TSTP Solution File: LAT379+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : LAT379+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 May 20 23:27:26 EDT 2024
% Result : Theorem 1.29s 0.63s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 109 ( 23 unt; 0 def)
% Number of atoms : 461 ( 21 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 581 ( 229 ~; 223 |; 83 &)
% ( 6 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 146 ( 10 sgn 84 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d16_waybel34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(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)) )
=> ( v5_waybel34(X3,X1,X2)
<=> r4_waybel_0(X1,X2,X3,k1_pre_topc(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_waybel34) ).
fof(t65_waybel34,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(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)) )
=> ( v4_waybel34(X3,X1,X2)
=> ( v20_waybel_0(X3,X1,X2)
& v5_waybel34(X3,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_waybel34) ).
fof(d35_waybel_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(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)) )
=> ( v20_waybel_0(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> r4_waybel_0(X1,X2,X3,k2_struct_0(X1,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d35_waybel_0) ).
fof(d15_waybel34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(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)) )
=> ( v4_waybel34(X3,X1,X2)
<=> ! [X4] :
( ( v1_finset_1(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> r4_waybel_0(X1,X2,X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d15_waybel34) ).
fof(cc1_finset_1,axiom,
! [X1] :
( v1_xboole_0(X1)
=> v1_finset_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_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(fc1_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( v1_xboole_0(k1_pre_topc(X1))
& v1_membered(k1_pre_topc(X1))
& v2_membered(k1_pre_topc(X1))
& v3_membered(k1_pre_topc(X1))
& v4_membered(k1_pre_topc(X1))
& v5_membered(k1_pre_topc(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_pre_topc) ).
fof(dt_k1_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_pre_topc) ).
fof(redefinition_k2_struct_0,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_struct_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(existence_l1_struct_0,axiom,
? [X1] : l1_struct_0(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(rc3_struct_0,axiom,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(fc2_finset_1,axiom,
! [X1,X2] :
( ~ v1_xboole_0(k2_tarski(X1,X2))
& v1_finset_1(k2_tarski(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_finset_1) ).
fof(dt_k2_struct_0,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_struct_0) ).
fof(commutativity_k2_tarski,axiom,
! [X1,X2] : k2_tarski(X1,X2) = k2_tarski(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(c_0_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(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)) )
=> ( v5_waybel34(X3,X1,X2)
<=> r4_waybel_0(X1,X2,X3,k1_pre_topc(X1)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d16_waybel34]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(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)) )
=> ( v4_waybel34(X3,X1,X2)
=> ( v20_waybel_0(X3,X1,X2)
& v5_waybel34(X3,X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t65_waybel34])]) ).
fof(c_0_17,plain,
! [X9,X10,X11] :
( ( ~ v5_waybel34(X11,X9,X10)
| r4_waybel_0(X9,X10,X11,k1_pre_topc(X9))
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,u1_struct_0(X9),u1_struct_0(X10))
| ~ m2_relset_1(X11,u1_struct_0(X9),u1_struct_0(X10))
| v3_struct_0(X10)
| ~ l1_orders_2(X10)
| v3_struct_0(X9)
| ~ l1_orders_2(X9) )
& ( ~ r4_waybel_0(X9,X10,X11,k1_pre_topc(X9))
| v5_waybel34(X11,X9,X10)
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,u1_struct_0(X9),u1_struct_0(X10))
| ~ m2_relset_1(X11,u1_struct_0(X9),u1_struct_0(X10))
| v3_struct_0(X10)
| ~ l1_orders_2(X10)
| v3_struct_0(X9)
| ~ l1_orders_2(X9) ) ),
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_15])])])])]) ).
fof(c_0_18,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& l1_orders_2(esk1_0)
& ~ v3_struct_0(esk2_0)
& l1_orders_2(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v4_waybel34(esk3_0,esk1_0,esk2_0)
& ( ~ v20_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ v5_waybel34(esk3_0,esk1_0,esk2_0) ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(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)) )
=> ( v20_waybel_0(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> r4_waybel_0(X1,X2,X3,k2_struct_0(X1,X4,X5)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d35_waybel_0]) ).
cnf(c_0_20,plain,
( v5_waybel34(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ r4_waybel_0(X1,X2,X3,k1_pre_topc(X1))
| ~ 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))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,plain,
! [X12,X13,X14,X15,X16] :
( ( ~ v20_waybel_0(X14,X12,X13)
| ~ m1_subset_1(X15,u1_struct_0(X12))
| ~ m1_subset_1(X16,u1_struct_0(X12))
| r4_waybel_0(X12,X13,X14,k2_struct_0(X12,X15,X16))
| ~ v1_funct_1(X14)
| ~ v1_funct_2(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ m2_relset_1(X14,u1_struct_0(X12),u1_struct_0(X13))
| v3_struct_0(X13)
| ~ l1_orders_2(X13)
| v3_struct_0(X12)
| ~ l1_orders_2(X12) )
& ( m1_subset_1(esk4_3(X12,X13,X14),u1_struct_0(X12))
| v20_waybel_0(X14,X12,X13)
| ~ v1_funct_1(X14)
| ~ v1_funct_2(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ m2_relset_1(X14,u1_struct_0(X12),u1_struct_0(X13))
| v3_struct_0(X13)
| ~ l1_orders_2(X13)
| v3_struct_0(X12)
| ~ l1_orders_2(X12) )
& ( m1_subset_1(esk5_3(X12,X13,X14),u1_struct_0(X12))
| v20_waybel_0(X14,X12,X13)
| ~ v1_funct_1(X14)
| ~ v1_funct_2(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ m2_relset_1(X14,u1_struct_0(X12),u1_struct_0(X13))
| v3_struct_0(X13)
| ~ l1_orders_2(X13)
| v3_struct_0(X12)
| ~ l1_orders_2(X12) )
& ( ~ r4_waybel_0(X12,X13,X14,k2_struct_0(X12,esk4_3(X12,X13,X14),esk5_3(X12,X13,X14)))
| v20_waybel_0(X14,X12,X13)
| ~ v1_funct_1(X14)
| ~ v1_funct_2(X14,u1_struct_0(X12),u1_struct_0(X13))
| ~ m2_relset_1(X14,u1_struct_0(X12),u1_struct_0(X13))
| v3_struct_0(X13)
| ~ l1_orders_2(X13)
| v3_struct_0(X12)
| ~ l1_orders_2(X12) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])]) ).
fof(c_0_29,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(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)) )
=> ( v4_waybel34(X3,X1,X2)
<=> ! [X4] :
( ( v1_finset_1(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) )
=> r4_waybel_0(X1,X2,X3,X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d15_waybel34]) ).
cnf(c_0_30,negated_conjecture,
( ~ v20_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ v5_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,negated_conjecture,
( v5_waybel34(esk3_0,esk1_0,esk2_0)
| ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(esk1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
( m1_subset_1(esk5_3(X1,X2,X3),u1_struct_0(X1))
| v20_waybel_0(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ 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))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_33,plain,
! [X19,X20,X21,X22] :
( ( ~ v4_waybel34(X21,X19,X20)
| ~ v1_finset_1(X22)
| ~ m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(X19)))
| r4_waybel_0(X19,X20,X21,X22)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ m2_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| v3_struct_0(X20)
| ~ l1_orders_2(X20)
| v3_struct_0(X19)
| ~ l1_orders_2(X19) )
& ( v1_finset_1(esk6_3(X19,X20,X21))
| v4_waybel34(X21,X19,X20)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ m2_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| v3_struct_0(X20)
| ~ l1_orders_2(X20)
| v3_struct_0(X19)
| ~ l1_orders_2(X19) )
& ( m1_subset_1(esk6_3(X19,X20,X21),k1_zfmisc_1(u1_struct_0(X19)))
| v4_waybel34(X21,X19,X20)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ m2_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| v3_struct_0(X20)
| ~ l1_orders_2(X20)
| v3_struct_0(X19)
| ~ l1_orders_2(X19) )
& ( ~ r4_waybel_0(X19,X20,X21,esk6_3(X19,X20,X21))
| v4_waybel34(X21,X19,X20)
| ~ v1_funct_1(X21)
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ m2_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| v3_struct_0(X20)
| ~ l1_orders_2(X20)
| v3_struct_0(X19)
| ~ l1_orders_2(X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])]) ).
cnf(c_0_34,negated_conjecture,
( ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(esk1_0))
| ~ v20_waybel_0(esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| v20_waybel_0(esk3_0,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]),c_0_26]),c_0_27]) ).
cnf(c_0_36,plain,
( r4_waybel_0(X2,X3,X1,X4)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v4_waybel34(X1,X2,X3)
| ~ v1_finset_1(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ 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_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
v4_waybel34(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38,plain,
( m1_subset_1(esk4_3(X1,X2,X3),u1_struct_0(X1))
| v20_waybel_0(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ 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))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,negated_conjecture,
( m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(esk1_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
( r4_waybel_0(esk1_0,esk2_0,esk3_0,X1)
| ~ v1_finset_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_21]),c_0_37]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]),c_0_26]),c_0_27]) ).
fof(c_0_41,plain,
! [X53] :
( ~ v1_xboole_0(X53)
| v1_finset_1(X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])])]) ).
cnf(c_0_42,negated_conjecture,
( m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| v20_waybel_0(esk3_0,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25])]),c_0_26]),c_0_27]) ).
fof(c_0_43,plain,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
inference(fof_simplification,[status(thm)],[t8_boole]) ).
cnf(c_0_44,negated_conjecture,
( m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v1_finset_1(k1_pre_topc(esk1_0))
| ~ m1_subset_1(k1_pre_topc(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( v1_finset_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_46,plain,
! [X35] :
( ( v1_xboole_0(k1_pre_topc(X35))
| ~ l1_struct_0(X35) )
& ( v1_membered(k1_pre_topc(X35))
| ~ l1_struct_0(X35) )
& ( v2_membered(k1_pre_topc(X35))
| ~ l1_struct_0(X35) )
& ( v3_membered(k1_pre_topc(X35))
| ~ l1_struct_0(X35) )
& ( v4_membered(k1_pre_topc(X35))
| ~ l1_struct_0(X35) )
& ( v5_membered(k1_pre_topc(X35))
| ~ l1_struct_0(X35) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_pre_topc])])])]) ).
fof(c_0_47,plain,
! [X34] :
( ~ l1_struct_0(X34)
| m1_subset_1(k1_pre_topc(X34),k1_zfmisc_1(u1_struct_0(X34))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_pre_topc])])]) ).
cnf(c_0_48,negated_conjecture,
( m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(esk1_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_42]) ).
fof(c_0_49,plain,
! [X63,X64] :
( ~ v1_xboole_0(X63)
| X63 = X64
| ~ v1_xboole_0(X64) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).
fof(c_0_50,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3) ),
inference(fof_simplification,[status(thm)],[redefinition_k2_struct_0]) ).
cnf(c_0_51,negated_conjecture,
( m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v1_xboole_0(k1_pre_topc(esk1_0))
| ~ m1_subset_1(k1_pre_topc(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
( v1_xboole_0(k1_pre_topc(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
( m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_54,plain,
! [X31] :
( ~ l1_orders_2(X31)
| l1_struct_0(X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])])]) ).
cnf(c_0_55,negated_conjecture,
( m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v1_finset_1(k1_pre_topc(esk1_0))
| ~ m1_subset_1(k1_pre_topc(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_48,c_0_40]) ).
cnf(c_0_56,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_57,plain,
l1_struct_0(esk15_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_struct_0])]) ).
fof(c_0_58,plain,
! [X42,X43,X44] :
( v3_struct_0(X42)
| ~ l1_struct_0(X42)
| ~ m1_subset_1(X43,u1_struct_0(X42))
| ~ m1_subset_1(X44,u1_struct_0(X42))
| k2_struct_0(X42,X43,X44) = k2_tarski(X43,X44) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])]) ).
cnf(c_0_59,negated_conjecture,
( m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ l1_struct_0(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_60,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v1_xboole_0(k1_pre_topc(esk1_0))
| ~ m1_subset_1(k1_pre_topc(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_55,c_0_45]) ).
cnf(c_0_62,plain,
( X1 = k1_pre_topc(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_52]) ).
cnf(c_0_63,plain,
l1_struct_0(esk15_0),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,negated_conjecture,
m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_25])]) ).
cnf(c_0_66,negated_conjecture,
( m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ l1_struct_0(esk1_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_52]),c_0_53]) ).
fof(c_0_67,plain,
? [X1] :
( l1_struct_0(X1)
& ~ v3_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[rc3_struct_0]) ).
cnf(c_0_68,plain,
( X1 = k1_pre_topc(esk15_0)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
( v20_waybel_0(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ r4_waybel_0(X1,X2,X3,k2_struct_0(X1,esk4_3(X1,X2,X3),esk5_3(X1,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))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_70,negated_conjecture,
( k2_struct_0(esk1_0,X1,esk5_3(esk1_0,esk2_0,esk3_0)) = k2_tarski(X1,esk5_3(esk1_0,esk2_0,esk3_0))
| ~ l1_struct_0(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_27]) ).
cnf(c_0_71,negated_conjecture,
m1_subset_1(esk4_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_60]),c_0_25])]) ).
fof(c_0_72,plain,
! [X1,X2] :
( ~ v1_xboole_0(k2_tarski(X1,X2))
& v1_finset_1(k2_tarski(X1,X2)) ),
inference(fof_simplification,[status(thm)],[fc2_finset_1]) ).
fof(c_0_73,plain,
( l1_struct_0(esk10_0)
& ~ v3_struct_0(esk10_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_67])])]) ).
cnf(c_0_74,plain,
( k1_pre_topc(X1) = k1_pre_topc(esk15_0)
| ~ l1_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_52]) ).
cnf(c_0_75,negated_conjecture,
( v20_waybel_0(esk3_0,esk1_0,esk2_0)
| ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)))
| ~ l1_struct_0(esk1_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_71])]),c_0_26]),c_0_27]) ).
fof(c_0_76,plain,
! [X56,X57] :
( ~ v1_xboole_0(k2_tarski(X56,X57))
& v1_finset_1(k2_tarski(X56,X57)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_72])]) ).
cnf(c_0_77,plain,
l1_struct_0(esk10_0),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_78,plain,
( v1_xboole_0(k1_pre_topc(esk15_0))
| ~ l1_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_74]) ).
cnf(c_0_79,negated_conjecture,
( ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)))
| ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(esk1_0))
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_75]) ).
cnf(c_0_80,plain,
v1_finset_1(k2_tarski(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_81,plain,
( X1 = k1_pre_topc(X2)
| ~ v1_xboole_0(X1)
| ~ l1_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_60]) ).
cnf(c_0_82,plain,
( X1 = k1_pre_topc(esk10_0)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_77]) ).
cnf(c_0_83,plain,
v1_xboole_0(k1_pre_topc(esk15_0)),
inference(spm,[status(thm)],[c_0_78,c_0_63]) ).
cnf(c_0_84,negated_conjecture,
( ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(esk1_0))
| ~ l1_struct_0(esk1_0)
| ~ m1_subset_1(k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_40]),c_0_80])]) ).
cnf(c_0_85,plain,
( k1_pre_topc(X1) = k1_pre_topc(X2)
| ~ l1_struct_0(X1)
| ~ l1_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_52]) ).
cnf(c_0_86,plain,
k1_pre_topc(esk15_0) = k1_pre_topc(esk10_0),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,negated_conjecture,
( ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(X1))
| ~ l1_struct_0(esk1_0)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_25])]) ).
cnf(c_0_88,plain,
( k1_pre_topc(X1) = k1_pre_topc(esk10_0)
| ~ l1_struct_0(X1) ),
inference(rw,[status(thm)],[c_0_74,c_0_86]) ).
fof(c_0_89,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k2_struct_0]) ).
cnf(c_0_90,negated_conjecture,
( ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(esk10_0))
| ~ l1_struct_0(esk1_0)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
fof(c_0_91,plain,
! [X39,X40,X41] :
( v3_struct_0(X39)
| ~ l1_struct_0(X39)
| ~ m1_subset_1(X40,u1_struct_0(X39))
| ~ m1_subset_1(X41,u1_struct_0(X39))
| m1_subset_1(k2_struct_0(X39,X40,X41),k1_zfmisc_1(u1_struct_0(X39))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])]) ).
cnf(c_0_92,negated_conjecture,
( ~ r4_waybel_0(esk1_0,esk2_0,esk3_0,k1_pre_topc(esk10_0))
| ~ l1_struct_0(X1)
| ~ m1_subset_1(k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_60]),c_0_25])]) ).
cnf(c_0_93,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_struct_0(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_94,negated_conjecture,
( ~ l1_struct_0(X1)
| ~ v1_finset_1(k1_pre_topc(esk10_0))
| ~ m1_subset_1(k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k1_pre_topc(esk10_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_92,c_0_40]) ).
cnf(c_0_95,plain,
v1_xboole_0(k1_pre_topc(esk10_0)),
inference(rw,[status(thm)],[c_0_83,c_0_86]) ).
cnf(c_0_96,plain,
( m1_subset_1(k1_pre_topc(esk10_0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_88]) ).
cnf(c_0_97,negated_conjecture,
( m1_subset_1(k2_struct_0(esk1_0,X1,esk4_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_struct_0(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_71]),c_0_27]) ).
cnf(c_0_98,negated_conjecture,
( k2_struct_0(esk1_0,X1,esk4_3(esk1_0,esk2_0,esk3_0)) = k2_tarski(X1,esk4_3(esk1_0,esk2_0,esk3_0))
| ~ l1_struct_0(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_71]),c_0_27]) ).
fof(c_0_99,plain,
! [X76,X77] : k2_tarski(X76,X77) = k2_tarski(X77,X76),
inference(variable_rename,[status(thm)],[commutativity_k2_tarski]) ).
cnf(c_0_100,negated_conjecture,
( ~ l1_struct_0(X1)
| ~ m1_subset_1(k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k1_pre_topc(esk10_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_45]),c_0_95])]) ).
cnf(c_0_101,plain,
( m1_subset_1(k1_pre_topc(esk10_0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_60]) ).
cnf(c_0_102,negated_conjecture,
( m1_subset_1(k2_tarski(X1,esk4_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_struct_0(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
k2_tarski(X1,X2) = k2_tarski(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_104,negated_conjecture,
( ~ l1_struct_0(X1)
| ~ m1_subset_1(k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_25])]) ).
cnf(c_0_105,negated_conjecture,
( m1_subset_1(k2_tarski(esk4_3(esk1_0,esk2_0,esk3_0),X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_struct_0(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| ~ l1_struct_0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_65])]) ).
cnf(c_0_107,negated_conjecture,
~ l1_struct_0(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_60]),c_0_25])]) ).
cnf(c_0_108,plain,
$false,
inference(sr,[status(thm)],[c_0_77,c_0_107]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT379+1 : TPTP v8.2.0. Released v3.4.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n023.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 20:10:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 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
% 1.29/0.63 # Version: 3.1.0
% 1.29/0.63 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.29/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.29/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.29/0.63 # Starting new_bool_3 with 300s (1) cores
% 1.29/0.63 # Starting new_bool_1 with 300s (1) cores
% 1.29/0.63 # Starting sh5l with 300s (1) cores
% 1.29/0.63 # new_bool_1 with pid 18270 completed with status 0
% 1.29/0.63 # Result found by new_bool_1
% 1.29/0.63 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.29/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.29/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.29/0.63 # Starting new_bool_3 with 300s (1) cores
% 1.29/0.63 # Starting new_bool_1 with 300s (1) cores
% 1.29/0.63 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.29/0.63 # Search class: FGHSM-FFMM31-SFFFFFNN
% 1.29/0.63 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 1.29/0.63 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 1.29/0.63 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 18273 completed with status 0
% 1.29/0.63 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 1.29/0.63 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.29/0.63 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.29/0.63 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.29/0.63 # Starting new_bool_3 with 300s (1) cores
% 1.29/0.63 # Starting new_bool_1 with 300s (1) cores
% 1.29/0.63 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.29/0.63 # Search class: FGHSM-FFMM31-SFFFFFNN
% 1.29/0.63 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 1.29/0.63 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 1.29/0.63 # Preprocessing time : 0.003 s
% 1.29/0.63 # Presaturation interreduction done
% 1.29/0.63
% 1.29/0.63 # Proof found!
% 1.29/0.63 # SZS status Theorem
% 1.29/0.63 # SZS output start CNFRefutation
% See solution above
% 1.29/0.64 # Parsed axioms : 83
% 1.29/0.64 # Removed by relevancy pruning/SinE : 45
% 1.29/0.64 # Initial clauses : 85
% 1.29/0.64 # Removed in clause preprocessing : 0
% 1.29/0.64 # Initial clauses in saturation : 85
% 1.29/0.64 # Processed clauses : 2143
% 1.29/0.64 # ...of these trivial : 45
% 1.29/0.64 # ...subsumed : 1206
% 1.29/0.64 # ...remaining for further processing : 892
% 1.29/0.64 # Other redundant clauses eliminated : 0
% 1.29/0.64 # Clauses deleted for lack of memory : 0
% 1.29/0.64 # Backward-subsumed : 214
% 1.29/0.64 # Backward-rewritten : 35
% 1.29/0.64 # Generated clauses : 5273
% 1.29/0.64 # ...of the previous two non-redundant : 4939
% 1.29/0.64 # ...aggressively subsumed : 0
% 1.29/0.64 # Contextual simplify-reflections : 60
% 1.29/0.64 # Paramodulations : 5271
% 1.29/0.64 # Factorizations : 0
% 1.29/0.64 # NegExts : 0
% 1.29/0.64 # Equation resolutions : 0
% 1.29/0.64 # Disequality decompositions : 0
% 1.29/0.64 # Total rewrite steps : 801
% 1.29/0.64 # ...of those cached : 720
% 1.29/0.64 # Propositional unsat checks : 0
% 1.29/0.64 # Propositional check models : 0
% 1.29/0.64 # Propositional check unsatisfiable : 0
% 1.29/0.64 # Propositional clauses : 0
% 1.29/0.64 # Propositional clauses after purity: 0
% 1.29/0.64 # Propositional unsat core size : 0
% 1.29/0.64 # Propositional preprocessing time : 0.000
% 1.29/0.64 # Propositional encoding time : 0.000
% 1.29/0.64 # Propositional solver time : 0.000
% 1.29/0.64 # Success case prop preproc time : 0.000
% 1.29/0.64 # Success case prop encoding time : 0.000
% 1.29/0.64 # Success case prop solver time : 0.000
% 1.29/0.64 # Current number of processed clauses : 556
% 1.29/0.64 # Positive orientable unit clauses : 92
% 1.29/0.64 # Positive unorientable unit clauses: 1
% 1.29/0.64 # Negative unit clauses : 9
% 1.29/0.64 # Non-unit-clauses : 454
% 1.29/0.64 # Current number of unprocessed clauses: 2872
% 1.29/0.64 # ...number of literals in the above : 8780
% 1.29/0.64 # Current number of archived formulas : 0
% 1.29/0.64 # Current number of archived clauses : 336
% 1.29/0.64 # Clause-clause subsumption calls (NU) : 111926
% 1.29/0.64 # Rec. Clause-clause subsumption calls : 65646
% 1.29/0.64 # Non-unit clause-clause subsumptions : 1275
% 1.29/0.64 # Unit Clause-clause subsumption calls : 1301
% 1.29/0.64 # Rewrite failures with RHS unbound : 0
% 1.29/0.64 # BW rewrite match attempts : 702
% 1.29/0.64 # BW rewrite match successes : 19
% 1.29/0.64 # Condensation attempts : 0
% 1.29/0.64 # Condensation successes : 0
% 1.29/0.64 # Termbank termtop insertions : 88058
% 1.29/0.64 # Search garbage collected termcells : 1312
% 1.29/0.64
% 1.29/0.64 # -------------------------------------------------
% 1.29/0.64 # User time : 0.135 s
% 1.29/0.64 # System time : 0.010 s
% 1.29/0.64 # Total time : 0.145 s
% 1.29/0.64 # Maximum resident set size: 2048 pages
% 1.29/0.64
% 1.29/0.64 # -------------------------------------------------
% 1.29/0.64 # User time : 0.137 s
% 1.29/0.64 # System time : 0.013 s
% 1.29/0.64 # Total time : 0.150 s
% 1.29/0.64 # Maximum resident set size: 1776 pages
% 1.29/0.64 % E---3.1 exiting
%------------------------------------------------------------------------------