%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP181-3 : 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 : n008.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 12:36:11 PM UTC 2026
% Result : Unsatisfiable 75.45s 9.96s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP181-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:05:25 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 75.45/9.96 % Refutation found
% 75.45/9.96 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 75.45/9.96 % SZS output start CNFRefutation for theBenchmark
% 75.45/9.96 fof(f1,axiom,(
% 75.45/9.96 (![X]: (multiply(identity,X) = X ))),
% 75.45/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.45/9.96 fof(f2,axiom,(
% 75.45/9.96 (![X]: (multiply(inverse(X),X) = identity ))),
% 75.45/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.45/9.96 fof(f3,axiom,(
% 75.45/9.96 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 75.45/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.45/9.96 fof(f4,axiom,(
% 75.45/9.96 (![X,Y]: (greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) ))),
% 75.45/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.45/9.96 fof(f12,axiom,(
% 75.45/9.96 (![X,Y,Z]: (multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)) ))),
% 75.45/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.45/9.96 fof(f13,axiom,(
% 75.45/9.96 (![X,Y,Z]: (multiply(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(multiply(X,Y),multiply(X,Z)) ))),
% 75.45/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.45/9.96 fof(f16,hypothesis,(
% 75.45/9.96 greatest_lower_bound(a,c) = greatest_lower_bound(b,c) ),
% 75.45/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.45/9.96 fof(f17,hypothesis,(
% 75.45/9.96 least_upper_bound(a,c) = least_upper_bound(b,c) ),
% 75.45/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.45/9.96 fof(f19,hypothesis,(
% 75.45/9.96 (![X,Y]: (inverse(least_upper_bound(X,Y)) = greatest_lower_bound(inverse(X),inverse(Y)) ))),
% 75.45/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.45/9.96 fof(f20,negated_conjecture,(
% 75.45/9.96 a != b ),
% 75.45/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.45/9.96 fof(f21,plain,(
% 75.45/9.96 ![X0]: (multiply(identity,X0)=X0)),
% 75.45/9.96 inference(cnf_transformation,[status(thm)],[f1])).
% 75.45/9.96 fof(f22,plain,(
% 75.45/9.96 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 75.45/9.96 inference(cnf_transformation,[status(thm)],[f2])).
% 75.45/9.96 fof(f23,plain,(
% 75.45/9.96 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 75.45/9.96 inference(cnf_transformation,[status(thm)],[f3])).
% 75.45/9.96 fof(f24,plain,(
% 75.45/9.96 ![X0,X1]: (greatest_lower_bound(X0,X1)=greatest_lower_bound(X1,X0))),
% 75.45/9.96 inference(cnf_transformation,[status(thm)],[f4])).
% 75.45/9.96 fof(f32,plain,(
% 75.45/9.96 ![X0,X1,X2]: (multiply(X0,least_upper_bound(X1,X2))=least_upper_bound(multiply(X0,X1),multiply(X0,X2)))),
% 75.45/9.96 inference(cnf_transformation,[status(thm)],[f12])).
% 75.45/9.96 fof(f33,plain,(
% 75.45/9.96 ![X0,X1,X2]: (multiply(X0,greatest_lower_bound(X1,X2))=greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)))),
% 75.45/9.96 inference(cnf_transformation,[status(thm)],[f13])).
% 75.45/9.96 fof(f36,plain,(
% 75.45/9.96 greatest_lower_bound(a,c)=greatest_lower_bound(b,c)),
% 75.45/9.96 inference(cnf_transformation,[status(thm)],[f16])).
% 75.45/9.96 fof(f37,plain,(
% 75.45/9.96 least_upper_bound(a,c)=least_upper_bound(b,c)),
% 75.45/9.96 inference(cnf_transformation,[status(thm)],[f17])).
% 75.45/9.96 fof(f39,plain,(
% 75.45/9.96 ![X0,X1]: (inverse(least_upper_bound(X0,X1))=greatest_lower_bound(inverse(X0),inverse(X1)))),
% 75.45/9.96 inference(cnf_transformation,[status(thm)],[f19])).
% 75.45/9.96 fof(f40,plain,(
% 75.45/9.96 ~a=b),
% 75.45/9.96 inference(cnf_transformation,[status(thm)],[f20])).
% 75.45/9.96 fof(f41,plain,(
% 75.45/9.96 greatest_lower_bound(b,c)=greatest_lower_bound(c,a)),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f36,f24])).
% 75.45/9.96 fof(f64,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f22,f23])).
% 75.45/9.96 fof(f68,plain,(
% 75.45/9.96 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f21,f64])).
% 75.45/9.96 fof(f131,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f68,f68])).
% 75.45/9.96 fof(f132,plain,(
% 75.45/9.96 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f22,f68])).
% 75.45/9.96 fof(f135,plain,(
% 75.45/9.96 ![X0]: (X0=multiply(X0,identity))),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f131,f132])).
% 75.45/9.96 fof(f138,plain,(
% 75.45/9.96 inverse(identity)=identity),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f22,f135])).
% 75.45/9.96 fof(f372,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(inverse(X0),least_upper_bound(X0,X1))=least_upper_bound(identity,multiply(inverse(X0),X1)))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f22,f32])).
% 75.45/9.96 fof(f402,plain,(
% 75.45/9.96 ![X0,X1,X2]: (multiply(X0,greatest_lower_bound(X1,X2))=greatest_lower_bound(multiply(X0,X2),multiply(X0,X1)))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f24,f33])).
% 75.45/9.96 fof(f407,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(inverse(X0),greatest_lower_bound(X0,X1))=greatest_lower_bound(identity,multiply(inverse(X0),X1)))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f22,f33])).
% 75.45/9.96 fof(f1022,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f68,f131])).
% 75.45/9.96 fof(f1023,plain,(
% 75.45/9.96 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f22,f131])).
% 75.45/9.96 fof(f1024,plain,(
% 75.45/9.96 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f135,f131])).
% 75.45/9.96 fof(f1036,plain,(
% 75.45/9.96 ![X0]: (X0=inverse(inverse(X0)))),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f135,f1024])).
% 75.45/9.96 fof(f1054,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(X0,multiply(X1,inverse(multiply(X0,X1))))=identity)),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f23,f1023])).
% 75.45/9.96 fof(f1116,plain,(
% 75.45/9.96 ![X0]: (inverse(least_upper_bound(identity,X0))=greatest_lower_bound(identity,inverse(X0)))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f138,f39])).
% 75.45/9.96 fof(f12900,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=multiply(inverse(X1),identity))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f1054,f68])).
% 75.45/9.96 fof(f12935,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f135,f12900])).
% 75.45/9.96 fof(f12949,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),inverse(inverse(X0)))=inverse(X1))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f12935,f12935])).
% 75.45/9.96 fof(f12977,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f1036,f12949])).
% 75.45/9.96 fof(f12987,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(X1),X0)))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f1022,f12977])).
% 75.45/9.96 fof(f13828,plain,(
% 75.45/9.96 multiply(inverse(a),least_upper_bound(b,c))=least_upper_bound(identity,multiply(inverse(a),c))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f37,f372])).
% 75.45/9.96 fof(f13850,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(least_upper_bound(X0,X1),inverse(least_upper_bound(identity,multiply(inverse(X0),X1))))=inverse(inverse(X0)))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f372,f12935])).
% 75.45/9.96 fof(f13941,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(least_upper_bound(X0,X1),greatest_lower_bound(identity,inverse(multiply(inverse(X0),X1))))=inverse(inverse(X0)))),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f1116,f13850])).
% 75.45/9.96 fof(f13942,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(least_upper_bound(X0,X1),greatest_lower_bound(identity,multiply(inverse(X1),X0)))=inverse(inverse(X0)))),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f12987,f13941])).
% 75.45/9.96 fof(f13943,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(least_upper_bound(X0,X1),greatest_lower_bound(identity,multiply(inverse(X1),X0)))=X0)),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f1036,f13942])).
% 75.45/9.96 fof(f14208,plain,(
% 75.45/9.96 ![X0,X1]: (multiply(inverse(X0),greatest_lower_bound(X1,X0))=greatest_lower_bound(identity,multiply(inverse(X0),X1)))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f22,f402])).
% 75.45/9.96 fof(f25610,plain,(
% 75.45/9.96 multiply(inverse(c),greatest_lower_bound(b,c))=greatest_lower_bound(identity,multiply(inverse(c),a))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f41,f407])).
% 75.45/9.96 fof(f25716,plain,(
% 75.45/9.96 greatest_lower_bound(identity,multiply(inverse(c),b))=greatest_lower_bound(identity,multiply(inverse(c),a))),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f14208,f25610])).
% 75.45/9.96 fof(f56795,plain,(
% 75.45/9.96 multiply(least_upper_bound(b,c),inverse(least_upper_bound(identity,multiply(inverse(a),c))))=inverse(inverse(a))),
% 75.45/9.96 inference(paramodulation,[status(thm)],[f13828,f12935])).
% 75.45/9.96 fof(f56829,plain,(
% 75.45/9.96 multiply(least_upper_bound(b,c),greatest_lower_bound(identity,inverse(multiply(inverse(a),c))))=inverse(inverse(a))),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f1116,f56795])).
% 75.45/9.96 fof(f56830,plain,(
% 75.45/9.96 multiply(least_upper_bound(b,c),greatest_lower_bound(identity,multiply(inverse(c),a)))=inverse(inverse(a))),
% 75.45/9.96 inference(forward_demodulation,[status(thm)],[f12987,f56829])).
% 69.01/10.07 fof(f56831,plain,(
% 69.01/10.07 multiply(least_upper_bound(b,c),greatest_lower_bound(identity,multiply(inverse(c),b)))=inverse(inverse(a))),
% 69.01/10.07 inference(forward_demodulation,[status(thm)],[f25716,f56830])).
% 69.01/10.07 fof(f56832,plain,(
% 69.01/10.07 b=inverse(inverse(a))),
% 69.01/10.07 inference(forward_demodulation,[status(thm)],[f13943,f56831])).
% 69.01/10.07 fof(f56833,plain,(
% 69.01/10.07 b=a),
% 69.01/10.07 inference(forward_demodulation,[status(thm)],[f1036,f56832])).
% 69.01/10.07 fof(f56834,plain,(
% 69.01/10.07 $false),
% 69.01/10.07 inference(forward_subsumption_resolution,[status(thm)],[f56833,f40])).
% 69.01/10.07 % SZS output end CNFRefutation for theBenchmark.p
% 69.01/10.09 % Elapsed time: 9.709348 seconds
% 69.01/10.09 % CPU time: 76.777683 seconds
% 69.01/10.09 % Total memory used: 591.856 MB
% 69.01/10.09 % Net memory used: 581.298 MB
%------------------------------------------------------------------------------