%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP032+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 : 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 05:56:40 PM UTC 2026
% Result : Theorem 113.20s 81.35s
% Output : CNFRefutation 113.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 111 ( 28 unt; 0 def)
% Number of atoms : 635 ( 56 equ)
% Maximal formula atoms : 104 ( 5 avg)
% Number of connectives : 844 ( 320 ~; 342 |; 107 &)
% ( 9 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-4 aty)
% Number of variables : 191 ( 0 sgn 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t19_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [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)) )
=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> r2_hidden(k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k4_tex_4(X1,X4)) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_tsp_2) ).
fof(t18_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [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)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( X4 = u1_struct_0(X2)
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> k5_subset_1(u1_struct_0(X1),X4,k4_tex_4(X1,X5)) = k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X5)) ) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_tsp_2) ).
fof(redefinition_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(dt_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_funct_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/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
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(dt_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(t1_tsep_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_pre_topc(X2,X1)
=> m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_tsep_1) ).
fof(t11_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X3 = u1_struct_0(X2)
=> ( v1_tsp_2(X3,X1)
<=> v2_tsp_2(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_tsp_2) ).
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_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k4_tex_4(X1,X2))
& m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tex_4) ).
fof(d2_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
=> k5_subset_1(u1_struct_0(X1),X2,k4_tex_4(X1,X3)) = k1_struct_0(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tsp_2) ).
fof(d4_tsp_2,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
<=> ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v1_tsp_1(X3,X1)
& r1_tarski(X2,X3) )
=> X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tsp_2) ).
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(redefinition_k4_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k4_tex_4(X1,X2) = k2_tex_4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_tex_4) ).
fof(redefinition_k1_struct_0,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(t23_tex_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k2_tex_4(X1,X2))
<=> k2_tex_4(X1,X3) = k2_tex_4(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_tex_4) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [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)) )
=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> r2_hidden(k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4),k4_tex_4(X1,X4)) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t19_tsp_2])]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ! [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)) )
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( X4 = u1_struct_0(X2)
& ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> k5_subset_1(u1_struct_0(X1),X4,k4_tex_4(X1,X5)) = k1_struct_0(X2,k8_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X5)) ) )
=> ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t18_tsp_2]) ).
fof(c_0_20,plain,
! [X453,X454] :
( ( ~ m2_tsp_1(X454,X453)
| m1_pre_topc(X454,X453)
| ~ l1_pre_topc(X453) )
& ( ~ m1_pre_topc(X454,X453)
| m2_tsp_1(X454,X453)
| ~ l1_pre_topc(X453) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_tsp_1])])])]) ).
fof(c_0_21,negated_conjecture,
! [X248] :
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_tsp_2(esk2_0,esk1_0)
& m2_tsp_1(esk2_0,esk1_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& ( ~ m1_subset_1(X248,u1_struct_0(esk1_0))
| r2_hidden(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X248),k4_tex_4(esk1_0,X248)) )
& ( ~ v1_funct_1(esk3_0)
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v5_pre_topc(esk3_0,esk1_0,esk2_0)
| ~ m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_22,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
inference(fof_simplification,[status(thm)],[dt_k8_funct_2]) ).
fof(c_0_23,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]) ).
fof(c_0_24,plain,
! [X361] :
( ~ l1_pre_topc(X361)
| l1_struct_0(X361) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(c_0_25,plain,
! [X367,X368] :
( ~ l1_pre_topc(X367)
| ~ m2_tsp_1(X368,X367)
| l1_pre_topc(X368) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])]) ).
fof(c_0_26,plain,
! [X459,X460,X461,X462] :
( ( v1_funct_1(X461)
| m1_subset_1(esk26_4(X459,X460,X461,X462),u1_struct_0(X459))
| X462 != u1_struct_0(X460)
| ~ m1_subset_1(X462,k1_zfmisc_1(u1_struct_0(X459)))
| ~ v1_funct_1(X461)
| ~ v1_funct_2(X461,u1_struct_0(X459),u1_struct_0(X460))
| ~ m2_relset_1(X461,u1_struct_0(X459),u1_struct_0(X460))
| v3_struct_0(X460)
| ~ v2_tsp_2(X460,X459)
| ~ m2_tsp_1(X460,X459)
| v3_struct_0(X459)
| ~ v2_pre_topc(X459)
| ~ l1_pre_topc(X459) )
& ( v1_funct_2(X461,u1_struct_0(X459),u1_struct_0(X460))
| m1_subset_1(esk26_4(X459,X460,X461,X462),u1_struct_0(X459))
| X462 != u1_struct_0(X460)
| ~ m1_subset_1(X462,k1_zfmisc_1(u1_struct_0(X459)))
| ~ v1_funct_1(X461)
| ~ v1_funct_2(X461,u1_struct_0(X459),u1_struct_0(X460))
| ~ m2_relset_1(X461,u1_struct_0(X459),u1_struct_0(X460))
| v3_struct_0(X460)
| ~ v2_tsp_2(X460,X459)
| ~ m2_tsp_1(X460,X459)
| v3_struct_0(X459)
| ~ v2_pre_topc(X459)
| ~ l1_pre_topc(X459) )
& ( v5_pre_topc(X461,X459,X460)
| m1_subset_1(esk26_4(X459,X460,X461,X462),u1_struct_0(X459))
| X462 != u1_struct_0(X460)
| ~ m1_subset_1(X462,k1_zfmisc_1(u1_struct_0(X459)))
| ~ v1_funct_1(X461)
| ~ v1_funct_2(X461,u1_struct_0(X459),u1_struct_0(X460))
| ~ m2_relset_1(X461,u1_struct_0(X459),u1_struct_0(X460))
| v3_struct_0(X460)
| ~ v2_tsp_2(X460,X459)
| ~ m2_tsp_1(X460,X459)
| v3_struct_0(X459)
| ~ v2_pre_topc(X459)
| ~ l1_pre_topc(X459) )
& ( m2_relset_1(X461,u1_struct_0(X459),u1_struct_0(X460))
| m1_subset_1(esk26_4(X459,X460,X461,X462),u1_struct_0(X459))
| X462 != u1_struct_0(X460)
| ~ m1_subset_1(X462,k1_zfmisc_1(u1_struct_0(X459)))
| ~ v1_funct_1(X461)
| ~ v1_funct_2(X461,u1_struct_0(X459),u1_struct_0(X460))
| ~ m2_relset_1(X461,u1_struct_0(X459),u1_struct_0(X460))
| v3_struct_0(X460)
| ~ v2_tsp_2(X460,X459)
| ~ m2_tsp_1(X460,X459)
| v3_struct_0(X459)
| ~ v2_pre_topc(X459)
| ~ l1_pre_topc(X459) )
& ( v1_funct_1(X461)
| k5_subset_1(u1_struct_0(X459),X462,k4_tex_4(X459,esk26_4(X459,X460,X461,X462))) != k1_struct_0(X460,k8_funct_2(u1_struct_0(X459),u1_struct_0(X460),X461,esk26_4(X459,X460,X461,X462)))
| X462 != u1_struct_0(X460)
| ~ m1_subset_1(X462,k1_zfmisc_1(u1_struct_0(X459)))
| ~ v1_funct_1(X461)
| ~ v1_funct_2(X461,u1_struct_0(X459),u1_struct_0(X460))
| ~ m2_relset_1(X461,u1_struct_0(X459),u1_struct_0(X460))
| v3_struct_0(X460)
| ~ v2_tsp_2(X460,X459)
| ~ m2_tsp_1(X460,X459)
| v3_struct_0(X459)
| ~ v2_pre_topc(X459)
| ~ l1_pre_topc(X459) )
& ( v1_funct_2(X461,u1_struct_0(X459),u1_struct_0(X460))
| k5_subset_1(u1_struct_0(X459),X462,k4_tex_4(X459,esk26_4(X459,X460,X461,X462))) != k1_struct_0(X460,k8_funct_2(u1_struct_0(X459),u1_struct_0(X460),X461,esk26_4(X459,X460,X461,X462)))
| X462 != u1_struct_0(X460)
| ~ m1_subset_1(X462,k1_zfmisc_1(u1_struct_0(X459)))
| ~ v1_funct_1(X461)
| ~ v1_funct_2(X461,u1_struct_0(X459),u1_struct_0(X460))
| ~ m2_relset_1(X461,u1_struct_0(X459),u1_struct_0(X460))
| v3_struct_0(X460)
| ~ v2_tsp_2(X460,X459)
| ~ m2_tsp_1(X460,X459)
| v3_struct_0(X459)
| ~ v2_pre_topc(X459)
| ~ l1_pre_topc(X459) )
& ( v5_pre_topc(X461,X459,X460)
| k5_subset_1(u1_struct_0(X459),X462,k4_tex_4(X459,esk26_4(X459,X460,X461,X462))) != k1_struct_0(X460,k8_funct_2(u1_struct_0(X459),u1_struct_0(X460),X461,esk26_4(X459,X460,X461,X462)))
| X462 != u1_struct_0(X460)
| ~ m1_subset_1(X462,k1_zfmisc_1(u1_struct_0(X459)))
| ~ v1_funct_1(X461)
| ~ v1_funct_2(X461,u1_struct_0(X459),u1_struct_0(X460))
| ~ m2_relset_1(X461,u1_struct_0(X459),u1_struct_0(X460))
| v3_struct_0(X460)
| ~ v2_tsp_2(X460,X459)
| ~ m2_tsp_1(X460,X459)
| v3_struct_0(X459)
| ~ v2_pre_topc(X459)
| ~ l1_pre_topc(X459) )
& ( m2_relset_1(X461,u1_struct_0(X459),u1_struct_0(X460))
| k5_subset_1(u1_struct_0(X459),X462,k4_tex_4(X459,esk26_4(X459,X460,X461,X462))) != k1_struct_0(X460,k8_funct_2(u1_struct_0(X459),u1_struct_0(X460),X461,esk26_4(X459,X460,X461,X462)))
| X462 != u1_struct_0(X460)
| ~ m1_subset_1(X462,k1_zfmisc_1(u1_struct_0(X459)))
| ~ v1_funct_1(X461)
| ~ v1_funct_2(X461,u1_struct_0(X459),u1_struct_0(X460))
| ~ m2_relset_1(X461,u1_struct_0(X459),u1_struct_0(X460))
| v3_struct_0(X460)
| ~ v2_tsp_2(X460,X459)
| ~ m2_tsp_1(X460,X459)
| v3_struct_0(X459)
| ~ v2_pre_topc(X459)
| ~ l1_pre_topc(X459) ) ),
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_19])])])])]) ).
fof(c_0_27,plain,
! [X466,X467] :
( ~ l1_pre_topc(X466)
| ~ m1_pre_topc(X467,X466)
| m1_subset_1(u1_struct_0(X467),k1_zfmisc_1(u1_struct_0(X466))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_tsep_1])])]) ).
cnf(c_0_28,plain,
( m1_pre_topc(X1,X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_31,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X3 = u1_struct_0(X2)
=> ( v1_tsp_2(X3,X1)
<=> v2_tsp_2(X2,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_tsp_2]) ).
fof(c_0_32,plain,
! [X357,X358,X359,X360] :
( v1_xboole_0(X357)
| ~ v1_funct_1(X359)
| ~ v1_funct_2(X359,X357,X358)
| ~ m1_relset_1(X359,X357,X358)
| ~ m1_subset_1(X360,X357)
| m1_subset_1(k8_funct_2(X357,X358,X359,X360),X358) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_33,plain,
! [X450,X451,X452] :
( ( ~ m2_relset_1(X452,X450,X451)
| m1_relset_1(X452,X450,X451) )
& ( ~ m1_relset_1(X452,X450,X451)
| m2_relset_1(X452,X450,X451) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_34,plain,
! [X385] :
( v3_struct_0(X385)
| ~ l1_struct_0(X385)
| ~ v1_xboole_0(u1_struct_0(X385)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).
cnf(c_0_35,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_36,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
( v5_pre_topc(X1,X2,X3)
| m1_subset_1(esk26_4(X2,X3,X1,X4),u1_struct_0(X2))
| v3_struct_0(X3)
| v3_struct_0(X2)
| X4 != u1_struct_0(X3)
| ~ 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))
| ~ v2_tsp_2(X3,X2)
| ~ m2_tsp_1(X3,X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
fof(c_0_40,plain,
! [X456,X457,X458] :
( ( ~ v1_tsp_2(X458,X456)
| v2_tsp_2(X457,X456)
| X458 != u1_struct_0(X457)
| ~ m1_subset_1(X458,k1_zfmisc_1(u1_struct_0(X456)))
| ~ m2_tsp_1(X457,X456)
| v3_struct_0(X456)
| ~ l1_pre_topc(X456) )
& ( ~ v2_tsp_2(X457,X456)
| v1_tsp_2(X458,X456)
| X458 != u1_struct_0(X457)
| ~ m1_subset_1(X458,k1_zfmisc_1(u1_struct_0(X456)))
| ~ m2_tsp_1(X457,X456)
| v3_struct_0(X456)
| ~ l1_pre_topc(X456) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
cnf(c_0_41,plain,
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X3,X2,X4),X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
cnf(c_0_45,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_46,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_29]),c_0_30])]) ).
fof(c_0_47,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k4_tex_4(X1,X2))
& m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_tex_4]) ).
cnf(c_0_48,plain,
( v5_pre_topc(X1,X2,X3)
| m1_subset_1(esk26_4(X2,X3,X1,u1_struct_0(X3)),u1_struct_0(X2))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X2)))
| ~ 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)
| ~ m2_tsp_1(X3,X2)
| ~ v2_tsp_2(X3,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_49,negated_conjecture,
m1_subset_1(u1_struct_0(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_30])]) ).
cnf(c_0_50,negated_conjecture,
v2_tsp_2(esk2_0,esk1_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,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_53,negated_conjecture,
( ~ v1_funct_1(esk3_0)
| ~ v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v5_pre_topc(esk3_0,esk1_0,esk2_0)
| ~ 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_54,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_55,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_56,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]) ).
fof(c_0_57,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,X2)
=> k5_subset_1(u1_struct_0(X1),X2,k4_tex_4(X1,X3)) = k1_struct_0(X1,X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d2_tsp_2]) ).
fof(c_0_58,plain,
! [X344,X345,X346] :
( ( v1_tsp_1(X345,X344)
| ~ v1_tsp_2(X345,X344)
| ~ m1_subset_1(X345,k1_zfmisc_1(u1_struct_0(X344)))
| ~ l1_pre_topc(X344) )
& ( ~ m1_subset_1(X346,k1_zfmisc_1(u1_struct_0(X344)))
| ~ v1_tsp_1(X346,X344)
| ~ r1_tarski(X345,X346)
| X345 = X346
| ~ v1_tsp_2(X345,X344)
| ~ m1_subset_1(X345,k1_zfmisc_1(u1_struct_0(X344)))
| ~ l1_pre_topc(X344) )
& ( m1_subset_1(esk6_2(X344,X345),k1_zfmisc_1(u1_struct_0(X344)))
| ~ v1_tsp_1(X345,X344)
| v1_tsp_2(X345,X344)
| ~ m1_subset_1(X345,k1_zfmisc_1(u1_struct_0(X344)))
| ~ l1_pre_topc(X344) )
& ( v1_tsp_1(esk6_2(X344,X345),X344)
| ~ v1_tsp_1(X345,X344)
| v1_tsp_2(X345,X344)
| ~ m1_subset_1(X345,k1_zfmisc_1(u1_struct_0(X344)))
| ~ l1_pre_topc(X344) )
& ( r1_tarski(X345,esk6_2(X344,X345))
| ~ v1_tsp_1(X345,X344)
| v1_tsp_2(X345,X344)
| ~ m1_subset_1(X345,k1_zfmisc_1(u1_struct_0(X344)))
| ~ l1_pre_topc(X344) )
& ( X345 != esk6_2(X344,X345)
| ~ v1_tsp_1(X345,X344)
| v1_tsp_2(X345,X344)
| ~ m1_subset_1(X345,k1_zfmisc_1(u1_struct_0(X344)))
| ~ l1_pre_topc(X344) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_tsp_2])])])])]) ).
cnf(c_0_59,plain,
( v1_tsp_2(X3,X2)
| v3_struct_0(X2)
| ~ v2_tsp_2(X1,X2)
| X3 != u1_struct_0(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_60,plain,
! [X476,X477,X478] :
( ~ r2_hidden(X476,X477)
| ~ m1_subset_1(X477,k1_zfmisc_1(X478))
| m1_subset_1(X476,X478) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(c_0_61,plain,
! [X472,X473] :
( ~ m1_subset_1(X472,X473)
| v1_xboole_0(X473)
| r2_hidden(X472,X473) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_62,plain,
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2)
| ~ m1_subset_1(X4,X1)
| ~ m2_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2)
| ~ v1_funct_1(X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_63,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_64,negated_conjecture,
l1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_35,c_0_46]) ).
fof(c_0_65,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k4_tex_4(X1,X2) = k2_tex_4(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k4_tex_4]) ).
fof(c_0_66,plain,
! [X352,X353] :
( ( ~ v1_xboole_0(k4_tex_4(X352,X353))
| v3_struct_0(X352)
| ~ v2_pre_topc(X352)
| ~ l1_pre_topc(X352)
| ~ m1_subset_1(X353,u1_struct_0(X352)) )
& ( m1_subset_1(k4_tex_4(X352,X353),k1_zfmisc_1(u1_struct_0(X352)))
| v3_struct_0(X352)
| ~ v2_pre_topc(X352)
| ~ l1_pre_topc(X352)
| ~ m1_subset_1(X353,u1_struct_0(X352)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).
cnf(c_0_67,negated_conjecture,
( v5_pre_topc(X1,esk1_0,esk2_0)
| m1_subset_1(esk26_4(esk1_0,esk2_0,X1,u1_struct_0(esk2_0)),u1_struct_0(esk1_0))
| ~ m2_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_29]),c_0_50]),c_0_30]),c_0_51])]),c_0_45]),c_0_52]) ).
cnf(c_0_68,negated_conjecture,
~ v5_pre_topc(esk3_0,esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56])]) ).
fof(c_0_69,plain,
! [X334,X335,X336] :
( ( ~ v1_tsp_1(X335,X334)
| ~ m1_subset_1(X336,u1_struct_0(X334))
| ~ r2_hidden(X336,X335)
| k5_subset_1(u1_struct_0(X334),X335,k4_tex_4(X334,X336)) = k1_struct_0(X334,X336)
| ~ m1_subset_1(X335,k1_zfmisc_1(u1_struct_0(X334)))
| v3_struct_0(X334)
| ~ v2_pre_topc(X334)
| ~ l1_pre_topc(X334) )
& ( m1_subset_1(esk4_2(X334,X335),u1_struct_0(X334))
| v1_tsp_1(X335,X334)
| ~ m1_subset_1(X335,k1_zfmisc_1(u1_struct_0(X334)))
| v3_struct_0(X334)
| ~ v2_pre_topc(X334)
| ~ l1_pre_topc(X334) )
& ( r2_hidden(esk4_2(X334,X335),X335)
| v1_tsp_1(X335,X334)
| ~ m1_subset_1(X335,k1_zfmisc_1(u1_struct_0(X334)))
| v3_struct_0(X334)
| ~ v2_pre_topc(X334)
| ~ l1_pre_topc(X334) )
& ( k5_subset_1(u1_struct_0(X334),X335,k4_tex_4(X334,esk4_2(X334,X335))) != k1_struct_0(X334,esk4_2(X334,X335))
| v1_tsp_1(X335,X334)
| ~ m1_subset_1(X335,k1_zfmisc_1(u1_struct_0(X334)))
| v3_struct_0(X334)
| ~ v2_pre_topc(X334)
| ~ l1_pre_topc(X334) ) ),
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_57])])])])]) ).
cnf(c_0_70,plain,
( v1_tsp_1(X1,X2)
| ~ v1_tsp_2(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_71,plain,
( v1_tsp_2(u1_struct_0(X1),X2)
| v3_struct_0(X2)
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_tsp_1(X1,X2)
| ~ v2_tsp_2(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_72,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_60]) ).
cnf(c_0_73,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_74,negated_conjecture,
( m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_56]),c_0_55]),c_0_54])]),c_0_63]) ).
cnf(c_0_75,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_64]),c_0_52]) ).
fof(c_0_76,plain,
! [X441,X442] :
( v3_struct_0(X441)
| ~ v2_pre_topc(X441)
| ~ l1_pre_topc(X441)
| ~ m1_subset_1(X442,u1_struct_0(X441))
| k4_tex_4(X441,X442) = k2_tex_4(X441,X442) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])]) ).
cnf(c_0_77,plain,
( m1_subset_1(k4_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_78,negated_conjecture,
m1_subset_1(esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_56]),c_0_55]),c_0_54])]),c_0_68]) ).
fof(c_0_79,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k1_struct_0(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_struct_0]) ).
cnf(c_0_80,plain,
( k5_subset_1(u1_struct_0(X2),X1,k4_tex_4(X2,X3)) = k1_struct_0(X2,X3)
| v3_struct_0(X2)
| ~ v1_tsp_1(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ r2_hidden(X3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_81,negated_conjecture,
( v1_tsp_1(u1_struct_0(esk2_0),esk1_0)
| ~ v1_tsp_2(u1_struct_0(esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_49]),c_0_30])]) ).
cnf(c_0_82,negated_conjecture,
v1_tsp_2(u1_struct_0(esk2_0),esk1_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_71,c_0_49]),c_0_29]),c_0_50]),c_0_30])]),c_0_45]) ).
cnf(c_0_83,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_72,c_0_49]) ).
cnf(c_0_84,negated_conjecture,
( r2_hidden(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
fof(c_0_85,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k2_tex_4(X1,X2))
<=> k2_tex_4(X1,X3) = k2_tex_4(X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[t23_tex_4]) ).
cnf(c_0_86,plain,
( v3_struct_0(X1)
| k4_tex_4(X1,X2) = k2_tex_4(X1,X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_87,negated_conjecture,
m1_subset_1(k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_30]),c_0_51])]),c_0_45]) ).
cnf(c_0_88,plain,
( v5_pre_topc(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| k5_subset_1(u1_struct_0(X2),X4,k4_tex_4(X2,esk26_4(X2,X3,X1,X4))) != k1_struct_0(X3,k8_funct_2(u1_struct_0(X2),u1_struct_0(X3),X1,esk26_4(X2,X3,X1,X4)))
| X4 != u1_struct_0(X3)
| ~ 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))
| ~ v2_tsp_2(X3,X2)
| ~ m2_tsp_1(X3,X2)
| ~ v2_pre_topc(X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_89,plain,
! [X439,X440] :
( v3_struct_0(X439)
| ~ l1_struct_0(X439)
| ~ m1_subset_1(X440,u1_struct_0(X439))
| k1_struct_0(X439,X440) = k1_tarski(X440) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])]) ).
cnf(c_0_90,plain,
( k5_subset_1(u1_struct_0(X1),X2,k4_tex_4(X1,X3)) = k1_struct_0(X1,X3)
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[c_0_80,c_0_72]) ).
cnf(c_0_91,negated_conjecture,
v1_tsp_1(u1_struct_0(esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]) ).
cnf(c_0_92,negated_conjecture,
( m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
fof(c_0_93,plain,
! [X468,X469,X470] :
( ( ~ r2_hidden(X470,k2_tex_4(X468,X469))
| k2_tex_4(X468,X470) = k2_tex_4(X468,X469)
| ~ m1_subset_1(X470,u1_struct_0(X468))
| ~ m1_subset_1(X469,u1_struct_0(X468))
| v3_struct_0(X468)
| ~ l1_pre_topc(X468) )
& ( k2_tex_4(X468,X470) != k2_tex_4(X468,X469)
| r2_hidden(X470,k2_tex_4(X468,X469))
| ~ m1_subset_1(X470,u1_struct_0(X468))
| ~ m1_subset_1(X469,u1_struct_0(X468))
| v3_struct_0(X468)
| ~ l1_pre_topc(X468) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])])]) ).
cnf(c_0_94,negated_conjecture,
( r2_hidden(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1),k4_tex_4(esk1_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_95,negated_conjecture,
k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))) = k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_78]),c_0_30]),c_0_51])]),c_0_45]) ).
cnf(c_0_96,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_72,c_0_87]) ).
cnf(c_0_97,plain,
( v5_pre_topc(X1,X2,X3)
| v3_struct_0(X3)
| v3_struct_0(X2)
| k5_subset_1(u1_struct_0(X2),u1_struct_0(X3),k4_tex_4(X2,esk26_4(X2,X3,X1,u1_struct_0(X3)))) != k1_struct_0(X3,k8_funct_2(u1_struct_0(X2),u1_struct_0(X3),X1,esk26_4(X2,X3,X1,u1_struct_0(X3))))
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X2)))
| ~ 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)
| ~ m2_tsp_1(X3,X2)
| ~ v2_tsp_2(X3,X2)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(er,[status(thm)],[c_0_88]) ).
cnf(c_0_98,plain,
( v3_struct_0(X1)
| k1_struct_0(X1,X2) = k1_tarski(X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_99,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k4_tex_4(esk1_0,X1)) = k1_struct_0(esk1_0,X1)
| ~ r2_hidden(X1,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_90,c_0_49]),c_0_91]),c_0_30]),c_0_51])]),c_0_45]) ).
cnf(c_0_100,negated_conjecture,
( k4_tex_4(esk1_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1)) = k2_tex_4(esk1_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_92]),c_0_30]),c_0_51])]),c_0_45]) ).
cnf(c_0_101,plain,
( k2_tex_4(X2,X1) = k2_tex_4(X2,X3)
| v3_struct_0(X2)
| ~ r2_hidden(X1,k2_tex_4(X2,X3))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_102,negated_conjecture,
r2_hidden(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_78])]) ).
cnf(c_0_103,negated_conjecture,
m1_subset_1(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0))),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_94]),c_0_78])]) ).
cnf(c_0_104,negated_conjecture,
( v5_pre_topc(X1,esk1_0,esk2_0)
| k1_struct_0(esk2_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),X1,esk26_4(esk1_0,esk2_0,X1,u1_struct_0(esk2_0)))) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k4_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,X1,u1_struct_0(esk2_0))))
| ~ m2_relset_1(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_2(X1,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| ~ v1_funct_1(X1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_49]),c_0_29]),c_0_50]),c_0_30]),c_0_51])]),c_0_45]),c_0_52]) ).
cnf(c_0_105,negated_conjecture,
( k1_struct_0(esk2_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1)) = k1_tarski(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_74]),c_0_64])]),c_0_52]) ).
cnf(c_0_106,negated_conjecture,
( k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k2_tex_4(esk1_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1))) = k1_struct_0(esk1_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,X1))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_84]) ).
cnf(c_0_107,negated_conjecture,
k2_tex_4(esk1_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_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_101,c_0_102]),c_0_78]),c_0_103]),c_0_30])]),c_0_45]) ).
cnf(c_0_108,negated_conjecture,
k1_struct_0(esk1_0,k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) = k1_tarski(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_103]),c_0_44])]),c_0_45]) ).
cnf(c_0_109,negated_conjecture,
k1_tarski(k8_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,esk26_4(esk1_0,esk2_0,esk3_0,u1_struct_0(esk2_0)))) != k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k2_tex_4(esk1_0,esk26_4(esk1_0,esk2_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_95]),c_0_56]),c_0_55]),c_0_54]),c_0_78])]),c_0_68]) ).
cnf(c_0_110,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_78])]),c_0_109]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : TOP032+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n007.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 09:55:54 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 113.20/81.35 % Version : CSE_E---1.7
% 113.20/81.35 % Problem : theBenchmark.p
% 113.20/81.35 % SZS status Theorem for theBenchmark.p
% 113.20/81.35 % SZS output start CNFRefutation
% See solution above
% 113.50/81.60 % Total time : 71.847s
%------------------------------------------------------------------------------