%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP468-1 : 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 : n009.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 12:36:40 PM UTC 2026
% Result : Unsatisfiable 1.84s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP468-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:14:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 1.84/0.67 % Refutation found
% 1.84/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.84/0.67 % SZS output start CNFRefutation for theBenchmark
% 1.84/0.67 fof(f1,axiom,(
% 1.84/0.67 (![A,B,C,D]: (divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C ))),
% 1.84/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.84/0.67 fof(f2,axiom,(
% 1.84/0.67 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 1.84/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.84/0.67 fof(f3,negated_conjecture,(
% 1.84/0.67 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 1.84/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.84/0.67 fof(f4,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3))))=X2)),
% 1.84/0.67 inference(cnf_transformation,[status(thm)],[f1])).
% 1.84/0.67 fof(f5,plain,(
% 1.84/0.67 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 1.84/0.67 inference(cnf_transformation,[status(thm)],[f2])).
% 1.84/0.67 fof(f6,plain,(
% 1.84/0.67 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 1.84/0.67 inference(cnf_transformation,[status(thm)],[f3])).
% 1.84/0.67 fof(f12,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3)))=X2)),
% 1.84/0.67 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 1.84/0.67 fof(f13,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3)))=X2)),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f5,f12])).
% 1.84/0.67 fof(f14,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4]: (divide(divide(X0,X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3)))=divide(X4,X4))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f12,f12])).
% 1.84/0.67 fof(f15,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4,X5]: (divide(divide(X0,X0),divide(divide(X1,multiply(divide(X2,divide(X3,X1)),X3)),multiply(divide(X4,X2),divide(X5,X5))))=X4)),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f12,f12])).
% 1.84/0.67 fof(f16,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,multiply(X3,X1)),X3)))=X2)),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f5,f12])).
% 1.84/0.67 fof(f29,plain,(
% 1.84/0.67 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f14,f14])).
% 1.84/0.67 fof(f45,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4,X5]: (divide(multiply(inverse(X0),X0),divide(multiply(X1,X2),multiply(divide(X3,X3),multiply(divide(X1,divide(X4,X2)),X4))))=divide(X5,X5))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f14,f13])).
% 1.84/0.67 fof(f58,plain,(
% 1.84/0.67 ![X0,X1]: (multiply(inverse(X0),X0)=divide(X1,X1))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f5,f29])).
% 1.84/0.67 fof(f67,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,X2),X3)))=divide(X3,X1))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f29,f13])).
% 1.84/0.67 fof(f68,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,X2),X3)))=divide(X3,X1))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f29,f12])).
% 1.84/0.67 fof(f90,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2))=divide(X3,X3))),
% 1.84/0.67 inference(backward_demodulation,[status(thm)],[f67,f45])).
% 1.84/0.67 fof(f117,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,multiply(inverse(X3),X3)),X1)))=X2)),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f58,f12])).
% 1.84/0.67 fof(f139,plain,(
% 1.84/0.67 ![X0,X1,X2]: (divide(X0,X0)=divide(X1,multiply(divide(X2,X2),X1)))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f29,f68])).
% 1.84/0.67 fof(f173,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4]: (divide(divide(X0,multiply(divide(X1,X1),X0)),divide(X2,multiply(divide(X3,divide(X4,X2)),X4)))=X3)),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f68,f12])).
% 1.84/0.67 fof(f192,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4]: (divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,multiply(divide(X3,X3),X2)),X4)))=divide(X4,X1))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f139,f13])).
% 1.84/0.67 fof(f213,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,X2),divide(X3,X3))))=X1)),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f139,f16])).
% 1.84/0.67 fof(f219,plain,(
% 1.84/0.67 ![X0,X1]: (divide(divide(X0,X0),inverse(X1))=X1)),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f68,f213])).
% 1.84/0.67 fof(f221,plain,(
% 1.84/0.67 ![X0,X1,X2]: (divide(divide(X0,X0),divide(X1,X2))=divide(X2,X1))),
% 1.84/0.67 inference(backward_demodulation,[status(thm)],[f248,f68])).
% 1.84/0.67 fof(f226,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,X2),X3)))=divide(X3,X1))),
% 1.84/0.67 inference(backward_demodulation,[status(thm)],[f248,f192])).
% 1.84/0.67 fof(f230,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3)))=X2)),
% 1.84/0.67 inference(backward_demodulation,[status(thm)],[f248,f173])).
% 1.84/0.67 fof(f248,plain,(
% 1.84/0.67 ![X0,X1]: (multiply(divide(X0,X0),X1)=X1)),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f5,f219])).
% 1.84/0.67 fof(f258,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4]: (divide(multiply(divide(X0,X1),divide(X2,X2)),divide(X3,multiply(divide(X1,divide(X4,X3)),X4)))=X0)),
% 1.84/0.67 inference(backward_demodulation,[status(thm)],[f221,f15])).
% 1.84/0.67 fof(f282,plain,(
% 1.84/0.67 ![X0,X1,X2]: (divide(multiply(divide(X0,multiply(inverse(X1),X1)),X2),X2)=X0)),
% 1.84/0.67 inference(backward_demodulation,[status(thm)],[f221,f117])).
% 1.84/0.67 fof(f302,plain,(
% 1.84/0.67 ![X0,X1,X2]: (divide(multiply(inverse(X0),X0),divide(X1,X2))=divide(X2,X1))),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f248,f226])).
% 1.84/0.67 fof(f307,plain,(
% 1.84/0.67 ![X0,X1,X2]: (divide(multiply(divide(X0,divide(X1,X2)),X1),X2)=X0)),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f221,f230])).
% 1.84/0.67 fof(f335,plain,(
% 1.84/0.67 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f5,f248])).
% 1.84/0.67 fof(f354,plain,(
% 1.84/0.67 ![X0,X1,X2]: (divide(divide(X0,X0),multiply(X1,X2))=divide(inverse(X2),X1))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f5,f221])).
% 1.84/0.67 fof(f372,plain,(
% 1.84/0.67 ![X0,X1,X2]: (divide(multiply(inverse(X0),X0),multiply(X1,X2))=divide(inverse(X2),X1))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f5,f354])).
% 1.84/0.67 fof(f399,plain,(
% 1.84/0.67 ![X0,X1,X2]: (divide(multiply(inverse(X0),X0),X1)=divide(inverse(X1),multiply(inverse(X2),X2)))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f335,f372])).
% 1.84/0.67 fof(f500,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4,X5,X6]: (divide(multiply(divide(X0,X0),divide(X1,X1)),divide(X2,multiply(divide(multiply(X3,X4),divide(X5,X2)),X5)))=multiply(divide(X3,divide(X6,X4)),X6))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f90,f258])).
% 1.84/0.67 fof(f508,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4,X5,X6]: (divide(multiply(divide(multiply(divide(X0,divide(X1,X2)),X1),multiply(X0,X2)),divide(X3,X3)),divide(X4,multiply(divide(X5,divide(X6,X4)),X6)))=X5)),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f90,f258])).
% 1.84/0.67 fof(f526,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4,X5]: (divide(divide(X0,X0),divide(X1,multiply(divide(multiply(X2,X3),divide(X4,X1)),X4)))=multiply(divide(X2,divide(X5,X3)),X5))),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f248,f500])).
% 1.84/0.67 fof(f527,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4]: (divide(multiply(divide(multiply(X0,X1),divide(X2,X3)),X2),X3)=multiply(divide(X0,divide(X4,X1)),X4))),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f221,f526])).
% 1.84/0.67 fof(f562,plain,(
% 1.84/0.67 ![X0,X1,X2]: (multiply(X0,X1)=multiply(divide(X0,divide(X2,X1)),X2))),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f307,f527])).
% 1.84/0.67 fof(f573,plain,(
% 1.84/0.67 ![X0,X1,X2,X3,X4,X5]: (divide(multiply(divide(multiply(X0,X1),multiply(X0,X1)),divide(X2,X2)),divide(X3,multiply(divide(X4,divide(X5,X3)),X5)))=X4)),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f562,f508])).
% 1.84/0.67 fof(f574,plain,(
% 1.84/0.67 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3)))=X2)),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f248,f573])).
% 1.84/0.67 fof(f575,plain,(
% 1.84/0.67 ![X0,X1,X2]: (divide(multiply(divide(X0,divide(X1,X2)),X1),X2)=X0)),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f221,f574])).
% 1.84/0.67 fof(f576,plain,(
% 1.84/0.67 ![X0,X1]: (divide(X0,multiply(inverse(X1),X1))=X0)),
% 1.84/0.67 inference(backward_demodulation,[status(thm)],[f578,f282])).
% 1.84/0.67 fof(f578,plain,(
% 1.84/0.67 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 1.84/0.67 inference(forward_demodulation,[status(thm)],[f562,f575])).
% 1.84/0.67 fof(f596,plain,(
% 1.84/0.67 ![X0,X1]: (divide(multiply(inverse(X0),X0),X1)=inverse(X1))),
% 1.84/0.67 inference(backward_demodulation,[status(thm)],[f576,f399])).
% 1.84/0.67 fof(f613,plain,(
% 1.84/0.67 ![X0,X1]: (inverse(divide(X0,X1))=divide(X1,X0))),
% 1.84/0.67 inference(backward_demodulation,[status(thm)],[f596,f302])).
% 1.84/0.67 fof(f712,plain,(
% 1.84/0.67 ![X0,X1]: (inverse(X0)=divide(X1,multiply(X0,X1)))),
% 1.84/0.67 inference(paramodulation,[status(thm)],[f578,f613])).
% 1.84/0.68 fof(f1400,plain,(
% 1.84/0.68 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(divide(X0,inverse(X1)),X2))),
% 1.84/0.68 inference(paramodulation,[status(thm)],[f712,f562])).
% 1.84/0.68 fof(f1434,plain,(
% 1.84/0.68 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 1.84/0.68 inference(backward_demodulation,[status(thm)],[f1436,f6])).
% 1.84/0.68 fof(f1436,plain,(
% 1.84/0.68 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 1.84/0.68 inference(forward_demodulation,[status(thm)],[f5,f1400])).
% 1.84/0.68 fof(f1467,plain,(
% 1.84/0.68 $false),
% 1.84/0.68 inference(trivial_equality_resolution,[status(thm)],[f1434])).
% 1.84/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 10.15/11.32 % Elapsed time: 10.942924 seconds
% 10.15/11.32 % CPU time: 84.398273 seconds
% 10.15/11.32 % Total memory used: 53.009 GB
% 10.15/11.32 % Net memory used: 53.008 GB
%------------------------------------------------------------------------------