TSTP Solution File: TOP036+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : TOP036+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : Tue May 21 09:16:56 EDT 2024
% Result : Theorem 10.90s 1.92s
% Output : CNFRefutation 10.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of formulae : 149 ( 29 unt; 0 def)
% Number of atoms : 553 ( 88 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 643 ( 239 ~; 245 |; 110 &)
% ( 4 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-4 aty)
% Number of variables : 230 ( 2 sgn 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t28_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k4_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X1,X3)) = k4_pre_topc(X1,X2,k3_tsp_2(X1,X2),k4_tex_4(X1,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_tsp_2) ).
fof(dt_k3_tsp_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k3_tsp_2(X1,X2))
& v1_funct_2(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k3_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_tsp_2) ).
fof(redefinition_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_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(dt_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(t51_tops_2,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_struct_0(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( k1_relat_1(X3) = k2_pre_topc(X1)
& r1_tarski(k2_relat_1(X3),k2_pre_topc(X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_tops_2) ).
fof(redefinition_k5_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k5_pre_topc(X1,X2,X3,X4) = k10_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_pre_topc) ).
fof(dt_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(t27_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k5_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),k3_tsp_2(X1,X2),X3))) = k4_tex_4(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_tsp_2) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
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/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(t152_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ~ ( X1 != k1_xboole_0
& r1_tarski(X1,k1_relat_1(X2))
& k9_relat_1(X2,X1) = k1_xboole_0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t152_relat_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(redefinition_k1_struct_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
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(redefinition_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(t117_funct_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> ( r2_hidden(X1,k1_relat_1(X2))
=> k9_relat_1(X2,k1_tarski(X1)) = k1_tarski(k1_funct_1(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_1) ).
fof(fc6_membered,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(dt_k4_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k4_tex_4(X1,X2))
& m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tex_4) ).
fof(t12_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> k2_pre_topc(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(t39_zfmisc_1,axiom,
! [X1,X2] :
( r1_tarski(X1,k1_tarski(X2))
<=> ( X1 = k1_xboole_0
| X1 = k1_tarski(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_zfmisc_1) ).
fof(t145_funct_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X2)
& v1_funct_1(X2) )
=> r1_tarski(k9_relat_1(X2,k10_relat_1(X2,X1)),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t145_funct_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
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(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(c_0_26,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k4_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X1,X3)) = k4_pre_topc(X1,X2,k3_tsp_2(X1,X2),k4_tex_4(X1,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_tsp_2])]) ).
fof(c_0_27,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k3_tsp_2(X1,X2))
& v1_funct_2(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k3_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k3_tsp_2]) ).
fof(c_0_28,plain,
! [X190,X191] :
( ( ~ m2_tsp_1(X191,X190)
| m1_pre_topc(X191,X190)
| ~ l1_pre_topc(X190) )
& ( ~ m1_pre_topc(X191,X190)
| m2_tsp_1(X191,X190)
| ~ l1_pre_topc(X190) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])])]) ).
fof(c_0_29,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_tsp_2(esk2_0,esk1_0)
& m2_tsp_1(esk2_0,esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k1_struct_0(esk1_0,esk3_0)) != k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_30,plain,
! [X95,X96] :
( ( v1_funct_1(k3_tsp_2(X95,X96))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) )
& ( v1_funct_2(k3_tsp_2(X95,X96),u1_struct_0(X95),u1_struct_0(X96))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) )
& ( v5_pre_topc(k3_tsp_2(X95,X96),X95,X96)
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) )
& ( m2_relset_1(k3_tsp_2(X95,X96),u1_struct_0(X95),u1_struct_0(X96))
| v3_struct_0(X95)
| ~ v2_pre_topc(X95)
| ~ l1_pre_topc(X95)
| v3_struct_0(X96)
| ~ v2_tsp_2(X96,X95)
| ~ m1_pre_topc(X96,X95) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
cnf(c_0_31,plain,
( m1_pre_topc(X1,X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_34,plain,
! [X187,X188,X189] :
( ( ~ m2_relset_1(X189,X187,X188)
| m1_relset_1(X189,X187,X188) )
& ( ~ m1_relset_1(X189,X187,X188)
| m2_relset_1(X189,X187,X188) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_35,plain,
( m2_relset_1(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_37,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_41,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
inference(fof_simplification,[status(thm)],[dt_k8_funct_2]) ).
fof(c_0_42,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
fof(c_0_43,plain,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_struct_0(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( k1_relat_1(X3) = k2_pre_topc(X1)
& r1_tarski(k2_relat_1(X3),k2_pre_topc(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t51_tops_2]) ).
fof(c_0_44,plain,
! [X179,X180,X181,X182] :
( ~ l1_struct_0(X179)
| ~ l1_struct_0(X180)
| ~ v1_funct_1(X181)
| ~ v1_funct_2(X181,u1_struct_0(X179),u1_struct_0(X180))
| ~ m1_relset_1(X181,u1_struct_0(X179),u1_struct_0(X180))
| k5_pre_topc(X179,X180,X181,X182) = k10_relat_1(X181,X182) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_pre_topc])])]) ).
cnf(c_0_45,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_46,negated_conjecture,
m2_relset_1(k3_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_33]),c_0_38])]),c_0_39]),c_0_40]) ).
cnf(c_0_47,plain,
( v1_funct_2(k3_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_48,plain,
( v1_funct_1(k3_tsp_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_49,plain,
! [X117,X118] :
( ~ l1_pre_topc(X117)
| ~ m2_tsp_1(X118,X117)
| l1_pre_topc(X118) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])])]) ).
fof(c_0_50,plain,
! [X107,X108,X109,X110] :
( v1_xboole_0(X107)
| ~ v1_funct_1(X109)
| ~ v1_funct_2(X109,X107,X108)
| ~ m1_relset_1(X109,X107,X108)
| ~ m1_subset_1(X110,X107)
| m1_subset_1(k8_funct_2(X107,X108,X109,X110),X108) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_51,plain,
! [X183,X184,X185,X186] :
( v1_xboole_0(X183)
| ~ v1_funct_1(X185)
| ~ v1_funct_2(X185,X183,X184)
| ~ m1_relset_1(X185,X183,X184)
| ~ m1_subset_1(X186,X183)
| k8_funct_2(X183,X184,X185,X186) = k1_funct_1(X185,X186) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).
fof(c_0_52,plain,
! [X214,X215,X216] :
( ( k1_relat_1(X216) = k2_pre_topc(X214)
| ~ v1_funct_1(X216)
| ~ v1_funct_2(X216,u1_struct_0(X214),u1_struct_0(X215))
| ~ m2_relset_1(X216,u1_struct_0(X214),u1_struct_0(X215))
| v3_struct_0(X215)
| ~ l1_struct_0(X215)
| ~ l1_struct_0(X214) )
& ( r1_tarski(k2_relat_1(X216),k2_pre_topc(X215))
| ~ v1_funct_1(X216)
| ~ v1_funct_2(X216,u1_struct_0(X214),u1_struct_0(X215))
| ~ m2_relset_1(X216,u1_struct_0(X214),u1_struct_0(X215))
| v3_struct_0(X215)
| ~ l1_struct_0(X215)
| ~ l1_struct_0(X214) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])]) ).
fof(c_0_53,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k5_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),k3_tsp_2(X1,X2),X3))) = k4_tex_4(X1,X3) ) ) ),
inference(fof_simplification,[status(thm)],[t27_tsp_2]) ).
cnf(c_0_54,plain,
( k5_pre_topc(X1,X2,X3,X4) = k10_relat_1(X3,X4)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_55,negated_conjecture,
m1_relset_1(k3_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,negated_conjecture,
v1_funct_2(k3_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_36]),c_0_37]),c_0_33]),c_0_38])]),c_0_39]),c_0_40]) ).
cnf(c_0_57,negated_conjecture,
v1_funct_1(k3_tsp_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_36]),c_0_37]),c_0_33]),c_0_38])]),c_0_39]),c_0_40]) ).
fof(c_0_58,plain,
! [X111] :
( ~ l1_pre_topc(X111)
| l1_struct_0(X111) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])])]) ).
cnf(c_0_59,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X3,X2,X4),X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,plain,
( v1_xboole_0(X1)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
( k1_relat_1(X1) = k2_pre_topc(X2)
| v3_struct_0(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ l1_struct_0(X3)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_63,plain,
! [X114,X115,X116] :
( ~ m2_relset_1(X116,X114,X115)
| m1_subset_1(X116,k1_zfmisc_1(k2_zfmisc_1(X114,X115))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])])]) ).
fof(c_0_64,plain,
! [X1,X2] :
( v1_relat_1(X2)
=> ~ ( X1 != k1_xboole_0
& r1_tarski(X1,k1_relat_1(X2))
& k9_relat_1(X2,X1) = k1_xboole_0 ) ),
inference(fof_simplification,[status(thm)],[t152_relat_1]) ).
fof(c_0_65,plain,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
inference(fof_simplification,[status(thm)],[t8_boole]) ).
fof(c_0_66,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_struct_0]) ).
fof(c_0_67,plain,
! [X202,X203,X204] :
( v3_struct_0(X202)
| ~ v2_pre_topc(X202)
| ~ l1_pre_topc(X202)
| v3_struct_0(X203)
| ~ v2_tsp_2(X203,X202)
| ~ m2_tsp_1(X203,X202)
| ~ m1_subset_1(X204,u1_struct_0(X202))
| k5_pre_topc(X202,X203,k3_tsp_2(X202,X203),k1_struct_0(X203,k8_funct_2(u1_struct_0(X202),u1_struct_0(X203),k3_tsp_2(X202,X203),X204))) = k4_tex_4(X202,X204) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).
cnf(c_0_68,negated_conjecture,
( k5_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k10_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57])]) ).
cnf(c_0_69,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_70,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_32]),c_0_33])]) ).
cnf(c_0_71,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),X1),u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_55]),c_0_56]),c_0_57])]) ).
cnf(c_0_72,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_73,negated_conjecture,
( k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),X1) = k1_funct_1(k3_tsp_2(esk1_0,esk2_0),X1)
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_55]),c_0_56]),c_0_57])]) ).
cnf(c_0_74,negated_conjecture,
( k1_relat_1(k3_tsp_2(esk1_0,esk2_0)) = k2_pre_topc(esk1_0)
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_46]),c_0_56]),c_0_57])]),c_0_39]) ).
fof(c_0_75,plain,
! [X41,X42,X43] :
( ~ m1_subset_1(X43,k1_zfmisc_1(k2_zfmisc_1(X41,X42)))
| v1_relat_1(X43) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])]) ).
cnf(c_0_76,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_63]) ).
fof(c_0_77,plain,
! [X198,X199] :
( ~ v1_relat_1(X199)
| X198 = k1_xboole_0
| ~ r1_tarski(X198,k1_relat_1(X199))
| k9_relat_1(X199,X198) != k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])]) ).
fof(c_0_78,plain,
! [X223,X224] :
( ~ v1_xboole_0(X223)
| X223 = X224
| ~ v1_xboole_0(X224) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])]) ).
fof(c_0_79,plain,
! [X169,X170] :
( v3_struct_0(X169)
| ~ l1_struct_0(X169)
| ~ m1_subset_1(X170,u1_struct_0(X169))
| k1_struct_0(X169,X170) = k1_tarski(X170) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
fof(c_0_80,plain,
! [X173,X174,X175,X176] :
( ~ l1_struct_0(X173)
| ~ l1_struct_0(X174)
| ~ v1_funct_1(X175)
| ~ v1_funct_2(X175,u1_struct_0(X173),u1_struct_0(X174))
| ~ m1_relset_1(X175,u1_struct_0(X173),u1_struct_0(X174))
| k4_pre_topc(X173,X174,X175,X176) = k9_relat_1(X175,X176) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_pre_topc])])]) ).
cnf(c_0_81,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k5_pre_topc(X1,X2,k3_tsp_2(X1,X2),k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),k3_tsp_2(X1,X2),X3))) = k4_tex_4(X1,X3)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_82,negated_conjecture,
( k5_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k10_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_83,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),esk3_0),u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_84,negated_conjecture,
( k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),esk3_0) = k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_72]) ).
fof(c_0_85,plain,
! [X193,X194] :
( ~ v1_relat_1(X194)
| ~ v1_funct_1(X194)
| ~ r2_hidden(X193,k1_relat_1(X194))
| k9_relat_1(X194,k1_tarski(X193)) = k1_tarski(k1_funct_1(X194,X193)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t117_funct_1])])]) ).
cnf(c_0_86,negated_conjecture,
( k1_relat_1(k3_tsp_2(esk1_0,esk2_0)) = k2_pre_topc(esk1_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_69]),c_0_70])]) ).
cnf(c_0_87,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_88,negated_conjecture,
m1_subset_1(k3_tsp_2(esk1_0,esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))),
inference(spm,[status(thm)],[c_0_76,c_0_46]) ).
cnf(c_0_89,plain,
( X2 = k1_xboole_0
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,k1_relat_1(X1))
| k9_relat_1(X1,X2) != k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_90,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_91,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
fof(c_0_92,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k4_tex_4(X1,X2))
& m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_tex_4]) ).
cnf(c_0_93,plain,
( v3_struct_0(X1)
| k1_struct_0(X1,X2) = k1_tarski(X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_94,plain,
( k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_95,negated_conjecture,
( k5_pre_topc(esk1_0,X1,k3_tsp_2(esk1_0,X1),k1_struct_0(X1,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(X1),k3_tsp_2(esk1_0,X1),esk3_0))) = k4_tex_4(esk1_0,esk3_0)
| v3_struct_0(X1)
| ~ m2_tsp_1(X1,esk1_0)
| ~ v2_tsp_2(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_72]),c_0_33]),c_0_38])]),c_0_40]) ).
cnf(c_0_96,negated_conjecture,
k5_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k10_relat_1(k3_tsp_2(esk1_0,esk2_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_69]),c_0_33])]) ).
cnf(c_0_97,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| m1_subset_1(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0),u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_98,plain,
( k9_relat_1(X1,k1_tarski(X2)) = k1_tarski(k1_funct_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ r2_hidden(X2,k1_relat_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_99,negated_conjecture,
k1_relat_1(k3_tsp_2(esk1_0,esk2_0)) = k2_pre_topc(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_69]),c_0_33])]) ).
cnf(c_0_100,negated_conjecture,
v1_relat_1(k3_tsp_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
fof(c_0_101,plain,
! [X195] :
( ~ l1_struct_0(X195)
| k2_pre_topc(X195) = u1_struct_0(X195) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_pre_topc])])]) ).
cnf(c_0_102,plain,
( X1 = k1_xboole_0
| ~ r1_tarski(X1,k1_relat_1(X2))
| ~ v1_relat_1(X2)
| ~ v1_xboole_0(k9_relat_1(X2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90])]),c_0_91])]) ).
fof(c_0_103,plain,
! [X101,X102] :
( ( ~ v1_xboole_0(k4_tex_4(X101,X102))
| v3_struct_0(X101)
| ~ v2_pre_topc(X101)
| ~ l1_pre_topc(X101)
| ~ m1_subset_1(X102,u1_struct_0(X101)) )
& ( m1_subset_1(k4_tex_4(X101,X102),k1_zfmisc_1(u1_struct_0(X101)))
| v3_struct_0(X101)
| ~ v2_pre_topc(X101)
| ~ l1_pre_topc(X101)
| ~ m1_subset_1(X102,u1_struct_0(X101)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])]) ).
cnf(c_0_104,negated_conjecture,
( k1_struct_0(esk1_0,esk3_0) = k1_tarski(esk3_0)
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_72]),c_0_40]) ).
cnf(c_0_105,negated_conjecture,
( k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)
| ~ l1_struct_0(esk2_0)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_55]),c_0_56]),c_0_57])]) ).
fof(c_0_106,plain,
! [X207,X208] :
( ( ~ r1_tarski(X207,k1_tarski(X208))
| X207 = k1_xboole_0
| X207 = k1_tarski(X208) )
& ( X207 != k1_xboole_0
| r1_tarski(X207,k1_tarski(X208)) )
& ( X207 != k1_tarski(X208)
| r1_tarski(X207,k1_tarski(X208)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_zfmisc_1])])])]) ).
fof(c_0_107,plain,
! [X196,X197] :
( ~ v1_relat_1(X197)
| ~ v1_funct_1(X197)
| r1_tarski(k9_relat_1(X197,k10_relat_1(X197,X196)),X196) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t145_funct_1])])]) ).
cnf(c_0_108,negated_conjecture,
k10_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_struct_0(esk2_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tsp_2(esk1_0,esk2_0),esk3_0))) = k4_tex_4(esk1_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_32]),c_0_96]),c_0_37])]),c_0_39]) ).
cnf(c_0_109,negated_conjecture,
( k1_struct_0(esk2_0,k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0)) = k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0))
| v1_xboole_0(u1_struct_0(esk1_0))
| ~ l1_struct_0(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_97]),c_0_39]) ).
cnf(c_0_110,negated_conjecture,
( k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),X1)) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(X1))
| ~ r2_hidden(X1,k2_pre_topc(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_57])]),c_0_100])]) ).
cnf(c_0_111,plain,
( k2_pre_topc(X1) = u1_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
fof(c_0_112,plain,
! [X205,X206] :
( ~ m1_subset_1(X205,X206)
| v1_xboole_0(X206)
| r2_hidden(X205,X206) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_113,negated_conjecture,
( X1 = k1_xboole_0
| ~ r1_tarski(X1,k2_pre_topc(esk1_0))
| ~ v1_xboole_0(k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_99]),c_0_100])]) ).
fof(c_0_114,plain,
! [X209,X210] :
( ( ~ m1_subset_1(X209,k1_zfmisc_1(X210))
| r1_tarski(X209,X210) )
& ( ~ r1_tarski(X209,X210)
| m1_subset_1(X209,k1_zfmisc_1(X210)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])]) ).
cnf(c_0_115,plain,
( m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_116,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k1_struct_0(esk1_0,esk3_0)) != k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_117,negated_conjecture,
k1_struct_0(esk1_0,esk3_0) = k1_tarski(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_69]),c_0_33])]) ).
cnf(c_0_118,negated_conjecture,
( k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)
| ~ l1_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_69]),c_0_70])]) ).
cnf(c_0_119,plain,
( X1 = k1_xboole_0
| X1 = k1_tarski(X2)
| ~ r1_tarski(X1,k1_tarski(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_120,plain,
( r1_tarski(k9_relat_1(X1,k10_relat_1(X1,X2)),X2)
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_121,negated_conjecture,
( k10_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_struct_0(esk2_0,k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0))) = k4_tex_4(esk1_0,esk3_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_108,c_0_84]) ).
cnf(c_0_122,negated_conjecture,
( k1_struct_0(esk2_0,k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0)) = k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_69]),c_0_70])]) ).
cnf(c_0_123,negated_conjecture,
( k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),X1)) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(X1))
| ~ l1_struct_0(esk1_0)
| ~ r2_hidden(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_124,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_125,negated_conjecture,
( X1 = k1_xboole_0
| ~ r1_tarski(X1,u1_struct_0(esk1_0))
| ~ l1_struct_0(esk1_0)
| ~ v1_xboole_0(k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)) ),
inference(spm,[status(thm)],[c_0_113,c_0_111]) ).
cnf(c_0_126,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_127,negated_conjecture,
m1_subset_1(k4_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_72]),c_0_33]),c_0_38])]),c_0_40]) ).
cnf(c_0_128,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) != k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),k1_tarski(esk3_0)),
inference(rw,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_129,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k3_tsp_2(esk1_0,esk2_0),X1) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_69]),c_0_33])]) ).
cnf(c_0_130,plain,
( k9_relat_1(X1,k10_relat_1(X1,k1_tarski(X2))) = k1_tarski(X2)
| k9_relat_1(X1,k10_relat_1(X1,k1_tarski(X2))) = k1_xboole_0
| ~ v1_funct_1(X1)
| ~ v1_relat_1(X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_131,negated_conjecture,
( k10_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0))) = k4_tex_4(esk1_0,esk3_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_132,negated_conjecture,
( k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),X1)) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(X1))
| ~ r2_hidden(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_69]),c_0_33])]) ).
cnf(c_0_133,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk1_0))
| r2_hidden(esk3_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_124,c_0_72]) ).
cnf(c_0_134,negated_conjecture,
( X1 = k1_xboole_0
| ~ r1_tarski(X1,u1_struct_0(esk1_0))
| ~ v1_xboole_0(k9_relat_1(k3_tsp_2(esk1_0,esk2_0),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_69]),c_0_33])]) ).
cnf(c_0_135,negated_conjecture,
r1_tarski(k4_tex_4(esk1_0,esk3_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_136,negated_conjecture,
k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) != k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129]),c_0_129]) ).
cnf(c_0_137,negated_conjecture,
( k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) = k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0))
| k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) = k1_xboole_0
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_57]),c_0_100])]) ).
cnf(c_0_138,negated_conjecture,
( k1_tarski(k1_funct_1(k3_tsp_2(esk1_0,esk2_0),esk3_0)) = k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k1_tarski(esk3_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
fof(c_0_139,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_140,negated_conjecture,
( k4_tex_4(esk1_0,esk3_0) = k1_xboole_0
| ~ v1_xboole_0(k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0))) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_141,negated_conjecture,
( k9_relat_1(k3_tsp_2(esk1_0,esk2_0),k4_tex_4(esk1_0,esk3_0)) = k1_xboole_0
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
fof(c_0_142,plain,
! [X135] :
( v3_struct_0(X135)
| ~ l1_struct_0(X135)
| ~ v1_xboole_0(u1_struct_0(X135)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_139])])]) ).
cnf(c_0_143,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(k4_tex_4(X1,X2))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_144,negated_conjecture,
( k4_tex_4(esk1_0,esk3_0) = k1_xboole_0
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_91])]) ).
cnf(c_0_145,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_146,negated_conjecture,
v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[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_143,c_0_144]),c_0_91]),c_0_72]),c_0_33]),c_0_38])]),c_0_40]) ).
cnf(c_0_147,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_40]) ).
cnf(c_0_148,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_69]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP036+1 : TPTP v8.2.0. Released v3.4.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.15/0.34 % Computer : n011.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat May 18 11:13:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.90/1.92 # Version: 3.1.0
% 10.90/1.92 # Preprocessing class: FSLSSMSSSSSNFFN.
% 10.90/1.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.90/1.92 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.90/1.92 # Starting new_bool_3 with 300s (1) cores
% 10.90/1.92 # Starting new_bool_1 with 300s (1) cores
% 10.90/1.92 # Starting sh5l with 300s (1) cores
% 10.90/1.92 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 5456 completed with status 0
% 10.90/1.92 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.90/1.92 # Preprocessing class: FSLSSMSSSSSNFFN.
% 10.90/1.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.90/1.92 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.90/1.92 # No SInE strategy applied
% 10.90/1.92 # Search class: FGHSM-FSLM31-MFFFFFNN
% 10.90/1.92 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.90/1.92 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 10.90/1.92 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.90/1.92 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 10.90/1.92 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 10.90/1.92 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 10.90/1.92 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 5463 completed with status 0
% 10.90/1.92 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.90/1.92 # Preprocessing class: FSLSSMSSSSSNFFN.
% 10.90/1.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.90/1.92 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.90/1.92 # No SInE strategy applied
% 10.90/1.92 # Search class: FGHSM-FSLM31-MFFFFFNN
% 10.90/1.92 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.90/1.92 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 10.90/1.92 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 10.90/1.92 # Preprocessing time : 0.003 s
% 10.90/1.92 # Presaturation interreduction done
% 10.90/1.92
% 10.90/1.92 # Proof found!
% 10.90/1.92 # SZS status Theorem
% 10.90/1.92 # SZS output start CNFRefutation
% See solution above
% 10.90/1.92 # Parsed axioms : 131
% 10.90/1.92 # Removed by relevancy pruning/SinE : 0
% 10.90/1.92 # Initial clauses : 287
% 10.90/1.92 # Removed in clause preprocessing : 47
% 10.90/1.92 # Initial clauses in saturation : 240
% 10.90/1.92 # Processed clauses : 14891
% 10.90/1.92 # ...of these trivial : 17
% 10.90/1.92 # ...subsumed : 9556
% 10.90/1.92 # ...remaining for further processing : 5318
% 10.90/1.92 # Other redundant clauses eliminated : 18
% 10.90/1.92 # Clauses deleted for lack of memory : 0
% 10.90/1.92 # Backward-subsumed : 116
% 10.90/1.92 # Backward-rewritten : 1378
% 10.90/1.92 # Generated clauses : 39012
% 10.90/1.92 # ...of the previous two non-redundant : 38742
% 10.90/1.92 # ...aggressively subsumed : 0
% 10.90/1.92 # Contextual simplify-reflections : 93
% 10.90/1.92 # Paramodulations : 38990
% 10.90/1.92 # Factorizations : 4
% 10.90/1.92 # NegExts : 0
% 10.90/1.92 # Equation resolutions : 18
% 10.90/1.92 # Disequality decompositions : 0
% 10.90/1.92 # Total rewrite steps : 3799
% 10.90/1.92 # ...of those cached : 3655
% 10.90/1.92 # Propositional unsat checks : 1
% 10.90/1.92 # Propositional check models : 1
% 10.90/1.92 # Propositional check unsatisfiable : 0
% 10.90/1.92 # Propositional clauses : 0
% 10.90/1.92 # Propositional clauses after purity: 0
% 10.90/1.92 # Propositional unsat core size : 0
% 10.90/1.92 # Propositional preprocessing time : 0.000
% 10.90/1.92 # Propositional encoding time : 0.022
% 10.90/1.92 # Propositional solver time : 0.012
% 10.90/1.92 # Success case prop preproc time : 0.000
% 10.90/1.92 # Success case prop encoding time : 0.000
% 10.90/1.92 # Success case prop solver time : 0.000
% 10.90/1.92 # Current number of processed clauses : 3609
% 10.90/1.92 # Positive orientable unit clauses : 134
% 10.90/1.92 # Positive unorientable unit clauses: 0
% 10.90/1.92 # Negative unit clauses : 28
% 10.90/1.92 # Non-unit-clauses : 3447
% 10.90/1.92 # Current number of unprocessed clauses: 23879
% 10.90/1.92 # ...number of literals in the above : 127513
% 10.90/1.92 # Current number of archived formulas : 0
% 10.90/1.92 # Current number of archived clauses : 1707
% 10.90/1.92 # Clause-clause subsumption calls (NU) : 2534638
% 10.90/1.92 # Rec. Clause-clause subsumption calls : 1474890
% 10.90/1.92 # Non-unit clause-clause subsumptions : 6560
% 10.90/1.92 # Unit Clause-clause subsumption calls : 7574
% 10.90/1.92 # Rewrite failures with RHS unbound : 0
% 10.90/1.92 # BW rewrite match attempts : 190
% 10.90/1.92 # BW rewrite match successes : 26
% 10.90/1.92 # Condensation attempts : 0
% 10.90/1.92 # Condensation successes : 0
% 10.90/1.92 # Termbank termtop insertions : 809373
% 10.90/1.92 # Search garbage collected termcells : 3390
% 10.90/1.92
% 10.90/1.92 # -------------------------------------------------
% 10.90/1.92 # User time : 1.393 s
% 10.90/1.92 # System time : 0.022 s
% 10.90/1.92 # Total time : 1.415 s
% 10.90/1.92 # Maximum resident set size: 2604 pages
% 10.90/1.92
% 10.90/1.92 # -------------------------------------------------
% 10.90/1.92 # User time : 6.904 s
% 10.90/1.92 # System time : 0.123 s
% 10.90/1.92 # Total time : 7.027 s
% 10.90/1.92 # Maximum resident set size: 1884 pages
% 10.90/1.92 % E---3.1 exiting
%------------------------------------------------------------------------------