%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP452-1 : 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 : n005.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 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP452-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n005.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 20:13:34 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.35 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (![A,B,C]: (divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,axiom,(
% 0.12/0.37 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,axiom,(
% 0.12/0.37 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,negated_conjecture,(
% 0.12/0.37 multiply(multiply(inverse(b2),b2),a2) != a2 ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f5,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2)=X1)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f6,plain,(
% 0.12/0.37 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f7,plain,(
% 0.12/0.37 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f8,plain,(
% 0.12/0.37 ~multiply(multiply(inverse(b2),b2),a2)=a2),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.37 fof(f13,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2)=X1)),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f7,f5])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=X1)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f7,f13])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 ![X0,X1]: (inverse(X0)=divide(inverse(divide(X1,X1)),X0))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.12/0.37 fof(f17,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(inverse(inverse(divide(X0,divide(inverse(divide(X1,X1)),X2)))),X2)=X0)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f7,f15])).
% 0.12/0.37 fof(f18,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(inverse(divide(X0,X1)),X2)=inverse(divide(X3,divide(X1,divide(inverse(X3),divide(inverse(X0),X2))))))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,inverse(divide(inverse(X0),X1)))),X1)=divide(X2,X2))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f7,f15])).
% 0.12/0.37 fof(f20,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X1))),X2)=X3)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.12/0.37 fof(f21,plain,(
% 0.12/0.37 ![X0,X1]: (divide(inverse(inverse(divide(X0,inverse(X1)))),X1)=X0)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f16,f17])).
% 0.12/0.37 fof(f22,plain,(
% 0.12/0.37 ![X0,X1]: (divide(inverse(inverse(multiply(X0,X1))),X1)=X0)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f14,f21])).
% 0.12/0.37 fof(f23,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(inverse(multiply(X0,divide(inverse(X0),X1))),X1)=divide(X2,X2))),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f14,f19])).
% 0.12/0.37 fof(f24,plain,(
% 0.12/0.37 ![X0,X1,X2]: (multiply(inverse(divide(X0,divide(X1,divide(inverse(X0),inverse(X2))))),X2)=X1)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.12/0.37 fof(f25,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f7,f14])).
% 0.12/0.37 fof(f30,plain,(
% 0.12/0.37 ![X0,X1,X2]: (multiply(inverse(divide(X0,divide(X1,multiply(inverse(X0),X2)))),X2)=X1)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f14,f24])).
% 0.12/0.37 fof(f34,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f14,f25])).
% 0.12/0.37 fof(f35,plain,(
% 0.12/0.37 ~inverse(inverse(a2))=a2),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f34,f8])).
% 0.12/0.37 fof(f52,plain,(
% 0.12/0.37 ![X0,X1]: (divide(inverse(inverse(inverse(inverse(X0)))),X0)=divide(X1,X1))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f25,f22])).
% 0.12/0.37 fof(f68,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(inverse(divide(divide(X0,X0),X1)),X2)=inverse(divide(X3,divide(X1,divide(inverse(X3),inverse(X2))))))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f16,f18])).
% 0.12/0.37 fof(f85,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(inverse(inverse(X0)),X1)=inverse(divide(X2,divide(X0,divide(inverse(X2),inverse(X1))))))),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f7,f68])).
% 0.12/0.37 fof(f86,plain,(
% 0.12/0.37 ![X0,X1]: (multiply(divide(inverse(inverse(X0)),X1),X1)=X0)),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f87,f30])).
% 0.12/0.37 fof(f87,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(inverse(inverse(X0)),X1)=inverse(divide(X2,divide(X0,multiply(inverse(X2),X1)))))),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f14,f85])).
% 0.12/0.37 fof(f90,plain,(
% 0.12/0.37 ![X0]: (inverse(inverse(inverse(inverse(X0))))=X0)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f25,f86])).
% 0.12/0.37 fof(f96,plain,(
% 0.12/0.37 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f90,f52])).
% 0.12/0.37 fof(f103,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(inverse(divide(inverse(inverse(inverse(X0))),X1)),X2)=inverse(divide(X3,divide(X1,divide(inverse(X3),divide(X0,X2))))))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f90,f18])).
% 0.12/0.37 fof(f129,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(inverse(divide(X0,divide(X1,X1))),X2)=divide(inverse(X0),X2))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f96,f15])).
% 0.12/0.37 fof(f196,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(inverse(divide(divide(X0,inverse(divide(inverse(X0),X1))),divide(X2,inverse(divide(X3,X3))))),X1)=X2)),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f16,f20])).
% 0.12/0.37 fof(f211,plain,(
% 0.12/0.37 ![X0,X1,X2,X3,X4]: (divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),divide(X3,X3))),X2)=inverse(multiply(X4,divide(inverse(X4),X1))))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f23,f20])).
% 0.12/0.37 fof(f212,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),X3)),X2)=inverse(inverse(multiply(X3,X1))))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f22,f20])).
% 0.12/0.37 fof(f214,plain,(
% 0.12/0.37 ![X0,X1,X2,X3,X4]: (divide(inverse(divide(divide(X0,divide(X1,divide(inverse(X0),X2))),X3)),X2)=inverse(divide(X4,divide(X3,divide(inverse(X4),X1)))))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f15,f20])).
% 0.12/0.37 fof(f237,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(inverse(divide(multiply(X0,divide(inverse(X0),X1)),divide(X2,inverse(divide(X3,X3))))),X1)=X2)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f14,f196])).
% 0.12/0.37 fof(f238,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(inverse(divide(multiply(X0,divide(inverse(X0),X1)),multiply(X2,divide(X3,X3)))),X1)=X2)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f14,f237])).
% 0.12/0.37 fof(f246,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2)=inverse(multiply(X3,divide(inverse(X3),X1))))),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f129,f211])).
% 0.12/0.37 fof(f261,plain,(
% 0.12/0.37 ![X0,X1]: (X0=inverse(multiply(X1,divide(inverse(X1),X0))))),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f15,f246])).
% 0.12/0.37 fof(f266,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(inverse(divide(inverse(inverse(inverse(X0))),X1)),X2)=inverse(inverse(multiply(X1,divide(X0,X2)))))),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f269,f103])).
% 0.12/0.37 fof(f269,plain,(
% 0.12/0.37 ![X0,X1,X2]: (inverse(inverse(multiply(X0,X1)))=inverse(divide(X2,divide(X0,divide(inverse(X2),X1)))))),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f212,f214])).
% 0.12/0.37 fof(f447,plain,(
% 0.12/0.37 ![X0,X1]: (inverse(X0)=inverse(multiply(X0,divide(X1,X1))))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f96,f261])).
% 0.12/0.37 fof(f456,plain,(
% 0.12/0.37 ![X0,X1]: (inverse(inverse(inverse(X0)))=multiply(X1,divide(inverse(X1),X0)))),
% 0.12/0.37 inference(paramodulation,[status(thm)],[f261,f90])).
% 0.12/0.37 fof(f478,plain,(
% 0.12/0.37 ![X0,X1,X2]: (divide(inverse(divide(inverse(inverse(inverse(X0))),multiply(X1,divide(X2,X2)))),X0)=X1)),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f456,f238])).
% 0.12/0.37 fof(f486,plain,(
% 0.12/0.37 ![X0,X1,X2]: (inverse(inverse(multiply(multiply(X0,divide(X1,X1)),divide(X2,X2))))=X0)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f266,f478])).
% 0.12/0.37 fof(f487,plain,(
% 0.12/0.37 ![X0,X1]: (inverse(inverse(multiply(X0,divide(X1,X1))))=X0)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f447,f486])).
% 0.12/0.37 fof(f492,plain,(
% 0.12/0.37 ~a2=a2),
% 0.12/0.37 inference(backward_demodulation,[status(thm)],[f531,f35])).
% 0.12/0.37 fof(f531,plain,(
% 0.12/0.37 ![X0]: (inverse(inverse(X0))=X0)),
% 0.12/0.37 inference(forward_demodulation,[status(thm)],[f447,f487])).
% 0.12/0.37 fof(f534,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(trivial_equality_resolution,[status(thm)],[f492])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 6.23/1.61 % Elapsed time: 1.045719 seconds
% 6.23/1.61 % CPU time: 0.074027 seconds
% 6.23/1.61 % Total memory used: 2.201 MB
% 6.23/1.61 % Net memory used: 2.130 MB
%------------------------------------------------------------------------------