TSTP Solution File: CAT033+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : CAT033+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 18:14:22 EDT 2023
% Result : Theorem 0.54s 0.64s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 46
% Syntax : Number of formulae : 65 ( 9 unt; 41 typ; 0 def)
% Number of atoms : 70 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 75 ( 29 ~; 21 |; 10 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 53 ( 32 >; 21 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 9 con; 0-6 aty)
% Number of variables : 29 ( 1 sgn; 21 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v2_cat_1: $i > $o ).
tff(decl_23,type,
l1_cat_1: $i > $o ).
tff(decl_24,type,
u1_cat_1: $i > $i ).
tff(decl_25,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_26,type,
k20_ens_1: ( $i * $i ) > $i ).
tff(decl_27,type,
k1_yoneda_1: $i > $i ).
tff(decl_28,type,
m2_cat_1: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
v1_relat_1: $i > $o ).
tff(decl_30,type,
v1_funct_1: $i > $o ).
tff(decl_31,type,
v2_funct_1: $i > $o ).
tff(decl_32,type,
v1_xboole_0: $i > $o ).
tff(decl_33,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_36,type,
g1_cat_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
v1_cat_1: $i > $o ).
tff(decl_38,type,
u3_cat_1: $i > $i ).
tff(decl_39,type,
u2_cat_1: $i > $i ).
tff(decl_40,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
u4_cat_1: $i > $i ).
tff(decl_42,type,
u5_cat_1: $i > $i ).
tff(decl_43,type,
u6_cat_1: $i > $i ).
tff(decl_44,type,
k1_zfmisc_1: $i > $i ).
tff(decl_45,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_46,type,
k1_xboole_0: $i ).
tff(decl_47,type,
k2_ens_1: $i > $i ).
tff(decl_48,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_49,type,
k12_ens_1: $i > $i ).
tff(decl_50,type,
k17_ens_1: $i > $i ).
tff(decl_51,type,
esk1_0: $i ).
tff(decl_52,type,
esk2_0: $i ).
tff(decl_53,type,
esk3_0: $i ).
tff(decl_54,type,
esk4_0: $i ).
tff(decl_55,type,
esk5_0: $i ).
tff(decl_56,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk8_0: $i ).
tff(decl_59,type,
esk9_1: $i > $i ).
tff(decl_60,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk11_0: $i ).
tff(decl_62,type,
esk12_0: $i ).
fof(t2_yoneda_1,conjecture,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X1))
=> m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yoneda_1) ).
fof(t49_ens_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X2))
=> ( r1_tarski(k17_ens_1(X2),X1)
=> m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_ens_1) ).
fof(fc5_ens_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ~ v1_xboole_0(k17_ens_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_ens_1) ).
fof(d1_yoneda_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> k1_yoneda_1(X1) = k12_ens_1(k17_ens_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yoneda_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X1))
=> m2_cat_1(k20_ens_1(X1,X2),X1,k1_yoneda_1(X1)) ) ),
inference(assume_negation,[status(cth)],[t2_yoneda_1]) ).
fof(c_0_6,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_cat_1(X2))
=> ( r1_tarski(k17_ens_1(X2),X1)
=> m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t49_ens_1]) ).
fof(c_0_7,plain,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ~ v1_xboole_0(k17_ens_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc5_ens_1]) ).
fof(c_0_8,negated_conjecture,
( v2_cat_1(esk1_0)
& l1_cat_1(esk1_0)
& m1_subset_1(esk2_0,u1_cat_1(esk1_0))
& ~ m2_cat_1(k20_ens_1(esk1_0,esk2_0),esk1_0,k1_yoneda_1(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,plain,
! [X98] :
( ~ v2_cat_1(X98)
| ~ l1_cat_1(X98)
| k1_yoneda_1(X98) = k12_ens_1(k17_ens_1(X98)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_yoneda_1])]) ).
fof(c_0_10,plain,
! [X99,X100,X101] :
( v1_xboole_0(X99)
| ~ v2_cat_1(X100)
| ~ l1_cat_1(X100)
| ~ m1_subset_1(X101,u1_cat_1(X100))
| ~ r1_tarski(k17_ens_1(X100),X99)
| m2_cat_1(k20_ens_1(X100,X101),X100,k12_ens_1(X99)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_11,plain,
! [X71] : r1_tarski(X71,X71),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_12,plain,
! [X88] :
( ~ v2_cat_1(X88)
| ~ l1_cat_1(X88)
| ~ v1_xboole_0(k17_ens_1(X88)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
cnf(c_0_13,negated_conjecture,
~ m2_cat_1(k20_ens_1(esk1_0,esk2_0),esk1_0,k1_yoneda_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( k1_yoneda_1(X1) = k12_ens_1(k17_ens_1(X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( v1_xboole_0(X1)
| m2_cat_1(k20_ens_1(X2,X3),X2,k12_ens_1(X1))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m1_subset_1(X3,u1_cat_1(X2))
| ~ r1_tarski(k17_ens_1(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v1_xboole_0(k17_ens_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
~ m2_cat_1(k20_ens_1(esk1_0,esk2_0),esk1_0,k12_ens_1(k17_ens_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_21,plain,
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(k17_ens_1(X1)))
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
m1_subset_1(esk2_0,u1_cat_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT033+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 01:12:26 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.54/0.64 % Version : CSE_E---1.5
% 0.54/0.64 % Problem : theBenchmark.p
% 0.54/0.64 % Proof found
% 0.54/0.64 % SZS status Theorem for theBenchmark.p
% 0.54/0.64 % SZS output start Proof
% See solution above
% 0.54/0.65 % Total time : 0.056000 s
% 0.54/0.65 % SZS output end Proof
% 0.54/0.65 % Total time : 0.058000 s
%------------------------------------------------------------------------------