%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP591-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:34:44 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.49s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 57 ( 57 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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] : double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
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] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
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] : double_divide(multiply(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3) = X0,
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f16,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f13,f5]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(multiply(X1,X2),X3),double_divide(X3,X0))) = inverse(double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f5,f16]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(inverse(X1),multiply(multiply(inverse(X2),X3),double_divide(X3,X0))),X2)) = inverse(X1),
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(multiply(X1,X2),X3),double_divide(X3,X0))) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f5,f18]) ).
fof(f44,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X0),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f16,f15]) ).
fof(f61,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(multiply(multiply(X1,X2),multiply(inverse(X3),X3)),X0)) = multiply(X1,X2),
inference(paramodulation,[status(thm)],[f44,f21]) ).
fof(f62,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(inverse(X1),multiply(inverse(X2),X2)),X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f44,f16]) ).
fof(f63,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X2),inverse(X2)) = X0,
inference(paramodulation,[status(thm)],[f44,f13]) ).
fof(f64,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f44,f5]) ).
fof(f65,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(backward_demodulation,[status(thm)],[f64,f63]) ).
fof(f66,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f64,f62]) ).
fof(f71,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(X0,X1),X2),inverse(X2)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f65]) ).
fof(f81,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(inverse(X2),X2)) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f64]) ).
fof(f91,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(X1,X2),X0)) = multiply(X1,X2),
inference(backward_demodulation,[status(thm)],[f92,f61]) ).
fof(f92,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(inverse(X2),X2)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f5,f81]) ).
fof(f97,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X1)),inverse(X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f66,f66]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),inverse(multiply(multiply(multiply(X0,X1),X2),double_divide(X2,multiply(X3,X4))))) = double_divide(X4,X3),
inference(paramodulation,[status(thm)],[f21,f71]) ).
fof(f166,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),inverse(multiply(multiply(X0,X1),X2))) = X2,
inference(paramodulation,[status(thm)],[f91,f65]) ).
fof(f226,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f44,f166]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),inverse(multiply(X2,X3))) = multiply(multiply(multiply(X2,X3),X4),double_divide(X4,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f21,f166]) ).
fof(f236,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),inverse(inverse(X2))) = multiply(multiply(inverse(X2),X3),double_divide(X3,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f16,f166]) ).
fof(f259,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),inverse(double_divide(multiply(X2,X3),inverse(multiply(X0,X1))))) = double_divide(X3,X2),
inference(backward_demodulation,[status(thm)],[f235,f133]) ).
fof(f274,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(inverse(multiply(X0,X1)),multiply(X2,X3))) = double_divide(X3,X2),
inference(forward_demodulation,[status(thm)],[f5,f259]) ).
fof(f282,plain,
! [X0,X1,X2] : double_divide(X0,X1) = multiply(multiply(inverse(X0),X2),double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f226,f15]) ).
fof(f284,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f226,f16]) ).
fof(f285,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(paramodulation,[status(thm)],[f226,f13]) ).
fof(f298,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(X1,X0)) = multiply(multiply(inverse(X2),X2),X1),
inference(paramodulation,[status(thm)],[f226,f91]) ).
fof(f311,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),inverse(inverse(X2))) = double_divide(X2,multiply(X0,X1)),
inference(backward_demodulation,[status(thm)],[f282,f236]) ).
fof(f324,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),double_divide(X2,X0)),X2)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f282,f19]) ).
fof(f333,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f226,f298]) ).
fof(f344,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f65,f285]) ).
fof(f361,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),inverse(inverse(X0))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f344,f97]) ).
fof(f363,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),double_divide(multiply(X0,X1),inverse(multiply(X2,X3)))) = double_divide(X3,X2),
inference(backward_demodulation,[status(thm)],[f344,f274]) ).
fof(f377,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(X1,inverse(double_divide(X2,X0))),X2)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f344,f324]) ).
fof(f402,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(X1,X0))) = X1,
inference(backward_demodulation,[status(thm)],[f344,f333]) ).
fof(f443,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f311,f361]) ).
fof(f445,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,inverse(X1))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f344,f443]) ).
fof(f457,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f445,f363]) ).
fof(f488,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(X1,multiply(X0,X2)),X2)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f5,f377]) ).
fof(f538,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f457,f402]) ).
fof(f594,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f285,f538]) ).
fof(f640,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f594,f284]) ).
fof(f666,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f5,f640]) ).
fof(f1456,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(multiply(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f594,f488]) ).
fof(f1497,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1541,f6]) ).
fof(f1541,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f640,f1456]) ).
fof(f1745,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(paramodulation,[status(thm)],[f666,f1497]) ).
fof(f1747,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP591-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:18:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.49 % Refutation found
% 0.13/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.46/0.52 % Elapsed time: 0.147493 seconds
% 0.46/0.52 % CPU time: 1.019335 seconds
% 0.46/0.52 % Total memory used: 46.979 MB
% 0.46/0.52 % Net memory used: 45.671 MB
%------------------------------------------------------------------------------