%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT379+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 5 04:38:24 PM UTC 2026
% Result : Theorem 10.59s 7.01s
% Output : CNFRefutation 10.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 119 ( 25 unt; 0 def)
% Number of atoms : 509 ( 32 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 609 ( 219 ~; 236 |; 103 &)
% ( 6 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 172 ( 6 sgn 105 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(fc1_waybel11,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_xboole_0(k1_pre_topc(X1))
& v1_finset_1(k1_pre_topc(X1))
& v5_orders_2(k1_pre_topc(X1),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))
& v1_waybel_0(k1_pre_topc(X1),X1)
& v2_waybel_0(k1_pre_topc(X1),X1)
& v12_waybel_0(k1_pre_topc(X1),X1)
& v13_waybel_0(k1_pre_topc(X1),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel11) ).
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/sandbox/benchmark/theBenchmark.p',t65_waybel34) ).
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/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
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/sandbox/benchmark/theBenchmark.p',d16_waybel34) ).
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/sandbox/benchmark/theBenchmark.p',d15_waybel34) ).
fof(d2_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> k1_pre_topc(X1) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_pre_topc) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
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/sandbox/benchmark/theBenchmark.p',d35_waybel_0) ).
fof(existence_l1_orders_2,axiom,
? [X1] : l1_orders_2(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_orders_2) ).
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/sandbox/benchmark/theBenchmark.p',dt_k1_pre_topc) ).
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/sandbox/benchmark/theBenchmark.p',dt_k2_struct_0) ).
fof(commutativity_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_struct_0(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_struct_0) ).
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/sandbox/benchmark/theBenchmark.p',redefinition_k2_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/sandbox/benchmark/theBenchmark.p',fc2_finset_1) ).
fof(c_0_20,plain,
! [X280,X281,X282] :
( ~ r2_hidden(X280,X281)
| ~ m1_subset_1(X281,k1_zfmisc_1(X282))
| ~ v1_xboole_0(X282) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(c_0_21,plain,
! [X220] : m1_subset_1(esk10_1(X220),X220),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_22,plain,
! [X273,X274] :
( ~ m1_subset_1(X273,X274)
| v1_xboole_0(X274)
| r2_hidden(X273,X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_23,plain,
! [X286,X287] :
( ~ v1_xboole_0(X286)
| X286 = X287
| ~ v1_xboole_0(X287) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_24,plain,
! [X239] :
( ( v1_xboole_0(k1_pre_topc(X239))
| ~ l1_orders_2(X239) )
& ( v1_finset_1(k1_pre_topc(X239))
| ~ l1_orders_2(X239) )
& ( v5_orders_2(k1_pre_topc(X239),X239)
| ~ l1_orders_2(X239) )
& ( v1_membered(k1_pre_topc(X239))
| ~ l1_orders_2(X239) )
& ( v2_membered(k1_pre_topc(X239))
| ~ l1_orders_2(X239) )
& ( v3_membered(k1_pre_topc(X239))
| ~ l1_orders_2(X239) )
& ( v4_membered(k1_pre_topc(X239))
| ~ l1_orders_2(X239) )
& ( v5_membered(k1_pre_topc(X239))
| ~ l1_orders_2(X239) )
& ( v1_waybel_0(k1_pre_topc(X239),X239)
| ~ l1_orders_2(X239) )
& ( v2_waybel_0(k1_pre_topc(X239),X239)
| ~ l1_orders_2(X239) )
& ( v12_waybel_0(k1_pre_topc(X239),X239)
| ~ l1_orders_2(X239) )
& ( v13_waybel_0(k1_pre_topc(X239),X239)
| ~ l1_orders_2(X239) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_waybel11])])]) ).
cnf(c_0_25,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
m1_subset_1(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( v1_xboole_0(k1_pre_topc(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,esk10_1(k1_zfmisc_1(X1))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( v1_xboole_0(X1)
| r2_hidden(esk10_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_32,plain,
( X1 = k1_pre_topc(X2)
| ~ v1_xboole_0(X1)
| ~ l1_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( v1_xboole_0(esk10_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
( esk10_1(k1_zfmisc_1(X1)) = k1_pre_topc(X2)
| ~ v1_xboole_0(X1)
| ~ l1_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_35,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])]) ).
cnf(c_0_36,plain,
( v1_xboole_0(k1_zfmisc_1(X1))
| r2_hidden(k1_pre_topc(X2),k1_zfmisc_1(X1))
| ~ v1_xboole_0(X1)
| ~ l1_orders_2(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
cnf(c_0_37,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc6_membered]) ).
fof(c_0_38,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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_39,plain,
! [X271,X272] :
( ~ r2_hidden(X271,X272)
| m1_subset_1(X271,X272) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_40,plain,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| r2_hidden(k1_pre_topc(X1),k1_zfmisc_1(k1_xboole_0))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| r2_hidden(k1_pre_topc(esk1_0),k1_zfmisc_1(k1_xboole_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,negated_conjecture,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| m1_subset_1(k1_pre_topc(esk1_0),k1_zfmisc_1(k1_xboole_0)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_45,plain,
! [X283] :
( ~ v1_xboole_0(X283)
| X283 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
cnf(c_0_46,negated_conjecture,
( v1_xboole_0(k1_zfmisc_1(k1_xboole_0))
| ~ r2_hidden(X1,k1_pre_topc(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_44]),c_0_37])]) ).
fof(c_0_47,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_48,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_49,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( v1_xboole_0(k1_pre_topc(esk1_0))
| v1_xboole_0(k1_zfmisc_1(k1_xboole_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_31]) ).
fof(c_0_51,plain,
! [X196,X197,X198] :
( ( ~ v5_waybel34(X198,X196,X197)
| r4_waybel_0(X196,X197,X198,k1_pre_topc(X196))
| ~ v1_funct_1(X198)
| ~ v1_funct_2(X198,u1_struct_0(X196),u1_struct_0(X197))
| ~ m2_relset_1(X198,u1_struct_0(X196),u1_struct_0(X197))
| v3_struct_0(X197)
| ~ l1_orders_2(X197)
| v3_struct_0(X196)
| ~ l1_orders_2(X196) )
& ( ~ r4_waybel_0(X196,X197,X198,k1_pre_topc(X196))
| v5_waybel34(X198,X196,X197)
| ~ v1_funct_1(X198)
| ~ v1_funct_2(X198,u1_struct_0(X196),u1_struct_0(X197))
| ~ m2_relset_1(X198,u1_struct_0(X196),u1_struct_0(X197))
| v3_struct_0(X197)
| ~ l1_orders_2(X197)
| v3_struct_0(X196)
| ~ l1_orders_2(X196) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])]) ).
fof(c_0_52,plain,
! [X191,X192,X193,X194] :
( ( ~ v4_waybel34(X193,X191,X192)
| ~ v1_finset_1(X194)
| ~ m1_subset_1(X194,k1_zfmisc_1(u1_struct_0(X191)))
| r4_waybel_0(X191,X192,X193,X194)
| ~ v1_funct_1(X193)
| ~ v1_funct_2(X193,u1_struct_0(X191),u1_struct_0(X192))
| ~ m2_relset_1(X193,u1_struct_0(X191),u1_struct_0(X192))
| v3_struct_0(X192)
| ~ l1_orders_2(X192)
| v3_struct_0(X191)
| ~ l1_orders_2(X191) )
& ( v1_finset_1(esk4_3(X191,X192,X193))
| v4_waybel34(X193,X191,X192)
| ~ v1_funct_1(X193)
| ~ v1_funct_2(X193,u1_struct_0(X191),u1_struct_0(X192))
| ~ m2_relset_1(X193,u1_struct_0(X191),u1_struct_0(X192))
| v3_struct_0(X192)
| ~ l1_orders_2(X192)
| v3_struct_0(X191)
| ~ l1_orders_2(X191) )
& ( m1_subset_1(esk4_3(X191,X192,X193),k1_zfmisc_1(u1_struct_0(X191)))
| v4_waybel34(X193,X191,X192)
| ~ v1_funct_1(X193)
| ~ v1_funct_2(X193,u1_struct_0(X191),u1_struct_0(X192))
| ~ m2_relset_1(X193,u1_struct_0(X191),u1_struct_0(X192))
| v3_struct_0(X192)
| ~ l1_orders_2(X192)
| v3_struct_0(X191)
| ~ l1_orders_2(X191) )
& ( ~ r4_waybel_0(X191,X192,X193,esk4_3(X191,X192,X193))
| v4_waybel34(X193,X191,X192)
| ~ v1_funct_1(X193)
| ~ v1_funct_2(X193,u1_struct_0(X191),u1_struct_0(X192))
| ~ m2_relset_1(X193,u1_struct_0(X191),u1_struct_0(X192))
| v3_struct_0(X192)
| ~ l1_orders_2(X192)
| v3_struct_0(X191)
| ~ l1_orders_2(X191) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])])]) ).
fof(c_0_53,plain,
! [X199] :
( ~ l1_struct_0(X199)
| k1_pre_topc(X199) = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_pre_topc])]) ).
fof(c_0_54,plain,
! [X211] :
( ~ l1_orders_2(X211)
| l1_struct_0(X211) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_55,negated_conjecture,
( k1_pre_topc(esk1_0) = k1_xboole_0
| v1_xboole_0(k1_zfmisc_1(k1_xboole_0)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,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_51]) ).
cnf(c_0_57,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_58,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_59,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_60,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_61,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_62,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_63,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_52]) ).
cnf(c_0_64,negated_conjecture,
v4_waybel34(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_65,plain,
( k1_pre_topc(X1) = k1_xboole_0
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_66,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_67,negated_conjecture,
( k1_pre_topc(X1) = k1_zfmisc_1(k1_xboole_0)
| k1_pre_topc(esk1_0) = k1_xboole_0
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_55]) ).
fof(c_0_68,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_69,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_56,c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_41])]),c_0_61]),c_0_62]) ).
cnf(c_0_70,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_63,c_0_57]),c_0_64]),c_0_58]),c_0_59]),c_0_60]),c_0_41])]),c_0_61]),c_0_62]) ).
cnf(c_0_71,plain,
( v1_finset_1(k1_pre_topc(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_72,plain,
( k1_pre_topc(X1) = k1_xboole_0
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_73,plain,
l1_orders_2(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_orders_2])]) ).
fof(c_0_74,plain,
! [X207] :
( ~ l1_struct_0(X207)
| m1_subset_1(k1_pre_topc(X207),k1_zfmisc_1(u1_struct_0(X207))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_pre_topc])]) ).
cnf(c_0_75,negated_conjecture,
( k1_pre_topc(esk1_0) = k1_zfmisc_1(k1_xboole_0)
| k1_pre_topc(esk1_0) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_67,c_0_41]) ).
cnf(c_0_76,negated_conjecture,
( k1_pre_topc(esk1_0) = k1_xboole_0
| k1_zfmisc_1(k1_xboole_0) = k1_xboole_0 ),
inference(spm,[status(thm)],[c_0_49,c_0_55]) ).
fof(c_0_77,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]) ).
fof(c_0_78,plain,
! [X200,X201,X202,X203,X204] :
( ( ~ v20_waybel_0(X202,X200,X201)
| ~ m1_subset_1(X203,u1_struct_0(X200))
| ~ m1_subset_1(X204,u1_struct_0(X200))
| r4_waybel_0(X200,X201,X202,k2_struct_0(X200,X203,X204))
| ~ v1_funct_1(X202)
| ~ v1_funct_2(X202,u1_struct_0(X200),u1_struct_0(X201))
| ~ m2_relset_1(X202,u1_struct_0(X200),u1_struct_0(X201))
| v3_struct_0(X201)
| ~ l1_orders_2(X201)
| v3_struct_0(X200)
| ~ l1_orders_2(X200) )
& ( m1_subset_1(esk5_3(X200,X201,X202),u1_struct_0(X200))
| v20_waybel_0(X202,X200,X201)
| ~ v1_funct_1(X202)
| ~ v1_funct_2(X202,u1_struct_0(X200),u1_struct_0(X201))
| ~ m2_relset_1(X202,u1_struct_0(X200),u1_struct_0(X201))
| v3_struct_0(X201)
| ~ l1_orders_2(X201)
| v3_struct_0(X200)
| ~ l1_orders_2(X200) )
& ( m1_subset_1(esk6_3(X200,X201,X202),u1_struct_0(X200))
| v20_waybel_0(X202,X200,X201)
| ~ v1_funct_1(X202)
| ~ v1_funct_2(X202,u1_struct_0(X200),u1_struct_0(X201))
| ~ m2_relset_1(X202,u1_struct_0(X200),u1_struct_0(X201))
| v3_struct_0(X201)
| ~ l1_orders_2(X201)
| v3_struct_0(X200)
| ~ l1_orders_2(X200) )
& ( ~ r4_waybel_0(X200,X201,X202,k2_struct_0(X200,esk5_3(X200,X201,X202),esk6_3(X200,X201,X202)))
| v20_waybel_0(X202,X200,X201)
| ~ v1_funct_1(X202)
| ~ v1_funct_2(X202,u1_struct_0(X200),u1_struct_0(X201))
| ~ m2_relset_1(X202,u1_struct_0(X200),u1_struct_0(X201))
| v3_struct_0(X201)
| ~ l1_orders_2(X201)
| v3_struct_0(X200)
| ~ l1_orders_2(X200) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])])]) ).
cnf(c_0_79,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_38]) ).
cnf(c_0_80,negated_conjecture,
( v5_waybel34(esk3_0,esk1_0,esk2_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_69,c_0_70]) ).
cnf(c_0_81,plain,
( v1_finset_1(k1_xboole_0)
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_82,plain,
l1_orders_2(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_83,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_74]) ).
cnf(c_0_84,negated_conjecture,
k1_pre_topc(esk1_0) = k1_xboole_0,
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_75]),c_0_76]) ).
fof(c_0_85,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_struct_0(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[commutativity_k2_struct_0]) ).
fof(c_0_86,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]) ).
fof(c_0_87,plain,
! [X208,X209,X210] :
( v3_struct_0(X208)
| ~ l1_struct_0(X208)
| ~ m1_subset_1(X209,u1_struct_0(X208))
| ~ m1_subset_1(X210,u1_struct_0(X208))
| m1_subset_1(k2_struct_0(X208,X209,X210),k1_zfmisc_1(u1_struct_0(X208))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])]) ).
cnf(c_0_88,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_78]) ).
cnf(c_0_89,negated_conjecture,
( ~ v1_finset_1(k1_pre_topc(esk1_0))
| ~ m1_subset_1(k1_pre_topc(esk1_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v20_waybel_0(esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,plain,
v1_finset_1(k1_xboole_0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_91,negated_conjecture,
( m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
fof(c_0_92,plain,
! [X186,X187,X188] :
( v3_struct_0(X186)
| ~ l1_struct_0(X186)
| ~ m1_subset_1(X187,u1_struct_0(X186))
| ~ m1_subset_1(X188,u1_struct_0(X186))
| k2_struct_0(X186,X187,X188) = k2_struct_0(X186,X188,X187) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])]) ).
cnf(c_0_93,plain,
( m1_subset_1(esk6_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_78]) ).
fof(c_0_94,plain,
! [X264,X265,X266] :
( v3_struct_0(X264)
| ~ l1_struct_0(X264)
| ~ m1_subset_1(X265,u1_struct_0(X264))
| ~ m1_subset_1(X266,u1_struct_0(X264))
| k2_struct_0(X264,X265,X266) = k2_tarski(X265,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])]) ).
cnf(c_0_95,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_87]) ).
cnf(c_0_96,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_88,c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_41])]),c_0_61]),c_0_62]) ).
cnf(c_0_97,negated_conjecture,
( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v20_waybel_0(esk3_0,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_84]),c_0_90]),c_0_84])]) ).
cnf(c_0_98,negated_conjecture,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_66]),c_0_41])]) ).
cnf(c_0_99,plain,
( v3_struct_0(X1)
| k2_struct_0(X1,X2,X3) = k2_struct_0(X1,X3,X2)
| ~ 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_92]) ).
cnf(c_0_100,negated_conjecture,
( m1_subset_1(esk6_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_93,c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_41])]),c_0_61]),c_0_62]) ).
cnf(c_0_101,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_94]) ).
fof(c_0_102,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]) ).
cnf(c_0_103,negated_conjecture,
( m1_subset_1(k2_struct_0(esk1_0,X1,esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v20_waybel_0(esk3_0,esk1_0,esk2_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_95,c_0_96]),c_0_62]) ).
cnf(c_0_104,negated_conjecture,
~ v20_waybel_0(esk3_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).
cnf(c_0_105,negated_conjecture,
( k2_struct_0(esk1_0,X1,esk6_3(esk1_0,esk2_0,esk3_0)) = k2_struct_0(esk1_0,esk6_3(esk1_0,esk2_0,esk3_0),X1)
| v20_waybel_0(esk3_0,esk1_0,esk2_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_99,c_0_100]),c_0_62]) ).
cnf(c_0_106,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,esk5_3(X1,X2,X3),esk6_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_78]) ).
cnf(c_0_107,negated_conjecture,
( k2_struct_0(esk1_0,X1,esk6_3(esk1_0,esk2_0,esk3_0)) = k2_tarski(X1,esk6_3(esk1_0,esk2_0,esk3_0))
| v20_waybel_0(esk3_0,esk1_0,esk2_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_101,c_0_100]),c_0_62]) ).
fof(c_0_108,plain,
! [X241,X242] :
( ~ v1_xboole_0(k2_tarski(X241,X242))
& v1_finset_1(k2_tarski(X241,X242)) ),
inference(variable_rename,[status(thm)],[c_0_102]) ).
cnf(c_0_109,negated_conjecture,
( m1_subset_1(k2_struct_0(esk1_0,X1,esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_66]),c_0_41])]),c_0_104]) ).
cnf(c_0_110,negated_conjecture,
( k2_struct_0(esk1_0,X1,esk6_3(esk1_0,esk2_0,esk3_0)) = k2_struct_0(esk1_0,esk6_3(esk1_0,esk2_0,esk3_0),X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_66]),c_0_41])]),c_0_104]) ).
cnf(c_0_111,negated_conjecture,
m1_subset_1(esk6_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[c_0_100,c_0_104]) ).
cnf(c_0_112,negated_conjecture,
m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[c_0_96,c_0_104]) ).
cnf(c_0_113,negated_conjecture,
( ~ v1_finset_1(k2_struct_0(esk1_0,esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)))
| ~ m1_subset_1(k2_struct_0(esk1_0,esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[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_106,c_0_70]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_41])]),c_0_61]),c_0_62]),c_0_104]) ).
cnf(c_0_114,negated_conjecture,
( k2_struct_0(esk1_0,X1,esk6_3(esk1_0,esk2_0,esk3_0)) = k2_tarski(X1,esk6_3(esk1_0,esk2_0,esk3_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_66]),c_0_41])]),c_0_104]) ).
cnf(c_0_115,plain,
v1_finset_1(k2_tarski(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_116,negated_conjecture,
m1_subset_1(k2_struct_0(esk1_0,esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_112])]) ).
cnf(c_0_117,negated_conjecture,
~ m1_subset_1(k2_tarski(esk5_3(esk1_0,esk2_0,esk3_0),esk6_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]),c_0_112])]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_114]),c_0_112])]),c_0_117]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT379+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n014.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 21:47:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 10.59/7.01 % Version : CSE_E---1.7
% 10.59/7.01 % Problem : theBenchmark.p
% 10.59/7.01 % SZS status Theorem for theBenchmark.p
% 10.59/7.01 % SZS output start CNFRefutation
% See solution above
% 10.71/7.04 % Total time : 5.375s
%------------------------------------------------------------------------------