%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP561-1 : 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 : 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 12:36:49 PM UTC 2026
% Result : Unsatisfiable 0.02s 15.24s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP561-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.02/15.22 % CPULimit : 300
% 0.02/15.22 % WCLimit : 300
% 0.02/15.22 % DateTime : Sun Sep 20 20:16:37 UTC 2026
% 0.02/15.22 % CPUTime :
% 0.02/15.22 % Drodi V4.1.1
% 0.02/15.24 % Refutation found
% 0.02/15.24 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/15.24 % SZS output start CNFRefutation for theBenchmark
% 0.02/15.24 fof(f1,axiom,(
% 0.02/15.24 (![A,B,C]: (divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B ))),
% 0.02/15.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/15.24 fof(f2,axiom,(
% 0.02/15.24 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.02/15.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/15.24 fof(f3,negated_conjecture,(
% 0.02/15.24 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.02/15.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/15.24 fof(f4,plain,(
% 0.02/15.24 ![X0,X1,X2]: (divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2))=X1)),
% 0.02/15.24 inference(cnf_transformation,[status(thm)],[f1])).
% 0.02/15.24 fof(f5,plain,(
% 0.02/15.24 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.02/15.24 inference(cnf_transformation,[status(thm)],[f2])).
% 0.02/15.24 fof(f6,plain,(
% 0.02/15.24 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.02/15.24 inference(cnf_transformation,[status(thm)],[f3])).
% 0.02/15.24 fof(f12,plain,(
% 0.02/15.24 ![X0,X1,X2]: (divide(divide(multiply(X0,X1),X2),divide(X0,X2))=X1)),
% 0.02/15.24 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.02/15.24 fof(f13,plain,(
% 0.02/15.24 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2)))=X1)),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f5,f12])).
% 0.02/15.24 fof(f14,plain,(
% 0.02/15.24 ![X0,X1,X2,X3]: (divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1)=X3)),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.02/15.24 fof(f16,plain,(
% 0.02/15.24 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X2))=X1)),
% 0.02/15.24 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 0.02/15.24 fof(f18,plain,(
% 0.02/15.24 ![X0,X1,X2]: (divide(X0,divide(multiply(X1,X0),multiply(X1,X2)))=X2)),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f16,f12])).
% 0.02/15.24 fof(f19,plain,(
% 0.02/15.24 ![X0,X1,X2,X3]: (divide(divide(multiply(multiply(multiply(X0,X1),X2),X3),multiply(X0,X2)),X1)=X3)),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f16,f12])).
% 0.02/15.24 fof(f39,plain,(
% 0.02/15.24 ![X0,X1,X2,X3]: (multiply(divide(multiply(multiply(multiply(X0,inverse(X1)),X2),X3),multiply(X0,X2)),X1)=X3)),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f5,f19])).
% 0.02/15.24 fof(f49,plain,(
% 0.02/15.24 ![X0,X1,X2,X3]: (divide(divide(X0,divide(multiply(multiply(X1,inverse(X2)),X3),multiply(X1,X3))),X0)=X2)),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f39,f14])).
% 0.02/15.24 fof(f64,plain,(
% 0.02/15.24 ![X0,X1]: (divide(divide(X0,inverse(X1)),X0)=X1)),
% 0.02/15.24 inference(forward_demodulation,[status(thm)],[f16,f49])).
% 0.02/15.24 fof(f65,plain,(
% 0.02/15.24 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.02/15.24 inference(forward_demodulation,[status(thm)],[f5,f64])).
% 0.02/15.24 fof(f67,plain,(
% 0.02/15.24 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f5,f65])).
% 0.02/15.24 fof(f71,plain,(
% 0.02/15.24 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f65,f12])).
% 0.02/15.24 fof(f76,plain,(
% 0.02/15.24 ![X0,X1]: (X0=multiply(divide(X1,X1),X0))),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f65,f71])).
% 0.02/15.24 fof(f117,plain,(
% 0.02/15.24 ![X0,X1,X2]: (divide(X0,divide(multiply(divide(X1,X1),X0),X2))=X2)),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f76,f18])).
% 0.02/15.24 fof(f119,plain,(
% 0.02/15.24 ![X0,X1,X2]: (divide(multiply(multiply(divide(X0,X0),X1),X2),X2)=X1)),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f76,f16])).
% 0.02/15.24 fof(f130,plain,(
% 0.02/15.24 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.02/15.24 inference(forward_demodulation,[status(thm)],[f76,f117])).
% 0.02/15.24 fof(f132,plain,(
% 0.02/15.24 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.02/15.24 inference(forward_demodulation,[status(thm)],[f76,f119])).
% 0.02/15.24 fof(f145,plain,(
% 0.02/15.24 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f71,f130])).
% 0.02/15.24 fof(f282,plain,(
% 0.02/15.24 ![X0,X1]: (divide(X0,X1)=multiply(inverse(X1),X0))),
% 0.02/15.24 inference(paramodulation,[status(thm)],[f67,f132])).
% 0.02/15.24 fof(f291,plain,(
% 0.02/15.24 ~multiply(inverse(a1),a1)=divide(b1,b1)),
% 0.02/15.24 inference(backward_demodulation,[status(thm)],[f282,f6])).
% 0.02/15.24 fof(f306,plain,(
% 0.02/15.24 ~divide(a1,a1)=divide(b1,b1)),
% 0.02/15.24 inference(forward_demodulation,[status(thm)],[f282,f291])).
% 0.02/15.24 fof(f307,plain,(
% 0.02/15.24 $false),
% 0.02/15.24 inference(forward_subsumption_resolution,[status(thm)],[f306,f145])).
% 0.02/15.24 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/15.24 % Elapsed time: 0.021616 seconds
% 0.02/15.24 % CPU time: 0.092433 seconds
% 0.02/15.24 % Total memory used: 8.724 MB
% 0.02/15.24 % Net memory used: 8.453 MB
%------------------------------------------------------------------------------