TSTP Solution File: SEU425+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU425+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 : n009.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 : Thu Aug 31 16:26:17 EDT 2023
% Result : Theorem 0.20s 0.71s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 46
% Syntax : Number of formulae : 99 ( 17 unt; 32 typ; 0 def)
% Number of atoms : 205 ( 52 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 228 ( 90 ~; 94 |; 23 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 25 >; 20 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-3 aty)
% Number of variables : 115 ( 7 sgn; 66 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_23,type,
k1_zfmisc_1: $i > $i ).
tff(decl_24,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_25,type,
k5_relset_2: ( $i * $i ) > $i ).
tff(decl_26,type,
v1_funct_1: $i > $o ).
tff(decl_27,type,
k2_relat_1: $i > $i ).
tff(decl_28,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_31,type,
v1_xboole_0: $i > $o ).
tff(decl_32,type,
v1_relat_1: $i > $o ).
tff(decl_33,type,
k1_xboole_0: $i ).
tff(decl_34,type,
k4_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
k1_relat_1: $i > $i ).
tff(decl_36,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_37,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_38,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_39,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
v3_relat_1: $i > $o ).
tff(decl_41,type,
esk1_0: $i ).
tff(decl_42,type,
esk2_0: $i ).
tff(decl_43,type,
esk3_0: $i ).
tff(decl_44,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk6_1: $i > $i ).
tff(decl_47,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk8_0: $i ).
tff(decl_49,type,
esk9_1: $i > $i ).
tff(decl_50,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk11_0: $i ).
tff(decl_52,type,
esk12_1: $i > $i ).
tff(decl_53,type,
esk13_0: $i ).
fof(t21_relset_2,conjecture,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( v1_funct_1(k5_relset_2(X1,X3))
& v1_funct_2(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
& m2_relset_1(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relset_2) ).
fof(t20_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> r1_tarski(k2_relat_1(k5_relset_2(X1,X3)),k1_zfmisc_1(k2_relat_1(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relset_2) ).
fof(t11_relset_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( ( r1_tarski(k1_relat_1(X3),X1)
& r1_tarski(k2_relat_1(X3),X2) )
=> m2_relset_1(X3,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_relset_1) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(rc1_relat_1,axiom,
? [X1] :
( v1_xboole_0(X1)
& v1_relat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_relat_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(d1_funct_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( ( ( X2 = k1_xboole_0
=> X1 = k1_xboole_0 )
=> ( v1_funct_2(X3,X1,X2)
<=> X1 = k4_relset_1(X1,X2,X3) ) )
& ( X2 = k1_xboole_0
=> ( X1 = k1_xboole_0
| ( v1_funct_2(X3,X1,X2)
<=> X3 = k1_xboole_0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(dt_k5_relset_2,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( v1_relat_1(k5_relset_2(X1,X2))
& v1_funct_1(k5_relset_2(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relset_2) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(redefinition_k4_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k4_relset_1(X1,X2,X3) = k1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(d3_relset_2,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( ( v1_relat_1(X3)
& v1_funct_1(X3) )
=> ( X3 = k5_relset_2(X1,X2)
<=> ( k1_relat_1(X3) = k1_zfmisc_1(X1)
& ! [X4] :
( r1_tarski(X4,X1)
=> k1_funct_1(X3,X4) = k9_relat_1(X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_relset_2) ).
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(c_0_14,negated_conjecture,
~ ! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ( v1_funct_1(k5_relset_2(X1,X3))
& v1_funct_2(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3)))
& m2_relset_1(k5_relset_2(X1,X3),k1_zfmisc_1(X1),k1_zfmisc_1(k2_relat_1(X3))) ) ),
inference(assume_negation,[status(cth)],[t21_relset_2]) ).
fof(c_0_15,plain,
! [X69,X70,X71] :
( ~ m1_subset_1(X71,k1_zfmisc_1(k2_zfmisc_1(X69,X70)))
| r1_tarski(k2_relat_1(k5_relset_2(X69,X71)),k1_zfmisc_1(k2_relat_1(X71))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relset_2])]) ).
fof(c_0_16,negated_conjecture,
( m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))
& ( ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0))
| ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_17,plain,
! [X64,X65,X66] :
( ~ v1_relat_1(X66)
| ~ r1_tarski(k1_relat_1(X66),X64)
| ~ r1_tarski(k2_relat_1(X66),X65)
| m2_relset_1(X66,X64,X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t11_relset_1])]) ).
cnf(c_0_18,plain,
( r1_tarski(k2_relat_1(k5_relset_2(X2,X1)),k1_zfmisc_1(k2_relat_1(X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X82] :
( ~ v1_xboole_0(X82)
| X82 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(c_0_21,plain,
( v1_xboole_0(esk8_0)
& v1_relat_1(esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_relat_1])]) ).
cnf(c_0_22,plain,
( m2_relset_1(X1,X2,X3)
| ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X2)
| ~ r1_tarski(k2_relat_1(X1),X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
r1_tarski(k2_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_24,plain,
! [X74,X75] :
( ( ~ m1_subset_1(X74,k1_zfmisc_1(X75))
| r1_tarski(X74,X75) )
& ( ~ r1_tarski(X74,X75)
| m1_subset_1(X74,k1_zfmisc_1(X75)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_25,plain,
! [X11,X12,X13] :
( ~ m1_subset_1(X13,k1_zfmisc_1(k2_zfmisc_1(X11,X12)))
| v1_relat_1(X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_26,plain,
! [X14,X15,X16] :
( ( ~ v1_funct_2(X16,X14,X15)
| X14 = k4_relset_1(X14,X15,X16)
| X15 = k1_xboole_0
| ~ m2_relset_1(X16,X14,X15) )
& ( X14 != k4_relset_1(X14,X15,X16)
| v1_funct_2(X16,X14,X15)
| X15 = k1_xboole_0
| ~ m2_relset_1(X16,X14,X15) )
& ( ~ v1_funct_2(X16,X14,X15)
| X14 = k4_relset_1(X14,X15,X16)
| X14 != k1_xboole_0
| ~ m2_relset_1(X16,X14,X15) )
& ( X14 != k4_relset_1(X14,X15,X16)
| v1_funct_2(X16,X14,X15)
| X14 != k1_xboole_0
| ~ m2_relset_1(X16,X14,X15) )
& ( ~ v1_funct_2(X16,X14,X15)
| X16 = k1_xboole_0
| X14 = k1_xboole_0
| X15 != k1_xboole_0
| ~ m2_relset_1(X16,X14,X15) )
& ( X16 != k1_xboole_0
| v1_funct_2(X16,X14,X15)
| X14 = k1_xboole_0
| X15 != k1_xboole_0
| ~ m2_relset_1(X16,X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])]) ).
cnf(c_0_27,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
v1_xboole_0(esk8_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( m2_relset_1(k5_relset_2(esk1_0,esk3_0),X1,k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ r1_tarski(k1_relat_1(k5_relset_2(esk1_0,esk3_0)),X1)
| ~ v1_relat_1(k5_relset_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_31,plain,
! [X25,X26] :
( ( v1_relat_1(k5_relset_2(X25,X26))
| ~ v1_relat_1(X26) )
& ( v1_funct_1(k5_relset_2(X25,X26))
| ~ v1_relat_1(X26) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_2])])]) ).
cnf(c_0_32,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_33,plain,
! [X63] : r1_tarski(X63,X63),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_34,plain,
( v1_funct_2(X3,X1,X2)
| X2 = k1_xboole_0
| X1 != k4_relset_1(X1,X2,X3)
| ~ m2_relset_1(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
k1_xboole_0 = esk8_0,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_36,plain,
! [X57,X58,X59] :
( ~ m1_relset_1(X59,X57,X58)
| k4_relset_1(X57,X58,X59) = k1_relat_1(X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])]) ).
fof(c_0_37,plain,
! [X60,X61,X62] :
( ( ~ m2_relset_1(X62,X60,X61)
| m1_relset_1(X62,X60,X61) )
& ( ~ m1_relset_1(X62,X60,X61)
| m2_relset_1(X62,X60,X61) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_38,negated_conjecture,
( m2_relset_1(k5_relset_2(esk1_0,esk3_0),X1,k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_relat_1(k5_relset_2(esk1_0,esk3_0))
| ~ m1_subset_1(k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,plain,
( v1_relat_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_41,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_42,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_43,plain,
! [X17,X18,X19,X20] :
( ( k1_relat_1(X19) = k1_zfmisc_1(X17)
| X19 != k5_relset_2(X17,X18)
| ~ v1_relat_1(X19)
| ~ v1_funct_1(X19)
| ~ v1_relat_1(X18) )
& ( ~ r1_tarski(X20,X17)
| k1_funct_1(X19,X20) = k9_relat_1(X18,X20)
| X19 != k5_relset_2(X17,X18)
| ~ v1_relat_1(X19)
| ~ v1_funct_1(X19)
| ~ v1_relat_1(X18) )
& ( r1_tarski(esk4_3(X17,X18,X19),X17)
| k1_relat_1(X19) != k1_zfmisc_1(X17)
| X19 = k5_relset_2(X17,X18)
| ~ v1_relat_1(X19)
| ~ v1_funct_1(X19)
| ~ v1_relat_1(X18) )
& ( k1_funct_1(X19,esk4_3(X17,X18,X19)) != k9_relat_1(X18,esk4_3(X17,X18,X19))
| k1_relat_1(X19) != k1_zfmisc_1(X17)
| X19 = k5_relset_2(X17,X18)
| ~ v1_relat_1(X19)
| ~ v1_funct_1(X19)
| ~ v1_relat_1(X18) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_relset_2])])])])]) ).
cnf(c_0_44,plain,
( X1 = esk8_0
| v1_funct_2(X2,X3,X1)
| k4_relset_1(X3,X1,X2) != X3
| ~ m2_relset_1(X2,X3,X1) ),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_45,plain,
( k4_relset_1(X2,X3,X1) = k1_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
( m2_relset_1(k5_relset_2(esk1_0,esk3_0),X1,k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ m1_subset_1(k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_48,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
( k1_relat_1(X1) = k1_zfmisc_1(X2)
| X1 != k5_relset_2(X2,X3)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
( v1_funct_1(k5_relset_2(X1,X2))
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_51,plain,
( X1 = esk8_0
| v1_funct_2(X2,k1_relat_1(X2),X1)
| ~ m1_relset_1(X2,k1_relat_1(X2),X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45])]),c_0_46]) ).
cnf(c_0_52,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_53,negated_conjecture,
m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
( k1_relat_1(k5_relset_2(X1,X2)) = k1_zfmisc_1(X1)
| ~ v1_relat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_49]),c_0_50]),c_0_39]) ).
cnf(c_0_55,plain,
( X1 = esk8_0
| v1_funct_2(X2,k1_relat_1(X2),X1)
| ~ m2_relset_1(X2,k1_relat_1(X2),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
( ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0))
| ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_57,negated_conjecture,
m2_relset_1(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_40])]) ).
cnf(c_0_58,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk3_0)) = esk8_0
| v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_relat_1(k5_relset_2(esk1_0,esk3_0)),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_55,c_0_53]) ).
fof(c_0_59,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
cnf(c_0_60,negated_conjecture,
( ~ v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0)))
| ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).
cnf(c_0_61,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk3_0)) = esk8_0
| v1_funct_2(k5_relset_2(esk1_0,esk3_0),k1_zfmisc_1(esk1_0),k1_zfmisc_1(k2_relat_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_54]),c_0_40])]) ).
fof(c_0_62,plain,
! [X38] : ~ v1_xboole_0(k1_zfmisc_1(X38)),
inference(variable_rename,[status(thm)],[c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( k1_zfmisc_1(k2_relat_1(esk3_0)) = esk8_0
| ~ v1_funct_1(k5_relset_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_65,negated_conjecture,
k1_zfmisc_1(k2_relat_1(esk3_0)) = esk8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_50]),c_0_40])]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU425+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.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 : Wed Aug 23 17:58:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.20/0.71 % Version : CSE_E---1.5
% 0.20/0.71 % Problem : theBenchmark.p
% 0.20/0.71 % Proof found
% 0.20/0.71 % SZS status Theorem for theBenchmark.p
% 0.20/0.71 % SZS output start Proof
% See solution above
% 0.20/0.72 % Total time : 0.152000 s
% 0.20/0.72 % SZS output end Proof
% 0.20/0.72 % Total time : 0.155000 s
%------------------------------------------------------------------------------