%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT374+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : Tue May 5 04:38:23 PM UTC 2026
% Result : Theorem 61.50s 36.05s
% Output : CNFRefutation 61.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 108 ( 14 unt; 0 def)
% Number of atoms : 715 ( 48 equ)
% Maximal formula atoms : 227 ( 6 avg)
% Number of connectives : 942 ( 335 ~; 422 |; 120 &)
% ( 13 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 3 con; 0-4 aty)
% Number of variables : 139 ( 0 sgn 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d11_altcat_2,axiom,
! [X1] :
( l2_altcat_1(X1)
=> ! [X2] :
( l2_altcat_1(X2)
=> ( m1_altcat_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_altcat_1(X2),u1_altcat_1(X1))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2)),k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),u2_altcat_1(X2),u2_altcat_1(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_altcat_2) ).
fof(dt_m1_altcat_2,axiom,
! [X1] :
( l2_altcat_1(X1)
=> ! [X2] :
( m1_altcat_2(X2,X1)
=> l2_altcat_1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_altcat_2) ).
fof(t49_waybel34,conjecture,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_waybel34) ).
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(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
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(dt_k5_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(dt_k9_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(t15_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_waybel34) ).
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(dt_l1_altcat_1,axiom,
! [X1] :
( l1_altcat_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_altcat_1) ).
fof(dt_l2_altcat_1,axiom,
! [X1] :
( l2_altcat_1(X1)
=> l1_altcat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(d11_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v6_altcat_1(X2)
& v3_altcat_2(X2,k5_waybel34(X1))
& m1_altcat_2(X2,k5_waybel34(X1)) )
=> ( X2 = k9_waybel34(X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> m1_subset_1(X3,u1_struct_0(X2)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4 )
=> ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_waybel34) ).
fof(c_0_15,plain,
! [X307,X308] :
( ( r1_tarski(u1_struct_0(X308),u1_struct_0(X307))
| ~ m1_altcat_2(X308,X307)
| ~ l2_altcat_1(X308)
| ~ l2_altcat_1(X307) )
& ( r2_altcat_2(k2_zfmisc_1(u1_struct_0(X308),u1_struct_0(X308)),k2_zfmisc_1(u1_struct_0(X307),u1_struct_0(X307)),u1_altcat_1(X308),u1_altcat_1(X307))
| ~ m1_altcat_2(X308,X307)
| ~ l2_altcat_1(X308)
| ~ l2_altcat_1(X307) )
& ( r2_altcat_2(k3_zfmisc_1(u1_struct_0(X308),u1_struct_0(X308),u1_struct_0(X308)),k3_zfmisc_1(u1_struct_0(X307),u1_struct_0(X307),u1_struct_0(X307)),u2_altcat_1(X308),u2_altcat_1(X307))
| ~ m1_altcat_2(X308,X307)
| ~ l2_altcat_1(X308)
| ~ l2_altcat_1(X307) )
& ( ~ r1_tarski(u1_struct_0(X308),u1_struct_0(X307))
| ~ r2_altcat_2(k2_zfmisc_1(u1_struct_0(X308),u1_struct_0(X308)),k2_zfmisc_1(u1_struct_0(X307),u1_struct_0(X307)),u1_altcat_1(X308),u1_altcat_1(X307))
| ~ r2_altcat_2(k3_zfmisc_1(u1_struct_0(X308),u1_struct_0(X308),u1_struct_0(X308)),k3_zfmisc_1(u1_struct_0(X307),u1_struct_0(X307),u1_struct_0(X307)),u2_altcat_1(X308),u2_altcat_1(X307))
| m1_altcat_2(X308,X307)
| ~ l2_altcat_1(X308)
| ~ l2_altcat_1(X307) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_altcat_2])])])]) ).
fof(c_0_16,plain,
! [X337,X338] :
( ~ l2_altcat_1(X337)
| ~ m1_altcat_2(X338,X337)
| l2_altcat_1(X338) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_altcat_2])])]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t49_waybel34])]) ).
fof(c_0_18,plain,
! [X443,X444] :
( ( ~ m1_subset_1(X443,k1_zfmisc_1(X444))
| r1_tarski(X443,X444) )
& ( ~ r1_tarski(X443,X444)
| m1_subset_1(X443,k1_zfmisc_1(X444)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_19,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( l2_altcat_1(X2)
| ~ l2_altcat_1(X1)
| ~ m1_altcat_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X439,X440] :
( ~ r2_hidden(X439,X440)
| m1_subset_1(X439,X440) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(c_0_22,negated_conjecture,
( ~ v2_setfam_1(esk1_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_lattice3(esk2_0)
& v2_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& ( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0)
| ~ v3_lattice3(esk2_0)
| ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) )
& ( v1_orders_2(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) )
& ( v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) )
& ( r2_hidden(u1_struct_0(esk2_0),esk1_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
fof(c_0_23,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
fof(c_0_24,plain,
! [X445,X446,X447] :
( ~ r2_hidden(X445,X446)
| ~ m1_subset_1(X446,k1_zfmisc_1(X447))
| m1_subset_1(X445,X447) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_25,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X2) ),
inference(csr,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_27,plain,
! [X441,X442] :
( ~ m1_subset_1(X441,X442)
| v1_xboole_0(X442)
| r2_hidden(X441,X442) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_28,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( r2_hidden(u1_struct_0(esk2_0),esk1_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_30,plain,
! [X289] :
( v2_setfam_1(X289)
| ~ v1_xboole_0(X289) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
fof(c_0_31,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_waybel34]) ).
cnf(c_0_32,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(u1_struct_0(esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_36,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_waybel34]) ).
cnf(c_0_37,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_38,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_39,plain,
! [X328] :
( ( ~ v3_struct_0(k5_waybel34(X328))
| v1_xboole_0(X328) )
& ( v2_altcat_1(k5_waybel34(X328))
| v1_xboole_0(X328) )
& ( v6_altcat_1(k5_waybel34(X328))
| v1_xboole_0(X328) )
& ( v11_altcat_1(k5_waybel34(X328))
| v1_xboole_0(X328) )
& ( v12_altcat_1(k5_waybel34(X328))
| v1_xboole_0(X328) )
& ( v2_yellow21(k5_waybel34(X328))
| v1_xboole_0(X328) )
& ( l2_altcat_1(k5_waybel34(X328))
| v1_xboole_0(X328) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_40,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t15_waybel34]) ).
cnf(c_0_41,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_altcat_2(X3,X2)
| ~ l2_altcat_1(X2)
| ~ r2_hidden(X1,u1_struct_0(X3)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| r2_hidden(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(u1_struct_0(esk2_0),esk1_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_43,plain,
! [X333] :
( ( ~ v3_struct_0(k9_waybel34(X333))
| v2_setfam_1(X333) )
& ( v2_altcat_1(k9_waybel34(X333))
| v2_setfam_1(X333) )
& ( v6_altcat_1(k9_waybel34(X333))
| v2_setfam_1(X333) )
& ( v3_altcat_2(k9_waybel34(X333),k5_waybel34(X333))
| v2_setfam_1(X333) )
& ( m1_altcat_2(k9_waybel34(X333),k5_waybel34(X333))
| v2_setfam_1(X333) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
cnf(c_0_44,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_46,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_47,negated_conjecture,
( v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_48,plain,
! [X437,X438] :
( ( v1_orders_2(X438)
| ~ m1_subset_1(X438,u1_struct_0(k5_waybel34(X437)))
| ~ v2_orders_2(X438)
| ~ v3_orders_2(X438)
| ~ v4_orders_2(X438)
| ~ v1_lattice3(X438)
| ~ v2_lattice3(X438)
| ~ l1_orders_2(X438)
| v2_setfam_1(X437) )
& ( v3_lattice3(X438)
| ~ m1_subset_1(X438,u1_struct_0(k5_waybel34(X437)))
| ~ v2_orders_2(X438)
| ~ v3_orders_2(X438)
| ~ v4_orders_2(X438)
| ~ v1_lattice3(X438)
| ~ v2_lattice3(X438)
| ~ l1_orders_2(X438)
| v2_setfam_1(X437) )
& ( r2_hidden(u1_struct_0(X438),X437)
| ~ m1_subset_1(X438,u1_struct_0(k5_waybel34(X437)))
| ~ v2_orders_2(X438)
| ~ v3_orders_2(X438)
| ~ v4_orders_2(X438)
| ~ v1_lattice3(X438)
| ~ v2_lattice3(X438)
| ~ l1_orders_2(X438)
| v2_setfam_1(X437) )
& ( ~ v1_orders_2(X438)
| ~ v3_lattice3(X438)
| ~ r2_hidden(u1_struct_0(X438),X437)
| m1_subset_1(X438,u1_struct_0(k5_waybel34(X437)))
| ~ v2_orders_2(X438)
| ~ v3_orders_2(X438)
| ~ v4_orders_2(X438)
| ~ v1_lattice3(X438)
| ~ v2_lattice3(X438)
| ~ l1_orders_2(X438)
| v2_setfam_1(X437) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).
cnf(c_0_49,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(u1_struct_0(esk2_0),esk1_0)
| m1_subset_1(esk2_0,u1_struct_0(X1))
| ~ m1_altcat_2(k9_waybel34(esk1_0),X1)
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
( m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
l2_altcat_1(k5_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_52,plain,
! [X379] :
( v3_struct_0(X379)
| ~ l1_struct_0(X379)
| ~ v1_xboole_0(u1_struct_0(X379)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
fof(c_0_53,plain,
! [X334] :
( ~ l1_altcat_1(X334)
| l1_struct_0(X334) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_altcat_1])]) ).
fof(c_0_54,plain,
! [X336] :
( ~ l2_altcat_1(X336)
| l1_altcat_1(X336) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])]) ).
cnf(c_0_55,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| r2_hidden(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| v3_lattice3(esk2_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_47]) ).
cnf(c_0_56,plain,
( r2_hidden(u1_struct_0(X1),X2)
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| m1_subset_1(u1_struct_0(esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]),c_0_37]) ).
cnf(c_0_58,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_59,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_60,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_61,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_62,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_63,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_64,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_66,plain,
( l1_struct_0(X1)
| ~ l1_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_67,plain,
( l1_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_68,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(X1))
| ~ m1_altcat_2(k9_waybel34(esk1_0),X1)
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_55]) ).
cnf(c_0_69,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(u1_struct_0(esk2_0),esk1_0) ),
inference(csr,[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_56,c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]),c_0_37]),c_0_28]) ).
cnf(c_0_70,plain,
( v2_setfam_1(X1)
| ~ l1_struct_0(k9_waybel34(X1))
| ~ v1_xboole_0(u1_struct_0(k9_waybel34(X1))) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
( l1_struct_0(X1)
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
( v3_lattice3(X1)
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_73,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_50]),c_0_51])]),c_0_37]) ).
cnf(c_0_74,plain,
( l2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_50]) ).
cnf(c_0_75,negated_conjecture,
( v1_orders_2(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_76,plain,
( m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| v2_setfam_1(X2)
| ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_77,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_69]),c_0_44]) ).
cnf(c_0_78,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(u1_struct_0(k9_waybel34(X1)))
| ~ l2_altcat_1(k9_waybel34(X1)) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| v3_lattice3(esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]),c_0_37]) ).
cnf(c_0_80,negated_conjecture,
l2_altcat_1(k9_waybel34(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_51]),c_0_37]) ).
fof(c_0_81,plain,
! [X1] :
( epred1_1(X1)
<=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v6_altcat_1(X2)
& v3_altcat_2(X2,k5_waybel34(X1))
& m1_altcat_2(X2,k5_waybel34(X1)) )
=> ( X2 = k9_waybel34(X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> m1_subset_1(X3,u1_struct_0(X2)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4 )
=> ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_82,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| r2_hidden(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| v1_orders_2(esk2_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_75]) ).
cnf(c_0_83,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| ~ v3_lattice3(esk2_0)
| ~ v1_orders_2(esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]),c_0_37]) ).
cnf(c_0_84,negated_conjecture,
v3_lattice3(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]),c_0_37]) ).
fof(c_0_85,plain,
! [X1] :
( epred1_1(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v6_altcat_1(X2)
& v3_altcat_2(X2,k5_waybel34(X1))
& m1_altcat_2(X2,k5_waybel34(X1)) )
=> ( X2 = k9_waybel34(X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> m1_subset_1(X3,u1_struct_0(X2)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4 )
=> ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| v1_orders_2(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(X1))
| ~ m1_altcat_2(k9_waybel34(esk1_0),X1)
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_82]) ).
cnf(c_0_87,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
fof(c_0_88,plain,
! [X456,X457,X458,X459,X460,X461,X462,X463] :
( ( ~ m1_subset_1(X458,u1_struct_0(k5_waybel34(X456)))
| m1_subset_1(X458,u1_struct_0(X457))
| X457 != k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( ~ r2_hidden(X463,k1_altcat_1(X457,X461,X462))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X456),X460),k3_yellow21(k5_waybel34(X456),X459),k5_yellow21(k5_waybel34(X456),X459,X460,X463)),k3_yellow21(k5_waybel34(X456),X460),k3_yellow21(k5_waybel34(X456),X459))
| ~ m1_subset_1(X463,k1_altcat_1(k5_waybel34(X456),X459,X460))
| k1_altcat_1(k5_waybel34(X456),X459,X460) = k1_xboole_0
| X461 != X459
| X462 != X460
| ~ m1_subset_1(X462,u1_struct_0(X457))
| ~ m1_subset_1(X461,u1_struct_0(X457))
| ~ m1_subset_1(X460,u1_struct_0(k5_waybel34(X456)))
| ~ m1_subset_1(X459,u1_struct_0(k5_waybel34(X456)))
| X457 != k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X456),X460),k3_yellow21(k5_waybel34(X456),X459),k5_yellow21(k5_waybel34(X456),X459,X460,X463)),k3_yellow21(k5_waybel34(X456),X460),k3_yellow21(k5_waybel34(X456),X459))
| r2_hidden(X463,k1_altcat_1(X457,X461,X462))
| ~ m1_subset_1(X463,k1_altcat_1(k5_waybel34(X456),X459,X460))
| k1_altcat_1(k5_waybel34(X456),X459,X460) = k1_xboole_0
| X461 != X459
| X462 != X460
| ~ m1_subset_1(X462,u1_struct_0(X457))
| ~ m1_subset_1(X461,u1_struct_0(X457))
| ~ m1_subset_1(X460,u1_struct_0(k5_waybel34(X456)))
| ~ m1_subset_1(X459,u1_struct_0(k5_waybel34(X456)))
| X457 != k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( m1_subset_1(esk32_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| m1_subset_1(esk31_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( m1_subset_1(esk33_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| m1_subset_1(esk31_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( m1_subset_1(esk34_2(X456,X457),u1_struct_0(X457))
| m1_subset_1(esk31_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( m1_subset_1(esk35_2(X456,X457),u1_struct_0(X457))
| m1_subset_1(esk31_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( esk34_2(X456,X457) = esk32_2(X456,X457)
| m1_subset_1(esk31_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( esk35_2(X456,X457) = esk33_2(X456,X457)
| m1_subset_1(esk31_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( k1_altcat_1(k5_waybel34(X456),esk32_2(X456,X457),esk33_2(X456,X457)) != k1_xboole_0
| m1_subset_1(esk31_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( m1_subset_1(esk36_2(X456,X457),k1_altcat_1(k5_waybel34(X456),esk32_2(X456,X457),esk33_2(X456,X457)))
| m1_subset_1(esk31_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( ~ r2_hidden(esk36_2(X456,X457),k1_altcat_1(X457,esk34_2(X456,X457),esk35_2(X456,X457)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X456),esk33_2(X456,X457)),k3_yellow21(k5_waybel34(X456),esk32_2(X456,X457)),k5_yellow21(k5_waybel34(X456),esk32_2(X456,X457),esk33_2(X456,X457),esk36_2(X456,X457))),k3_yellow21(k5_waybel34(X456),esk33_2(X456,X457)),k3_yellow21(k5_waybel34(X456),esk32_2(X456,X457)))
| m1_subset_1(esk31_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( r2_hidden(esk36_2(X456,X457),k1_altcat_1(X457,esk34_2(X456,X457),esk35_2(X456,X457)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X456),esk33_2(X456,X457)),k3_yellow21(k5_waybel34(X456),esk32_2(X456,X457)),k5_yellow21(k5_waybel34(X456),esk32_2(X456,X457),esk33_2(X456,X457),esk36_2(X456,X457))),k3_yellow21(k5_waybel34(X456),esk33_2(X456,X457)),k3_yellow21(k5_waybel34(X456),esk32_2(X456,X457)))
| m1_subset_1(esk31_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( m1_subset_1(esk32_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| ~ m1_subset_1(esk31_2(X456,X457),u1_struct_0(X457))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( m1_subset_1(esk33_2(X456,X457),u1_struct_0(k5_waybel34(X456)))
| ~ m1_subset_1(esk31_2(X456,X457),u1_struct_0(X457))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( m1_subset_1(esk34_2(X456,X457),u1_struct_0(X457))
| ~ m1_subset_1(esk31_2(X456,X457),u1_struct_0(X457))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( m1_subset_1(esk35_2(X456,X457),u1_struct_0(X457))
| ~ m1_subset_1(esk31_2(X456,X457),u1_struct_0(X457))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( esk34_2(X456,X457) = esk32_2(X456,X457)
| ~ m1_subset_1(esk31_2(X456,X457),u1_struct_0(X457))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( esk35_2(X456,X457) = esk33_2(X456,X457)
| ~ m1_subset_1(esk31_2(X456,X457),u1_struct_0(X457))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( k1_altcat_1(k5_waybel34(X456),esk32_2(X456,X457),esk33_2(X456,X457)) != k1_xboole_0
| ~ m1_subset_1(esk31_2(X456,X457),u1_struct_0(X457))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( m1_subset_1(esk36_2(X456,X457),k1_altcat_1(k5_waybel34(X456),esk32_2(X456,X457),esk33_2(X456,X457)))
| ~ m1_subset_1(esk31_2(X456,X457),u1_struct_0(X457))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( ~ r2_hidden(esk36_2(X456,X457),k1_altcat_1(X457,esk34_2(X456,X457),esk35_2(X456,X457)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X456),esk33_2(X456,X457)),k3_yellow21(k5_waybel34(X456),esk32_2(X456,X457)),k5_yellow21(k5_waybel34(X456),esk32_2(X456,X457),esk33_2(X456,X457),esk36_2(X456,X457))),k3_yellow21(k5_waybel34(X456),esk33_2(X456,X457)),k3_yellow21(k5_waybel34(X456),esk32_2(X456,X457)))
| ~ m1_subset_1(esk31_2(X456,X457),u1_struct_0(X457))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) )
& ( r2_hidden(esk36_2(X456,X457),k1_altcat_1(X457,esk34_2(X456,X457),esk35_2(X456,X457)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X456),esk33_2(X456,X457)),k3_yellow21(k5_waybel34(X456),esk32_2(X456,X457)),k5_yellow21(k5_waybel34(X456),esk32_2(X456,X457),esk33_2(X456,X457),esk36_2(X456,X457))),k3_yellow21(k5_waybel34(X456),esk33_2(X456,X457)),k3_yellow21(k5_waybel34(X456),esk32_2(X456,X457)))
| ~ m1_subset_1(esk31_2(X456,X457),u1_struct_0(X457))
| X457 = k9_waybel34(X456)
| v3_struct_0(X457)
| ~ v2_altcat_1(X457)
| ~ v6_altcat_1(X457)
| ~ v3_altcat_2(X457,k5_waybel34(X456))
| ~ m1_altcat_2(X457,k5_waybel34(X456))
| ~ epred1_1(X456) ) ),
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_85])])])])]) ).
fof(c_0_89,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d11_waybel34]),c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0)
| ~ v3_lattice3(esk2_0)
| ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_91,plain,
( v1_orders_2(X1)
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_92,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_50]),c_0_51])]),c_0_37]),c_0_87]) ).
cnf(c_0_93,plain,
( m1_subset_1(X1,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| X3 != k9_waybel34(X2)
| ~ v2_altcat_1(X3)
| ~ v6_altcat_1(X3)
| ~ v3_altcat_2(X3,k5_waybel34(X2))
| ~ m1_altcat_2(X3,k5_waybel34(X2))
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_94,plain,
! [X309] :
( v2_setfam_1(X309)
| epred1_1(X309) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])]) ).
cnf(c_0_95,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| ~ v3_lattice3(esk2_0)
| ~ v1_orders_2(esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(spm,[status(thm)],[c_0_90,c_0_77]) ).
cnf(c_0_96,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| v1_orders_2(esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_62]),c_0_63])]),c_0_37]) ).
cnf(c_0_97,plain,
( v3_struct_0(k9_waybel34(X1))
| m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
| ~ epred1_1(X1)
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v6_altcat_1(k9_waybel34(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
inference(er,[status(thm)],[c_0_93]) ).
cnf(c_0_98,plain,
( v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_99,plain,
( v6_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_100,plain,
( v2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_101,plain,
( v2_setfam_1(X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_102,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_84])]) ).
cnf(c_0_103,negated_conjecture,
v1_orders_2(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_96]),c_0_80])]),c_0_37]) ).
cnf(c_0_104,plain,
( m1_subset_1(X1,u1_struct_0(k9_waybel34(X2)))
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]),c_0_100]),c_0_50]),c_0_101]),c_0_64]) ).
cnf(c_0_105,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).
cnf(c_0_106,plain,
v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0))),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_92]),c_0_37]),c_0_105]) ).
cnf(c_0_107,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_106]),c_0_80])]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT374+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.34 % Computer : n023.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 21:45:23 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 61.50/36.05 % Version : CSE_E---1.7
% 61.50/36.05 % Problem : theBenchmark.p
% 61.50/36.05 % SZS status Theorem for theBenchmark.p
% 61.50/36.05 % SZS output start CNFRefutation
% See solution above
% 61.77/36.30 % Total time : 26.493s
%------------------------------------------------------------------------------