%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:35:24 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.55 % Computer : n009.cluster.edu
% 0.07/0.55 % Model : x86_64 x86_64
% 0.07/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.55 % Memory : 8046.5625MB
% 0.07/0.55 % OS : Linux 6.8.0-71-generic
% 0.07/0.55 % CPULimit : 300
% 0.07/0.55 % WCLimit : 300
% 0.07/0.55 % DateTime : Sun Sep 20 19:52:27 UTC 2026
% 0.07/0.55 % CPUTime :
% 0.11/0.56 % Drodi V4.1.1
% 0.11/0.58 % Refutation found
% 0.11/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.58 fof(f1,axiom,(
% 0.11/0.58 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.58 fof(f2,axiom,(
% 0.11/0.58 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.11/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.58 fof(f3,axiom,(
% 0.11/0.58 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.11/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.58 fof(f4,axiom,(
% 0.11/0.58 (![X]: (multiply(X,identity) = X ))),
% 0.11/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.58 fof(f6,hypothesis,(
% 0.11/0.58 (![X]: (multiply(X,X) = identity ))),
% 0.11/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.58 fof(f7,hypothesis,(
% 0.11/0.58 multiply(a,b) = c ),
% 0.11/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.58 fof(f8,negated_conjecture,(
% 0.11/0.58 multiply(b,a) != c ),
% 0.11/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.58 fof(f9,plain,(
% 0.11/0.58 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.58 fof(f10,plain,(
% 0.11/0.58 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.58 fof(f11,plain,(
% 0.11/0.58 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.11/0.58 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.58 fof(f12,plain,(
% 0.11/0.58 ![X0]: (multiply(X0,identity)=X0)),
% 0.11/0.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.58 fof(f14,plain,(
% 0.11/0.58 ![X0]: (multiply(X0,X0)=identity)),
% 0.11/0.58 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.58 fof(f15,plain,(
% 0.11/0.58 multiply(a,b)=c),
% 0.11/0.58 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.58 fof(f16,plain,(
% 0.11/0.58 ~multiply(b,a)=c),
% 0.11/0.58 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.58 fof(f22,plain,(
% 0.11/0.58 ![X0]: (multiply(c,X0)=multiply(a,multiply(b,X0)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f15,f11])).
% 0.11/0.58 fof(f27,plain,(
% 0.11/0.58 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f10,f11])).
% 0.11/0.58 fof(f28,plain,(
% 0.11/0.58 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f9,f27])).
% 0.11/0.58 fof(f32,plain,(
% 0.11/0.58 ![X0]: (multiply(b,X0)=multiply(inverse(a),multiply(c,X0)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f22,f28])).
% 0.11/0.58 fof(f61,plain,(
% 0.11/0.58 multiply(c,b)=multiply(a,identity)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f14,f22])).
% 0.11/0.58 fof(f62,plain,(
% 0.11/0.58 ![X0]: (X0=multiply(inverse(X0),identity))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f14,f28])).
% 0.11/0.58 fof(f63,plain,(
% 0.11/0.58 ![X0,X1]: (multiply(identity,X0)=multiply(X1,multiply(X1,X0)))),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f14,f11])).
% 0.11/0.58 fof(f65,plain,(
% 0.11/0.58 multiply(c,b)=a),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f12,f61])).
% 0.11/0.58 fof(f73,plain,(
% 0.11/0.58 ![X0]: (multiply(b,X0)=multiply(a,multiply(c,X0)))),
% 0.11/0.58 inference(backward_demodulation,[status(thm)],[f76,f32])).
% 0.11/0.58 fof(f76,plain,(
% 0.11/0.58 ![X0]: (X0=inverse(X0))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f12,f62])).
% 0.11/0.58 fof(f77,plain,(
% 0.11/0.58 ![X0,X1]: (X0=multiply(X1,multiply(X1,X0)))),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f9,f63])).
% 0.11/0.58 fof(f152,plain,(
% 0.11/0.58 b=multiply(c,a)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f65,f77])).
% 0.11/0.58 fof(f229,plain,(
% 0.11/0.58 multiply(b,a)=multiply(a,b)),
% 0.11/0.58 inference(paramodulation,[status(thm)],[f152,f73])).
% 0.11/0.58 fof(f232,plain,(
% 0.11/0.58 multiply(b,a)=c),
% 0.11/0.58 inference(forward_demodulation,[status(thm)],[f15,f229])).
% 0.11/0.58 fof(f233,plain,(
% 0.11/0.58 $false),
% 0.11/0.58 inference(forward_subsumption_resolution,[status(thm)],[f232,f16])).
% 0.11/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.59 % Elapsed time: 0.032286 seconds
% 0.11/0.59 % CPU time: 0.044785 seconds
% 0.11/0.59 % Total memory used: 1.365 MB
% 0.11/0.59 % Net memory used: 1.345 MB
%------------------------------------------------------------------------------