%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP539-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 12:34:37 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% 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 : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 99 ( 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,B),divide(divide(A,C),B)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : inverse(A) = divide(divide(B,B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(X0,X1),divide(divide(X0,X2),X1)) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f17,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f9,f8]) ).
fof(f18,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(paramodulation,[status(thm)],[f16,f9]) ).
fof(f20,plain,
! [X0] : inverse(inverse(X0)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f21,plain,
inverse(identity) = identity,
inference(paramodulation,[status(thm)],[f9,f17]) ).
fof(f26,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,multiply(identity,X1)),
inference(paramodulation,[status(thm)],[f20,f16]) ).
fof(f68,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(paramodulation,[status(thm)],[f21,f16]) ).
fof(f307,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),divide(divide(X0,X2),inverse(X1))) = X2,
inference(paramodulation,[status(thm)],[f16,f6]) ).
fof(f308,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f317,plain,
! [X0,X1] : divide(divide(X0,X1),divide(identity,X1)) = X0,
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f321,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),multiply(divide(X0,X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f16,f307]) ).
fof(f322,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f17,f308]) ).
fof(f327,plain,
! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f17,f317]) ).
fof(f328,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f16,f327]) ).
fof(f329,plain,
! [X0] : divide(divide(X0,identity),identity) = X0,
inference(paramodulation,[status(thm)],[f68,f328]) ).
fof(f330,plain,
! [X0,X1,X2] : multiply(X0,divide(divide(X1,X0),X2)) = divide(X1,X2),
inference(paramodulation,[status(thm)],[f6,f328]) ).
fof(f334,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f9,f328]) ).
fof(f347,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(backward_demodulation,[status(thm)],[f334,f26]) ).
fof(f445,plain,
! [X0,X1] : divide(X0,divide(divide(divide(X0,identity),X1),identity)) = X1,
inference(paramodulation,[status(thm)],[f329,f6]) ).
fof(f454,plain,
! [X0] : identity = divide(inverse(inverse(X0)),X0),
inference(paramodulation,[status(thm)],[f18,f347]) ).
fof(f467,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f454,f328]) ).
fof(f477,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f334,f467]) ).
fof(f494,plain,
! [X0] : inverse(divide(inverse(X0),identity)) = X0,
inference(paramodulation,[status(thm)],[f17,f322]) ).
fof(f497,plain,
! [X0,X1] : divide(divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f322,f477]) ).
fof(f510,plain,
! [X0] : inverse(divide(X0,identity)) = divide(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f494,f494]) ).
fof(f511,plain,
! [X0] : inverse(divide(X0,identity)) = inverse(X0),
inference(paramodulation,[status(thm)],[f477,f494]) ).
fof(f519,plain,
! [X0] : divide(inverse(X0),identity) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f510,f511]) ).
fof(f528,plain,
! [X0] : divide(X0,identity) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f477,f519]) ).
fof(f537,plain,
! [X0,X1] : divide(X0,divide(divide(X0,identity),X1)) = X1,
inference(backward_demodulation,[status(thm)],[f539,f445]) ).
fof(f539,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f477,f528]) ).
fof(f544,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f539,f537]) ).
fof(f655,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f328,f321]) ).
fof(f693,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f655,f328]) ).
fof(f700,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f693,f10]) ).
fof(f735,plain,
! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f16,f544]) ).
fof(f803,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f655,f330]) ).
fof(f839,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f693,f735]) ).
fof(f863,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f839,f497]) ).
fof(f865,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(paramodulation,[status(thm)],[f544,f497]) ).
fof(f898,plain,
! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
inference(paramodulation,[status(thm)],[f865,f347]) ).
fof(f918,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),X2) = divide(X0,divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f803,f898]) ).
fof(f973,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f863,f16]) ).
fof(f1047,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = divide(X0,divide(inverse(X2),X1)),
inference(paramodulation,[status(thm)],[f16,f918]) ).
fof(f1074,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f973,f1047]) ).
fof(f1173,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f693,f1074]) ).
fof(f1201,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1173,f700]) ).
fof(f1244,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[status(thm)],[f693,f1201]) ).
fof(f1245,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP539-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:17:03 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.48/1.62 % Elapsed time: 1.037685 seconds
% 1.48/1.62 % CPU time: 0.145509 seconds
% 1.48/1.62 % Total memory used: 5.178 MB
% 1.48/1.62 % Net memory used: 5.019 MB
%------------------------------------------------------------------------------