%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP542-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 0.03s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP542-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.47 % Computer : n012.cluster.edu
% 0.03/0.47 % Model : x86_64 x86_64
% 0.03/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.47 % Memory : 8046.5625MB
% 0.03/0.47 % OS : Linux 6.8.0-71-generic
% 0.03/0.47 % CPULimit : 300
% 0.03/0.47 % WCLimit : 300
% 0.03/0.47 % DateTime : Sun Sep 20 20:15:53 UTC 2026
% 0.03/0.47 % CPUTime :
% 0.03/0.47 % Drodi V4.1.1
% 0.03/0.48 % Refutation found
% 0.03/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.48 fof(f1,axiom,(
% 0.03/0.48 (![A,B,C]: (divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B ))),
% 0.03/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.48 fof(f2,axiom,(
% 0.03/0.48 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.03/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.48 fof(f3,axiom,(
% 0.03/0.48 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.03/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.48 fof(f4,axiom,(
% 0.03/0.48 (![A]: (identity = divide(A,A) ))),
% 0.03/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.48 fof(f5,negated_conjecture,(
% 0.03/0.48 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.03/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.48 fof(f6,plain,(
% 0.03/0.48 ![X0,X1,X2]: (divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2)=X1)),
% 0.03/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.48 fof(f7,plain,(
% 0.03/0.48 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.03/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.48 fof(f8,plain,(
% 0.03/0.48 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.03/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.48 fof(f9,plain,(
% 0.03/0.48 ![X0]: (identity=divide(X0,X0))),
% 0.03/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/0.48 fof(f10,plain,(
% 0.03/0.48 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.03/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.03/0.48 fof(f15,plain,(
% 0.03/0.48 ![X0,X1,X2]: (divide(inverse(divide(divide(divide(X0,X1),X2),X0)),X2)=X1)),
% 0.03/0.48 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.03/0.48 fof(f16,plain,(
% 0.03/0.48 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.03/0.48 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.03/0.48 fof(f17,plain,(
% 0.03/0.48 ![X0,X1,X2,X3]: (divide(inverse(divide(divide(X0,X1),inverse(divide(divide(divide(X2,X0),X3),X2)))),X1)=X3)),
% 0.03/0.48 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.03/0.48 fof(f18,plain,(
% 0.03/0.48 ![X0,X1]: (divide(inverse(divide(divide(inverse(X0),X1),identity)),X1)=X0)),
% 0.03/0.48 inference(paramodulation,[status(thm)],[f8,f15])).
% 0.03/0.48 fof(f19,plain,(
% 0.03/0.48 ![X0,X1,X2,X3]: (divide(inverse(multiply(divide(X0,X1),divide(divide(divide(X2,X0),X3),X2))),X1)=X3)),
% 0.03/0.48 inference(forward_demodulation,[status(thm)],[f16,f17])).
% 0.03/0.48 fof(f21,plain,(
% 0.03/0.48 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.03/0.48 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.03/0.48 fof(f22,plain,(
% 0.03/0.48 ![X0,X1,X2]: (divide(inverse(multiply(divide(divide(inverse(X0),X1),X2),X0)),X2)=X1)),
% 0.03/0.48 inference(paramodulation,[status(thm)],[f16,f15])).
% 0.03/0.48 fof(f33,plain,(
% 0.03/0.48 ![X0,X1,X2]: (divide(inverse(multiply(inverse(X0),divide(divide(divide(X1,identity),X2),X1))),X0)=X2)),
% 0.03/0.48 inference(paramodulation,[status(thm)],[f8,f19])).
% 0.03/0.48 fof(f54,plain,(
% 0.03/0.48 ![X0,X1,X2]: (divide(inverse(divide(X0,identity)),X1)=divide(divide(divide(X2,X0),X1),X2))),
% 0.03/0.48 inference(paramodulation,[status(thm)],[f15,f18])).
% 0.03/0.48 fof(f68,plain,(
% 0.03/0.48 ![X0,X1]: (divide(inverse(multiply(inverse(X0),divide(inverse(divide(identity,identity)),X1))),X0)=X1)),
% 0.03/0.48 inference(backward_demodulation,[status(thm)],[f54,f33])).
% 0.03/0.48 fof(f81,plain,(
% 0.03/0.48 ![X0,X1]: (divide(inverse(multiply(inverse(X0),divide(inverse(inverse(identity)),X1))),X0)=X1)),
% 0.03/0.48 inference(forward_demodulation,[status(thm)],[f8,f68])).
% 0.03/0.48 fof(f98,plain,(
% 0.03/0.48 identity=inverse(identity)),
% 0.03/0.48 inference(paramodulation,[status(thm)],[f8,f9])).
% 0.03/0.48 fof(f99,plain,(
% 0.03/0.48 ![X0]: (identity=multiply(inverse(X0),X0))),
% 0.03/0.48 inference(paramodulation,[status(thm)],[f16,f9])).
% 0.03/0.48 fof(f101,plain,(
% 0.03/0.48 ![X0,X1]: (divide(inverse(multiply(divide(identity,X0),X1)),X0)=inverse(X1))),
% 0.03/0.48 inference(paramodulation,[status(thm)],[f9,f22])).
% 0.03/0.48 fof(f105,plain,(
% 0.03/0.48 ![X0,X1]: (divide(inverse(multiply(inverse(X0),divide(inverse(identity),X1))),X0)=X1)),
% 0.03/0.48 inference(backward_demodulation,[status(thm)],[f98,f81])).
% 0.03/0.48 fof(f106,plain,(
% 0.03/0.48 ~multiply(identity,a2)=a2),
% 0.03/0.48 inference(backward_demodulation,[status(thm)],[f99,f10])).
% 0.03/0.48 fof(f108,plain,(
% 0.03/0.48 ![X0,X1]: (divide(inverse(multiply(inverse(X0),X1)),X0)=inverse(X1))),
% 0.03/0.48 inference(forward_demodulation,[status(thm)],[f8,f101])).
% 0.03/0.48 fof(f110,plain,(
% 0.03/0.48 ![X0]: (inverse(divide(inverse(identity),X0))=X0)),
% 0.03/0.48 inference(forward_demodulation,[status(thm)],[f108,f105])).
% 0.03/0.48 fof(f111,plain,(
% 0.03/0.48 ![X0]: (inverse(divide(identity,X0))=X0)),
% 0.03/0.48 inference(forward_demodulation,[status(thm)],[f98,f110])).
% 0.03/0.48 fof(f115,plain,(
% 0.03/0.48 ![X0]: (inverse(inverse(X0))=X0)),
% 0.03/0.48 inference(forward_demodulation,[status(thm)],[f8,f111])).
% 0.03/0.48 fof(f116,plain,(
% 0.03/0.48 ~inverse(inverse(a2))=a2),
% 0.03/0.48 inference(forward_demodulation,[status(thm)],[f21,f106])).
% 0.03/0.48 fof(f117,plain,(
% 0.03/0.48 ~a2=a2),
% 0.03/0.48 inference(forward_demodulation,[status(thm)],[f115,f116])).
% 0.03/0.48 fof(f118,plain,(
% 0.03/0.48 $false),
% 0.03/0.48 inference(trivial_equality_resolution,[status(thm)],[f117])).
% 0.03/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.50 % Elapsed time: 0.023142 seconds
% 0.03/0.50 % CPU time: 0.027242 seconds
% 0.03/0.50 % Total memory used: 1.668 MB
% 0.03/0.50 % Net memory used: 1.636 MB
%------------------------------------------------------------------------------