%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP597-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 12:34:45 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(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(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,multiply(X1,inverse(X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),inverse(X3)),double_divide(X2,X1))) = X3,
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,X1),multiply(multiply(X1,multiply(X2,X3)),X0)) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f5,f13]) ).
fof(f16,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f13,f5]) ).
fof(f20,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,inverse(X2))),inverse(X2)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f63,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(inverse(X0),inverse(X1)),double_divide(double_divide(inverse(X2),X3),multiply(X3,inverse(X0)))),X2) = inverse(X1),
inference(paramodulation,[status(thm)],[f20,f16]) ).
fof(f74,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(inverse(X0),double_divide(double_divide(double_divide(inverse(inverse(X1)),X2),multiply(X2,inverse(X3))),inverse(X3)))) = X1,
inference(paramodulation,[status(thm)],[f63,f14]) ).
fof(f86,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f20,f74]) ).
fof(f98,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f86,f5]) ).
fof(f102,plain,
! [X0,X1] : multiply(inverse(X0),double_divide(X1,inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f98,f16]) ).
fof(f103,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f98,f13]) ).
fof(f125,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(X2,inverse(X2))) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f102]) ).
fof(f135,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(X2,inverse(X2))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f5,f125]) ).
fof(f165,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(double_divide(X1,inverse(X1))),inverse(X0)),
inference(paramodulation,[status(thm)],[f98,f135]) ).
fof(f193,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X1),X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f5,f165]) ).
fof(f220,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(inverse(X0),multiply(inverse(X1),X1)),inverse(X2)),inverse(X2)) = X0,
inference(paramodulation,[status(thm)],[f193,f20]) ).
fof(f227,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0)) = double_divide(inverse(X2),multiply(inverse(X3),X3)),
inference(paramodulation,[status(thm)],[f193,f15]) ).
fof(f233,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(X1)),inverse(X1)) = X0,
inference(backward_demodulation,[status(thm)],[f235,f220]) ).
fof(f235,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f13,f227]) ).
fof(f309,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f103,f233]) ).
fof(f358,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(double_divide(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f309,f5]) ).
fof(f380,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f5,f358]) ).
fof(f381,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP597-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n005.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 20:17:33 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.48 % Refutation found
% 0.13/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.78/1.72 % Elapsed time: 1.146708 seconds
% 7.78/1.72 % CPU time: 0.806511 seconds
% 7.78/1.72 % Total memory used: 42.258 MB
% 7.78/1.72 % Net memory used: 41.782 MB
%------------------------------------------------------------------------------