%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : TOP041+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 : n001.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 03:53:57 PM UTC 2026
% Result : Theorem 6.44s 1.37s
% Output : CNFRefutation 6.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 91 ( 29 unt; 0 def)
% Number of atoms : 548 ( 43 equ)
% Maximal formula atoms : 63 ( 6 avg)
% Number of connectives : 728 ( 271 ~; 290 |; 110 &)
% ( 7 <=>; 50 =>; 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 : 155 ( 1 sgn 102 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t34_tsp_2,conjecture,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [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/sandbox2/benchmark/theBenchmark.p',t34_tsp_2) ).
fof(redefinition_k4_tsp_2,axiom,
! [X1,X2] :
( ( m1_pre_topc(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2)
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> k4_tsp_2(X1,X2) = k1_tsp_2(X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(d12_tsp_2,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( 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/sandbox2/benchmark/theBenchmark.p',d12_tsp_2) ).
fof(dt_k4_tsp_2,axiom,
! [X1,X2] :
( ( m1_pre_topc(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2)
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ 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)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(dt_k1_tsp_2,axiom,
! [X1,X2] :
( ( m1_pre_topc(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2)
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
& v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(k1_tsp_2(X1,X2)) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t1_tsep_1) ).
fof(t58_tex_4,axiom,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(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/sandbox2/benchmark/theBenchmark.p',t58_tex_4) ).
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(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_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(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(d1_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ( m1_tsp_1(X2,X1)
<=> ( ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( v3_pre_topc(X3,X2)
<=> ? [X4] :
( X3 = k3_xboole_0(X4,u1_struct_0(X2))
& v3_pre_topc(X4,X1)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1))) ) ) )
& r1_tarski(u1_struct_0(X2),u1_struct_0(X1)) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_m1_tsp_1) ).
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(redefinition_m1_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_tsp_1) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [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(assume_negation,[status(cth)],[t34_tsp_2]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [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)],[c_0_17]) ).
fof(c_0_19,plain,
! [X1,X2] :
( ( m1_pre_topc(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2)
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> k4_tsp_2(X1,X2) = k1_tsp_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k4_tsp_2]) ).
fof(c_0_20,plain,
! [X212,X213] :
( ( ~ l1_pre_topc(X212)
| m2_tsp_1(X213,X212)
| ~ m1_pre_topc(X213,X212) )
& ( ~ l1_pre_topc(X212)
| m1_pre_topc(X213,X212)
| ~ m2_tsp_1(X213,X212) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
( ~ v3_pre_topc(k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),esk3_0),esk2_0)
& v3_pre_topc(esk3_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& m2_tsp_1(esk2_0,esk1_0)
& v2_tsp_2(esk2_0,esk1_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_18])])])]) ).
fof(c_0_22,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_tsp_1(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( ( m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(X3) )
=> ( 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_23,plain,
! [X1,X2] :
( ( m1_pre_topc(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2)
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ 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)) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_tsp_2]) ).
fof(c_0_24,plain,
! [X1,X2] :
( ( m1_pre_topc(X2,X1)
& v2_tsp_2(X2,X1)
& ~ v3_struct_0(X2)
& l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(X1) )
=> ( m2_relset_1(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(k1_tsp_2(X1,X2),X1,X2)
& v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
& v1_funct_1(k1_tsp_2(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_tsp_2]) ).
fof(c_0_25,plain,
! [X202,X203] :
( k4_tsp_2(X202,X203) = k1_tsp_2(X202,X203)
| ~ m1_pre_topc(X203,X202)
| ~ v2_tsp_2(X203,X202)
| v3_struct_0(X203)
| ~ l1_pre_topc(X202)
| ~ v2_pre_topc(X202)
| v3_struct_0(X202) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_26,plain,
( ~ l1_pre_topc(X2)
| ~ m2_tsp_1(X1,X2)
| m1_pre_topc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_29,plain,
! [X94,X95,X96,X97,X98] :
( ( ~ l1_pre_topc(X94)
| ~ v2_pre_topc(X94)
| v3_struct_0(X94)
| ~ m2_tsp_1(X95,X94)
| ~ v2_tsp_2(X95,X94)
| v3_struct_0(X95)
| ~ m2_relset_1(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v5_pre_topc(X96,X94,X95)
| ~ v1_funct_2(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v1_funct_1(X96)
| X96 = k4_tsp_2(X94,X95)
| k5_subset_1(u1_struct_0(X94),esk4_3(X94,X95,X96),k3_tex_4(X94,esk5_3(X94,X95,X96))) != k4_pre_topc(X94,X95,X96,esk5_3(X94,X95,X96)) )
& ( ~ l1_pre_topc(X94)
| ~ v2_pre_topc(X94)
| v3_struct_0(X94)
| ~ m2_tsp_1(X95,X94)
| ~ v2_tsp_2(X95,X94)
| v3_struct_0(X95)
| ~ m2_relset_1(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v5_pre_topc(X96,X94,X95)
| ~ v1_funct_2(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v1_funct_1(X96)
| X96 = k4_tsp_2(X94,X95)
| m1_subset_1(esk5_3(X94,X95,X96),k1_zfmisc_1(u1_struct_0(X94))) )
& ( ~ l1_pre_topc(X94)
| ~ v2_pre_topc(X94)
| v3_struct_0(X94)
| ~ m2_tsp_1(X95,X94)
| ~ v2_tsp_2(X95,X94)
| v3_struct_0(X95)
| ~ m2_relset_1(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v5_pre_topc(X96,X94,X95)
| ~ v1_funct_2(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v1_funct_1(X96)
| X96 = k4_tsp_2(X94,X95)
| esk4_3(X94,X95,X96) = u1_struct_0(X95) )
& ( ~ l1_pre_topc(X94)
| ~ v2_pre_topc(X94)
| v3_struct_0(X94)
| ~ m2_tsp_1(X95,X94)
| ~ v2_tsp_2(X95,X94)
| v3_struct_0(X95)
| ~ m2_relset_1(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v5_pre_topc(X96,X94,X95)
| ~ v1_funct_2(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v1_funct_1(X96)
| X96 = k4_tsp_2(X94,X95)
| m1_subset_1(esk4_3(X94,X95,X96),k1_zfmisc_1(u1_struct_0(X94))) )
& ( ~ l1_pre_topc(X94)
| ~ v2_pre_topc(X94)
| v3_struct_0(X94)
| ~ m2_tsp_1(X95,X94)
| ~ v2_tsp_2(X95,X94)
| v3_struct_0(X95)
| ~ m2_relset_1(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v5_pre_topc(X96,X94,X95)
| ~ v1_funct_2(X96,u1_struct_0(X94),u1_struct_0(X95))
| ~ v1_funct_1(X96)
| k5_subset_1(u1_struct_0(X94),X97,k3_tex_4(X94,X98)) = k4_pre_topc(X94,X95,X96,X98)
| ~ m1_subset_1(X98,k1_zfmisc_1(u1_struct_0(X94)))
| X97 != u1_struct_0(X95)
| ~ m1_subset_1(X97,k1_zfmisc_1(u1_struct_0(X94)))
| X96 != k4_tsp_2(X94,X95) ) ),
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)],[c_0_22])])])])])]) ).
fof(c_0_30,plain,
! [X117,X118] :
( ( ~ m1_pre_topc(X118,X117)
| ~ v2_tsp_2(X118,X117)
| v3_struct_0(X118)
| ~ l1_pre_topc(X117)
| ~ v2_pre_topc(X117)
| v3_struct_0(X117)
| m2_relset_1(k4_tsp_2(X117,X118),u1_struct_0(X117),u1_struct_0(X118)) )
& ( ~ m1_pre_topc(X118,X117)
| ~ v2_tsp_2(X118,X117)
| v3_struct_0(X118)
| ~ l1_pre_topc(X117)
| ~ v2_pre_topc(X117)
| v3_struct_0(X117)
| v5_pre_topc(k4_tsp_2(X117,X118),X117,X118) )
& ( ~ m1_pre_topc(X118,X117)
| ~ v2_tsp_2(X118,X117)
| v3_struct_0(X118)
| ~ l1_pre_topc(X117)
| ~ v2_pre_topc(X117)
| v3_struct_0(X117)
| v1_funct_2(k4_tsp_2(X117,X118),u1_struct_0(X117),u1_struct_0(X118)) )
& ( ~ m1_pre_topc(X118,X117)
| ~ v2_tsp_2(X118,X117)
| v3_struct_0(X118)
| ~ l1_pre_topc(X117)
| ~ v2_pre_topc(X117)
| v3_struct_0(X117)
| v1_funct_1(k4_tsp_2(X117,X118)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_31,plain,
! [X109,X110] :
( ( ~ m1_pre_topc(X110,X109)
| ~ v2_tsp_2(X110,X109)
| v3_struct_0(X110)
| ~ l1_pre_topc(X109)
| ~ v2_pre_topc(X109)
| v3_struct_0(X109)
| m2_relset_1(k1_tsp_2(X109,X110),u1_struct_0(X109),u1_struct_0(X110)) )
& ( ~ m1_pre_topc(X110,X109)
| ~ v2_tsp_2(X110,X109)
| v3_struct_0(X110)
| ~ l1_pre_topc(X109)
| ~ v2_pre_topc(X109)
| v3_struct_0(X109)
| v5_pre_topc(k1_tsp_2(X109,X110),X109,X110) )
& ( ~ m1_pre_topc(X110,X109)
| ~ v2_tsp_2(X110,X109)
| v3_struct_0(X110)
| ~ l1_pre_topc(X109)
| ~ v2_pre_topc(X109)
| v3_struct_0(X109)
| v1_funct_2(k1_tsp_2(X109,X110),u1_struct_0(X109),u1_struct_0(X110)) )
& ( ~ m1_pre_topc(X110,X109)
| ~ v2_tsp_2(X110,X109)
| v3_struct_0(X110)
| ~ l1_pre_topc(X109)
| ~ v2_pre_topc(X109)
| v3_struct_0(X109)
| v1_funct_1(k1_tsp_2(X109,X110)) ) ),
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_32,plain,
( ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| k4_tsp_2(X1,X2) = k1_tsp_2(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_34,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_36,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_37,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_38,plain,
! [X217,X218] :
( m1_subset_1(u1_struct_0(X218),k1_zfmisc_1(u1_struct_0(X217)))
| ~ m1_pre_topc(X218,X217)
| ~ l1_pre_topc(X217) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_tsep_1])])])]) ).
fof(c_0_39,plain,
! [X1] :
( ( l1_pre_topc(X1)
& v2_pre_topc(X1)
& ~ v3_struct_0(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]) ).
cnf(c_0_40,plain,
( ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2)
| ~ m2_tsp_1(X3,X2)
| ~ v2_tsp_2(X3,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v5_pre_topc(X1,X2,X3)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X1)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X2)))
| X4 != u1_struct_0(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| X1 != k4_tsp_2(X2,X3)
| v3_struct_0(X2)
| v3_struct_0(X3)
| k5_subset_1(u1_struct_0(X2),X4,k3_tex_4(X2,X5)) = k4_pre_topc(X2,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
( ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| m2_relset_1(k4_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
( ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v5_pre_topc(k4_tsp_2(X1,X2),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,plain,
( ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_2(k1_tsp_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44,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_32,c_0_33]),c_0_34]),c_0_28]),c_0_35])]),c_0_36]),c_0_37]) ).
cnf(c_0_45,plain,
( ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| v3_struct_0(X2)
| v3_struct_0(X1)
| v1_funct_1(k4_tsp_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_46,plain,
( ~ m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_47,plain,
! [X227,X228] :
( k3_tex_4(X227,X228) = X228
| ~ v3_pre_topc(X228,X227)
| ~ m1_subset_1(X228,k1_zfmisc_1(u1_struct_0(X227)))
| ~ l1_pre_topc(X227)
| ~ v2_pre_topc(X227)
| v3_struct_0(X227) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_48,plain,
! [X130,X131] :
( l1_pre_topc(X131)
| ~ m2_tsp_1(X131,X130)
| ~ l1_pre_topc(X130) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])])]) ).
cnf(c_0_49,plain,
( ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v2_tsp_2(X2,X1)
| ~ m2_tsp_1(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(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))
| v3_struct_0(X1)
| v3_struct_0(X2)
| 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) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_40])]) ).
cnf(c_0_50,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_41,c_0_33]),c_0_34]),c_0_28]),c_0_35])]),c_0_36]),c_0_37]) ).
cnf(c_0_51,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(spm,[status(thm)],[c_0_42,c_0_33]),c_0_34]),c_0_28]),c_0_35])]),c_0_36]),c_0_37]) ).
cnf(c_0_52,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_43,c_0_33]),c_0_44]),c_0_34]),c_0_28]),c_0_35])]),c_0_36]),c_0_37]) ).
cnf(c_0_53,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_45,c_0_33]),c_0_34]),c_0_28]),c_0_35])]),c_0_36]),c_0_37]) ).
cnf(c_0_54,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_46,c_0_33]),c_0_28])]) ).
cnf(c_0_55,plain,
( ~ v3_pre_topc(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| k3_tex_4(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_57,negated_conjecture,
v3_pre_topc(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_58,plain,
! [X122] :
( l1_struct_0(X122)
| ~ l1_pre_topc(X122) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])])]) ).
cnf(c_0_59,plain,
( ~ m2_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_60,plain,
! [X113,X114,X115,X116] :
( m1_subset_1(k4_pre_topc(X113,X114,X115,X116),k1_zfmisc_1(u1_struct_0(X114)))
| ~ m1_relset_1(X115,u1_struct_0(X113),u1_struct_0(X114))
| ~ v1_funct_2(X115,u1_struct_0(X113),u1_struct_0(X114))
| ~ v1_funct_1(X115)
| ~ l1_struct_0(X114)
| ~ l1_struct_0(X113) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])])]) ).
cnf(c_0_61,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| k5_subset_1(u1_struct_0(esk1_0),u1_struct_0(esk2_0),k3_tex_4(esk1_0,X1)) = k4_pre_topc(esk1_0,esk2_0,k4_tsp_2(esk1_0,esk2_0),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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_27]),c_0_34]),c_0_28]),c_0_35])]),c_0_37]),c_0_36]) ).
cnf(c_0_62,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_55,c_0_56]),c_0_57]),c_0_28]),c_0_35])]),c_0_37]) ).
cnf(c_0_63,plain,
( ~ l1_pre_topc(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_64,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_27]),c_0_28])]) ).
cnf(c_0_65,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_60]) ).
cnf(c_0_66,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_56])]) ).
cnf(c_0_67,negated_conjecture,
l1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_63,c_0_28]) ).
fof(c_0_69,plain,
! [X204,X205,X206] :
( k5_subset_1(X204,X205,X206) = k3_xboole_0(X205,X206)
| ~ m1_subset_1(X206,k1_zfmisc_1(X204))
| ~ m1_subset_1(X205,k1_zfmisc_1(X204)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])])]) ).
fof(c_0_70,plain,
! [X89,X90] : k3_xboole_0(X89,X90) = k3_xboole_0(X90,X89),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_71,plain,
! [X101,X102,X103,X105,X107] :
( ( ~ l1_pre_topc(X101)
| ~ l1_pre_topc(X102)
| m1_tsp_1(X102,X101)
| ~ r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| v3_pre_topc(esk7_2(X101,X102),X102)
| esk7_2(X101,X102) = k3_xboole_0(esk8_2(X101,X102),u1_struct_0(X102)) )
& ( ~ l1_pre_topc(X101)
| ~ l1_pre_topc(X102)
| m1_tsp_1(X102,X101)
| ~ r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| v3_pre_topc(esk7_2(X101,X102),X102)
| v3_pre_topc(esk8_2(X101,X102),X101) )
& ( ~ l1_pre_topc(X101)
| ~ l1_pre_topc(X102)
| m1_tsp_1(X102,X101)
| ~ r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| v3_pre_topc(esk7_2(X101,X102),X102)
| m1_subset_1(esk8_2(X101,X102),k1_zfmisc_1(u1_struct_0(X101))) )
& ( ~ l1_pre_topc(X101)
| ~ l1_pre_topc(X102)
| m1_tsp_1(X102,X101)
| ~ r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| esk7_2(X101,X102) != k3_xboole_0(X107,u1_struct_0(X102))
| ~ v3_pre_topc(X107,X101)
| ~ m1_subset_1(X107,k1_zfmisc_1(u1_struct_0(X101)))
| ~ v3_pre_topc(esk7_2(X101,X102),X102) )
& ( ~ l1_pre_topc(X101)
| ~ l1_pre_topc(X102)
| m1_tsp_1(X102,X101)
| ~ r1_tarski(u1_struct_0(X102),u1_struct_0(X101))
| m1_subset_1(esk7_2(X101,X102),k1_zfmisc_1(u1_struct_0(X102))) )
& ( ~ l1_pre_topc(X101)
| ~ l1_pre_topc(X102)
| ~ m1_tsp_1(X102,X101)
| ~ m1_subset_1(X103,k1_zfmisc_1(u1_struct_0(X102)))
| v3_pre_topc(X103,X102)
| X103 != k3_xboole_0(X105,u1_struct_0(X102))
| ~ v3_pre_topc(X105,X101)
| ~ m1_subset_1(X105,k1_zfmisc_1(u1_struct_0(X101))) )
& ( ~ l1_pre_topc(X101)
| ~ l1_pre_topc(X102)
| ~ m1_tsp_1(X102,X101)
| ~ m1_subset_1(X103,k1_zfmisc_1(u1_struct_0(X102)))
| ~ v3_pre_topc(X103,X102)
| X103 = k3_xboole_0(esk6_3(X101,X102,X103),u1_struct_0(X102)) )
& ( ~ l1_pre_topc(X101)
| ~ l1_pre_topc(X102)
| ~ m1_tsp_1(X102,X101)
| ~ m1_subset_1(X103,k1_zfmisc_1(u1_struct_0(X102)))
| ~ v3_pre_topc(X103,X102)
| v3_pre_topc(esk6_3(X101,X102,X103),X101) )
& ( ~ l1_pre_topc(X101)
| ~ l1_pre_topc(X102)
| ~ m1_tsp_1(X102,X101)
| ~ m1_subset_1(X103,k1_zfmisc_1(u1_struct_0(X102)))
| ~ v3_pre_topc(X103,X102)
| m1_subset_1(esk6_3(X101,X102,X103),k1_zfmisc_1(u1_struct_0(X101))) )
& ( ~ l1_pre_topc(X101)
| ~ l1_pre_topc(X102)
| ~ m1_tsp_1(X102,X101)
| r1_tarski(u1_struct_0(X102),u1_struct_0(X101)) ) ),
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)],[d1_tsp_1])])])])])]) ).
fof(c_0_72,plain,
! [X125,X126] :
( l1_pre_topc(X126)
| ~ m1_tsp_1(X126,X125)
| ~ l1_pre_topc(X125) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_tsp_1])])])]) ).
cnf(c_0_73,negated_conjecture,
( ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68]),c_0_52]),c_0_53])]) ).
cnf(c_0_74,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_76,plain,
! [X209,X210,X211] :
( ( m2_relset_1(X211,X209,X210)
| ~ m1_relset_1(X211,X209,X210) )
& ( m1_relset_1(X211,X209,X210)
| ~ m2_relset_1(X211,X209,X210) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_77,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_21]) ).
cnf(c_0_78,plain,
( ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X4)
| ~ m1_tsp_1(X4,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4)))
| X3 != k3_xboole_0(X1,u1_struct_0(X4))
| ~ v3_pre_topc(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_pre_topc(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_79,plain,
( ~ m1_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( ~ m1_relset_1(k4_tsp_2(esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
| 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_73,c_0_74]),c_0_75]),c_0_56]),c_0_54])]) ).
cnf(c_0_81,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
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(rw,[status(thm)],[c_0_77,c_0_66]) ).
fof(c_0_83,plain,
! [X207,X208] :
( ( ~ l1_pre_topc(X207)
| m1_tsp_1(X208,X207)
| ~ m1_pre_topc(X208,X207) )
& ( ~ l1_pre_topc(X207)
| m1_pre_topc(X208,X207)
| ~ m1_tsp_1(X208,X207) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
( ~ l1_pre_topc(X3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_subset_1(k3_xboole_0(X1,u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_pre_topc(X1,X3)
| ~ m1_tsp_1(X2,X3)
| v3_pre_topc(k3_xboole_0(X1,u1_struct_0(X2)),X2) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_78,c_0_79])]) ).
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(spm,[status(thm)],[c_0_80,c_0_81]),c_0_50])]) ).
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_74]),c_0_75]),c_0_56]),c_0_54])]) ).
cnf(c_0_87,plain,
( ~ l1_pre_topc(X2)
| ~ m1_pre_topc(X1,X2)
| m1_tsp_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( ~ l1_pre_topc(X1)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(esk3_0,X1)
| ~ m1_tsp_1(esk2_0,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_33]),c_0_28])]) ).
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_28]),c_0_89]),c_0_57]),c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP041+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 12:50:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 6.44/1.37 % Version: 3.5.1
% 6.44/1.37 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.44/1.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.44/1.37 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.44/1.37 % Starting new_bool_3 with 300s (1) cores
% 6.44/1.37 % Starting new_bool_1 with 300s (1) cores
% 6.44/1.37 % Starting sh5l with 300s (1) cores
% 6.44/1.37 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3145434 completed with status 0
% 6.44/1.37 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 6.44/1.37 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.44/1.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.44/1.37 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.44/1.37 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.44/1.37 % No SInE strategy applied
% 6.44/1.37 % Search class: FGHSM-FSLM31-MFFFFFNN
% 6.44/1.37 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 6.44/1.37 % Starting SubtermCWHack with 136s (1) cores
% 6.44/1.37 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.44/1.37 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 6.44/1.37 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 6.44/1.37 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 6.44/1.37 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 3145451 completed with status 0
% 6.44/1.37 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 6.44/1.37 % Preprocessing class: FSLSSMSSSSSNFFN.
% 6.44/1.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.44/1.37 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.44/1.37 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.44/1.37 % No SInE strategy applied
% 6.44/1.37 % Search class: FGHSM-FSLM31-MFFFFFNN
% 6.44/1.37 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 6.44/1.37 % Starting SubtermCWHack with 136s (1) cores
% 6.44/1.37 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 6.44/1.37 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 6.44/1.37 % Preprocessing time : 0.003 s
% 6.44/1.37 % Presaturation interreduction done
% 6.44/1.37
% 6.44/1.37 % Proof found!
% 6.44/1.37 % SZS status Theorem
% 6.44/1.37 % SZS output start CNFRefutation
% See solution above
% 6.44/1.37 % Parsed axioms : 125
% 6.44/1.37 % Removed by relevancy pruning/SinE : 0
% 6.44/1.37 % Initial clauses : 301
% 6.44/1.37 % Removed in clause preprocessing : 43
% 6.44/1.37 % Initial clauses in saturation : 258
% 6.44/1.37 % Processed clauses : 9611
% 6.44/1.37 % ...of these trivial : 123
% 6.44/1.37 % ...subsumed : 4118
% 6.44/1.37 % ...remaining for further processing : 5370
% 6.44/1.37 % Other redundant clauses eliminated : 3
% 6.44/1.37 % Clauses deleted for lack of memory : 0
% 6.44/1.37 % Backward-subsumed : 54
% 6.44/1.37 % Backward-rewritten : 395
% 6.44/1.37 % Generated clauses : 33517
% 6.44/1.37 % ...of the previous two non-redundant : 30218
% 6.44/1.37 % ...aggressively subsumed : 0
% 6.44/1.37 % Contextual simplify-reflections : 56
% 6.44/1.37 % Paramodulations : 33513
% 6.44/1.37 % Factorizations : 2
% 6.44/1.37 % NegExts : 0
% 6.44/1.37 % Equation resolutions : 3
% 6.44/1.37 % Disequality decompositions : 0
% 6.44/1.37 % Total rewrite steps : 24838
% 6.44/1.37 % ...of those cached : 23905
% 6.44/1.37 % Propositional unsat checks : 1
% 6.44/1.37 % Propositional check models : 0
% 6.44/1.37 % Propositional check unsatisfiable : 0
% 6.44/1.37 % Propositional clauses : 0
% 6.44/1.37 % Propositional clauses after purity: 0
% 6.44/1.37 % Propositional unsat core size : 0
% 6.44/1.37 % Propositional preprocessing time : 0.000
% 6.44/1.37 % Propositional encoding time : 0.011
% 6.44/1.37 % Propositional solver time : 0.018
% 6.44/1.37 % Success case prop preproc time : 0.000
% 6.44/1.37 % Success case prop encoding time : 0.000
% 6.44/1.37 % Success case prop solver time : 0.000
% 6.44/1.37 % Current number of processed clauses : 4686
% 6.44/1.37 % Positive orientable unit clauses : 548
% 6.44/1.37 % Positive unorientable unit clauses: 1
% 6.44/1.37 % Negative unit clauses : 98
% 6.44/1.37 % Non-unit-clauses : 4039
% 6.44/1.37 % Current number of unprocessed clauses: 20685
% 6.44/1.37 % ...number of literals in the above : 90790
% 6.44/1.37 % Current number of archived formulas : 0
% 6.44/1.37 % Current number of archived clauses : 682
% 6.44/1.37 % Clause-clause subsumption calls (NU) : 1269535
% 6.44/1.37 % Rec. Clause-clause subsumption calls : 833736
% 6.44/1.37 % Non-unit clause-clause subsumptions : 3352
% 6.44/1.37 % Unit Clause-clause subsumption calls : 418037
% 6.44/1.37 % Rewrite failures with RHS unbound : 0
% 6.44/1.37 % BW rewrite match attempts : 595
% 6.44/1.37 % BW rewrite match successes : 80
% 6.44/1.37 % Condensation attempts : 0
% 6.44/1.37 % Condensation successes : 0
% 6.44/1.37 % Termbank termtop insertions : 759690
% 6.44/1.37 % Search garbage collected termcells : 3716
% 6.44/1.37
% 6.44/1.37 % -------------------------------------------------
% 6.44/1.37 % User time : 0.862 s
% 6.44/1.37 % System time : 0.042 s
% 6.44/1.37 % Total time : 0.904 s
% 6.44/1.37 % Maximum resident set size: 4536 pages
% 6.44/1.37
% 6.44/1.37 % -------------------------------------------------
% 6.44/1.37 % User time : 4.008 s
% 6.44/1.37 % System time : 0.126 s
% 6.44/1.37 % Total time : 4.134 s
% 6.44/1.37 % Maximum resident set size: 4864 pages
% 6.44/1.37 % E exiting
%------------------------------------------------------------------------------