TSTP Solution File: SEU446+1 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SEU446+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 : Mon Jun 24 15:08:02 EDT 2024
% Result : Theorem 7.16s 1.48s
% Output : CNFRefutation 7.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 105 ( 19 unt; 0 def)
% Number of atoms : 254 ( 66 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 257 ( 108 ~; 103 |; 21 &)
% ( 6 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-5 aty)
% Number of variables : 252 ( 14 sgn 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t58_relset_2,conjecture,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,k6_relset_1(X1,X2,X3),X3),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',t58_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/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',redefinition_k10_relset_1) ).
fof(dt_k4_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m1_subset_1(k4_relset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',dt_k4_relset_1) ).
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/tmp/tmp.qF7fh5sSJE/E---3.1_28897.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/tmp/tmp.qF7fh5sSJE/E---3.1_28897.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/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.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/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',dt_k9_relset_2) ).
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/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',d3_xboole_0) ).
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/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',redefinition_k9_relset_2) ).
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/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',t51_relset_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.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/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',cc1_relset_1) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',d3_tarski) ).
fof(t47_relset_2,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> ! [X4] : k9_relat_1(X3,X4) = k9_relat_1(X3,k3_xboole_0(X4,k1_funct_5(X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',t47_relset_2) ).
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/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',t21_funct_5) ).
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/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',t159_relat_1) ).
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/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',dt_k6_relset_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',commutativity_k3_xboole_0) ).
fof(t1_xboole_1,axiom,
! [X1,X2,X3] :
( ( r1_tarski(X1,X2)
& r1_tarski(X2,X3) )
=> r1_tarski(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',t1_xboole_1) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',d10_xboole_0) ).
fof(t156_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k9_relat_1(X3,X1),k9_relat_1(X3,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p',t156_relat_1) ).
fof(c_0_21,negated_conjecture,
~ ! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> k10_relset_1(X1,X2,X3,X1) = k10_relset_1(X2,X2,k9_relset_2(X2,X1,X2,k6_relset_1(X1,X2,X3),X3),X2) ),
inference(assume_negation,[status(cth)],[t58_relset_2]) ).
fof(c_0_22,negated_conjecture,
( m2_relset_1(esk3_0,esk1_0,esk2_0)
& k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_23,plain,
! [X13,X14,X15,X16] :
( ~ m1_relset_1(X15,X13,X14)
| k10_relset_1(X13,X14,X15,X16) = k9_relat_1(X15,X16) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k10_relset_1])])]) ).
fof(c_0_24,plain,
! [X82,X83,X84] :
( ~ m1_relset_1(X84,X82,X83)
| m1_subset_1(k4_relset_1(X82,X83,X84),k1_zfmisc_1(X82)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_relset_1])])]) ).
fof(c_0_25,plain,
! [X88,X89,X90] :
( ~ m1_relset_1(X90,X88,X89)
| k4_relset_1(X88,X89,X90) = k1_relat_1(X90) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])])]) ).
cnf(c_0_26,negated_conjecture,
k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k10_relset_1(esk2_0,esk2_0,k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,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_23]) ).
fof(c_0_28,plain,
! [X45,X46,X47] :
( ( ~ m2_relset_1(X47,X45,X46)
| m1_relset_1(X47,X45,X46) )
& ( ~ m1_relset_1(X47,X45,X46)
| m2_relset_1(X47,X45,X46) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_29,plain,
! [X39,X40,X41] :
( ~ m2_relset_1(X41,X39,X40)
| m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(X39,X40))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
cnf(c_0_30,plain,
( m1_subset_1(k4_relset_1(X2,X3,X1),k1_zfmisc_1(X2))
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( k4_relset_1(X2,X3,X1) = k1_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
| ~ m1_relset_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X20,X21,X22,X23,X24] :
( ~ m1_subset_1(X23,k1_zfmisc_1(k2_zfmisc_1(X20,X21)))
| ~ m1_subset_1(X24,k1_zfmisc_1(k2_zfmisc_1(X21,X22)))
| m2_relset_1(k9_relset_2(X20,X21,X22,X23,X24),X20,X22) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_relset_2])])]) ).
cnf(c_0_35,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_29]) ).
cnf(c_0_36,negated_conjecture,
m2_relset_1(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_37,plain,
( m1_subset_1(k1_relat_1(X1),k1_zfmisc_1(X2))
| ~ m1_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_38,plain,
! [X129,X130,X131,X132,X133,X134,X135,X136] :
( ( r2_hidden(X132,X129)
| ~ r2_hidden(X132,X131)
| X131 != k3_xboole_0(X129,X130) )
& ( r2_hidden(X132,X130)
| ~ r2_hidden(X132,X131)
| X131 != k3_xboole_0(X129,X130) )
& ( ~ r2_hidden(X133,X129)
| ~ r2_hidden(X133,X130)
| r2_hidden(X133,X131)
| X131 != k3_xboole_0(X129,X130) )
& ( ~ r2_hidden(esk11_3(X134,X135,X136),X136)
| ~ r2_hidden(esk11_3(X134,X135,X136),X134)
| ~ r2_hidden(esk11_3(X134,X135,X136),X135)
| X136 = k3_xboole_0(X134,X135) )
& ( r2_hidden(esk11_3(X134,X135,X136),X134)
| r2_hidden(esk11_3(X134,X135,X136),X136)
| X136 = k3_xboole_0(X134,X135) )
& ( r2_hidden(esk11_3(X134,X135,X136),X135)
| r2_hidden(esk11_3(X134,X135,X136),X136)
| X136 = k3_xboole_0(X134,X135) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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])])])])])])]) ).
cnf(c_0_39,negated_conjecture,
( k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
| ~ m2_relset_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,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_34]) ).
cnf(c_0_41,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_42,plain,
! [X25,X26,X27,X28,X29] :
( ~ m1_subset_1(X28,k1_zfmisc_1(k2_zfmisc_1(X25,X26)))
| ~ m1_subset_1(X29,k1_zfmisc_1(k2_zfmisc_1(X26,X27)))
| k9_relset_2(X25,X26,X27,X28,X29) = k5_relat_1(X28,X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k9_relset_2])])]) ).
fof(c_0_43,plain,
! [X17,X18,X19] :
( ( k1_funct_5(X19) = k10_relset_1(X17,X18,k6_relset_1(X18,X17,X19),X17)
| ~ m2_relset_1(X19,X18,X17) )
& ( k2_funct_5(X19) = k10_relset_1(X18,X17,X19,X18)
| ~ m2_relset_1(X19,X18,X17) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t51_relset_2])])])]) ).
fof(c_0_44,plain,
! [X73,X74] :
( ( ~ m1_subset_1(X73,k1_zfmisc_1(X74))
| r1_tarski(X73,X74) )
& ( ~ r1_tarski(X73,X74)
| m1_subset_1(X73,k1_zfmisc_1(X74)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
cnf(c_0_45,plain,
( m1_subset_1(k1_relat_1(X1),k1_zfmisc_1(X2))
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_37,c_0_33]) ).
fof(c_0_46,plain,
! [X48,X49,X50] :
( ~ m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(X48,X49)))
| v1_relat_1(X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
cnf(c_0_47,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,X3)
| X3 != k3_xboole_0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_48,plain,
! [X142,X143,X144,X145,X146] :
( ( ~ r1_tarski(X142,X143)
| ~ r2_hidden(X144,X142)
| r2_hidden(X144,X143) )
& ( r2_hidden(esk12_2(X145,X146),X145)
| r1_tarski(X145,X146) )
& ( ~ r2_hidden(esk12_2(X145,X146),X146)
| r1_tarski(X145,X146) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_49,negated_conjecture,
( k9_relat_1(k9_relset_2(esk2_0,esk1_0,esk2_0,k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0) != k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0)
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_50,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_42]) ).
cnf(c_0_51,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_43]) ).
cnf(c_0_52,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_53,plain,
! [X100,X101,X102,X103] :
( ~ m1_subset_1(X102,k1_zfmisc_1(k2_zfmisc_1(X100,X101)))
| k9_relat_1(X102,X103) = k9_relat_1(X102,k3_xboole_0(X103,k1_funct_5(X102))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t47_relset_2])])])]) ).
cnf(c_0_54,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,negated_conjecture,
m1_subset_1(k1_relat_1(esk3_0),k1_zfmisc_1(esk1_0)),
inference(spm,[status(thm)],[c_0_45,c_0_36]) ).
fof(c_0_56,plain,
! [X104] :
( ( k1_funct_5(X104) = k1_relat_1(X104)
| ~ v1_relat_1(X104) )
& ( k2_funct_5(X104) = k2_relat_1(X104)
| ~ v1_relat_1(X104) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t21_funct_5])])])]) ).
cnf(c_0_57,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_58,plain,
( r2_hidden(X1,X2)
| ~ r2_hidden(X1,k3_xboole_0(X3,X2)) ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_59,plain,
( r2_hidden(esk12_2(X1,X2),X1)
| r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_60,negated_conjecture,
( k10_relset_1(esk1_0,esk2_0,esk3_0,esk1_0) != k9_relat_1(k5_relat_1(k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0)
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_41])]) ).
fof(c_0_61,plain,
! [X97,X98,X99] :
( ~ v1_relat_1(X98)
| ~ v1_relat_1(X99)
| k9_relat_1(k5_relat_1(X98,X99),X97) = k9_relat_1(X99,k9_relat_1(X98,X97)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t159_relat_1])])])]) ).
cnf(c_0_62,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_51,c_0_27]),c_0_52]) ).
fof(c_0_63,plain,
! [X30,X31,X32] :
( ~ m1_relset_1(X32,X30,X31)
| m2_relset_1(k6_relset_1(X30,X31,X32),X31,X30) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])])]) ).
cnf(c_0_64,plain,
( k9_relat_1(X1,X4) = k9_relat_1(X1,k3_xboole_0(X4,k1_funct_5(X1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_65,plain,
! [X127,X128] : k3_xboole_0(X127,X128) = k3_xboole_0(X128,X127),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_66,plain,
! [X151,X152,X153] :
( ~ r1_tarski(X151,X152)
| ~ r1_tarski(X152,X153)
| r1_tarski(X151,X153) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])])]) ).
cnf(c_0_67,negated_conjecture,
r1_tarski(k1_relat_1(esk3_0),esk1_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_68,plain,
( k1_funct_5(X1) = k1_relat_1(X1)
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_69,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_57,c_0_41]) ).
cnf(c_0_70,plain,
( r1_tarski(X1,X2)
| ~ r2_hidden(esk12_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_71,plain,
( r1_tarski(k3_xboole_0(X1,X2),X3)
| r2_hidden(esk12_2(k3_xboole_0(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_72,negated_conjecture,
( k9_relat_1(k5_relat_1(k6_relset_1(esk1_0,esk2_0,esk3_0),esk3_0),esk2_0) != k2_funct_5(esk3_0)
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_51]),c_0_36])]) ).
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_61]) ).
cnf(c_0_74,plain,
( k9_relat_1(X1,X2) = k2_funct_5(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_62,c_0_33]) ).
cnf(c_0_75,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_63]) ).
cnf(c_0_76,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_43]) ).
fof(c_0_77,plain,
! [X148,X149] :
( ( r1_tarski(X148,X149)
| X148 != X149 )
& ( r1_tarski(X149,X148)
| X148 != X149 )
& ( ~ r1_tarski(X148,X149)
| ~ r1_tarski(X149,X148)
| X148 = X149 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])]) ).
fof(c_0_78,plain,
! [X94,X95,X96] :
( ~ v1_relat_1(X96)
| ~ r1_tarski(X94,X95)
| r1_tarski(k9_relat_1(X96,X94),k9_relat_1(X96,X95)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t156_relat_1])])]) ).
cnf(c_0_79,negated_conjecture,
k9_relat_1(esk3_0,k3_xboole_0(X1,k1_funct_5(esk3_0))) = k9_relat_1(esk3_0,X1),
inference(spm,[status(thm)],[c_0_64,c_0_41]) ).
cnf(c_0_80,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_81,plain,
( r1_tarski(X1,X3)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_82,negated_conjecture,
r1_tarski(k1_funct_5(esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).
cnf(c_0_83,plain,
r1_tarski(k3_xboole_0(X1,X2),X2),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_84,negated_conjecture,
( k9_relat_1(esk3_0,k9_relat_1(k6_relset_1(esk1_0,esk2_0,esk3_0),esk2_0)) != k2_funct_5(esk3_0)
| ~ m1_subset_1(k6_relset_1(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(k2_zfmisc_1(esk2_0,esk1_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_69])]),c_0_57]) ).
cnf(c_0_85,plain,
( k9_relat_1(k6_relset_1(X1,X2,X3),X2) = k2_funct_5(k6_relset_1(X1,X2,X3))
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_86,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_35,c_0_75]) ).
cnf(c_0_87,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_51,c_0_76]) ).
cnf(c_0_88,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,plain,
( r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_90,negated_conjecture,
k9_relat_1(esk3_0,k3_xboole_0(k1_funct_5(esk3_0),X1)) = k9_relat_1(esk3_0,X1),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
( r1_tarski(X1,esk1_0)
| ~ r1_tarski(X1,k1_funct_5(esk3_0)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,plain,
r1_tarski(k3_xboole_0(X1,X2),X1),
inference(spm,[status(thm)],[c_0_83,c_0_80]) ).
cnf(c_0_93,negated_conjecture,
( k9_relat_1(esk3_0,k2_funct_5(k6_relset_1(esk1_0,esk2_0,esk3_0))) != k2_funct_5(esk3_0)
| ~ m1_relset_1(esk3_0,esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_94,plain,
( k2_funct_5(k6_relset_1(X1,X2,X3)) = k1_funct_5(X3)
| ~ m1_relset_1(X3,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_75]),c_0_52]) ).
cnf(c_0_95,plain,
( k9_relat_1(X1,X2) = k9_relat_1(X1,X3)
| ~ r1_tarski(k9_relat_1(X1,X2),k9_relat_1(X1,X3))
| ~ r1_tarski(X3,X2)
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
( r1_tarski(k9_relat_1(esk3_0,X1),k9_relat_1(esk3_0,X2))
| ~ r1_tarski(k3_xboole_0(k1_funct_5(esk3_0),X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_69])]) ).
cnf(c_0_97,negated_conjecture,
k9_relat_1(esk3_0,esk1_0) = k2_funct_5(esk3_0),
inference(spm,[status(thm)],[c_0_74,c_0_36]) ).
cnf(c_0_98,negated_conjecture,
r1_tarski(k3_xboole_0(k1_funct_5(esk3_0),X1),esk1_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
( k9_relat_1(esk3_0,k1_funct_5(esk3_0)) != k2_funct_5(esk3_0)
| ~ m1_relset_1(esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,negated_conjecture,
( k9_relat_1(esk3_0,X1) = k9_relat_1(esk3_0,X2)
| ~ r1_tarski(k9_relat_1(esk3_0,X1),k9_relat_1(esk3_0,X2))
| ~ r1_tarski(k3_xboole_0(k1_funct_5(esk3_0),X2),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_90]),c_0_69])]) ).
cnf(c_0_101,negated_conjecture,
r1_tarski(k9_relat_1(esk3_0,X1),k2_funct_5(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]) ).
cnf(c_0_102,negated_conjecture,
k9_relat_1(esk3_0,k1_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_33]),c_0_36])]) ).
cnf(c_0_103,negated_conjecture,
( k9_relat_1(esk3_0,X1) = k2_funct_5(esk3_0)
| ~ r1_tarski(k3_xboole_0(esk1_0,k1_funct_5(esk3_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_97]),c_0_101]),c_0_80])]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_83])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : SEU446+1 : TPTP v8.2.0. Released v3.4.0.
% 0.14/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Jun 21 16:59:54 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.qF7fh5sSJE/E---3.1_28897.p
% 7.16/1.48 # Version: 3.2.0
% 7.16/1.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.16/1.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.16/1.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.16/1.48 # Starting new_bool_3 with 300s (1) cores
% 7.16/1.48 # Starting new_bool_1 with 300s (1) cores
% 7.16/1.48 # Starting sh5l with 300s (1) cores
% 7.16/1.48 # sh5l with pid 28978 completed with status 0
% 7.16/1.48 # Result found by sh5l
% 7.16/1.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.16/1.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.16/1.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.16/1.48 # Starting new_bool_3 with 300s (1) cores
% 7.16/1.48 # Starting new_bool_1 with 300s (1) cores
% 7.16/1.48 # Starting sh5l with 300s (1) cores
% 7.16/1.48 # SinE strategy is gf500_gu_R04_F100_L20000
% 7.16/1.48 # Search class: FGHSM-FFMM32-MFFFFFNN
% 7.16/1.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 7.16/1.48 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 7.16/1.48 # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 28982 completed with status 0
% 7.16/1.48 # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 7.16/1.48 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.16/1.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.16/1.48 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.16/1.48 # Starting new_bool_3 with 300s (1) cores
% 7.16/1.48 # Starting new_bool_1 with 300s (1) cores
% 7.16/1.48 # Starting sh5l with 300s (1) cores
% 7.16/1.48 # SinE strategy is gf500_gu_R04_F100_L20000
% 7.16/1.48 # Search class: FGHSM-FFMM32-MFFFFFNN
% 7.16/1.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 7.16/1.48 # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 7.16/1.48 # Preprocessing time : 0.002 s
% 7.16/1.48
% 7.16/1.48 # Proof found!
% 7.16/1.48 # SZS status Theorem
% 7.16/1.48 # SZS output start CNFRefutation
% See solution above
% 7.16/1.48 # Parsed axioms : 76
% 7.16/1.48 # Removed by relevancy pruning/SinE : 12
% 7.16/1.48 # Initial clauses : 90
% 7.16/1.48 # Removed in clause preprocessing : 0
% 7.16/1.48 # Initial clauses in saturation : 90
% 7.16/1.48 # Processed clauses : 8435
% 7.16/1.48 # ...of these trivial : 67
% 7.16/1.48 # ...subsumed : 6390
% 7.16/1.48 # ...remaining for further processing : 1978
% 7.16/1.48 # Other redundant clauses eliminated : 17
% 7.16/1.48 # Clauses deleted for lack of memory : 0
% 7.16/1.48 # Backward-subsumed : 279
% 7.16/1.48 # Backward-rewritten : 39
% 7.16/1.48 # Generated clauses : 69351
% 7.16/1.48 # ...of the previous two non-redundant : 65090
% 7.16/1.48 # ...aggressively subsumed : 0
% 7.16/1.48 # Contextual simplify-reflections : 125
% 7.16/1.48 # Paramodulations : 69261
% 7.16/1.48 # Factorizations : 20
% 7.16/1.48 # NegExts : 0
% 7.16/1.48 # Equation resolutions : 70
% 7.16/1.48 # Disequality decompositions : 0
% 7.16/1.48 # Total rewrite steps : 17305
% 7.16/1.48 # ...of those cached : 16757
% 7.16/1.48 # Propositional unsat checks : 0
% 7.16/1.48 # Propositional check models : 0
% 7.16/1.48 # Propositional check unsatisfiable : 0
% 7.16/1.48 # Propositional clauses : 0
% 7.16/1.48 # Propositional clauses after purity: 0
% 7.16/1.48 # Propositional unsat core size : 0
% 7.16/1.48 # Propositional preprocessing time : 0.000
% 7.16/1.48 # Propositional encoding time : 0.000
% 7.16/1.48 # Propositional solver time : 0.000
% 7.16/1.48 # Success case prop preproc time : 0.000
% 7.16/1.48 # Success case prop encoding time : 0.000
% 7.16/1.48 # Success case prop solver time : 0.000
% 7.16/1.48 # Current number of processed clauses : 1658
% 7.16/1.48 # Positive orientable unit clauses : 146
% 7.16/1.48 # Positive unorientable unit clauses: 1
% 7.16/1.48 # Negative unit clauses : 44
% 7.16/1.48 # Non-unit-clauses : 1467
% 7.16/1.48 # Current number of unprocessed clauses: 55567
% 7.16/1.48 # ...number of literals in the above : 240611
% 7.16/1.48 # Current number of archived formulas : 0
% 7.16/1.48 # Current number of archived clauses : 318
% 7.16/1.48 # Clause-clause subsumption calls (NU) : 235628
% 7.16/1.48 # Rec. Clause-clause subsumption calls : 118374
% 7.16/1.48 # Non-unit clause-clause subsumptions : 3733
% 7.16/1.48 # Unit Clause-clause subsumption calls : 14367
% 7.16/1.48 # Rewrite failures with RHS unbound : 0
% 7.16/1.48 # BW rewrite match attempts : 80
% 7.16/1.48 # BW rewrite match successes : 22
% 7.16/1.48 # Condensation attempts : 0
% 7.16/1.48 # Condensation successes : 0
% 7.16/1.48 # Termbank termtop insertions : 961163
% 7.16/1.48 # Search garbage collected termcells : 1016
% 7.16/1.48
% 7.16/1.48 # -------------------------------------------------
% 7.16/1.48 # User time : 0.820 s
% 7.16/1.48 # System time : 0.023 s
% 7.16/1.48 # Total time : 0.843 s
% 7.16/1.48 # Maximum resident set size: 2064 pages
% 7.16/1.48
% 7.16/1.48 # -------------------------------------------------
% 7.16/1.48 # User time : 0.823 s
% 7.16/1.48 # System time : 0.024 s
% 7.16/1.48 # Total time : 0.848 s
% 7.16/1.48 # Maximum resident set size: 1748 pages
% 7.16/1.48 % E---3.1 exiting
% 7.16/1.48 % E exiting
%------------------------------------------------------------------------------