%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT018-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 12:07:31 PM UTC 2026
% Result : Unsatisfiable 0.15s 10.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 39 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( product(X,Y,compose(X,Y))
| ~ defined(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Xy,Z,Yz] :
( defined(X,Yz)
| ~ defined(Xy,Z)
| ~ product(Y,Z,Yz)
| ~ product(X,Y,Xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Y,Z,Yz,X] :
( defined(X,Y)
| ~ defined(X,Yz)
| ~ product(Y,Z,Yz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] :
( defined(X,Z)
| ~ identity_map(Y)
| ~ defined(Y,Z)
| ~ defined(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : identity_map(codomain(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] : product(codomain(X),X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
defined(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
defined(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ defined(a,compose(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1] :
( product(X0,X1,compose(X0,X1))
| ~ defined(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
! [X,Yz] :
( defined(X,Yz)
| ! [Xy,Z] :
( ~ defined(Xy,Z)
| ! [Y] :
( ~ product(Y,Z,Yz)
| ~ product(X,Y,Xy) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4] :
( defined(X0,X4)
| ~ defined(X2,X3)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f31,plain,
! [Y,X] :
( defined(X,Y)
| ! [Yz] :
( ~ defined(X,Yz)
| ! [Z] : ~ product(Y,Z,Yz) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( defined(X3,X0)
| ~ defined(X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f37,plain,
! [X,Z] :
( defined(X,Z)
| ! [Y] :
( ~ identity_map(Y)
| ~ defined(Y,Z)
| ~ defined(X,Y) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f38,plain,
! [X0,X1,X2] :
( defined(X0,X2)
| ~ identity_map(X1)
| ~ defined(X1,X2)
| ~ defined(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f40,plain,
! [X0] : identity_map(codomain(X0)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f44,plain,
! [X0] : product(codomain(X0),X0,X0),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f49,plain,
defined(a,b),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f50,plain,
defined(b,c),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f51,plain,
~ defined(a,compose(b,c)),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f53,plain,
product(b,c,compose(b,c)),
inference(resolution,[status(thm)],[f50,f22]) ).
fof(f70,plain,
! [X0,X1] :
( defined(X0,compose(b,c))
| ~ defined(X1,c)
| ~ product(X0,b,X1) ),
inference(resolution,[status(thm)],[f53,f28]) ).
fof(f95,plain,
! [X0,X1] :
( defined(X0,codomain(X1))
| ~ defined(X0,X1) ),
inference(resolution,[status(thm)],[f44,f32]) ).
fof(f118,plain,
! [X0,X1,X2] :
( defined(X0,X2)
| ~ defined(codomain(X1),X2)
| ~ defined(X0,codomain(X1)) ),
inference(resolution,[status(thm)],[f38,f40]) ).
fof(f362,plain,
! [X0] :
( ~ defined(codomain(X0),compose(b,c))
| ~ defined(a,codomain(X0)) ),
inference(resolution,[status(thm)],[f118,f51]) ).
fof(f386,plain,
! [X0] :
( ~ defined(a,X0)
| ~ defined(codomain(X0),compose(b,c)) ),
inference(resolution,[status(thm)],[f362,f95]) ).
fof(f399,plain,
( defined(codomain(b),compose(b,c))
| ~ defined(b,c) ),
inference(resolution,[status(thm)],[f70,f44]) ).
fof(f403,plain,
defined(codomain(b),compose(b,c)),
inference(forward_subsumption_resolution,[status(thm)],[f399,f50]) ).
fof(f456,plain,
~ defined(a,b),
inference(resolution,[status(thm)],[f386,f403]) ).
fof(f463,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f456,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT018-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.39 % Computer : n016.cluster.edu
% 0.09/10.39 % Model : x86_64 x86_64
% 0.09/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.39 % Memory : 8046.5625MB
% 0.09/10.39 % OS : Linux 6.8.0-71-generic
% 0.09/10.39 % CPULimit : 300
% 0.09/10.39 % WCLimit : 300
% 0.09/10.39 % DateTime : Mon Sep 21 14:01:04 UTC 2026
% 0.09/10.39 % CPUTime :
% 0.15/10.40 % Drodi V4.1.1
% 0.15/10.48 % Refutation found
% 0.15/10.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/10.50 % Elapsed time: 0.098957 seconds
% 0.15/10.50 % CPU time: 0.572610 seconds
% 0.15/10.50 % Total memory used: 51.672 MB
% 0.15/10.50 % Net memory used: 50.494 MB
%------------------------------------------------------------------------------