%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP448-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:36:39 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP448-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.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 20:18:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![A,B,C]: (divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,negated_conjecture,(
% 0.13/0.38 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(divide(divide(X1,X1),X0),X2)))=X1)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f6,plain,(
% 0.13/0.38 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.38 fof(f14,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.13/0.38 fof(f15,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(X0,divide(divide(divide(divide(X1,X1),X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.13/0.38 inference(backward_demodulation,[status(thm)],[f7,f5])).
% 0.13/0.38 fof(f16,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2)))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f7,f15])).
% 0.13/0.38 fof(f17,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(X0)=divide(inverse(divide(X1,X1)),X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f7,f14])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(X0)=divide(inverse(inverse(divide(X1,X1))),X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f7,f17])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(X0)=divide(inverse(multiply(inverse(X1),X1)),X0))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f14,f17])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X0,X1,X2]: (inverse(divide(divide(inverse(X0),X1),divide(inverse(inverse(divide(X2,X2))),X1)))=X0)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f17,f16])).
% 0.13/0.38 fof(f29,plain,(
% 0.13/0.38 ![X0,X1]: (divide(X0,inverse(divide(inverse(X0),inverse(X1))))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f7,f16])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(divide(inverse(X1),X2),divide(inverse(inverse(X3)),X2)))))=X3)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f16,f16])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(X0,divide(multiply(inverse(X1),X2),divide(inverse(X0),inverse(X2))))=X1)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f14,f16])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(divide(divide(inverse(X0),X1),inverse(X1)))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f23,f27])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(multiply(divide(inverse(X0),X1),X1))=X0)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f14,f38])).
% 0.13/0.38 fof(f42,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,divide(inverse(X0),inverse(X1)))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f14,f29])).
% 0.13/0.38 fof(f43,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f14,f42])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 ![X0,X1,X2]: (divide(X0,divide(multiply(inverse(X1),X2),multiply(inverse(X0),X2)))=X1)),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f14,f32])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f43,f43])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f14,f18])).
% 0.13/0.38 fof(f85,plain,(
% 0.13/0.38 ![X0,X1]: (inverse(multiply(inverse(X0),X0))=divide(X1,X1))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f17,f39])).
% 0.13/0.39 fof(f154,plain,(
% 0.13/0.39 ![X0,X1,X2]: (divide(X0,divide(X1,divide(inverse(X0),inverse(divide(inverse(inverse(X2)),inverse(X1))))))=X2)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f7,f31])).
% 0.13/0.39 fof(f159,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(inverse(X0),divide(inverse(multiply(inverse(X2),X2)),divide(inverse(inverse(X3)),inverse(X1))))))=X3)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f85,f31])).
% 0.13/0.39 fof(f188,plain,(
% 0.13/0.39 ![X0,X1,X2]: (divide(X0,divide(X1,multiply(inverse(X0),divide(inverse(inverse(X2)),inverse(X1)))))=X2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f14,f154])).
% 0.13/0.39 fof(f189,plain,(
% 0.13/0.39 ![X0,X1,X2]: (divide(X0,divide(X1,multiply(inverse(X0),multiply(inverse(inverse(X2)),X1))))=X2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f14,f188])).
% 0.13/0.39 fof(f190,plain,(
% 0.13/0.39 ![X0,X1,X2]: (divide(X0,divide(X1,multiply(inverse(X0),multiply(X2,X1))))=X2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f52,f189])).
% 0.13/0.39 fof(f196,plain,(
% 0.13/0.39 ![X0,X1,X2]: (divide(X0,divide(X1,divide(inverse(X0),inverse(divide(inverse(inverse(X2)),inverse(X1))))))=X2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f24,f159])).
% 0.13/0.39 fof(f197,plain,(
% 0.13/0.39 ![X0,X1,X2]: (divide(X0,divide(X1,multiply(inverse(X0),divide(inverse(inverse(X2)),inverse(X1)))))=X2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f14,f196])).
% 0.13/0.39 fof(f198,plain,(
% 0.13/0.39 ![X0,X1,X2]: (divide(X0,divide(X1,multiply(inverse(X0),multiply(inverse(inverse(X2)),X1))))=X2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f14,f197])).
% 0.13/0.39 fof(f219,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f222,f56])).
% 0.13/0.39 fof(f222,plain,(
% 0.13/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f190,f198])).
% 0.13/0.39 fof(f258,plain,(
% 0.13/0.39 ![X0,X1]: (divide(X0,inverse(multiply(inverse(X1),X1)))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f85,f44])).
% 0.13/0.39 fof(f276,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,multiply(inverse(X1),X1))=X0)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f14,f258])).
% 0.13/0.39 fof(f507,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f219,f276])).
% 0.13/0.39 fof(f530,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f8,f507])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 6.12/1.61 % Elapsed time: 1.029901 seconds
% 6.12/1.61 % CPU time: 0.068907 seconds
% 6.12/1.61 % Total memory used: 2.079 MB
% 6.12/1.61 % Net memory used: 1.987 MB
%------------------------------------------------------------------------------