%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP041+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 : n028.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 05:56:42 PM UTC 2026
% Result : Theorem 3.96s 3.17s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 91 ( 30 unt; 0 def)
% Number of atoms : 547 ( 44 equ)
% Maximal formula atoms : 63 ( 6 avg)
% Number of connectives : 730 ( 274 ~; 297 |; 106 &)
% ( 7 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 153 ( 1 sgn 99 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t34_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] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X3,X1)
=> v3_pre_topc(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_tsp_2) ).
fof(d12_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))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X3 = k4_tsp_2(X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X4 = u1_struct_0(X2)
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> k5_subset_1(u1_struct_0(X1),X4,k3_tex_4(X1,X5)) = k4_pre_topc(X1,X2,X3,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_tsp_2) ).
fof(t58_tex_4,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)))
=> ( v3_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_tex_4) ).
fof(redefinition_k4_tsp_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> k4_tsp_2(X1,X2) = k1_tsp_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_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/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(dt_k4_tsp_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k4_tsp_2(X1,X2))
& v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k4_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(dt_k1_tsp_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k1_tsp_2(X1,X2))
& v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
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/sandbox/benchmark/theBenchmark.p',t1_tsep_1) ).
fof(dt_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
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_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(d1_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ( m1_tsp_1(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v3_pre_topc(X3,X2)
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X4,X1)
& X3 = k3_xboole_0(X4,u1_struct_0(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tsp_1) ).
fof(dt_m1_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_tsp_1(X2,X1)
=> l1_pre_topc(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_tsp_1) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(redefinition_m1_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_tsp_1) ).
fof(c_0_17,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] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_pre_topc(X3,X1)
=> v3_pre_topc(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t34_tsp_2])]) ).
fof(c_0_18,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))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X3 = k4_tsp_2(X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X4 = u1_struct_0(X2)
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> k5_subset_1(u1_struct_0(X1),X4,k3_tex_4(X1,X5)) = k4_pre_topc(X1,X2,X3,X5) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d12_tsp_2]) ).
fof(c_0_19,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)))
=> ( v3_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[t58_tex_4]) ).
fof(c_0_20,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> k4_tsp_2(X1,X2) = k1_tsp_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k4_tsp_2]) ).
fof(c_0_21,plain,
! [X439,X440] :
( ( ~ m2_tsp_1(X440,X439)
| m1_pre_topc(X440,X439)
| ~ l1_pre_topc(X439) )
& ( ~ m1_pre_topc(X440,X439)
| m2_tsp_1(X440,X439)
| ~ l1_pre_topc(X439) ) ),
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_22,negated_conjecture,
( ~ 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)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v3_pre_topc(esk3_0,esk1_0)
& ~ v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_23,plain,
! [X321,X322,X323,X324,X325] :
( ( X323 != k4_tsp_2(X321,X322)
| ~ m1_subset_1(X324,k1_zfmisc_1(u1_struct_0(X321)))
| X324 != u1_struct_0(X322)
| ~ m1_subset_1(X325,k1_zfmisc_1(u1_struct_0(X321)))
| k5_subset_1(u1_struct_0(X321),X324,k3_tex_4(X321,X325)) = k4_pre_topc(X321,X322,X323,X325)
| ~ v1_funct_1(X323)
| ~ v1_funct_2(X323,u1_struct_0(X321),u1_struct_0(X322))
| ~ v5_pre_topc(X323,X321,X322)
| ~ m2_relset_1(X323,u1_struct_0(X321),u1_struct_0(X322))
| v3_struct_0(X322)
| ~ v2_tsp_2(X322,X321)
| ~ m2_tsp_1(X322,X321)
| v3_struct_0(X321)
| ~ v2_pre_topc(X321)
| ~ l1_pre_topc(X321) )
& ( m1_subset_1(esk4_3(X321,X322,X323),k1_zfmisc_1(u1_struct_0(X321)))
| X323 = k4_tsp_2(X321,X322)
| ~ v1_funct_1(X323)
| ~ v1_funct_2(X323,u1_struct_0(X321),u1_struct_0(X322))
| ~ v5_pre_topc(X323,X321,X322)
| ~ m2_relset_1(X323,u1_struct_0(X321),u1_struct_0(X322))
| v3_struct_0(X322)
| ~ v2_tsp_2(X322,X321)
| ~ m2_tsp_1(X322,X321)
| v3_struct_0(X321)
| ~ v2_pre_topc(X321)
| ~ l1_pre_topc(X321) )
& ( esk4_3(X321,X322,X323) = u1_struct_0(X322)
| X323 = k4_tsp_2(X321,X322)
| ~ v1_funct_1(X323)
| ~ v1_funct_2(X323,u1_struct_0(X321),u1_struct_0(X322))
| ~ v5_pre_topc(X323,X321,X322)
| ~ m2_relset_1(X323,u1_struct_0(X321),u1_struct_0(X322))
| v3_struct_0(X322)
| ~ v2_tsp_2(X322,X321)
| ~ m2_tsp_1(X322,X321)
| v3_struct_0(X321)
| ~ v2_pre_topc(X321)
| ~ l1_pre_topc(X321) )
& ( m1_subset_1(esk5_3(X321,X322,X323),k1_zfmisc_1(u1_struct_0(X321)))
| X323 = k4_tsp_2(X321,X322)
| ~ v1_funct_1(X323)
| ~ v1_funct_2(X323,u1_struct_0(X321),u1_struct_0(X322))
| ~ v5_pre_topc(X323,X321,X322)
| ~ m2_relset_1(X323,u1_struct_0(X321),u1_struct_0(X322))
| v3_struct_0(X322)
| ~ v2_tsp_2(X322,X321)
| ~ m2_tsp_1(X322,X321)
| v3_struct_0(X321)
| ~ v2_pre_topc(X321)
| ~ l1_pre_topc(X321) )
& ( k5_subset_1(u1_struct_0(X321),esk4_3(X321,X322,X323),k3_tex_4(X321,esk5_3(X321,X322,X323))) != k4_pre_topc(X321,X322,X323,esk5_3(X321,X322,X323))
| X323 = k4_tsp_2(X321,X322)
| ~ v1_funct_1(X323)
| ~ v1_funct_2(X323,u1_struct_0(X321),u1_struct_0(X322))
| ~ v5_pre_topc(X323,X321,X322)
| ~ m2_relset_1(X323,u1_struct_0(X321),u1_struct_0(X322))
| v3_struct_0(X322)
| ~ v2_tsp_2(X322,X321)
| ~ m2_tsp_1(X322,X321)
| v3_struct_0(X321)
| ~ v2_pre_topc(X321)
| ~ l1_pre_topc(X321) ) ),
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_18])])])])]) ).
fof(c_0_24,plain,
! [X454,X455] :
( v3_struct_0(X454)
| ~ v2_pre_topc(X454)
| ~ l1_pre_topc(X454)
| ~ m1_subset_1(X455,k1_zfmisc_1(u1_struct_0(X454)))
| ~ v3_pre_topc(X455,X454)
| k3_tex_4(X454,X455) = X455 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_25,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k4_tsp_2(X1,X2))
& v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k4_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_tsp_2]) ).
fof(c_0_26,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1)
& ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m1_pre_topc(X2,X1) )
=> ( v1_funct_1(k1_tsp_2(X1,X2))
& v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
& m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_tsp_2]) ).
fof(c_0_27,plain,
! [X429,X430] :
( v3_struct_0(X429)
| ~ v2_pre_topc(X429)
| ~ l1_pre_topc(X429)
| v3_struct_0(X430)
| ~ v2_tsp_2(X430,X429)
| ~ m1_pre_topc(X430,X429)
| k4_tsp_2(X429,X430) = k1_tsp_2(X429,X430) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
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_21]) ).
cnf(c_0_29,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( k5_subset_1(u1_struct_0(X2),X4,k3_tex_4(X2,X5)) = k4_pre_topc(X2,X3,X1,X5)
| v3_struct_0(X3)
| v3_struct_0(X2)
| X1 != k4_tsp_2(X2,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| X4 != u1_struct_0(X3)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v5_pre_topc(X1,X2,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_23]) ).
cnf(c_0_32,plain,
( v3_struct_0(X1)
| k3_tex_4(X1,X2) = X2
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,negated_conjecture,
v3_pre_topc(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_37,plain,
! [X344,X345] :
( ( v1_funct_1(k4_tsp_2(X344,X345))
| v3_struct_0(X344)
| ~ v2_pre_topc(X344)
| ~ l1_pre_topc(X344)
| v3_struct_0(X345)
| ~ v2_tsp_2(X345,X344)
| ~ m1_pre_topc(X345,X344) )
& ( v1_funct_2(k4_tsp_2(X344,X345),u1_struct_0(X344),u1_struct_0(X345))
| v3_struct_0(X344)
| ~ v2_pre_topc(X344)
| ~ l1_pre_topc(X344)
| v3_struct_0(X345)
| ~ v2_tsp_2(X345,X344)
| ~ m1_pre_topc(X345,X344) )
& ( v5_pre_topc(k4_tsp_2(X344,X345),X344,X345)
| v3_struct_0(X344)
| ~ v2_pre_topc(X344)
| ~ l1_pre_topc(X344)
| v3_struct_0(X345)
| ~ v2_tsp_2(X345,X344)
| ~ m1_pre_topc(X345,X344) )
& ( m2_relset_1(k4_tsp_2(X344,X345),u1_struct_0(X344),u1_struct_0(X345))
| v3_struct_0(X344)
| ~ v2_pre_topc(X344)
| ~ l1_pre_topc(X344)
| v3_struct_0(X345)
| ~ v2_tsp_2(X345,X344)
| ~ m1_pre_topc(X345,X344) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_38,plain,
! [X336,X337] :
( ( v1_funct_1(k1_tsp_2(X336,X337))
| v3_struct_0(X336)
| ~ v2_pre_topc(X336)
| ~ l1_pre_topc(X336)
| v3_struct_0(X337)
| ~ v2_tsp_2(X337,X336)
| ~ m1_pre_topc(X337,X336) )
& ( v1_funct_2(k1_tsp_2(X336,X337),u1_struct_0(X336),u1_struct_0(X337))
| v3_struct_0(X336)
| ~ v2_pre_topc(X336)
| ~ l1_pre_topc(X336)
| v3_struct_0(X337)
| ~ v2_tsp_2(X337,X336)
| ~ m1_pre_topc(X337,X336) )
& ( v5_pre_topc(k1_tsp_2(X336,X337),X336,X337)
| v3_struct_0(X336)
| ~ v2_pre_topc(X336)
| ~ l1_pre_topc(X336)
| v3_struct_0(X337)
| ~ v2_tsp_2(X337,X336)
| ~ m1_pre_topc(X337,X336) )
& ( m2_relset_1(k1_tsp_2(X336,X337),u1_struct_0(X336),u1_struct_0(X337))
| v3_struct_0(X336)
| ~ v2_pre_topc(X336)
| ~ l1_pre_topc(X336)
| v3_struct_0(X337)
| ~ v2_tsp_2(X337,X336)
| ~ m1_pre_topc(X337,X336) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
cnf(c_0_39,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k4_tsp_2(X1,X2) = k1_tsp_2(X1,X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,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])]) ).
cnf(c_0_41,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_42,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_43,plain,
! [X444,X445] :
( ~ l1_pre_topc(X444)
| ~ m1_pre_topc(X445,X444)
| m1_subset_1(u1_struct_0(X445),k1_zfmisc_1(u1_struct_0(X444))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_tsep_1])])]) ).
fof(c_0_44,plain,
! [X357,X358] :
( ~ l1_pre_topc(X357)
| ~ m2_tsp_1(X358,X357)
| l1_pre_topc(X358) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])]) ).
cnf(c_0_45,plain,
( k5_subset_1(u1_struct_0(X1),u1_struct_0(X2),k3_tex_4(X1,X3)) = k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(k4_tsp_2(X1,X2),X1,X2)
| ~ v1_funct_2(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k4_tsp_2(X1,X2))
| ~ m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_31])]) ).
cnf(c_0_46,negated_conjecture,
k3_tex_4(esk1_0,esk3_0) = esk3_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_32,c_0_33]),c_0_34]),c_0_30]),c_0_35])]),c_0_36]) ).
cnf(c_0_47,plain,
( m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,plain,
( v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,negated_conjecture,
k1_tsp_2(esk1_0,esk2_0) = k4_tsp_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_30]),c_0_35])]),c_0_42]),c_0_36]) ).
cnf(c_0_50,plain,
( v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,plain,
( v1_funct_1(k4_tsp_2(X1,X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_52,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_43]) ).
fof(c_0_53,plain,
! [X349] :
( ~ l1_pre_topc(X349)
| l1_struct_0(X349) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
cnf(c_0_54,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_55,plain,
! [X340,X341,X342,X343] :
( ~ l1_struct_0(X340)
| ~ l1_struct_0(X341)
| ~ v1_funct_1(X342)
| ~ v1_funct_2(X342,u1_struct_0(X340),u1_struct_0(X341))
| ~ m1_relset_1(X342,u1_struct_0(X340),u1_struct_0(X341))
| m1_subset_1(k4_pre_topc(X340,X341,X342,X343),k1_zfmisc_1(u1_struct_0(X341))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])]) ).
cnf(c_0_56,negated_conjecture,
( k4_pre_topc(esk1_0,X1,k4_tsp_2(esk1_0,X1),esk3_0) = k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(X1),esk3_0)
| v3_struct_0(X1)
| ~ m2_relset_1(k4_tsp_2(esk1_0,X1),u1_struct_0(esk1_0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(esk1_0,X1),esk1_0,X1)
| ~ v1_funct_2(k4_tsp_2(esk1_0,X1),u1_struct_0(esk1_0),u1_struct_0(X1))
| ~ v1_funct_1(k4_tsp_2(esk1_0,X1))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m2_tsp_1(X1,esk1_0)
| ~ v2_tsp_2(X1,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_45,c_0_46]),c_0_33]),c_0_30]),c_0_35])]),c_0_36]) ).
cnf(c_0_57,negated_conjecture,
m2_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_40]),c_0_41]),c_0_30]),c_0_35])]),c_0_42]),c_0_36]) ).
cnf(c_0_58,negated_conjecture,
v5_pre_topc(k4_tsp_2(esk1_0,esk2_0),esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_40]),c_0_49]),c_0_41]),c_0_30]),c_0_35])]),c_0_42]),c_0_36]) ).
cnf(c_0_59,negated_conjecture,
v1_funct_2(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_40]),c_0_49]),c_0_41]),c_0_30]),c_0_35])]),c_0_42]),c_0_36]) ).
cnf(c_0_60,negated_conjecture,
v1_funct_1(k4_tsp_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_40]),c_0_41]),c_0_30]),c_0_35])]),c_0_42]),c_0_36]) ).
cnf(c_0_61,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_52,c_0_40]),c_0_30])]) ).
cnf(c_0_62,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_29]),c_0_30])]) ).
cnf(c_0_64,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_55]) ).
cnf(c_0_65,negated_conjecture,
k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0) = k5_subset_1(u1_struct_0(esk1_0),u1_struct_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_29]),c_0_41])]),c_0_42]) ).
cnf(c_0_66,negated_conjecture,
l1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_62,c_0_30]) ).
fof(c_0_68,plain,
! [X436,X437,X438] :
( ( ~ m2_relset_1(X438,X436,X437)
| m1_relset_1(X438,X436,X437) )
& ( ~ m1_relset_1(X438,X436,X437)
| m2_relset_1(X438,X436,X437) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_69,plain,
! [X328,X329,X330,X332,X334] :
( ( r1_tarski(u1_struct_0(X329),u1_struct_0(X328))
| ~ m1_tsp_1(X329,X328)
| ~ l1_pre_topc(X329)
| ~ l1_pre_topc(X328) )
& ( m1_subset_1(esk6_3(X328,X329,X330),k1_zfmisc_1(u1_struct_0(X328)))
| ~ v3_pre_topc(X330,X329)
| ~ m1_subset_1(X330,k1_zfmisc_1(u1_struct_0(X329)))
| ~ m1_tsp_1(X329,X328)
| ~ l1_pre_topc(X329)
| ~ l1_pre_topc(X328) )
& ( v3_pre_topc(esk6_3(X328,X329,X330),X328)
| ~ v3_pre_topc(X330,X329)
| ~ m1_subset_1(X330,k1_zfmisc_1(u1_struct_0(X329)))
| ~ m1_tsp_1(X329,X328)
| ~ l1_pre_topc(X329)
| ~ l1_pre_topc(X328) )
& ( X330 = k3_xboole_0(esk6_3(X328,X329,X330),u1_struct_0(X329))
| ~ v3_pre_topc(X330,X329)
| ~ m1_subset_1(X330,k1_zfmisc_1(u1_struct_0(X329)))
| ~ m1_tsp_1(X329,X328)
| ~ l1_pre_topc(X329)
| ~ l1_pre_topc(X328) )
& ( ~ m1_subset_1(X332,k1_zfmisc_1(u1_struct_0(X328)))
| ~ v3_pre_topc(X332,X328)
| X330 != k3_xboole_0(X332,u1_struct_0(X329))
| v3_pre_topc(X330,X329)
| ~ m1_subset_1(X330,k1_zfmisc_1(u1_struct_0(X329)))
| ~ m1_tsp_1(X329,X328)
| ~ l1_pre_topc(X329)
| ~ l1_pre_topc(X328) )
& ( m1_subset_1(esk7_2(X328,X329),k1_zfmisc_1(u1_struct_0(X329)))
| ~ r1_tarski(u1_struct_0(X329),u1_struct_0(X328))
| m1_tsp_1(X329,X328)
| ~ l1_pre_topc(X329)
| ~ l1_pre_topc(X328) )
& ( ~ v3_pre_topc(esk7_2(X328,X329),X329)
| ~ m1_subset_1(X334,k1_zfmisc_1(u1_struct_0(X328)))
| ~ v3_pre_topc(X334,X328)
| esk7_2(X328,X329) != k3_xboole_0(X334,u1_struct_0(X329))
| ~ r1_tarski(u1_struct_0(X329),u1_struct_0(X328))
| m1_tsp_1(X329,X328)
| ~ l1_pre_topc(X329)
| ~ l1_pre_topc(X328) )
& ( m1_subset_1(esk8_2(X328,X329),k1_zfmisc_1(u1_struct_0(X328)))
| v3_pre_topc(esk7_2(X328,X329),X329)
| ~ r1_tarski(u1_struct_0(X329),u1_struct_0(X328))
| m1_tsp_1(X329,X328)
| ~ l1_pre_topc(X329)
| ~ l1_pre_topc(X328) )
& ( v3_pre_topc(esk8_2(X328,X329),X328)
| v3_pre_topc(esk7_2(X328,X329),X329)
| ~ r1_tarski(u1_struct_0(X329),u1_struct_0(X328))
| m1_tsp_1(X329,X328)
| ~ l1_pre_topc(X329)
| ~ l1_pre_topc(X328) )
& ( esk7_2(X328,X329) = k3_xboole_0(esk8_2(X328,X329),u1_struct_0(X329))
| v3_pre_topc(esk7_2(X328,X329),X329)
| ~ r1_tarski(u1_struct_0(X329),u1_struct_0(X328))
| m1_tsp_1(X329,X328)
| ~ l1_pre_topc(X329)
| ~ l1_pre_topc(X328) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tsp_1])])])])]) ).
fof(c_0_70,plain,
! [X352,X353] :
( ~ l1_pre_topc(X352)
| ~ m1_tsp_1(X353,X352)
| l1_pre_topc(X353) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_tsp_1])])]) ).
cnf(c_0_71,negated_conjecture,
( m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_67]),c_0_59]),c_0_60])]) ).
cnf(c_0_72,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_73,plain,
! [X431,X432,X433] :
( ~ m1_subset_1(X432,k1_zfmisc_1(X431))
| ~ m1_subset_1(X433,k1_zfmisc_1(X431))
| k5_subset_1(X431,X432,X433) = k3_xboole_0(X432,X433) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
fof(c_0_74,plain,
! [X316,X317] : k3_xboole_0(X316,X317) = k3_xboole_0(X317,X316),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_75,negated_conjecture,
~ v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_76,negated_conjecture,
( k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),X1) = k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61]),c_0_29]),c_0_41]),c_0_30]),c_0_35])]),c_0_36]),c_0_42]) ).
cnf(c_0_77,plain,
( v3_pre_topc(X3,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_pre_topc(X1,X2)
| X3 != k3_xboole_0(X1,u1_struct_0(X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4)))
| ~ m1_tsp_1(X4,X2)
| ~ l1_pre_topc(X4)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m1_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,negated_conjecture,
m1_subset_1(k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_57])]) ).
cnf(c_0_80,plain,
( k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_81,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,negated_conjecture,
~ v3_pre_topc(k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0),esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_46]),c_0_33])]) ).
fof(c_0_83,plain,
! [X434,X435] :
( ( ~ m1_tsp_1(X435,X434)
| m1_pre_topc(X435,X434)
| ~ l1_pre_topc(X434) )
& ( ~ m1_pre_topc(X435,X434)
| m1_tsp_1(X435,X434)
| ~ l1_pre_topc(X434) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m1_tsp_1])])])]) ).
cnf(c_0_84,plain,
( v3_pre_topc(k3_xboole_0(X1,u1_struct_0(X2)),X2)
| ~ m1_tsp_1(X2,X3)
| ~ v3_pre_topc(X1,X3)
| ~ m1_subset_1(k3_xboole_0(X1,u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l1_pre_topc(X3) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_85,negated_conjecture,
m1_subset_1(k3_xboole_0(esk3_0,u1_struct_0(esk2_0)),k1_zfmisc_1(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_79,c_0_80]),c_0_81]),c_0_33]),c_0_61])]) ).
cnf(c_0_86,negated_conjecture,
~ v3_pre_topc(k3_xboole_0(esk3_0,u1_struct_0(esk2_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_82,c_0_80]),c_0_81]),c_0_33]),c_0_61])]) ).
cnf(c_0_87,plain,
( m1_tsp_1(X1,X2)
| ~ m1_pre_topc(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( ~ m1_tsp_1(esk2_0,X1)
| ~ v3_pre_topc(esk3_0,X1)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_89,negated_conjecture,
m1_tsp_1(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_40]),c_0_30])]) ).
cnf(c_0_90,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_88,c_0_89]),c_0_34]),c_0_33]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : TOP041+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n028.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 10:01:30 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.96/3.17 % Version : CSE_E---1.7
% 3.96/3.17 % Problem : theBenchmark.p
% 3.96/3.17 % SZS status Theorem for theBenchmark.p
% 3.96/3.17 % SZS output start CNFRefutation
% See solution above
% 3.96/3.18 % Total time : 2.376s
%------------------------------------------------------------------------------