%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP173-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 12:36:10 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP173-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:03:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f1,axiom,(
% 0.14/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f3,axiom,(
% 0.14/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 (![X,Y]: (least_upper_bound(X,Y) = least_upper_bound(Y,X) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,axiom,(
% 0.14/0.39 (![Y,Z,X]: (multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)) ))),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f16,hypothesis,(
% 0.14/0.39 least_upper_bound(identity,a) = identity ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f17,hypothesis,(
% 0.14/0.39 least_upper_bound(identity,inverse(a)) = identity ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,negated_conjecture,(
% 0.14/0.39 identity != a ),
% 0.14/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f19,plain,(
% 0.14/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.39 fof(f20,plain,(
% 0.14/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f21,plain,(
% 0.14/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.39 fof(f23,plain,(
% 0.14/0.39 ![X0,X1]: (least_upper_bound(X0,X1)=least_upper_bound(X1,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 ![X0,X1,X2]: (multiply(least_upper_bound(X0,X1),X2)=least_upper_bound(multiply(X0,X2),multiply(X1,X2)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.39 fof(f34,plain,(
% 0.14/0.39 least_upper_bound(identity,a)=identity),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.39 fof(f35,plain,(
% 0.14/0.39 least_upper_bound(identity,inverse(a))=identity),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.39 fof(f36,plain,(
% 0.14/0.39 ~identity=a),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.39 fof(f38,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f20,f21])).
% 0.14/0.39 fof(f42,plain,(
% 0.14/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f19,f38])).
% 0.14/0.39 fof(f44,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f42,f42])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f20,f42])).
% 0.14/0.39 fof(f48,plain,(
% 0.14/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f44,f45])).
% 0.14/0.39 fof(f107,plain,(
% 0.14/0.39 identity=least_upper_bound(a,identity)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f34,f23])).
% 0.14/0.39 fof(f196,plain,(
% 0.14/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f20,f44])).
% 0.14/0.39 fof(f490,plain,(
% 0.14/0.39 ![X0,X1]: (multiply(least_upper_bound(X0,identity),X1)=least_upper_bound(multiply(X0,X1),X1))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f19,f32])).
% 0.14/0.39 fof(f757,plain,(
% 0.14/0.39 ![X0]: (multiply(identity,X0)=least_upper_bound(multiply(a,X0),X0))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f107,f490])).
% 0.14/0.39 fof(f804,plain,(
% 0.14/0.39 ![X0]: (X0=least_upper_bound(multiply(a,X0),X0))),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f19,f757])).
% 0.14/0.39 fof(f836,plain,(
% 0.14/0.39 inverse(a)=least_upper_bound(identity,inverse(a))),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f196,f804])).
% 0.14/0.39 fof(f853,plain,(
% 0.14/0.39 inverse(a)=identity),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f35,f836])).
% 0.14/0.39 fof(f865,plain,(
% 0.14/0.39 multiply(a,identity)=identity),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f853,f196])).
% 0.14/0.39 fof(f871,plain,(
% 0.14/0.39 a=identity),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f48,f865])).
% 0.14/0.39 fof(f872,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f871,f36])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.045467 seconds
% 0.14/0.41 % CPU time: 0.193412 seconds
% 0.14/0.41 % Total memory used: 7.634 MB
% 0.14/0.41 % Net memory used: 7.538 MB
%------------------------------------------------------------------------------