TSTP Solution File: CAT026+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : CAT026+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 : n014.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 18:14:18 EDT 2023
% Result : Theorem 0.96s 1.06s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 50
% Syntax : Number of formulae : 105 ( 11 unt; 40 typ; 0 def)
% Number of atoms : 475 ( 16 equ)
% Maximal formula atoms : 18 ( 7 avg)
% Number of connectives : 749 ( 339 ~; 323 |; 53 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 31 >; 34 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 27 ( 27 usr; 9 con; 0-5 aty)
% Number of variables : 187 ( 1 sgn; 74 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v2_cat_1: $i > $o ).
tff(decl_23,type,
l1_cat_1: $i > $o ).
tff(decl_24,type,
k11_cat_2: ( $i * $i ) > $i ).
tff(decl_25,type,
m2_cat_1: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
r2_nattra_1: ( $i * $i * $i * $i ) > $o ).
tff(decl_27,type,
k11_isocat_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
k12_isocat_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_29,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_30,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_31,type,
k1_xboole_0: $i ).
tff(decl_32,type,
v1_xboole_0: $i > $o ).
tff(decl_33,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_34,type,
k1_zfmisc_1: $i > $i ).
tff(decl_35,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
k16_cat_2: ( $i * $i ) > $i ).
tff(decl_37,type,
k17_cat_2: ( $i * $i ) > $i ).
tff(decl_38,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_39,type,
v1_relat_1: $i > $o ).
tff(decl_40,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
k8_isocat_2: ( $i * $i ) > $i ).
tff(decl_42,type,
k9_isocat_2: ( $i * $i ) > $i ).
tff(decl_43,type,
k5_relat_1: ( $i * $i ) > $i ).
tff(decl_44,type,
u2_cat_1: $i > $i ).
tff(decl_45,type,
k2_isocat_1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
v1_funct_1: $i > $o ).
tff(decl_47,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
esk1_0: $i ).
tff(decl_49,type,
esk2_0: $i ).
tff(decl_50,type,
esk3_0: $i ).
tff(decl_51,type,
esk4_0: $i ).
tff(decl_52,type,
esk5_0: $i ).
tff(decl_53,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk7_1: $i > $i ).
tff(decl_55,type,
esk8_1: $i > $i ).
tff(decl_56,type,
esk9_0: $i ).
tff(decl_57,type,
esk10_1: $i > $i ).
tff(decl_58,type,
esk11_0: $i ).
tff(decl_59,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk13_0: $i ).
tff(decl_61,type,
esk14_2: ( $i * $i ) > $i ).
fof(redefinition_k2_isocat_1,axiom,
! [X1,X2,X3,X4,X5] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& v2_cat_1(X3)
& l1_cat_1(X3)
& m2_cat_1(X4,X1,X2)
& m2_cat_1(X5,X2,X3) )
=> k2_isocat_1(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_isocat_1) ).
fof(d8_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(dt_k11_cat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ( v2_cat_1(k11_cat_2(X1,X2))
& l1_cat_1(k11_cat_2(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(dt_k9_isocat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(t38_isocat_2,conjecture,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ( r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
=> ( r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
& r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_isocat_2) ).
fof(t27_isocat_1,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,X2)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X2,X3)
=> ! [X7] :
( m2_cat_1(X7,X2,X3)
=> ( ( r2_nattra_1(X1,X2,X4,X5)
& r2_nattra_1(X2,X3,X6,X7) )
=> r2_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X6),k2_isocat_1(X1,X2,X3,X5,X7)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_isocat_1) ).
fof(reflexivity_r2_nattra_1,axiom,
! [X1,X2,X3,X4] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2)
& m2_cat_1(X3,X1,X2)
& m2_cat_1(X4,X1,X2) )
=> r2_nattra_1(X1,X2,X3,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(existence_m2_cat_1,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> ? [X3] : m2_cat_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_cat_1) ).
fof(d7_isocat_2,axiom,
! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(dt_k8_isocat_2,axiom,
! [X1,X2] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(c_0_10,plain,
! [X82,X83,X84,X85,X86] :
( ~ v2_cat_1(X82)
| ~ l1_cat_1(X82)
| ~ v2_cat_1(X83)
| ~ l1_cat_1(X83)
| ~ v2_cat_1(X84)
| ~ l1_cat_1(X84)
| ~ m2_cat_1(X85,X82,X83)
| ~ m2_cat_1(X86,X83,X84)
| k2_isocat_1(X82,X83,X84,X85,X86) = k5_relat_1(X85,X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_isocat_1])]) ).
fof(c_0_11,plain,
! [X109,X110,X111,X112] :
( ~ v2_cat_1(X109)
| ~ l1_cat_1(X109)
| ~ v2_cat_1(X110)
| ~ l1_cat_1(X110)
| ~ v2_cat_1(X111)
| ~ l1_cat_1(X111)
| ~ m2_cat_1(X112,X109,k11_cat_2(X110,X111))
| k12_isocat_2(X109,X110,X111,X112) = k2_isocat_1(X109,k11_cat_2(X110,X111),X111,X112,k9_isocat_2(X110,X111)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d8_isocat_2])])]) ).
fof(c_0_12,plain,
! [X87,X88] :
( ( v2_cat_1(k11_cat_2(X87,X88))
| ~ v2_cat_1(X87)
| ~ l1_cat_1(X87)
| ~ v2_cat_1(X88)
| ~ l1_cat_1(X88) )
& ( l1_cat_1(k11_cat_2(X87,X88))
| ~ v2_cat_1(X87)
| ~ l1_cat_1(X87)
| ~ v2_cat_1(X88)
| ~ l1_cat_1(X88) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k11_cat_2])])]) ).
fof(c_0_13,plain,
! [X68,X69] :
( ~ v2_cat_1(X68)
| ~ l1_cat_1(X68)
| ~ v2_cat_1(X69)
| ~ l1_cat_1(X69)
| m2_cat_1(k9_isocat_2(X68,X69),k11_cat_2(X68,X69),X69) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_isocat_2])]) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( ( v2_cat_1(X3)
& l1_cat_1(X3) )
=> ! [X4] :
( m2_cat_1(X4,X1,k11_cat_2(X2,X3))
=> ! [X5] :
( m2_cat_1(X5,X1,k11_cat_2(X2,X3))
=> ( r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
=> ( r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k11_isocat_2(X1,X2,X3,X5))
& r2_nattra_1(X1,X3,k12_isocat_2(X1,X2,X3,X4),k12_isocat_2(X1,X2,X3,X5)) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t38_isocat_2]) ).
cnf(c_0_15,plain,
( k2_isocat_1(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( k12_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X3,X4,k9_isocat_2(X2,X3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( v2_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,negated_conjecture,
( v2_cat_1(esk1_0)
& l1_cat_1(esk1_0)
& v2_cat_1(esk2_0)
& l1_cat_1(esk2_0)
& v2_cat_1(esk3_0)
& l1_cat_1(esk3_0)
& m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0))
& m2_cat_1(esk5_0,esk1_0,k11_cat_2(esk2_0,esk3_0))
& r2_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0)
& ( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
cnf(c_0_21,plain,
( k12_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k9_isocat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(esk1_0,esk3_0,k12_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,plain,
( k12_isocat_2(X1,X2,X3,X4) = k12_isocat_2(X5,X2,X3,X4)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X5,k11_cat_2(X2,X3))
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X5) ),
inference(spm,[status(thm)],[c_0_21,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
m2_cat_1(esk4_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
l1_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
l1_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
l1_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
v2_cat_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
v2_cat_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_30,negated_conjecture,
v2_cat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
( k2_isocat_1(X1,X2,X3,X4,X5) = k2_isocat_1(X6,X7,X8,X4,X5)
| ~ m2_cat_1(X5,X2,X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X7,X8)
| ~ m2_cat_1(X4,X6,X7)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X8)
| ~ l1_cat_1(X7)
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X8)
| ~ v2_cat_1(X7)
| ~ v2_cat_1(X6) ),
inference(spm,[status(thm)],[c_0_15,c_0_15]) ).
fof(c_0_32,plain,
! [X113,X114,X115,X116,X117,X118,X119] :
( ~ v2_cat_1(X113)
| ~ l1_cat_1(X113)
| ~ v2_cat_1(X114)
| ~ l1_cat_1(X114)
| ~ v2_cat_1(X115)
| ~ l1_cat_1(X115)
| ~ m2_cat_1(X116,X113,X114)
| ~ m2_cat_1(X117,X113,X114)
| ~ m2_cat_1(X118,X114,X115)
| ~ m2_cat_1(X119,X114,X115)
| ~ r2_nattra_1(X113,X114,X116,X117)
| ~ r2_nattra_1(X114,X115,X118,X119)
| r2_nattra_1(X113,X115,k2_isocat_1(X113,X114,X115,X116,X118),k2_isocat_1(X113,X114,X115,X117,X119)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t27_isocat_1])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(esk1_0,esk3_0,k12_isocat_2(X1,esk2_0,esk3_0,esk4_0),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30])]) ).
cnf(c_0_34,plain,
( k2_isocat_1(X1,X2,X3,X4,k9_isocat_2(X5,X6)) = k12_isocat_2(X7,X5,X6,X4)
| ~ m2_cat_1(X4,X7,k11_cat_2(X5,X6))
| ~ m2_cat_1(k9_isocat_2(X5,X6),X2,X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X6)
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X7)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X6)
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X7)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_31]),c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_35,plain,
( r2_nattra_1(X1,X3,k2_isocat_1(X1,X2,X3,X4,X6),k2_isocat_1(X1,X2,X3,X5,X7))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ m2_cat_1(X5,X1,X2)
| ~ m2_cat_1(X6,X2,X3)
| ~ m2_cat_1(X7,X2,X3)
| ~ r2_nattra_1(X1,X2,X4,X5)
| ~ r2_nattra_1(X2,X3,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,plain,
! [X74,X75,X76,X77] :
( ~ v2_cat_1(X74)
| ~ l1_cat_1(X74)
| ~ v2_cat_1(X75)
| ~ l1_cat_1(X75)
| ~ m2_cat_1(X76,X74,X75)
| ~ m2_cat_1(X77,X74,X75)
| r2_nattra_1(X74,X75,X76,X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r2_nattra_1])]) ).
fof(c_0_37,plain,
! [X79,X80] :
( ~ v2_cat_1(X79)
| ~ l1_cat_1(X79)
| ~ v2_cat_1(X80)
| ~ l1_cat_1(X80)
| m2_cat_1(esk14_2(X79,X80),X79,X80) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_m2_cat_1])])]) ).
fof(c_0_38,plain,
! [X105,X106,X107,X108] :
( ~ v2_cat_1(X105)
| ~ l1_cat_1(X105)
| ~ v2_cat_1(X106)
| ~ l1_cat_1(X106)
| ~ v2_cat_1(X107)
| ~ l1_cat_1(X107)
| ~ m2_cat_1(X108,X105,k11_cat_2(X106,X107))
| k11_isocat_2(X105,X106,X107,X108) = k2_isocat_1(X105,k11_cat_2(X106,X107),X106,X108,k8_isocat_2(X106,X107)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_isocat_2])])]) ).
fof(c_0_39,plain,
! [X66,X67] :
( ~ v2_cat_1(X66)
| ~ l1_cat_1(X66)
| ~ v2_cat_1(X67)
| ~ l1_cat_1(X67)
| m2_cat_1(k8_isocat_2(X66,X67),k11_cat_2(X66,X67),X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_isocat_2])]) ).
cnf(c_0_40,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk3_0,k2_isocat_1(X1,X2,X3,esk4_0,k9_isocat_2(esk2_0,esk3_0)),k12_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ m2_cat_1(esk4_0,X4,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),X2,X3)
| ~ m2_cat_1(esk4_0,X1,X2)
| ~ l1_cat_1(X4)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X4)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25]),c_0_26]),c_0_28]),c_0_29])]) ).
cnf(c_0_41,plain,
( r2_nattra_1(X1,X2,k2_isocat_1(X1,k11_cat_2(X3,X2),X2,X4,X5),k12_isocat_2(X1,X3,X2,X6))
| ~ r2_nattra_1(k11_cat_2(X3,X2),X2,X5,k9_isocat_2(X3,X2))
| ~ r2_nattra_1(X1,k11_cat_2(X3,X2),X4,X6)
| ~ m2_cat_1(X5,k11_cat_2(X3,X2),X2)
| ~ m2_cat_1(X6,X1,k11_cat_2(X3,X2))
| ~ m2_cat_1(X4,X1,k11_cat_2(X3,X2))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_16]),c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_42,negated_conjecture,
r2_nattra_1(esk1_0,k11_cat_2(esk2_0,esk3_0),esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_43,negated_conjecture,
m2_cat_1(esk5_0,esk1_0,k11_cat_2(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_44,plain,
( r2_nattra_1(X1,X2,X3,X3)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X1,X2)
| ~ m2_cat_1(X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( m2_cat_1(esk14_2(X1,X2),X1,X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( k11_isocat_2(X1,X2,X3,X4) = k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X4,k8_isocat_2(X2,X3))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X3)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
( m2_cat_1(k8_isocat_2(X1,X2),k11_cat_2(X1,X2),X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ r2_nattra_1(k11_cat_2(esk2_0,esk3_0),esk3_0,k9_isocat_2(esk2_0,esk3_0),k9_isocat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_24]),c_0_25]),c_0_27]),c_0_28]),c_0_30]),c_0_42]),c_0_43]),c_0_26]),c_0_29])]) ).
cnf(c_0_49,plain,
( r2_nattra_1(X1,X2,X3,X3)
| ~ m2_cat_1(X3,X1,X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
( k11_isocat_2(X1,X2,X3,X4) = k5_relat_1(X4,k8_isocat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_46]),c_0_17]),c_0_18]),c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(esk1_0,esk2_0,esk3_0,esk5_0))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_25]),c_0_28])]) ).
cnf(c_0_52,plain,
( k11_isocat_2(X1,X2,X3,X4) = k11_isocat_2(X5,X2,X3,X4)
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X5,k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X5) ),
inference(spm,[status(thm)],[c_0_50,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k11_isocat_2(X1,esk2_0,esk3_0,esk5_0))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ m2_cat_1(esk4_0,X2,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(esk5_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_43]),c_0_26]),c_0_27]),c_0_25]),c_0_29]),c_0_30]),c_0_28])]) ).
cnf(c_0_54,plain,
( k2_isocat_1(X1,X2,X3,X4,k8_isocat_2(X5,X6)) = k11_isocat_2(X7,X5,X6,X4)
| ~ m2_cat_1(X4,X7,k11_cat_2(X5,X6))
| ~ m2_cat_1(k8_isocat_2(X5,X6),X2,X3)
| ~ m2_cat_1(X4,X1,X2)
| ~ l1_cat_1(X6)
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X7)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X6)
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X7)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_31]),c_0_17]),c_0_18]),c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( ~ r2_nattra_1(esk1_0,esk2_0,k11_isocat_2(esk1_0,esk2_0,esk3_0,esk4_0),k2_isocat_1(X1,X2,X3,esk5_0,k8_isocat_2(esk2_0,esk3_0)))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ m2_cat_1(esk4_0,X4,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(esk5_0,X5,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k8_isocat_2(esk2_0,esk3_0),X2,X3)
| ~ m2_cat_1(esk5_0,X1,X2)
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X4)
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_25]),c_0_26]),c_0_28]),c_0_29])]) ).
cnf(c_0_56,plain,
( r2_nattra_1(X1,X2,k11_isocat_2(X1,X2,X3,X4),k2_isocat_1(X1,k11_cat_2(X2,X3),X2,X5,X6))
| ~ r2_nattra_1(k11_cat_2(X2,X3),X2,k8_isocat_2(X2,X3),X6)
| ~ r2_nattra_1(X1,k11_cat_2(X2,X3),X4,X5)
| ~ m2_cat_1(X6,k11_cat_2(X2,X3),X2)
| ~ m2_cat_1(X5,X1,k11_cat_2(X2,X3))
| ~ m2_cat_1(X4,X1,k11_cat_2(X2,X3))
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_46]),c_0_17]),c_0_18]),c_0_47]) ).
cnf(c_0_57,negated_conjecture,
( ~ r2_nattra_1(k11_cat_2(esk2_0,esk3_0),esk2_0,k8_isocat_2(esk2_0,esk3_0),k8_isocat_2(esk2_0,esk3_0))
| ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ m2_cat_1(k8_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk2_0)
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(esk5_0,X2,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_43]),c_0_26]),c_0_27]),c_0_29]),c_0_30]),c_0_42]),c_0_24]),c_0_25]),c_0_28])]) ).
cnf(c_0_58,negated_conjecture,
( ~ m2_cat_1(k9_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk3_0)
| ~ m2_cat_1(k8_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk2_0)
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(esk5_0,X2,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_49]),c_0_26]),c_0_29])]) ).
cnf(c_0_59,negated_conjecture,
( ~ m2_cat_1(k8_isocat_2(esk2_0,esk3_0),k11_cat_2(esk2_0,esk3_0),esk2_0)
| ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(esk5_0,X2,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_19]),c_0_25]),c_0_26]),c_0_28]),c_0_29])]) ).
cnf(c_0_60,negated_conjecture,
( ~ m2_cat_1(esk4_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ m2_cat_1(esk5_0,X2,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_47]),c_0_25]),c_0_26]),c_0_28]),c_0_29])]) ).
cnf(c_0_61,negated_conjecture,
( ~ m2_cat_1(esk5_0,X1,k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ l1_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_24]),c_0_27]),c_0_30])]) ).
cnf(c_0_62,negated_conjecture,
( ~ l1_cat_1(k11_cat_2(esk2_0,esk3_0))
| ~ v2_cat_1(k11_cat_2(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_43]),c_0_27]),c_0_30])]) ).
cnf(c_0_63,negated_conjecture,
~ l1_cat_1(k11_cat_2(esk2_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_17]),c_0_25]),c_0_26]),c_0_28]),c_0_29])]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_18]),c_0_25]),c_0_26]),c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.18/0.36 % Computer : n014.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Sun Aug 27 00:21:32 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.96/1.06 % Version : CSE_E---1.5
% 0.96/1.06 % Problem : theBenchmark.p
% 0.96/1.06 % Proof found
% 0.96/1.06 % SZS status Theorem for theBenchmark.p
% 0.96/1.06 % SZS output start Proof
% See solution above
% 0.96/1.08 % Total time : 0.498000 s
% 0.96/1.08 % SZS output end Proof
% 0.96/1.08 % Total time : 0.502000 s
%------------------------------------------------------------------------------