%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT378+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 : n007.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 79.74s 43.88s
% Output : CNFRefutation 79.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 21 unt; 0 def)
% Number of atoms : 561 ( 7 equ)
% Maximal formula atoms : 38 ( 6 avg)
% Number of connectives : 780 ( 307 ~; 322 |; 102 &)
% ( 3 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-5 aty)
% Number of variables : 235 ( 8 sgn 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t62_waybel34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( r4_waybel_0(X1,X2,X5,X4)
& r4_waybel_0(X2,X3,X6,k4_pre_topc(X1,X2,X5,X4)) )
=> r4_waybel_0(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X5,X6),X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t62_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(dt_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(redefinition_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( l1_struct_0(X1)
& l1_struct_0(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_pre_topc) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
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(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(dt_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> ( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(redefinition_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_funct_2) ).
fof(t63_waybel34,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( v4_waybel34(X4,X1,X2)
& v4_waybel34(X5,X2,X3) )
=> v4_waybel34(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_waybel34) ).
fof(fc13_finset_1,axiom,
! [X1,X2] :
( ( v1_relat_1(X1)
& v1_funct_1(X1)
& v1_finset_1(X2) )
=> v1_finset_1(k9_relat_1(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( r4_waybel_0(X1,X2,X5,X4)
& r4_waybel_0(X2,X3,X6,k4_pre_topc(X1,X2,X5,X4)) )
=> r4_waybel_0(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X5,X6),X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t62_waybel34]) ).
fof(c_0_14,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]) ).
fof(c_0_15,plain,
! [X254,X255,X256,X257,X258,X259] :
( v3_struct_0(X254)
| ~ l1_orders_2(X254)
| v3_struct_0(X255)
| ~ l1_orders_2(X255)
| v3_struct_0(X256)
| ~ l1_orders_2(X256)
| ~ m1_subset_1(X257,k1_zfmisc_1(u1_struct_0(X254)))
| ~ v1_funct_1(X258)
| ~ v1_funct_2(X258,u1_struct_0(X254),u1_struct_0(X255))
| ~ m2_relset_1(X258,u1_struct_0(X254),u1_struct_0(X255))
| ~ v1_funct_1(X259)
| ~ v1_funct_2(X259,u1_struct_0(X255),u1_struct_0(X256))
| ~ m2_relset_1(X259,u1_struct_0(X255),u1_struct_0(X256))
| ~ r4_waybel_0(X254,X255,X258,X257)
| ~ r4_waybel_0(X255,X256,X259,k4_pre_topc(X254,X255,X258,X257))
| r4_waybel_0(X254,X256,k7_funct_2(u1_struct_0(X254),u1_struct_0(X255),u1_struct_0(X256),X258,X259),X257) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_16,plain,
! [X176,X177,X178,X179] :
( ( ~ v4_waybel34(X178,X176,X177)
| ~ v1_finset_1(X179)
| ~ m1_subset_1(X179,k1_zfmisc_1(u1_struct_0(X176)))
| r4_waybel_0(X176,X177,X178,X179)
| ~ v1_funct_1(X178)
| ~ v1_funct_2(X178,u1_struct_0(X176),u1_struct_0(X177))
| ~ m2_relset_1(X178,u1_struct_0(X176),u1_struct_0(X177))
| v3_struct_0(X177)
| ~ l1_orders_2(X177)
| v3_struct_0(X176)
| ~ l1_orders_2(X176) )
& ( v1_finset_1(esk6_3(X176,X177,X178))
| v4_waybel34(X178,X176,X177)
| ~ v1_funct_1(X178)
| ~ v1_funct_2(X178,u1_struct_0(X176),u1_struct_0(X177))
| ~ m2_relset_1(X178,u1_struct_0(X176),u1_struct_0(X177))
| v3_struct_0(X177)
| ~ l1_orders_2(X177)
| v3_struct_0(X176)
| ~ l1_orders_2(X176) )
& ( m1_subset_1(esk6_3(X176,X177,X178),k1_zfmisc_1(u1_struct_0(X176)))
| v4_waybel34(X178,X176,X177)
| ~ v1_funct_1(X178)
| ~ v1_funct_2(X178,u1_struct_0(X176),u1_struct_0(X177))
| ~ m2_relset_1(X178,u1_struct_0(X176),u1_struct_0(X177))
| v3_struct_0(X177)
| ~ l1_orders_2(X177)
| v3_struct_0(X176)
| ~ l1_orders_2(X176) )
& ( ~ r4_waybel_0(X176,X177,X178,esk6_3(X176,X177,X178))
| v4_waybel34(X178,X176,X177)
| ~ v1_funct_1(X178)
| ~ v1_funct_2(X178,u1_struct_0(X176),u1_struct_0(X177))
| ~ m2_relset_1(X178,u1_struct_0(X176),u1_struct_0(X177))
| v3_struct_0(X177)
| ~ l1_orders_2(X177)
| v3_struct_0(X176)
| ~ l1_orders_2(X176) ) ),
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_14])])])])]) ).
fof(c_0_17,plain,
! [X181,X182,X183,X184] :
( ~ l1_struct_0(X181)
| ~ l1_struct_0(X182)
| ~ v1_funct_1(X183)
| ~ v1_funct_2(X183,u1_struct_0(X181),u1_struct_0(X182))
| ~ m1_relset_1(X183,u1_struct_0(X181),u1_struct_0(X182))
| m1_subset_1(k4_pre_topc(X181,X182,X183,X184),k1_zfmisc_1(u1_struct_0(X182))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])]) ).
fof(c_0_18,plain,
! [X229,X230,X231,X232] :
( ~ l1_struct_0(X229)
| ~ l1_struct_0(X230)
| ~ v1_funct_1(X231)
| ~ v1_funct_2(X231,u1_struct_0(X229),u1_struct_0(X230))
| ~ m1_relset_1(X231,u1_struct_0(X229),u1_struct_0(X230))
| k4_pre_topc(X229,X230,X231,X232) = k9_relat_1(X231,X232) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_pre_topc])]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| r4_waybel_0(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X5,X6),X4)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X3))
| ~ r4_waybel_0(X1,X2,X5,X4)
| ~ r4_waybel_0(X2,X3,X6,k4_pre_topc(X1,X2,X5,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,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_16]) ).
fof(c_0_21,plain,
! [X238,X239,X240] :
( ( ~ m2_relset_1(X240,X238,X239)
| m1_relset_1(X240,X238,X239) )
& ( ~ m1_relset_1(X240,X238,X239)
| m2_relset_1(X240,X238,X239) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_22,plain,
( m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4)
| ~ l1_struct_0(X1)
| ~ l1_struct_0(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X192] :
( ~ l1_orders_2(X192)
| l1_struct_0(X192) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(c_0_25,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_26,plain,
( r4_waybel_0(X1,X2,k7_funct_2(u1_struct_0(X1),u1_struct_0(X3),u1_struct_0(X2),X4,X5),X6)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| ~ r4_waybel_0(X1,X3,X4,X6)
| ~ v1_finset_1(k4_pre_topc(X1,X3,X4,X6))
| ~ m1_subset_1(k4_pre_topc(X1,X3,X4,X6),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_waybel34(X5,X3,X2)
| ~ m2_relset_1(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_2(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_relset_1(X1,u1_struct_0(X4),u1_struct_0(X3))
| ~ l1_struct_0(X3)
| ~ l1_struct_0(X4)
| ~ v1_funct_2(X1,u1_struct_0(X4),u1_struct_0(X3))
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
! [X165,X166,X167] :
( ~ m1_subset_1(X167,k1_zfmisc_1(k2_zfmisc_1(X165,X166)))
| v1_relat_1(X167) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_31,plain,
! [X193,X194,X195] :
( ~ m2_relset_1(X195,X193,X194)
| m1_subset_1(X195,k1_zfmisc_1(k2_zfmisc_1(X193,X194))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_32,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> ( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_funct_2]) ).
fof(c_0_33,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> k7_funct_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(fof_simplification,[status(thm)],[redefinition_k7_funct_2]) ).
fof(c_0_34,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( v4_waybel34(X4,X1,X2)
& v4_waybel34(X5,X2,X3) )
=> v4_waybel34(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t63_waybel34])]) ).
fof(c_0_35,plain,
! [X212] :
( v3_struct_0(X212)
| ~ l1_struct_0(X212)
| ~ v1_xboole_0(u1_struct_0(X212)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).
cnf(c_0_36,plain,
( v4_waybel34(X3,X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ r4_waybel_0(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_16]) ).
cnf(c_0_37,plain,
( r4_waybel_0(X1,X2,k7_funct_2(u1_struct_0(X1),u1_struct_0(X3),u1_struct_0(X2),X4,X5),X6)
| v3_struct_0(X1)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ r4_waybel_0(X1,X3,X4,X6)
| ~ v1_finset_1(k9_relat_1(X4,X6))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_waybel34(X5,X3,X2)
| ~ m2_relset_1(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X5,u1_struct_0(X3),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_23]),c_0_27]),c_0_28]),c_0_29]),c_0_29]) ).
cnf(c_0_38,plain,
( m1_subset_1(esk6_3(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
| v4_waybel34(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_16]) ).
cnf(c_0_39,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_41,plain,
! [X187,X188,X189,X190,X191] :
( ( v1_funct_1(k7_funct_2(X187,X188,X189,X190,X191))
| v1_xboole_0(X188)
| ~ v1_funct_1(X190)
| ~ v1_funct_2(X190,X187,X188)
| ~ m1_relset_1(X190,X187,X188)
| ~ v1_funct_1(X191)
| ~ v1_funct_2(X191,X188,X189)
| ~ m1_relset_1(X191,X188,X189) )
& ( v1_funct_2(k7_funct_2(X187,X188,X189,X190,X191),X187,X189)
| v1_xboole_0(X188)
| ~ v1_funct_1(X190)
| ~ v1_funct_2(X190,X187,X188)
| ~ m1_relset_1(X190,X187,X188)
| ~ v1_funct_1(X191)
| ~ v1_funct_2(X191,X188,X189)
| ~ m1_relset_1(X191,X188,X189) )
& ( m2_relset_1(k7_funct_2(X187,X188,X189,X190,X191),X187,X189)
| v1_xboole_0(X188)
| ~ v1_funct_1(X190)
| ~ v1_funct_2(X190,X187,X188)
| ~ m1_relset_1(X190,X187,X188)
| ~ v1_funct_1(X191)
| ~ v1_funct_2(X191,X188,X189)
| ~ m1_relset_1(X191,X188,X189) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_42,plain,
! [X233,X234,X235,X236,X237] :
( v1_xboole_0(X234)
| ~ v1_funct_1(X236)
| ~ v1_funct_2(X236,X233,X234)
| ~ m1_relset_1(X236,X233,X234)
| ~ v1_funct_1(X237)
| ~ v1_funct_2(X237,X234,X235)
| ~ m1_relset_1(X237,X234,X235)
| k7_funct_2(X233,X234,X235,X236,X237) = k5_relat_1(X236,X237) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])]) ).
fof(c_0_43,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& l1_orders_2(esk1_0)
& ~ v3_struct_0(esk2_0)
& l1_orders_2(esk2_0)
& ~ v3_struct_0(esk3_0)
& l1_orders_2(esk3_0)
& v1_funct_1(esk4_0)
& v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(esk5_0)
& v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& v4_waybel34(esk4_0,esk1_0,esk2_0)
& v4_waybel34(esk5_0,esk2_0,esk3_0)
& ~ v4_waybel34(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,plain,
( v4_waybel34(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ r4_waybel_0(X1,X2,X4,esk6_3(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5)))
| ~ v1_finset_1(k9_relat_1(X4,esk6_3(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5))))
| ~ v4_waybel34(X5,X2,X3)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),u1_struct_0(X1),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_46,plain,
( v1_finset_1(esk6_3(X1,X2,X3))
| v4_waybel34(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_16]) ).
fof(c_0_47,plain,
! [X206,X207] :
( ~ v1_relat_1(X206)
| ~ v1_funct_1(X206)
| ~ v1_finset_1(X207)
| v1_finset_1(k9_relat_1(X206,X207)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_finset_1])]) ).
cnf(c_0_48,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,plain,
( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( v1_xboole_0(X1)
| k7_funct_2(X3,X1,X5,X2,X4) = k5_relat_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X3,X1)
| ~ m1_relset_1(X2,X3,X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X5)
| ~ m1_relset_1(X4,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_52,negated_conjecture,
m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_29]) ).
cnf(c_0_54,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_56,plain,
( v4_waybel34(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3)
| v3_struct_0(X1)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_finset_1(k9_relat_1(X4,esk6_3(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5))))
| ~ v4_waybel34(X5,X2,X3)
| ~ v4_waybel34(X4,X1,X2)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),u1_struct_0(X1),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_20]),c_0_27]),c_0_38]),c_0_46]) ).
cnf(c_0_57,plain,
( v1_finset_1(k9_relat_1(X1,X2))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v1_finset_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,plain,
( v1_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_59,negated_conjecture,
m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_60,plain,
( v1_xboole_0(X1)
| v1_funct_1(k5_relat_1(X2,X3))
| ~ m1_relset_1(X3,X1,X4)
| ~ m1_relset_1(X2,X5,X1)
| ~ v1_funct_2(X3,X1,X4)
| ~ v1_funct_2(X2,X5,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_61,negated_conjecture,
m1_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,negated_conjecture,
v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_63,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_64,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_65,negated_conjecture,
~ v4_waybel34(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_66,plain,
( v4_waybel34(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v3_struct_0(X1)
| ~ m1_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v4_waybel34(X5,X2,X3)
| ~ v4_waybel34(X4,X1,X2)
| ~ m2_relset_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),u1_struct_0(X1),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),u1_struct_0(X1),u1_struct_0(X3))
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5))
| ~ v1_funct_1(X5)
| ~ v1_funct_1(X4)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_46]),c_0_58]) ).
cnf(c_0_67,negated_conjecture,
m1_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_51,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
v4_waybel34(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_69,negated_conjecture,
v4_waybel34(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_70,negated_conjecture,
v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_71,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_72,negated_conjecture,
l1_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_73,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_74,negated_conjecture,
~ v3_struct_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_75,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_76,negated_conjecture,
( v1_funct_1(k5_relat_1(X1,esk5_0))
| ~ m1_relset_1(X1,X2,u1_struct_0(esk2_0))
| ~ v1_funct_2(X1,X2,u1_struct_0(esk2_0))
| ~ v1_funct_1(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63])]),c_0_64]) ).
cnf(c_0_77,plain,
( m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_78,negated_conjecture,
( ~ m2_relset_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_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(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_65,c_0_66]),c_0_67]),c_0_68]),c_0_69]),c_0_52]),c_0_62]),c_0_70]),c_0_63]),c_0_71]),c_0_72]),c_0_73]),c_0_54])]),c_0_55]),c_0_74]),c_0_75]) ).
cnf(c_0_79,negated_conjecture,
v1_funct_1(k5_relat_1(esk4_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_67]),c_0_70]),c_0_71])]) ).
cnf(c_0_80,plain,
( v1_xboole_0(X1)
| m2_relset_1(k5_relat_1(X2,X3),X4,X5)
| ~ m1_relset_1(X3,X1,X5)
| ~ m1_relset_1(X2,X4,X1)
| ~ v1_funct_2(X3,X1,X5)
| ~ v1_funct_2(X2,X4,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_50]) ).
cnf(c_0_81,plain,
( v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_82,negated_conjecture,
( ~ m2_relset_1(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ v1_funct_2(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_50]),c_0_79]),c_0_61]),c_0_67]),c_0_62]),c_0_70]),c_0_63]),c_0_71])]),c_0_64]) ).
cnf(c_0_83,negated_conjecture,
( m2_relset_1(k5_relat_1(X1,esk5_0),X2,u1_struct_0(esk3_0))
| ~ m1_relset_1(X1,X2,u1_struct_0(esk2_0))
| ~ v1_funct_2(X1,X2,u1_struct_0(esk2_0))
| ~ v1_funct_1(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_61]),c_0_62]),c_0_63])]),c_0_64]) ).
cnf(c_0_84,plain,
( v1_xboole_0(X1)
| v1_funct_2(k5_relat_1(X2,X3),X4,X5)
| ~ m1_relset_1(X3,X1,X5)
| ~ m1_relset_1(X2,X4,X1)
| ~ v1_funct_2(X3,X1,X5)
| ~ v1_funct_2(X2,X4,X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_50]) ).
cnf(c_0_85,negated_conjecture,
~ v1_funct_2(k5_relat_1(esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_67]),c_0_70]),c_0_71])]) ).
cnf(c_0_86,negated_conjecture,
( v1_funct_2(k5_relat_1(X1,esk5_0),X2,u1_struct_0(esk3_0))
| ~ m1_relset_1(X1,X2,u1_struct_0(esk2_0))
| ~ v1_funct_2(X1,X2,u1_struct_0(esk2_0))
| ~ v1_funct_1(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_61]),c_0_62]),c_0_63])]),c_0_64]) ).
cnf(c_0_87,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_67]),c_0_70]),c_0_71])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT378+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 : n007.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 21:46:08 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 79.74/43.88 % Version : CSE_E---1.7
% 79.74/43.88 % Problem : theBenchmark.p
% 79.74/43.88 % SZS status Theorem for theBenchmark.p
% 79.74/43.88 % SZS output start CNFRefutation
% See solution above
% 79.84/43.99 % Total time : 39.350s
%------------------------------------------------------------------------------