%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP548-1 : 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 : n016.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 0.07s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP548-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n016.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:21:07 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.37 % Refutation found
% 0.07/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.37 fof(f1,axiom,(
% 0.07/0.37 (![A,B,C]: (divide(divide(identity,divide(A,B)),divide(divide(B,C),A)) = C ))),
% 0.07/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f2,axiom,(
% 0.07/0.37 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.07/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f3,axiom,(
% 0.07/0.37 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.07/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f4,axiom,(
% 0.07/0.37 (![A]: (identity = divide(A,A) ))),
% 0.07/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f5,negated_conjecture,(
% 0.07/0.37 multiply(a,b) != multiply(b,a) ),
% 0.07/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.37 fof(f6,plain,(
% 0.07/0.37 ![X0,X1,X2]: (divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0))=X2)),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.07/0.37 fof(f7,plain,(
% 0.07/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/0.37 fof(f8,plain,(
% 0.07/0.37 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.07/0.37 fof(f9,plain,(
% 0.07/0.37 ![X0]: (identity=divide(X0,X0))),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.07/0.37 fof(f10,plain,(
% 0.07/0.37 ~multiply(a,b)=multiply(b,a)),
% 0.07/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/0.37 fof(f11,definition,(
% 0.07/0.37 sF0_fnc=multiply(a,b)),
% 0.07/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.07/0.37 fof(f12,definition,(
% 0.07/0.37 sF1_fnc=multiply(b,a)),
% 0.07/0.37 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.07/0.37 fof(f13,plain,(
% 0.07/0.37 ~sF0_fnc=sF1_fnc),
% 0.07/0.37 inference(definition_folding,[],[f10,f12,f11])).
% 0.07/0.37 fof(f14,plain,(
% 0.07/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),divide(divide(X1,X2),X0))=X2)),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.07/0.37 fof(f15,plain,(
% 0.07/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.07/0.37 fof(f19,plain,(
% 0.07/0.37 inverse(identity)=identity),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f9,f8])).
% 0.07/0.37 fof(f23,plain,(
% 0.07/0.37 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f19,f15])).
% 0.07/0.37 fof(f39,plain,(
% 0.07/0.37 ![X0,X1]: (divide(inverse(inverse(X0)),divide(divide(X0,X1),identity))=X1)),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.07/0.37 fof(f41,plain,(
% 0.07/0.37 ![X0,X1,X2]: (divide(inverse(multiply(X0,X1)),divide(divide(inverse(X1),X2),X0))=X2)),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.07/0.37 fof(f42,plain,(
% 0.07/0.37 ![X0,X1]: (divide(inverse(identity),divide(divide(X0,X1),X0))=X1)),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.07/0.37 fof(f45,plain,(
% 0.07/0.37 ![X0,X1]: (divide(inverse(divide(divide(X0,X1),X0)),identity)=X1)),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.07/0.37 fof(f49,plain,(
% 0.07/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,X1)),divide(multiply(X1,X2),X0))=inverse(X2))),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.07/0.37 fof(f50,plain,(
% 0.07/0.37 ![X0,X1]: (divide(inverse(divide(X0,X1)),divide(identity,X0))=X1)),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.07/0.37 fof(f52,plain,(
% 0.07/0.37 ![X0,X1]: (divide(inverse(inverse(X0)),multiply(divide(X0,X1),identity))=X1)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f23,f39])).
% 0.07/0.37 fof(f54,plain,(
% 0.07/0.37 ![X0,X1]: (divide(identity,divide(divide(X0,X1),X0))=X1)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f19,f42])).
% 0.07/0.37 fof(f55,plain,(
% 0.07/0.37 ![X0,X1]: (inverse(divide(divide(X0,X1),X0))=X1)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f8,f54])).
% 0.07/0.37 fof(f57,plain,(
% 0.07/0.37 ![X0,X1]: (multiply(inverse(divide(divide(X0,X1),X0)),identity)=X1)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f23,f45])).
% 0.07/0.37 fof(f59,plain,(
% 0.07/0.37 ![X0,X1]: (divide(inverse(inverse(X0)),divide(X0,X1))=X1)),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f61,f52])).
% 0.07/0.37 fof(f61,plain,(
% 0.07/0.37 ![X0]: (multiply(X0,identity)=X0)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f55,f57])).
% 0.07/0.37 fof(f66,plain,(
% 0.07/0.37 ![X0,X1]: (divide(inverse(divide(X0,X1)),inverse(X0))=X1)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f8,f50])).
% 0.07/0.37 fof(f67,plain,(
% 0.07/0.37 ![X0,X1]: (multiply(inverse(divide(X0,X1)),X0)=X1)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f15,f66])).
% 0.07/0.37 fof(f83,plain,(
% 0.07/0.37 ![X0]: (inverse(divide(identity,X0))=X0)),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f61,f67])).
% 0.07/0.37 fof(f84,plain,(
% 0.07/0.37 ![X0,X1,X2]: (multiply(inverse(X0),inverse(divide(X1,X2)))=divide(divide(X2,X0),X1))),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f14,f67])).
% 0.07/0.37 fof(f91,plain,(
% 0.07/0.37 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f92,f59])).
% 0.07/0.37 fof(f92,plain,(
% 0.07/0.37 ![X0]: (inverse(inverse(X0))=X0)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f8,f83])).
% 0.07/0.37 fof(f101,plain,(
% 0.07/0.37 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f92,f15])).
% 0.07/0.37 fof(f102,plain,(
% 0.07/0.37 ![X0,X1,X2]: (divide(inverse(X0),divide(X1,X2))=divide(divide(X2,X0),X1))),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f101,f84])).
% 0.07/0.37 fof(f105,plain,(
% 0.07/0.37 ![X0,X1,X2]: (divide(divide(X0,divide(X0,X1)),multiply(X1,X2))=inverse(X2))),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f102,f49])).
% 0.07/0.37 fof(f108,plain,(
% 0.07/0.37 ![X0,X1,X2]: (divide(divide(X0,multiply(X0,X1)),divide(inverse(X1),X2))=X2)),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f102,f41])).
% 0.07/0.37 fof(f111,plain,(
% 0.07/0.37 ![X0,X1]: (divide(X0,multiply(X0,X1))=inverse(X1))),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f91,f105])).
% 0.07/0.37 fof(f115,plain,(
% 0.07/0.37 ![X0,X1]: (divide(inverse(X0),divide(inverse(X0),X1))=X1)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f111,f108])).
% 0.07/0.37 fof(f116,plain,(
% 0.07/0.37 ![X0,X1]: (divide(divide(X0,X1),inverse(X1))=X0)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f102,f115])).
% 0.07/0.37 fof(f117,plain,(
% 0.07/0.37 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f15,f116])).
% 0.07/0.37 fof(f124,plain,(
% 0.07/0.37 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f15,f117])).
% 0.07/0.37 fof(f127,plain,(
% 0.07/0.37 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f101,f124])).
% 0.07/0.37 fof(f135,plain,(
% 0.07/0.37 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f91,f117])).
% 0.07/0.37 fof(f246,plain,(
% 0.07/0.37 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.07/0.37 inference(paramodulation,[status(thm)],[f127,f135])).
% 0.07/0.37 fof(f252,plain,(
% 0.07/0.37 sF1_fnc=multiply(a,b)),
% 0.07/0.37 inference(backward_demodulation,[status(thm)],[f246,f12])).
% 0.07/0.37 fof(f261,plain,(
% 0.07/0.37 sF1_fnc=sF0_fnc),
% 0.07/0.37 inference(forward_demodulation,[status(thm)],[f11,f252])).
% 0.07/0.37 fof(f262,plain,(
% 0.07/0.37 $false),
% 0.07/0.37 inference(forward_subsumption_resolution,[status(thm)],[f261,f13])).
% 0.07/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.39 % Elapsed time: 0.026600 seconds
% 0.07/0.39 % CPU time: 0.050251 seconds
% 0.07/0.39 % Total memory used: 2.263 MB
% 0.07/0.39 % Net memory used: 2.250 MB
%------------------------------------------------------------------------------