%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT363+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:05:07 PM UTC 2026
% Result : Theorem 0.85s 0.74s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 90 ( 10 unt; 0 def)
% Number of atoms : 628 ( 10 equ)
% Maximal formula atoms : 50 ( 6 avg)
% Number of connectives : 957 ( 419 ~; 417 |; 80 &)
% ( 6 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-4 aty)
% Number of variables : 195 ( 4 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_waybel34,conjecture,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_pre_topc(X2)
& v2_pre_topc(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v2_waybel34(X3,X1,X2)
<=> v1_t_0topsp(k8_waybel18(X1,X2,X3),X1,k7_waybel18(X1,X2,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_waybel34) ).
fof(d7_waybel18,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( ( l1_pre_topc(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> k8_waybel18(X1,X2,X3) = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_waybel18) ).
fof(d9_waybel34,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1) )
=> ! [X2] :
( ( l1_pre_topc(X2)
& v2_pre_topc(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v2_waybel34(X3,X1,X2)
<=> ! [X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X4,X1) )
=> ( m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)))))
& v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),k3_pre_topc(X2,k1_yellow_2(X1,X2,X3))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_waybel34) ).
fof(d6_waybel18,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> k7_waybel18(X1,X2,X3) = k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_waybel18) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(d2_t_0topsp,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v1_t_0topsp(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X4,X1)
=> v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_t_0topsp) ).
fof(redefinition_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_struct_0(X2)
& l1_struct_0(X1) )
=> k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_k4_pre_topc,axiom,
! [X1,X2,X3,X4] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_struct_0(X2)
& l1_struct_0(X1) )
=> m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_pre_topc) ).
fof(dt_k8_waybel18,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_pre_topc(X2)
& ~ v3_struct_0(X2)
& l1_struct_0(X1) )
=> ( m2_relset_1(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
& v1_funct_2(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
& v1_funct_1(k8_waybel18(X1,X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_waybel18) ).
fof(dt_m1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pre_topc) ).
fof(dt_k7_waybel18,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_pre_topc(X2)
& l1_struct_0(X1) )
=> m1_pre_topc(k7_waybel18(X1,X2,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_waybel18) ).
fof(c_0_12,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_pre_topc(X2)
& v2_pre_topc(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v2_waybel34(X3,X1,X2)
<=> v1_t_0topsp(k8_waybel18(X1,X2,X3),X1,k7_waybel18(X1,X2,X3)) ) ) ) ),
inference(assume_negation,[status(cth)],[t26_waybel34]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_pre_topc(X2)
& v2_pre_topc(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( v2_waybel34(X3,X1,X2)
<=> v1_t_0topsp(k8_waybel18(X1,X2,X3),X1,k7_waybel18(X1,X2,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_14,plain,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( ( l1_pre_topc(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> k8_waybel18(X1,X2,X3) = X3 ) ) ),
inference(fof_simplification,[status(thm)],[d7_waybel18]) ).
fof(c_0_15,plain,
! [X25,X26,X27,X28] :
( ( ~ l1_pre_topc(X25)
| ~ v2_pre_topc(X25)
| ~ l1_pre_topc(X26)
| ~ v2_pre_topc(X26)
| ~ m2_relset_1(X27,u1_struct_0(X25),u1_struct_0(X26))
| ~ v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))
| ~ v1_funct_1(X27)
| v2_waybel34(X27,X25,X26)
| ~ m1_subset_1(k4_pre_topc(X25,X26,X27,esk5_3(X25,X26,X27)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X26,k1_yellow_2(X25,X26,X27)))))
| ~ v3_pre_topc(k4_pre_topc(X25,X26,X27,esk5_3(X25,X26,X27)),k3_pre_topc(X26,k1_yellow_2(X25,X26,X27))) )
& ( ~ l1_pre_topc(X25)
| ~ v2_pre_topc(X25)
| ~ l1_pre_topc(X26)
| ~ v2_pre_topc(X26)
| ~ m2_relset_1(X27,u1_struct_0(X25),u1_struct_0(X26))
| ~ v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))
| ~ v1_funct_1(X27)
| v2_waybel34(X27,X25,X26)
| m1_subset_1(esk5_3(X25,X26,X27),k1_zfmisc_1(u1_struct_0(X25))) )
& ( ~ l1_pre_topc(X25)
| ~ v2_pre_topc(X25)
| ~ l1_pre_topc(X26)
| ~ v2_pre_topc(X26)
| ~ m2_relset_1(X27,u1_struct_0(X25),u1_struct_0(X26))
| ~ v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))
| ~ v1_funct_1(X27)
| v2_waybel34(X27,X25,X26)
| v3_pre_topc(esk5_3(X25,X26,X27),X25) )
& ( ~ l1_pre_topc(X25)
| ~ v2_pre_topc(X25)
| ~ l1_pre_topc(X26)
| ~ v2_pre_topc(X26)
| ~ m2_relset_1(X27,u1_struct_0(X25),u1_struct_0(X26))
| ~ v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))
| ~ v1_funct_1(X27)
| ~ v2_waybel34(X27,X25,X26)
| ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(X25)))
| ~ v3_pre_topc(X28,X25)
| m1_subset_1(k4_pre_topc(X25,X26,X27,X28),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X26,k1_yellow_2(X25,X26,X27))))) )
& ( ~ l1_pre_topc(X25)
| ~ v2_pre_topc(X25)
| ~ l1_pre_topc(X26)
| ~ v2_pre_topc(X26)
| ~ m2_relset_1(X27,u1_struct_0(X25),u1_struct_0(X26))
| ~ v1_funct_2(X27,u1_struct_0(X25),u1_struct_0(X26))
| ~ v1_funct_1(X27)
| ~ v2_waybel34(X27,X25,X26)
| ~ m1_subset_1(X28,k1_zfmisc_1(u1_struct_0(X25)))
| ~ v3_pre_topc(X28,X25)
| v3_pre_topc(k4_pre_topc(X25,X26,X27,X28),k3_pre_topc(X26,k1_yellow_2(X25,X26,X27))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_waybel34])])])])])]) ).
fof(c_0_16,plain,
! [X13,X14,X15] :
( k7_waybel18(X13,X14,X15) = k3_pre_topc(X14,k1_yellow_2(X13,X14,X15))
| ~ m2_relset_1(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_2(X15,u1_struct_0(X13),u1_struct_0(X14))
| ~ v1_funct_1(X15)
| ~ l1_pre_topc(X14)
| ~ l1_struct_0(X13) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_waybel18])])])]) ).
fof(c_0_17,plain,
! [X70] :
( l1_struct_0(X70)
| ~ l1_pre_topc(X70) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])])]) ).
fof(c_0_18,plain,
! [X8,X9,X10,X11] :
( ( ~ l1_pre_topc(X8)
| ~ l1_pre_topc(X9)
| ~ m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X9))
| ~ v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X9))
| ~ v1_funct_1(X10)
| v1_t_0topsp(X10,X8,X9)
| ~ v3_pre_topc(k4_pre_topc(X8,X9,X10,esk4_3(X8,X9,X10)),X9) )
& ( ~ l1_pre_topc(X8)
| ~ l1_pre_topc(X9)
| ~ m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X9))
| ~ v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X9))
| ~ v1_funct_1(X10)
| v1_t_0topsp(X10,X8,X9)
| v3_pre_topc(esk4_3(X8,X9,X10),X8) )
& ( ~ l1_pre_topc(X8)
| ~ l1_pre_topc(X9)
| ~ m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X9))
| ~ v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X9))
| ~ v1_funct_1(X10)
| v1_t_0topsp(X10,X8,X9)
| m1_subset_1(esk4_3(X8,X9,X10),k1_zfmisc_1(u1_struct_0(X8))) )
& ( ~ l1_pre_topc(X8)
| ~ l1_pre_topc(X9)
| ~ m2_relset_1(X10,u1_struct_0(X8),u1_struct_0(X9))
| ~ v1_funct_2(X10,u1_struct_0(X8),u1_struct_0(X9))
| ~ v1_funct_1(X10)
| v3_pre_topc(k4_pre_topc(X8,X9,X10,X11),X9)
| ~ v3_pre_topc(X11,X8)
| ~ m1_subset_1(X11,k1_zfmisc_1(u1_struct_0(X8)))
| ~ v1_t_0topsp(X10,X8,X9) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_t_0topsp])])])])])]) ).
fof(c_0_19,plain,
! [X55,X56,X57,X58] :
( k4_pre_topc(X55,X56,X57,X58) = k9_relat_1(X57,X58)
| ~ m1_relset_1(X57,u1_struct_0(X55),u1_struct_0(X56))
| ~ v1_funct_2(X57,u1_struct_0(X55),u1_struct_0(X56))
| ~ v1_funct_1(X57)
| ~ l1_struct_0(X56)
| ~ l1_struct_0(X55) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_pre_topc])])]) ).
fof(c_0_20,plain,
! [X33,X34,X35] :
( ( m2_relset_1(X35,X33,X34)
| ~ m1_relset_1(X35,X33,X34) )
& ( m1_relset_1(X35,X33,X34)
| ~ m2_relset_1(X35,X33,X34) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_21,negated_conjecture,
( ( v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
| v2_waybel34(esk3_0,esk1_0,esk2_0) )
& ( ~ v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v2_waybel34(esk3_0,esk1_0,esk2_0) )
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(esk3_0)
& l1_pre_topc(esk2_0)
& v2_pre_topc(esk2_0)
& ~ v3_struct_0(esk2_0)
& l1_pre_topc(esk1_0)
& v2_pre_topc(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_22,plain,
! [X22,X23,X24] :
( k8_waybel18(X22,X23,X24) = X24
| ~ m2_relset_1(X24,u1_struct_0(X22),u1_struct_0(X23))
| ~ v1_funct_2(X24,u1_struct_0(X22),u1_struct_0(X23))
| ~ v1_funct_1(X24)
| ~ l1_pre_topc(X23)
| v3_struct_0(X23)
| ~ l1_struct_0(X22) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_23,plain,
! [X51,X52,X53,X54] :
( m1_subset_1(k4_pre_topc(X51,X52,X53,X54),k1_zfmisc_1(u1_struct_0(X52)))
| ~ m1_relset_1(X53,u1_struct_0(X51),u1_struct_0(X52))
| ~ v1_funct_2(X53,u1_struct_0(X51),u1_struct_0(X52))
| ~ v1_funct_1(X53)
| ~ l1_struct_0(X52)
| ~ l1_struct_0(X51) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])])]) ).
fof(c_0_24,plain,
! [X1,X2,X3] :
( ( m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3)
& l1_pre_topc(X2)
& ~ v3_struct_0(X2)
& l1_struct_0(X1) )
=> ( m2_relset_1(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
& v1_funct_2(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3)))
& v1_funct_1(k8_waybel18(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_waybel18]) ).
cnf(c_0_25,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ m1_subset_1(k4_pre_topc(X1,X2,X3,esk5_3(X1,X2,X3)),k1_zfmisc_1(u1_struct_0(k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)))))
| ~ v3_pre_topc(k4_pre_topc(X1,X2,X3,esk5_3(X1,X2,X3)),k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)))
| v2_waybel34(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26,plain,
( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_pre_topc(X2)
| ~ l1_struct_0(X1)
| k7_waybel18(X1,X2,X3) = k3_pre_topc(X2,k1_yellow_2(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
( ~ l1_pre_topc(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,plain,
( ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X3)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ v3_pre_topc(X4,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_t_0topsp(X1,X2,X3)
| v3_pre_topc(k4_pre_topc(X2,X3,X1,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| k4_pre_topc(X1,X2,X3,X4) = k9_relat_1(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
( ~ m1_relset_1(X1,X2,X3)
| m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
( v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
| v2_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
( ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_pre_topc(X2)
| ~ l1_struct_0(X1)
| k8_waybel18(X1,X2,X3) = X3
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_36,negated_conjecture,
l1_pre_topc(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_37,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_38,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_struct_0(X2)
| ~ l1_struct_0(X1)
| m1_subset_1(k4_pre_topc(X1,X2,X3,X4),k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_39,plain,
! [X19,X20,X21] :
( ( ~ m1_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_1(X21)
| ~ l1_pre_topc(X20)
| v3_struct_0(X20)
| ~ l1_struct_0(X19)
| m2_relset_1(k8_waybel18(X19,X20,X21),u1_struct_0(X19),u1_struct_0(k7_waybel18(X19,X20,X21))) )
& ( ~ m1_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_1(X21)
| ~ l1_pre_topc(X20)
| v3_struct_0(X20)
| ~ l1_struct_0(X19)
| v1_funct_2(k8_waybel18(X19,X20,X21),u1_struct_0(X19),u1_struct_0(k7_waybel18(X19,X20,X21))) )
& ( ~ m1_relset_1(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_2(X21,u1_struct_0(X19),u1_struct_0(X20))
| ~ v1_funct_1(X21)
| ~ l1_pre_topc(X20)
| v3_struct_0(X20)
| ~ l1_struct_0(X19)
| v1_funct_1(k8_waybel18(X19,X20,X21)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_40,plain,
( ~ v2_pre_topc(X2)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_subset_1(k4_pre_topc(X2,X3,X1,esk5_3(X2,X3,X1)),k1_zfmisc_1(u1_struct_0(k7_waybel18(X2,X3,X1))))
| ~ v3_pre_topc(k4_pre_topc(X2,X3,X1,esk5_3(X2,X3,X1)),k7_waybel18(X2,X3,X1))
| v2_waybel34(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_41,plain,
( ~ l1_pre_topc(X4)
| ~ l1_pre_topc(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X4),u1_struct_0(X3))
| ~ v1_t_0topsp(X1,X4,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X4)))
| ~ v3_pre_topc(X2,X4)
| ~ m1_relset_1(X1,u1_struct_0(X4),u1_struct_0(X3))
| v3_pre_topc(k9_relat_1(X1,X2),X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_27]),c_0_27]) ).
cnf(c_0_42,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| v2_waybel34(esk3_0,esk1_0,esk2_0)
| v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_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(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_43,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_44,plain,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X4),u1_struct_0(X3))
| ~ l1_struct_0(X4)
| ~ l1_struct_0(X3)
| ~ m1_relset_1(X1,u1_struct_0(X4),u1_struct_0(X3))
| m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(spm,[status(thm)],[c_0_38,c_0_29]) ).
cnf(c_0_45,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_46,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_pre_topc(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_pre_topc(X2)
| ~ l1_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(k8_waybel18(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k7_waybel18(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( ~ v2_pre_topc(X2)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_subset_1(k9_relat_1(X1,esk5_3(X2,X3,X1)),k1_zfmisc_1(u1_struct_0(k7_waybel18(X2,X3,X1))))
| ~ v3_pre_topc(k9_relat_1(X1,esk5_3(X2,X3,X1)),k7_waybel18(X2,X3,X1))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| v2_waybel34(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_29]),c_0_30]),c_0_27]),c_0_27]) ).
cnf(c_0_49,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v3_pre_topc(X1,esk1_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| v2_waybel34(esk3_0,esk1_0,esk2_0)
| v3_pre_topc(k9_relat_1(esk3_0,X1),k7_waybel18(esk1_0,esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_35]),c_0_43])]) ).
cnf(c_0_50,negated_conjecture,
v2_pre_topc(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_51,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_52,plain,
( ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X4),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X4),u1_struct_0(X3))
| ~ l1_struct_0(X4)
| ~ l1_struct_0(X3)
| m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_53,plain,
( ~ l1_pre_topc(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ l1_struct_0(X2)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| v3_struct_0(X3)
| m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(k7_waybel18(X2,X3,X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_32]),c_0_30]) ).
cnf(c_0_54,plain,
( ~ l1_pre_topc(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ l1_struct_0(X2)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| v3_struct_0(X3)
| v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(k7_waybel18(X2,X3,X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_32]),c_0_30]) ).
cnf(c_0_55,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(k9_relat_1(esk3_0,esk5_3(esk1_0,esk2_0,esk3_0)),k1_zfmisc_1(u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))))
| ~ v3_pre_topc(esk5_3(esk1_0,esk2_0,esk3_0),esk1_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| v2_waybel34(esk3_0,esk1_0,esk2_0) ),
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_48,c_0_49]),c_0_34]),c_0_35]),c_0_36]),c_0_43]),c_0_50]),c_0_51])]) ).
cnf(c_0_56,plain,
( ~ l1_pre_topc(X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X4))
| ~ l1_struct_0(X3)
| ~ l1_struct_0(k7_waybel18(X3,X4,X1))
| ~ m1_relset_1(X1,u1_struct_0(X3),u1_struct_0(X4))
| v3_struct_0(X4)
| m1_subset_1(k9_relat_1(X1,X2),k1_zfmisc_1(u1_struct_0(k7_waybel18(X3,X4,X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_57,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v3_pre_topc(esk5_3(esk1_0,esk2_0,esk3_0),esk1_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| v2_waybel34(esk3_0,esk1_0,esk2_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(spm,[status(thm)],[c_0_55,c_0_56]),c_0_34]),c_0_35]),c_0_36])]),c_0_37]),c_0_27]) ).
cnf(c_0_58,plain,
( ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v3_pre_topc(k4_pre_topc(X1,X2,X3,esk4_3(X1,X2,X3)),X2)
| v1_t_0topsp(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_59,plain,
! [X74,X75] :
( l1_pre_topc(X75)
| ~ m1_pre_topc(X75,X74)
| ~ l1_pre_topc(X74) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_pre_topc])])])]) ).
fof(c_0_60,plain,
! [X16,X17,X18] :
( m1_pre_topc(k7_waybel18(X16,X17,X18),X17)
| ~ m1_relset_1(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_2(X18,u1_struct_0(X16),u1_struct_0(X17))
| ~ v1_funct_1(X18)
| ~ l1_pre_topc(X17)
| ~ l1_struct_0(X16) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_waybel18])])]) ).
cnf(c_0_61,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v3_pre_topc(esk5_3(esk1_0,esk2_0,esk3_0),esk1_0)
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| v2_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_45]) ).
cnf(c_0_62,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| v2_waybel34(X3,X1,X2)
| v3_pre_topc(esk5_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_63,plain,
( ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_pre_topc(k9_relat_1(X1,esk4_3(X2,X3,X1)),X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| v1_t_0topsp(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_29]),c_0_30]),c_0_27]),c_0_27]) ).
cnf(c_0_64,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ v2_waybel34(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X4,X1)
| v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),k3_pre_topc(X2,k1_yellow_2(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_65,plain,
( ~ m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,plain,
( ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| ~ l1_pre_topc(X2)
| ~ l1_struct_0(X1)
| m1_pre_topc(k7_waybel18(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| v2_waybel34(esk3_0,esk1_0,esk2_0) ),
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_61,c_0_62]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_43]),c_0_50]),c_0_51])]) ).
cnf(c_0_68,plain,
( ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X4),u1_struct_0(X5))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v3_pre_topc(k4_pre_topc(X4,X5,X1,esk4_3(X2,X3,X1)),X3)
| ~ l1_struct_0(X4)
| ~ l1_struct_0(X5)
| ~ m1_relset_1(X1,u1_struct_0(X4),u1_struct_0(X5))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| v1_t_0topsp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_63,c_0_29]) ).
cnf(c_0_69,plain,
( ~ v2_pre_topc(X1)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ 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))
| ~ v2_waybel34(X3,X1,X2)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X4,X1)
| v3_pre_topc(k4_pre_topc(X1,X2,X3,X4),k7_waybel18(X1,X2,X3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_26]),c_0_27]) ).
cnf(c_0_70,plain,
( ~ l1_pre_topc(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_struct_0(X1)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| l1_pre_topc(k7_waybel18(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ m1_subset_1(esk5_3(esk1_0,esk2_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| v2_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_53]),c_0_34]),c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_72,plain,
( ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| v2_waybel34(X3,X1,X2)
| m1_subset_1(esk5_3(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_73,plain,
( ~ v2_pre_topc(X3)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X3)
| ~ l1_pre_topc(X4)
| ~ l1_pre_topc(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X4))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(k7_waybel18(X3,X4,X1)))
| ~ v2_waybel34(X1,X3,X4)
| ~ m1_subset_1(esk4_3(X2,k7_waybel18(X3,X4,X1),X1),k1_zfmisc_1(u1_struct_0(X3)))
| ~ v3_pre_topc(esk4_3(X2,k7_waybel18(X3,X4,X1),X1),X3)
| ~ m1_relset_1(X1,u1_struct_0(X3),u1_struct_0(X4))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(k7_waybel18(X3,X4,X1)))
| v1_t_0topsp(X1,X2,k7_waybel18(X3,X4,X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]),c_0_30]),c_0_27]),c_0_27]) ).
cnf(c_0_74,plain,
( ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| v1_t_0topsp(X3,X1,X2)
| v3_pre_topc(esk4_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_75,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| v2_waybel34(esk3_0,esk1_0,esk2_0) ),
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_71,c_0_72]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_43]),c_0_50]),c_0_51])]) ).
cnf(c_0_76,negated_conjecture,
( ~ v1_t_0topsp(k8_waybel18(esk1_0,esk2_0,esk3_0),esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v2_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_77,plain,
( ~ v2_pre_topc(X2)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(k7_waybel18(X2,X3,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(k7_waybel18(X2,X3,X1)))
| ~ v2_waybel34(X1,X2,X3)
| ~ m1_subset_1(esk4_3(X2,k7_waybel18(X2,X3,X1),X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(k7_waybel18(X2,X3,X1)))
| v1_t_0topsp(X1,X2,k7_waybel18(X2,X3,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_30]) ).
cnf(c_0_78,plain,
( ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3)
| v1_t_0topsp(X3,X1,X2)
| m1_subset_1(esk4_3(X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_79,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| v2_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_54]),c_0_34]),c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_80,negated_conjecture,
( ~ v2_waybel34(esk3_0,esk1_0,esk2_0)
| ~ v1_t_0topsp(esk3_0,esk1_0,k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ l1_struct_0(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_81,plain,
( ~ v2_pre_topc(X2)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(k7_waybel18(X2,X3,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(k7_waybel18(X2,X3,X1)))
| ~ v2_waybel34(X1,X2,X3)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(k7_waybel18(X2,X3,X1)))
| v1_t_0topsp(X1,X2,k7_waybel18(X2,X3,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_30]) ).
cnf(c_0_82,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| v2_waybel34(esk3_0,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_70]),c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_83,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0))) ),
inference(csr,[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_80,c_0_81]),c_0_34]),c_0_35]),c_0_43]),c_0_36]),c_0_50]),c_0_51])]),c_0_82]) ).
cnf(c_0_84,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_45]) ).
cnf(c_0_85,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(k7_waybel18(esk1_0,esk2_0,esk3_0)))
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_53]),c_0_34]),c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_86,negated_conjecture,
( ~ l1_pre_topc(k7_waybel18(esk1_0,esk2_0,esk3_0))
| ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_54]),c_0_34]),c_0_35]),c_0_36])]),c_0_37]) ).
cnf(c_0_87,negated_conjecture,
( ~ l1_struct_0(esk1_0)
| ~ m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_70]),c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_88,negated_conjecture,
~ l1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_45]),c_0_33])]) ).
cnf(c_0_89,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_27]),c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT363+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.45 % Computer : n018.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 23:52:29 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.55 Running first-order theorem proving
% 0.26/0.55 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.85/0.73 % Version: 3.5.1
% 0.85/0.73 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.73 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.73 % Starting new_bool_3 with 300s (1) cores
% 0.85/0.73 % Starting new_bool_1 with 300s (1) cores
% 0.85/0.73 % Starting sh5l with 300s (1) cores
% 0.85/0.73 % new_bool_1 with pid 499274 completed with status 0
% 0.85/0.73 % Result found by new_bool_1
% 0.85/0.73 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.73 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.73 % Starting new_bool_3 with 300s (1) cores
% 0.85/0.73 % Starting new_bool_1 with 300s (1) cores
% 0.85/0.73 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.85/0.73 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.85/0.73 % Search class: FGHSS-FFMM31-MFFFFFNN
% 0.85/0.73 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.85/0.73 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.85/0.73 % Starting SubtermCWHack with 28s (1) cores
% 0.85/0.74 % SubtermCWHack with pid 499276 completed with status 0
% 0.85/0.74 % Result found by SubtermCWHack
% 0.85/0.74 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.74 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.74 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.74 % Starting new_bool_3 with 300s (1) cores
% 0.85/0.74 % Starting new_bool_1 with 300s (1) cores
% 0.85/0.74 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.85/0.74 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.85/0.74 % Search class: FGHSS-FFMM31-MFFFFFNN
% 0.85/0.74 % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.85/0.74 % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.85/0.74 % Starting SubtermCWHack with 28s (1) cores
% 0.85/0.74 % Preprocessing time : 0.002 s
% 0.85/0.74
% 0.85/0.74 % Proof found!
% 0.85/0.74 % SZS status Theorem
% 0.85/0.74 % SZS output start CNFRefutation
% See solution above
% 0.85/0.74 % Parsed axioms : 102
% 0.85/0.74 % Removed by relevancy pruning/SinE : 61
% 0.85/0.74 % Initial clauses : 85
% 0.85/0.74 % Removed in clause preprocessing : 0
% 0.85/0.74 % Initial clauses in saturation : 85
% 0.85/0.74 % Processed clauses : 377
% 0.85/0.74 % ...of these trivial : 0
% 0.85/0.74 % ...subsumed : 143
% 0.85/0.74 % ...remaining for further processing : 234
% 0.85/0.74 % Other redundant clauses eliminated : 0
% 0.85/0.74 % Clauses deleted for lack of memory : 0
% 0.85/0.74 % Backward-subsumed : 33
% 0.85/0.74 % Backward-rewritten : 0
% 0.85/0.74 % Generated clauses : 420
% 0.85/0.74 % ...of the previous two non-redundant : 393
% 0.85/0.74 % ...aggressively subsumed : 0
% 0.85/0.74 % Contextual simplify-reflections : 90
% 0.85/0.74 % Paramodulations : 420
% 0.85/0.74 % Factorizations : 0
% 0.85/0.74 % NegExts : 0
% 0.85/0.74 % Equation resolutions : 0
% 0.85/0.74 % Disequality decompositions : 0
% 0.85/0.74 % Total rewrite steps : 133
% 0.85/0.74 % ...of those cached : 126
% 0.85/0.74 % Propositional unsat checks : 0
% 0.85/0.74 % Propositional check models : 0
% 0.85/0.74 % Propositional check unsatisfiable : 0
% 0.85/0.74 % Propositional clauses : 0
% 0.85/0.74 % Propositional clauses after purity: 0
% 0.85/0.74 % Propositional unsat core size : 0
% 0.85/0.74 % Propositional preprocessing time : 0.000
% 0.85/0.74 % Propositional encoding time : 0.000
% 0.85/0.74 % Propositional solver time : 0.000
% 0.85/0.74 % Success case prop preproc time : 0.000
% 0.85/0.74 % Success case prop encoding time : 0.000
% 0.85/0.74 % Success case prop solver time : 0.000
% 0.85/0.74 % Current number of processed clauses : 201
% 0.85/0.74 % Positive orientable unit clauses : 19
% 0.85/0.74 % Positive unorientable unit clauses: 0
% 0.85/0.74 % Negative unit clauses : 5
% 0.85/0.74 % Non-unit-clauses : 177
% 0.85/0.74 % Current number of unprocessed clauses: 98
% 0.85/0.74 % ...number of literals in the above : 1777
% 0.85/0.74 % Current number of archived formulas : 0
% 0.85/0.74 % Current number of archived clauses : 33
% 0.85/0.74 % Clause-clause subsumption calls (NU) : 63839
% 0.85/0.74 % Rec. Clause-clause subsumption calls : 1456
% 0.85/0.74 % Non-unit clause-clause subsumptions : 250
% 0.85/0.74 % Unit Clause-clause subsumption calls : 24
% 0.85/0.74 % Rewrite failures with RHS unbound : 0
% 0.85/0.74 % BW rewrite match attempts : 0
% 0.85/0.74 % BW rewrite match successes : 0
% 0.85/0.74 % Condensation attempts : 0
% 0.85/0.74 % Condensation successes : 0
% 0.85/0.74 % Termbank termtop insertions : 36001
% 0.85/0.74 % Search garbage collected termcells : 1731
% 0.85/0.74
% 0.85/0.74 % -------------------------------------------------
% 0.85/0.74 % User time : 0.126 s
% 0.85/0.74 % System time : 0.005 s
% 0.85/0.74 % Total time : 0.131 s
% 0.85/0.74 % Maximum resident set size: 4000 pages
% 0.85/0.74
% 0.85/0.74 % -------------------------------------------------
% 0.85/0.74 % User time : 0.130 s
% 0.85/0.74 % System time : 0.014 s
% 0.85/0.74 % Total time : 0.144 s
% 0.85/0.74 % Maximum resident set size: 4864 pages
% 0.85/0.74 % E exiting
%------------------------------------------------------------------------------