%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT033+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:07:36 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 11 unt; 0 def)
% Number of atoms : 83 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 86 ( 34 ~; 31 |; 11 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_cat_1(A))
=> m2_cat_1(k20_ens_1(A,B),A,k1_yoneda_1(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ! [B] :
( m1_subset_1(B,u1_cat_1(A))
=> m2_cat_1(k20_ens_1(A,B),A,k1_yoneda_1(A)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f32,axiom,
! [A,B] : r1_tarski(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> ~ v1_xboole_0(k17_ens_1(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A] :
( ( l1_cat_1(A)
& v2_cat_1(A) )
=> k1_yoneda_1(A) = k12_ens_1(k17_ens_1(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B] :
( ( l1_cat_1(B)
& v2_cat_1(B) )
=> ! [C] :
( m1_subset_1(C,u1_cat_1(B))
=> ( r1_tarski(k17_ens_1(B),A)
=> m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,plain,
? [A] :
( ? [B] :
( ~ m2_cat_1(k20_ens_1(A,B),A,k1_yoneda_1(A))
& m1_subset_1(B,u1_cat_1(A)) )
& l1_cat_1(A)
& v2_cat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f56,plain,
( ~ m2_cat_1(k20_ens_1(sK0_skl,sK1_skl),sK0_skl,k1_yoneda_1(sK0_skl))
& m1_subset_1(sK1_skl,u1_cat_1(sK0_skl))
& l1_cat_1(sK0_skl)
& v2_cat_1(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f55]) ).
fof(f57,plain,
v2_cat_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
l1_cat_1(sK0_skl),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f59,plain,
m1_subset_1(sK1_skl,u1_cat_1(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f60,plain,
~ m2_cat_1(k20_ens_1(sK0_skl,sK1_skl),sK0_skl,k1_yoneda_1(sK0_skl)),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f134,plain,
! [A] : r1_tarski(A,A),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f135,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f163,plain,
! [A] :
( ~ v1_xboole_0(k17_ens_1(A))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f164,plain,
! [X0] :
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f180,plain,
! [A] :
( k1_yoneda_1(A) = k12_ens_1(k17_ens_1(A))
| ~ l1_cat_1(A)
| ~ v2_cat_1(A) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f181,plain,
! [X0] :
( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f182,plain,
! [A] :
( ! [B] :
( ! [C] :
( m2_cat_1(k20_ens_1(B,C),B,k12_ens_1(A))
| ~ r1_tarski(k17_ens_1(B),A)
| ~ m1_subset_1(C,u1_cat_1(B)) )
| ~ l1_cat_1(B)
| ~ v2_cat_1(B) )
| v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f183,plain,
! [X0,X1,X2] :
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(X1),X0)
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[status(thm)],[f182]) ).
fof(f197,plain,
( k1_yoneda_1(sK0_skl) = k12_ens_1(k17_ens_1(sK0_skl))
| ~ l1_cat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f181,f57]) ).
fof(f199,plain,
k1_yoneda_1(sK0_skl) = k12_ens_1(k17_ens_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f197,f58]) ).
fof(f565,plain,
! [X0] :
( m2_cat_1(k20_ens_1(sK0_skl,sK1_skl),sK0_skl,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(sK0_skl),X0)
| ~ l1_cat_1(sK0_skl)
| ~ v2_cat_1(sK0_skl)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f183,f59]) ).
fof(f566,plain,
! [X0] :
( m2_cat_1(k20_ens_1(sK0_skl,sK1_skl),sK0_skl,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(sK0_skl),X0)
| ~ l1_cat_1(sK0_skl)
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f565,f57]) ).
fof(f593,plain,
! [X0] :
( m2_cat_1(k20_ens_1(sK0_skl,sK1_skl),sK0_skl,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(sK0_skl),X0)
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f566,f58]) ).
fof(f594,plain,
( m2_cat_1(k20_ens_1(sK0_skl,sK1_skl),sK0_skl,k12_ens_1(k17_ens_1(sK0_skl)))
| v1_xboole_0(k17_ens_1(sK0_skl)) ),
inference(resolution,[status(thm)],[f593,f135]) ).
fof(f595,plain,
( m2_cat_1(k20_ens_1(sK0_skl,sK1_skl),sK0_skl,k1_yoneda_1(sK0_skl))
| v1_xboole_0(k17_ens_1(sK0_skl)) ),
inference(forward_demodulation,[status(thm)],[f199,f594]) ).
fof(f596,plain,
v1_xboole_0(k17_ens_1(sK0_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f595,f60]) ).
fof(f602,plain,
( ~ l1_cat_1(sK0_skl)
| ~ v2_cat_1(sK0_skl) ),
inference(resolution,[status(thm)],[f596,f164]) ).
fof(f606,plain,
~ l1_cat_1(sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f602,f57]) ).
fof(f607,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f606,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT033+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 14:01:10 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44 % Elapsed time: 0.062454 seconds
% 0.09/0.44 % CPU time: 0.237657 seconds
% 0.09/0.44 % Total memory used: 85.788 MB
% 0.09/0.44 % Net memory used: 85.581 MB
%------------------------------------------------------------------------------