TSTP Solution File: SEU445+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SEU445+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 16:26:58 EDT 2023
% Result : Theorem 24.45s 24.58s
% Output : CNFRefutation 24.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 57
% Syntax : Number of formulae : 148 ( 20 unt; 37 typ; 0 def)
% Number of atoms : 255 ( 70 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 253 ( 109 ~; 103 |; 18 &)
% ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 59 ( 30 >; 29 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 7 con; 0-5 aty)
% Number of variables : 255 ( 20 sgn; 131 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
k6_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
k10_relset_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_25,type,
k9_relset_2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_27,type,
v1_xboole_0: $i > $o ).
tff(decl_28,type,
v1_relat_1: $i > $o ).
tff(decl_29,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_30,type,
k1_zfmisc_1: $i > $i ).
tff(decl_31,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_32,type,
k3_xboole_0: ( $i * $i ) > $i ).
tff(decl_33,type,
k5_subset_1: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_35,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
k4_relat_1: $i > $i ).
tff(decl_37,type,
k5_relat_1: ( $i * $i ) > $i ).
tff(decl_38,type,
k5_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
k1_xboole_0: $i ).
tff(decl_40,type,
v3_relat_1: $i > $o ).
tff(decl_41,type,
k1_relat_1: $i > $i ).
tff(decl_42,type,
k2_relat_1: $i > $i ).
tff(decl_43,type,
k9_relat_1: ( $i * $i ) > $i ).
tff(decl_44,type,
k1_funct_5: $i > $i ).
tff(decl_45,type,
k2_funct_5: $i > $i ).
tff(decl_46,type,
esk1_0: $i ).
tff(decl_47,type,
esk2_0: $i ).
tff(decl_48,type,
esk3_0: $i ).
tff(decl_49,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk7_1: $i > $i ).
tff(decl_53,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk9_0: $i ).
tff(decl_55,type,
esk10_1: $i > $i ).
tff(decl_56,type,
esk11_0: $i ).
tff(decl_57,type,
esk12_1: $i > $i ).
tff(decl_58,type,
esk13_0: $i ).
fof(t57_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,X3,k6_relset_1(X2,X1,X3)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_relset_2) ).
fof(redefinition_k10_relset_1,axiom,
! [X1,X2,X3,X4] :
( m1_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k10_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/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(dt_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> m2_relset_1(k9_relset_2(X1,X2,X3,X4,X5),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(redefinition_k9_relset_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) )
=> k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(dt_k5_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k5_relset_1(X1,X2,X3),k1_zfmisc_1(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relset_1) ).
fof(redefinition_k5_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k5_relset_1(X1,X2,X3) = k2_relat_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_relset_1) ).
fof(t51_relset_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> ( k1_funct_5(X3) = k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1)
& k2_funct_5(X3) = k10_relset_1(X2,X1,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_relset_2) ).
fof(dt_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
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/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(d3_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = k3_xboole_0(X1,X2)
<=> ! [X4] :
( r2_hidden(X4,X3)
<=> ( r2_hidden(X4,X1)
& r2_hidden(X4,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(t159_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ! [X3] :
( v1_relat_1(X3)
=> k9_relat_1(k5_relat_1(X2,X3),X1) = k9_relat_1(X3,k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t159_relat_1) ).
fof(t48_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ! [X4] : k9_relat_1(k4_relat_1(X3),X4) = k9_relat_1(k4_relat_1(X3),k3_xboole_0(X4,k2_funct_5(X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_relset_2) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(t21_funct_5,axiom,
! [X1] :
( v1_relat_1(X1)
=> ( k1_funct_5(X1) = k1_relat_1(X1)
& k2_funct_5(X1) = k2_relat_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_5) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(c_0_20,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X2,X1)
=> k10_relset_1(X1,X2,k6_relset_1(X2,X1,X3),X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,X3,k6_relset_1(X2,X1,X3)),X2) ),
inference(assume_negation,[status(cth)],[t57_relset_2]) ).
fof(c_0_21,negated_conjecture,
( m2_relset_1(esk3_0,esk2_0,esk1_0)
& k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_22,plain,
! [X100,X101,X102,X103] :
( ~ m1_relset_1(X102,X100,X101)
| k10_relset_1(X100,X101,X102,X103) = k9_relat_1(X102,X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])]) ).
cnf(c_0_23,negated_conjecture,
k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( k10_relset_1(X2,X3,X1,X4) = k9_relat_1(X1,X4)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_25,plain,
! [X118,X119,X120] :
( ( ~ m2_relset_1(X120,X118,X119)
| m1_relset_1(X120,X118,X119) )
& ( ~ m1_relset_1(X120,X118,X119)
| m2_relset_1(X120,X118,X119) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_26,plain,
! [X58,X59,X60] :
( ~ m2_relset_1(X60,X58,X59)
| m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(X58,X59))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
cnf(c_0_27,negated_conjecture,
( k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m1_relset_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_29,plain,
! [X53,X54,X55,X56,X57] :
( ~ m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(X53,X54)))
| ~ m1_subset_1(X57,k1_zfmisc_1(k2_zfmisc_1(X54,X55)))
| m2_relset_1(k9_relset_2(X53,X54,X55,X56,X57),X53,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])]) ).
cnf(c_0_30,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
m2_relset_1(esk3_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,negated_conjecture,
( k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m2_relset_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( m2_relset_1(k9_relset_2(X2,X3,X5,X1,X4),X2,X5)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_35,plain,
! [X113,X114,X115,X116,X117] :
( ~ m1_subset_1(X116,k1_zfmisc_1(k2_zfmisc_1(X113,X114)))
| ~ m1_subset_1(X117,k1_zfmisc_1(k2_zfmisc_1(X114,X115)))
| k9_relset_2(X113,X114,X115,X116,X117) = k5_relat_1(X116,X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])]) ).
fof(c_0_36,plain,
! [X44,X45,X46] :
( ~ m1_relset_1(X46,X44,X45)
| m1_subset_1(k5_relset_1(X44,X45,X46),k1_zfmisc_1(X45)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_relset_1])]) ).
fof(c_0_37,plain,
! [X104,X105,X106] :
( ~ m1_relset_1(X106,X104,X105)
| k5_relset_1(X104,X105,X106) = k2_relat_1(X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_relset_1])]) ).
cnf(c_0_38,negated_conjecture,
( k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0)
| ~ m1_subset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_39,plain,
( k9_relset_2(X2,X3,X5,X1,X4) = k5_relat_1(X1,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,X5))) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_40,plain,
! [X149,X150,X151] :
( ( k1_funct_5(X151) = k10_relset_1(X149,X150,k6_relset_1(X150,X149,X151),X149)
| ~ m2_relset_1(X151,X150,X149) )
& ( k2_funct_5(X151) = k10_relset_1(X150,X149,X151,X150)
| ~ m2_relset_1(X151,X150,X149) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])]) ).
cnf(c_0_41,plain,
( m1_subset_1(k5_relset_1(X2,X3,X1),k1_zfmisc_1(X3))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,plain,
( k5_relset_1(X2,X3,X1) = k2_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0) != k9_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0)
| ~ m1_subset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_34])]) ).
cnf(c_0_44,plain,
( k2_funct_5(X1) = k10_relset_1(X2,X3,X1,X2)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_45,plain,
! [X50,X51,X52] :
( ~ m1_relset_1(X52,X50,X51)
| m2_relset_1(k6_relset_1(X50,X51,X52),X51,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
cnf(c_0_46,plain,
( m1_subset_1(k2_relat_1(X1),k1_zfmisc_1(X2))
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( k9_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k2_funct_5(k6_relset_1(esk2_0,esk1_0,esk3_0))
| ~ m2_relset_1(k6_relset_1(esk2_0,esk1_0,esk3_0),esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_30]) ).
cnf(c_0_48,plain,
( m2_relset_1(k6_relset_1(X2,X3,X1),X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_49,plain,
! [X110,X111,X112] :
( ~ m1_relset_1(X112,X110,X111)
| k6_relset_1(X110,X111,X112) = k4_relat_1(X112) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
fof(c_0_50,plain,
! [X12,X13,X14] :
( ~ m1_subset_1(X14,k1_zfmisc_1(k2_zfmisc_1(X12,X13)))
| v1_relat_1(X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_51,plain,
! [X140,X141] :
( ( ~ m1_subset_1(X140,k1_zfmisc_1(X141))
| r1_tarski(X140,X141) )
& ( ~ r1_tarski(X140,X141)
| m1_subset_1(X140,k1_zfmisc_1(X141)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_52,plain,
( m1_subset_1(k2_relat_1(X1),k1_zfmisc_1(X2))
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_28]) ).
cnf(c_0_53,negated_conjecture,
( k9_relat_1(k5_relat_1(esk3_0,k6_relset_1(esk2_0,esk1_0,esk3_0)),esk2_0) != k2_funct_5(k6_relset_1(esk2_0,esk1_0,esk3_0))
| ~ m1_relset_1(esk3_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
( k6_relset_1(X2,X3,X1) = k4_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_56,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,plain,
( m1_subset_1(k6_relset_1(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(X2,X1)))
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_48]) ).
fof(c_0_58,plain,
! [X28,X29,X30,X31,X32,X33,X34,X35] :
( ( r2_hidden(X31,X28)
| ~ r2_hidden(X31,X30)
| X30 != k3_xboole_0(X28,X29) )
& ( r2_hidden(X31,X29)
| ~ r2_hidden(X31,X30)
| X30 != k3_xboole_0(X28,X29) )
& ( ~ r2_hidden(X32,X28)
| ~ r2_hidden(X32,X29)
| r2_hidden(X32,X30)
| X30 != k3_xboole_0(X28,X29) )
& ( ~ r2_hidden(esk5_3(X33,X34,X35),X35)
| ~ r2_hidden(esk5_3(X33,X34,X35),X33)
| ~ r2_hidden(esk5_3(X33,X34,X35),X34)
| X35 = k3_xboole_0(X33,X34) )
& ( r2_hidden(esk5_3(X33,X34,X35),X33)
| r2_hidden(esk5_3(X33,X34,X35),X35)
| X35 = k3_xboole_0(X33,X34) )
& ( r2_hidden(esk5_3(X33,X34,X35),X34)
| r2_hidden(esk5_3(X33,X34,X35),X35)
| X35 = k3_xboole_0(X33,X34) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_xboole_0])])])])])]) ).
fof(c_0_59,plain,
! [X22,X23,X24,X25,X26] :
( ( ~ r1_tarski(X22,X23)
| ~ r2_hidden(X24,X22)
| r2_hidden(X24,X23) )
& ( r2_hidden(esk4_2(X25,X26),X25)
| r1_tarski(X25,X26) )
& ( ~ r2_hidden(esk4_2(X25,X26),X26)
| r1_tarski(X25,X26) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])]) ).
cnf(c_0_60,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,negated_conjecture,
m1_subset_1(k2_relat_1(esk3_0),k1_zfmisc_1(esk1_0)),
inference(spm,[status(thm)],[c_0_52,c_0_31]) ).
cnf(c_0_62,plain,
( k1_funct_5(X1) = k10_relset_1(X2,X3,k6_relset_1(X3,X2,X1),X2)
| ~ m2_relset_1(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_63,negated_conjecture,
( k9_relat_1(k5_relat_1(esk3_0,k4_relat_1(esk3_0)),esk2_0) != k2_funct_5(k4_relat_1(esk3_0))
| ~ m1_relset_1(esk3_0,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_64,plain,
! [X128,X129,X130] :
( ~ v1_relat_1(X129)
| ~ v1_relat_1(X130)
| k9_relat_1(k5_relat_1(X129,X130),X128) = k9_relat_1(X130,k9_relat_1(X129,X128)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])]) ).
cnf(c_0_65,plain,
( k9_relat_1(X1,X2) = k2_funct_5(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_24]),c_0_55]) ).
cnf(c_0_66,plain,
( v1_relat_1(k6_relset_1(X1,X2,X3))
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,plain,
( r2_hidden(esk5_3(X1,X2,X3),X2)
| r2_hidden(esk5_3(X1,X2,X3),X3)
| X3 = k3_xboole_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,plain,
( r2_hidden(X3,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_69,negated_conjecture,
r1_tarski(k2_relat_1(esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,plain,
( k2_funct_5(k6_relset_1(X1,X2,X3)) = k1_funct_5(X3)
| ~ m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
| ~ m2_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_62]) ).
cnf(c_0_71,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_54]) ).
cnf(c_0_72,negated_conjecture,
k9_relat_1(k5_relat_1(esk3_0,k4_relat_1(esk3_0)),esk2_0) != k2_funct_5(k4_relat_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_28]),c_0_31])]) ).
cnf(c_0_73,plain,
( k9_relat_1(k5_relat_1(X1,X2),X3) = k9_relat_1(X2,k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_74,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_56,c_0_34]) ).
cnf(c_0_75,plain,
( k9_relat_1(X1,X2) = k2_funct_5(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_28]) ).
cnf(c_0_76,plain,
( v1_relat_1(k4_relat_1(X1))
| ~ m1_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_66,c_0_54]) ).
fof(c_0_77,plain,
! [X142,X143,X144,X145] :
( ~ m1_subset_1(X144,k1_zfmisc_1(k2_zfmisc_1(X142,X143)))
| k9_relat_1(k4_relat_1(X144),X145) = k9_relat_1(k4_relat_1(X144),k3_xboole_0(X145,k2_funct_5(X144))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t48_relset_2])])]) ).
fof(c_0_78,plain,
! [X133,X134,X135] :
( ~ r1_tarski(X133,X134)
| ~ r1_tarski(X134,X135)
| r1_tarski(X133,X135) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).
cnf(c_0_79,plain,
( X3 = k3_xboole_0(X1,X2)
| ~ r2_hidden(esk5_3(X1,X2,X3),X3)
| ~ r2_hidden(esk5_3(X1,X2,X3),X1)
| ~ r2_hidden(esk5_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_80,plain,
( k3_xboole_0(X1,X2) = X2
| r2_hidden(esk5_3(X1,X2,X2),X2) ),
inference(ef,[status(thm)],[c_0_67]) ).
cnf(c_0_81,negated_conjecture,
( r2_hidden(X1,esk1_0)
| ~ r2_hidden(X1,k2_relat_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_82,plain,
( k2_funct_5(k4_relat_1(X1)) = k1_funct_5(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_54]),c_0_55]),c_0_71]) ).
cnf(c_0_83,negated_conjecture,
( k9_relat_1(k4_relat_1(esk3_0),k9_relat_1(esk3_0,esk2_0)) != k2_funct_5(k4_relat_1(esk3_0))
| ~ v1_relat_1(k4_relat_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_84,negated_conjecture,
k9_relat_1(esk3_0,esk2_0) = k2_funct_5(esk3_0),
inference(spm,[status(thm)],[c_0_75,c_0_31]) ).
cnf(c_0_85,plain,
( v1_relat_1(k4_relat_1(X1))
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_28]) ).
cnf(c_0_86,plain,
( k9_relat_1(k4_relat_1(X1),X4) = k9_relat_1(k4_relat_1(X1),k3_xboole_0(X4,k2_funct_5(X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_87,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_88,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_89,negated_conjecture,
r1_tarski(esk3_0,k2_zfmisc_1(esk2_0,esk1_0)),
inference(spm,[status(thm)],[c_0_60,c_0_34]) ).
cnf(c_0_90,plain,
( k3_xboole_0(X1,X2) = X2
| ~ r2_hidden(esk5_3(X1,X2,X2),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_80]) ).
cnf(c_0_91,negated_conjecture,
( k3_xboole_0(X1,k2_relat_1(esk3_0)) = k2_relat_1(esk3_0)
| r2_hidden(esk5_3(X1,k2_relat_1(esk3_0),k2_relat_1(esk3_0)),esk1_0) ),
inference(spm,[status(thm)],[c_0_81,c_0_80]) ).
fof(c_0_92,plain,
! [X136] :
( ( k1_funct_5(X136) = k1_relat_1(X136)
| ~ v1_relat_1(X136) )
& ( k2_funct_5(X136) = k2_relat_1(X136)
| ~ v1_relat_1(X136) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_5])])]) ).
cnf(c_0_93,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_28]) ).
cnf(c_0_94,plain,
( k2_funct_5(k4_relat_1(X1)) = k1_funct_5(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_28]) ).
cnf(c_0_95,negated_conjecture,
( k9_relat_1(k4_relat_1(esk3_0),k2_funct_5(esk3_0)) != k2_funct_5(k4_relat_1(esk3_0))
| ~ v1_relat_1(k4_relat_1(esk3_0)) ),
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_96,negated_conjecture,
v1_relat_1(k4_relat_1(esk3_0)),
inference(spm,[status(thm)],[c_0_85,c_0_31]) ).
cnf(c_0_97,plain,
( k9_relat_1(k4_relat_1(X1),k3_xboole_0(X2,k2_funct_5(X1))) = k9_relat_1(k4_relat_1(X1),X2)
| ~ r1_tarski(X1,k2_zfmisc_1(X3,X4)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_98,negated_conjecture,
( r1_tarski(X1,k2_zfmisc_1(esk2_0,esk1_0))
| ~ r1_tarski(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_99,negated_conjecture,
k3_xboole_0(esk1_0,k2_relat_1(esk3_0)) = k2_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_100,plain,
( k2_funct_5(X1) = k2_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_101,plain,
( k9_relat_1(k4_relat_1(X1),X2) = k2_funct_5(k4_relat_1(X1))
| ~ m2_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_93]) ).
cnf(c_0_102,negated_conjecture,
k2_funct_5(k4_relat_1(esk3_0)) = k1_funct_5(esk3_0),
inference(spm,[status(thm)],[c_0_94,c_0_31]) ).
fof(c_0_103,plain,
! [X121] : r1_tarski(X121,X121),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_104,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),k2_funct_5(esk3_0)) != k2_funct_5(k4_relat_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96])]) ).
cnf(c_0_105,negated_conjecture,
( k9_relat_1(k4_relat_1(X1),k3_xboole_0(X2,k2_funct_5(X1))) = k9_relat_1(k4_relat_1(X1),X2)
| ~ r1_tarski(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
k3_xboole_0(esk1_0,k2_funct_5(esk3_0)) = k2_funct_5(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_74])]) ).
cnf(c_0_107,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),esk1_0) = k1_funct_5(esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_31]),c_0_102]) ).
cnf(c_0_108,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_109,negated_conjecture,
k9_relat_1(k4_relat_1(esk3_0),k2_funct_5(esk3_0)) != k1_funct_5(esk3_0),
inference(rw,[status(thm)],[c_0_104,c_0_102]) ).
cnf(c_0_110,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_108])]),c_0_109]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU445+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n003.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 15:43:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 24.45/24.58 % Version : CSE_E---1.5
% 24.45/24.58 % Problem : theBenchmark.p
% 24.45/24.58 % Proof found
% 24.45/24.58 % SZS status Theorem for theBenchmark.p
% 24.45/24.58 % SZS output start Proof
% See solution above
% 24.45/24.59 % Total time : 23.994000 s
% 24.45/24.59 % SZS output end Proof
% 24.45/24.59 % Total time : 23.999000 s
%------------------------------------------------------------------------------