% 0.10/0.40 ![X0,X1,X2]: (multiply(divide(X0,divide(multiply(X0,X1),X2)),X1)=X2)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f14,f18])).
% 0.10/0.40 fof(f28,plain,(
% 0.10/0.40 ![X0,X1]: (divide(divide(X0,inverse(X1)),X0)=X1)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f15,f24])).
% 0.10/0.40 fof(f29,plain,(
% 0.10/0.40 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f14,f28])).
% 0.10/0.40 fof(f32,plain,(
% 0.10/0.40 ![X0]: (divide(identity,inverse(X0))=X0)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f16,f29])).
% 0.10/0.40 fof(f33,plain,(
% 0.10/0.40 divide(sF1_fnc,b)=a),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f12,f29])).
% 0.10/0.40 fof(f34,plain,(
% 0.10/0.40 divide(sF0_fnc,a)=b),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f11,f29])).
% 0.10/0.40 fof(f37,plain,(
% 0.10/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f14,f32])).
% 0.10/0.40 fof(f38,plain,(
% 0.10/0.40 ![X0]: (divide(X0,identity)=X0)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f37,f29])).
% 0.10/0.40 fof(f41,plain,(
% 0.10/0.40 ![X0,X1]: (X0=divide(X1,divide(divide(X1,identity),X0)))),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f6,f38])).
% 0.10/0.40 fof(f48,plain,(
% 0.10/0.40 ![X0,X1]: (X0=divide(X1,divide(X1,X0)))),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f38,f41])).
% 0.10/0.40 fof(f55,plain,(
% 0.10/0.40 b=divide(sF1_fnc,a)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f33,f48])).
% 0.10/0.40 fof(f102,plain,(
% 0.10/0.40 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f29,f26])).
% 0.10/0.40 fof(f183,plain,(
% 0.10/0.40 multiply(b,a)=sF0_fnc),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f34,f102])).
% 0.10/0.40 fof(f184,plain,(
% 0.10/0.40 multiply(b,a)=sF1_fnc),
% 0.10/0.40 inference(paramodulation,[status(thm)],[f55,f102])).
% 0.10/0.40 fof(f194,plain,(
% 0.10/0.40 sF0_fnc=sF1_fnc),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f183,f184])).
% 0.10/0.40 fof(f195,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f194,f13])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.023103 seconds
% 0.10/0.42 % CPU time: 0.041016 seconds
% 0.10/0.42 % Total memory used: 1.728 MB
% 0.10/0.42 % Net memory used: 1.713 MB
%------------------------------------------------------------------------------