%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP559-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:34:40 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.53s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of formulae : 58 ( 58 unt; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 148 ( 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,inverse(divide(divide(B,C),divide(A,C)))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2)))) = X1,
inference(paramodulation,[status(thm)],[f5,f12]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),multiply(X0,X2))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f13]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,multiply(X0,divide(multiply(X1,X2),multiply(X3,X2))))) = X3,
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,multiply(X0,divide(divide(X1,X2),divide(X3,X2))))) = X3,
inference(paramodulation,[status(thm)],[f12,f15]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(X1,divide(multiply(X2,X3),multiply(X0,X3))),X2)) = X1,
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f20,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(X1,divide(divide(X2,X3),divide(X0,X3))),X2)) = X1,
inference(paramodulation,[status(thm)],[f12,f15]) ).
fof(f21,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f12,f18]) ).
fof(f42,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f21,f17]) ).
fof(f55,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f42]) ).
fof(f91,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f42,f55]) ).
fof(f92,plain,
! [X0,X1] : multiply(inverse(divide(X0,X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f21,f55]) ).
fof(f107,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(divide(X0,X1)),
inference(paramodulation,[status(thm)],[f91,f55]) ).
fof(f112,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f107,f91]) ).
fof(f123,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(backward_demodulation,[status(thm)],[f107,f92]) ).
fof(f164,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(divide(X0,X2),divide(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f12,f112]) ).
fof(f166,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f21,f112]) ).
fof(f174,plain,
! [X0,X1,X2] : X0 = divide(divide(X0,X1),divide(multiply(inverse(X2),X2),X1)),
inference(paramodulation,[status(thm)],[f12,f123]) ).
fof(f225,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(X1,X1),X2)) = inverse(divide(multiply(X2,X3),multiply(X0,X3))),
inference(paramodulation,[status(thm)],[f166,f19]) ).
fof(f256,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(X1,X1),X2)) = multiply(inverse(multiply(X2,X3)),multiply(X0,X3)),
inference(forward_demodulation,[status(thm)],[f107,f225]) ).
fof(f272,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,divide(divide(X1,X2),divide(multiply(inverse(X3),X3),X2))),X1) = X0,
inference(paramodulation,[status(thm)],[f123,f20]) ).
fof(f275,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,divide(divide(inverse(X2),X3),divide(X0,X3))),X2)) = X1,
inference(paramodulation,[status(thm)],[f5,f20]) ).
fof(f289,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = divide(multiply(X0,divide(divide(X2,X3),divide(inverse(X1),X3))),X2),
inference(paramodulation,[status(thm)],[f20,f112]) ).
fof(f296,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f174,f272]) ).
fof(f311,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(multiply(X0,multiply(X2,X1)),X2),
inference(forward_demodulation,[status(thm)],[f164,f289]) ).
fof(f373,plain,
! [X0,X1] : divide(X0,X1) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f112,f296]) ).
fof(f374,plain,
! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f55,f296]) ).
fof(f375,plain,
! [X0,X1] : divide(divide(X0,X0),X1) = inverse(X1),
inference(paramodulation,[status(thm)],[f166,f296]) ).
fof(f378,plain,
! [X0,X1,X2,X3] : divide(X0,divide(multiply(X0,divide(multiply(X1,X2),multiply(X3,X2))),X1)) = X3,
inference(paramodulation,[status(thm)],[f19,f296]) ).
fof(f387,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f296,f42]) ).
fof(f397,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(X1,X1),X2)) = divide(multiply(X0,X3),multiply(X2,X3)),
inference(backward_demodulation,[status(thm)],[f373,f256]) ).
fof(f431,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f387,f6]) ).
fof(f433,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,divide(divide(inverse(X1),X3),divide(X0,X3))))) = X2,
inference(backward_demodulation,[status(thm)],[f387,f275]) ).
fof(f439,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(X0,multiply(X1,inverse(X2))),X1)) = X2,
inference(backward_demodulation,[status(thm)],[f444,f378]) ).
fof(f444,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = divide(multiply(X0,X2),multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f375,f397]) ).
fof(f480,plain,
! [X0,X1] : divide(X0,multiply(X0,inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f311,f439]) ).
fof(f481,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f374,f480]) ).
fof(f488,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f481,f5]) ).
fof(f584,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f42,f374]) ).
fof(f586,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f387,f374]) ).
fof(f626,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f584]) ).
fof(f629,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f584,f488]) ).
fof(f644,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,divide(X2,divide(divide(X0,X3),divide(inverse(X1),X3))))) = X2,
inference(backward_demodulation,[status(thm)],[f629,f433]) ).
fof(f664,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(X1,divide(divide(divide(X0,X2),divide(inverse(X1),X2)),X3))) = X3,
inference(forward_demodulation,[status(thm)],[f629,f644]) ).
fof(f665,plain,
! [X0,X1,X2,X3] : divide(X0,divide(divide(divide(divide(X0,X1),divide(inverse(X2),X1)),X3),X2)) = X3,
inference(forward_demodulation,[status(thm)],[f629,f664]) ).
fof(f666,plain,
! [X0,X1,X2] : divide(X0,divide(divide(multiply(X0,X1),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f164,f665]) ).
fof(f789,plain,
! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = multiply(X1,multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f586,f666]) ).
fof(f998,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f626,f5]) ).
fof(f1007,plain,
multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1008,f431]) ).
fof(f1008,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f789,f998]) ).
fof(f1009,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[status(thm)],[f1008,f1007]) ).
fof(f1010,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1009]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP559-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.51 % Computer : n020.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8046.5625MB
% 0.09/0.51 % OS : Linux 6.8.0-71-generic
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Sun Sep 20 20:17:32 UTC 2026
% 0.09/0.51 % CPUTime :
% 0.09/0.52 % Drodi V4.1.1
% 0.09/0.53 % Refutation found
% 0.09/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.39/1.77 % Elapsed time: 1.041121 seconds
% 1.39/1.77 % CPU time: 0.098568 seconds
% 1.39/1.77 % Total memory used: 4.197 MB
% 1.39/1.77 % Net memory used: 4.057 MB
%------------------------------------------------------------------------------