%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP042+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 : n002.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 05:56:43 PM UTC 2026
% Result : Theorem 3.88s 3.20s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 84 ( 29 unt; 0 def)
% Number of atoms : 525 ( 44 equ)
% Maximal formula atoms : 63 ( 6 avg)
% Number of connectives : 705 ( 264 ~; 287 |; 105 &)
% ( 6 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-4 aty)
% Number of variables : 141 ( 1 sgn 91 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t35_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)))
=> ( v4_pre_topc(X3,X1)
=> v4_pre_topc(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_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/sandbox2/benchmark/theBenchmark.p',d12_tsp_2) ).
fof(t62_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)))
=> ( v4_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_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/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(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/sandbox2/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/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(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] :
( ( 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(d2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( l1_pre_topc(X2)
=> ( m2_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)))
=> ( v4_pre_topc(X3,X2)
<=> ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& v4_pre_topc(X4,X1)
& X3 = k3_xboole_0(X4,u1_struct_0(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_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/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(c_0_15,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)))
=> ( v4_pre_topc(X3,X1)
=> v4_pre_topc(k4_pre_topc(X1,X2,k4_tsp_2(X1,X2),X3),X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t35_tsp_2])]) ).
fof(c_0_16,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_17,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)))
=> ( v4_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
inference(fof_simplification,[status(thm)],[t62_tex_4]) ).
fof(c_0_18,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_19,plain,
! [X427,X428] :
( ( ~ m2_tsp_1(X428,X427)
| m1_pre_topc(X428,X427)
| ~ l1_pre_topc(X427) )
& ( ~ m1_pre_topc(X428,X427)
| m2_tsp_1(X428,X427)
| ~ l1_pre_topc(X427) ) ),
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_20,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)))
& v4_pre_topc(esk3_0,esk1_0)
& ~ v4_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_15])])]) ).
fof(c_0_21,plain,
! [X315,X316,X317,X318,X319] :
( ( X317 != k4_tsp_2(X315,X316)
| ~ m1_subset_1(X318,k1_zfmisc_1(u1_struct_0(X315)))
| X318 != u1_struct_0(X316)
| ~ m1_subset_1(X319,k1_zfmisc_1(u1_struct_0(X315)))
| k5_subset_1(u1_struct_0(X315),X318,k3_tex_4(X315,X319)) = k4_pre_topc(X315,X316,X317,X319)
| ~ v1_funct_1(X317)
| ~ v1_funct_2(X317,u1_struct_0(X315),u1_struct_0(X316))
| ~ v5_pre_topc(X317,X315,X316)
| ~ m2_relset_1(X317,u1_struct_0(X315),u1_struct_0(X316))
| v3_struct_0(X316)
| ~ v2_tsp_2(X316,X315)
| ~ m2_tsp_1(X316,X315)
| v3_struct_0(X315)
| ~ v2_pre_topc(X315)
| ~ l1_pre_topc(X315) )
& ( m1_subset_1(esk4_3(X315,X316,X317),k1_zfmisc_1(u1_struct_0(X315)))
| X317 = k4_tsp_2(X315,X316)
| ~ v1_funct_1(X317)
| ~ v1_funct_2(X317,u1_struct_0(X315),u1_struct_0(X316))
| ~ v5_pre_topc(X317,X315,X316)
| ~ m2_relset_1(X317,u1_struct_0(X315),u1_struct_0(X316))
| v3_struct_0(X316)
| ~ v2_tsp_2(X316,X315)
| ~ m2_tsp_1(X316,X315)
| v3_struct_0(X315)
| ~ v2_pre_topc(X315)
| ~ l1_pre_topc(X315) )
& ( esk4_3(X315,X316,X317) = u1_struct_0(X316)
| X317 = k4_tsp_2(X315,X316)
| ~ v1_funct_1(X317)
| ~ v1_funct_2(X317,u1_struct_0(X315),u1_struct_0(X316))
| ~ v5_pre_topc(X317,X315,X316)
| ~ m2_relset_1(X317,u1_struct_0(X315),u1_struct_0(X316))
| v3_struct_0(X316)
| ~ v2_tsp_2(X316,X315)
| ~ m2_tsp_1(X316,X315)
| v3_struct_0(X315)
| ~ v2_pre_topc(X315)
| ~ l1_pre_topc(X315) )
& ( m1_subset_1(esk5_3(X315,X316,X317),k1_zfmisc_1(u1_struct_0(X315)))
| X317 = k4_tsp_2(X315,X316)
| ~ v1_funct_1(X317)
| ~ v1_funct_2(X317,u1_struct_0(X315),u1_struct_0(X316))
| ~ v5_pre_topc(X317,X315,X316)
| ~ m2_relset_1(X317,u1_struct_0(X315),u1_struct_0(X316))
| v3_struct_0(X316)
| ~ v2_tsp_2(X316,X315)
| ~ m2_tsp_1(X316,X315)
| v3_struct_0(X315)
| ~ v2_pre_topc(X315)
| ~ l1_pre_topc(X315) )
& ( k5_subset_1(u1_struct_0(X315),esk4_3(X315,X316,X317),k3_tex_4(X315,esk5_3(X315,X316,X317))) != k4_pre_topc(X315,X316,X317,esk5_3(X315,X316,X317))
| X317 = k4_tsp_2(X315,X316)
| ~ v1_funct_1(X317)
| ~ v1_funct_2(X317,u1_struct_0(X315),u1_struct_0(X316))
| ~ v5_pre_topc(X317,X315,X316)
| ~ m2_relset_1(X317,u1_struct_0(X315),u1_struct_0(X316))
| v3_struct_0(X316)
| ~ v2_tsp_2(X316,X315)
| ~ m2_tsp_1(X316,X315)
| v3_struct_0(X315)
| ~ v2_pre_topc(X315)
| ~ l1_pre_topc(X315) ) ),
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_16])])])])]) ).
fof(c_0_22,plain,
! [X445,X446] :
( v3_struct_0(X445)
| ~ v2_pre_topc(X445)
| ~ l1_pre_topc(X445)
| ~ m1_subset_1(X446,k1_zfmisc_1(u1_struct_0(X445)))
| ~ v4_pre_topc(X446,X445)
| k3_tex_4(X445,X446) = X446 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_23,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_24,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_25,plain,
! [X419,X420] :
( v3_struct_0(X419)
| ~ v2_pre_topc(X419)
| ~ l1_pre_topc(X419)
| v3_struct_0(X420)
| ~ v2_tsp_2(X420,X419)
| ~ m1_pre_topc(X420,X419)
| k4_tsp_2(X419,X420) = k1_tsp_2(X419,X420) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
cnf(c_0_26,plain,
( m1_pre_topc(X1,X2)
| ~ m2_tsp_1(X1,X2)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,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_21]) ).
cnf(c_0_30,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)))
| ~ v4_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
v4_pre_topc(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_35,plain,
! [X338,X339] :
( ( v1_funct_1(k4_tsp_2(X338,X339))
| v3_struct_0(X338)
| ~ v2_pre_topc(X338)
| ~ l1_pre_topc(X338)
| v3_struct_0(X339)
| ~ v2_tsp_2(X339,X338)
| ~ m1_pre_topc(X339,X338) )
& ( v1_funct_2(k4_tsp_2(X338,X339),u1_struct_0(X338),u1_struct_0(X339))
| v3_struct_0(X338)
| ~ v2_pre_topc(X338)
| ~ l1_pre_topc(X338)
| v3_struct_0(X339)
| ~ v2_tsp_2(X339,X338)
| ~ m1_pre_topc(X339,X338) )
& ( v5_pre_topc(k4_tsp_2(X338,X339),X338,X339)
| v3_struct_0(X338)
| ~ v2_pre_topc(X338)
| ~ l1_pre_topc(X338)
| v3_struct_0(X339)
| ~ v2_tsp_2(X339,X338)
| ~ m1_pre_topc(X339,X338) )
& ( m2_relset_1(k4_tsp_2(X338,X339),u1_struct_0(X338),u1_struct_0(X339))
| v3_struct_0(X338)
| ~ v2_pre_topc(X338)
| ~ l1_pre_topc(X338)
| v3_struct_0(X339)
| ~ v2_tsp_2(X339,X338)
| ~ m1_pre_topc(X339,X338) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_36,plain,
! [X330,X331] :
( ( v1_funct_1(k1_tsp_2(X330,X331))
| v3_struct_0(X330)
| ~ v2_pre_topc(X330)
| ~ l1_pre_topc(X330)
| v3_struct_0(X331)
| ~ v2_tsp_2(X331,X330)
| ~ m1_pre_topc(X331,X330) )
& ( v1_funct_2(k1_tsp_2(X330,X331),u1_struct_0(X330),u1_struct_0(X331))
| v3_struct_0(X330)
| ~ v2_pre_topc(X330)
| ~ l1_pre_topc(X330)
| v3_struct_0(X331)
| ~ v2_tsp_2(X331,X330)
| ~ m1_pre_topc(X331,X330) )
& ( v5_pre_topc(k1_tsp_2(X330,X331),X330,X331)
| v3_struct_0(X330)
| ~ v2_pre_topc(X330)
| ~ l1_pre_topc(X330)
| v3_struct_0(X331)
| ~ v2_tsp_2(X331,X330)
| ~ m1_pre_topc(X331,X330) )
& ( m2_relset_1(k1_tsp_2(X330,X331),u1_struct_0(X330),u1_struct_0(X331))
| v3_struct_0(X330)
| ~ v2_pre_topc(X330)
| ~ l1_pre_topc(X330)
| v3_struct_0(X331)
| ~ v2_tsp_2(X331,X330)
| ~ m1_pre_topc(X331,X330) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
cnf(c_0_37,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_25]) ).
cnf(c_0_38,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_39,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_41,plain,
! [X432,X433] :
( ~ l1_pre_topc(X432)
| ~ m1_pre_topc(X433,X432)
| m1_subset_1(u1_struct_0(X433),k1_zfmisc_1(u1_struct_0(X432))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_tsep_1])])]) ).
fof(c_0_42,plain,
! [X349,X350] :
( ~ l1_pre_topc(X349)
| ~ m2_tsp_1(X350,X349)
| l1_pre_topc(X350) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_tsp_1])])]) ).
cnf(c_0_43,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_29])]) ).
cnf(c_0_44,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_30,c_0_31]),c_0_32]),c_0_28]),c_0_33])]),c_0_34]) ).
cnf(c_0_45,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_35]) ).
cnf(c_0_46,plain,
( v5_pre_topc(k4_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_35]) ).
cnf(c_0_47,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_36]) ).
cnf(c_0_48,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_37,c_0_38]),c_0_39]),c_0_28]),c_0_33])]),c_0_40]),c_0_34]) ).
cnf(c_0_49,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_35]) ).
cnf(c_0_50,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_41]) ).
fof(c_0_51,plain,
! [X343] :
( ~ l1_pre_topc(X343)
| l1_struct_0(X343) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
cnf(c_0_52,plain,
( l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_53,plain,
! [X334,X335,X336,X337] :
( ~ l1_struct_0(X334)
| ~ l1_struct_0(X335)
| ~ v1_funct_1(X336)
| ~ v1_funct_2(X336,u1_struct_0(X334),u1_struct_0(X335))
| ~ m1_relset_1(X336,u1_struct_0(X334),u1_struct_0(X335))
| m1_subset_1(k4_pre_topc(X334,X335,X336,X337),k1_zfmisc_1(u1_struct_0(X335))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_pre_topc])]) ).
cnf(c_0_54,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_43,c_0_44]),c_0_31]),c_0_28]),c_0_33])]),c_0_34]) ).
cnf(c_0_55,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_45,c_0_38]),c_0_39]),c_0_28]),c_0_33])]),c_0_40]),c_0_34]) ).
cnf(c_0_56,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_46,c_0_38]),c_0_39]),c_0_28]),c_0_33])]),c_0_40]),c_0_34]) ).
cnf(c_0_57,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_47,c_0_38]),c_0_48]),c_0_39]),c_0_28]),c_0_33])]),c_0_40]),c_0_34]) ).
cnf(c_0_58,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_49,c_0_38]),c_0_39]),c_0_28]),c_0_33])]),c_0_40]),c_0_34]) ).
cnf(c_0_59,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_50,c_0_38]),c_0_28])]) ).
cnf(c_0_60,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,negated_conjecture,
l1_pre_topc(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_27]),c_0_28])]) ).
cnf(c_0_62,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_53]) ).
cnf(c_0_63,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_54,c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_27]),c_0_39])]),c_0_40]) ).
cnf(c_0_64,negated_conjecture,
l1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_60,c_0_28]) ).
fof(c_0_66,plain,
! [X424,X425,X426] :
( ( ~ m2_relset_1(X426,X424,X425)
| m1_relset_1(X426,X424,X425) )
& ( ~ m1_relset_1(X426,X424,X425)
| m2_relset_1(X426,X424,X425) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_67,plain,
! [X322,X323,X324,X326,X328] :
( ( r1_tarski(u1_struct_0(X323),u1_struct_0(X322))
| ~ m2_tsp_1(X323,X322)
| ~ l1_pre_topc(X323)
| ~ l1_pre_topc(X322) )
& ( m1_subset_1(esk6_3(X322,X323,X324),k1_zfmisc_1(u1_struct_0(X322)))
| ~ v4_pre_topc(X324,X323)
| ~ m1_subset_1(X324,k1_zfmisc_1(u1_struct_0(X323)))
| ~ m2_tsp_1(X323,X322)
| ~ l1_pre_topc(X323)
| ~ l1_pre_topc(X322) )
& ( v4_pre_topc(esk6_3(X322,X323,X324),X322)
| ~ v4_pre_topc(X324,X323)
| ~ m1_subset_1(X324,k1_zfmisc_1(u1_struct_0(X323)))
| ~ m2_tsp_1(X323,X322)
| ~ l1_pre_topc(X323)
| ~ l1_pre_topc(X322) )
& ( X324 = k3_xboole_0(esk6_3(X322,X323,X324),u1_struct_0(X323))
| ~ v4_pre_topc(X324,X323)
| ~ m1_subset_1(X324,k1_zfmisc_1(u1_struct_0(X323)))
| ~ m2_tsp_1(X323,X322)
| ~ l1_pre_topc(X323)
| ~ l1_pre_topc(X322) )
& ( ~ m1_subset_1(X326,k1_zfmisc_1(u1_struct_0(X322)))
| ~ v4_pre_topc(X326,X322)
| X324 != k3_xboole_0(X326,u1_struct_0(X323))
| v4_pre_topc(X324,X323)
| ~ m1_subset_1(X324,k1_zfmisc_1(u1_struct_0(X323)))
| ~ m2_tsp_1(X323,X322)
| ~ l1_pre_topc(X323)
| ~ l1_pre_topc(X322) )
& ( m1_subset_1(esk7_2(X322,X323),k1_zfmisc_1(u1_struct_0(X323)))
| ~ r1_tarski(u1_struct_0(X323),u1_struct_0(X322))
| m2_tsp_1(X323,X322)
| ~ l1_pre_topc(X323)
| ~ l1_pre_topc(X322) )
& ( ~ v4_pre_topc(esk7_2(X322,X323),X323)
| ~ m1_subset_1(X328,k1_zfmisc_1(u1_struct_0(X322)))
| ~ v4_pre_topc(X328,X322)
| esk7_2(X322,X323) != k3_xboole_0(X328,u1_struct_0(X323))
| ~ r1_tarski(u1_struct_0(X323),u1_struct_0(X322))
| m2_tsp_1(X323,X322)
| ~ l1_pre_topc(X323)
| ~ l1_pre_topc(X322) )
& ( m1_subset_1(esk8_2(X322,X323),k1_zfmisc_1(u1_struct_0(X322)))
| v4_pre_topc(esk7_2(X322,X323),X323)
| ~ r1_tarski(u1_struct_0(X323),u1_struct_0(X322))
| m2_tsp_1(X323,X322)
| ~ l1_pre_topc(X323)
| ~ l1_pre_topc(X322) )
& ( v4_pre_topc(esk8_2(X322,X323),X322)
| v4_pre_topc(esk7_2(X322,X323),X323)
| ~ r1_tarski(u1_struct_0(X323),u1_struct_0(X322))
| m2_tsp_1(X323,X322)
| ~ l1_pre_topc(X323)
| ~ l1_pre_topc(X322) )
& ( esk7_2(X322,X323) = k3_xboole_0(esk8_2(X322,X323),u1_struct_0(X323))
| v4_pre_topc(esk7_2(X322,X323),X323)
| ~ r1_tarski(u1_struct_0(X323),u1_struct_0(X322))
| m2_tsp_1(X323,X322)
| ~ l1_pre_topc(X323)
| ~ l1_pre_topc(X322) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tsp_1])])])])]) ).
cnf(c_0_68,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_62,c_0_63]),c_0_64]),c_0_65]),c_0_57]),c_0_58])]) ).
cnf(c_0_69,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_70,plain,
! [X421,X422,X423] :
( ~ m1_subset_1(X422,k1_zfmisc_1(X421))
| ~ m1_subset_1(X423,k1_zfmisc_1(X421))
| k5_subset_1(X421,X422,X423) = k3_xboole_0(X422,X423) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])]) ).
fof(c_0_71,plain,
! [X310,X311] : k3_xboole_0(X310,X311) = k3_xboole_0(X311,X310),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_72,negated_conjecture,
~ v4_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_20]) ).
cnf(c_0_73,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_43,c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_27]),c_0_39]),c_0_28]),c_0_33])]),c_0_34]),c_0_40]) ).
cnf(c_0_74,plain,
( v4_pre_topc(X3,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v4_pre_topc(X1,X2)
| X3 != k3_xboole_0(X1,u1_struct_0(X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X4)))
| ~ m2_tsp_1(X4,X2)
| ~ l1_pre_topc(X4)
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_75,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_68,c_0_69]),c_0_55])]) ).
cnf(c_0_76,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_70]) ).
cnf(c_0_77,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,negated_conjecture,
~ v4_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_72,c_0_73]),c_0_44]),c_0_31])]) ).
cnf(c_0_79,plain,
( v4_pre_topc(k3_xboole_0(X1,u1_struct_0(X2)),X2)
| ~ v4_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)))
| ~ m2_tsp_1(X2,X3)
| ~ l1_pre_topc(X3) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_74,c_0_52])]) ).
cnf(c_0_80,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_75,c_0_76]),c_0_77]),c_0_31]),c_0_59])]) ).
cnf(c_0_81,negated_conjecture,
~ v4_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_78,c_0_76]),c_0_77]),c_0_31]),c_0_59])]) ).
cnf(c_0_82,negated_conjecture,
( ~ v4_pre_topc(esk3_0,X1)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_tsp_1(esk2_0,X1)
| ~ l1_pre_topc(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_83,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_82,c_0_27]),c_0_32]),c_0_31]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : TOP042+1 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13 % 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
% 0.15/0.34 % Computer : n002.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 10:04:16 EDT 2026
% 0.15/0.35 % CPUTime :
% 0.19/0.36 % start to proof: theBenchmark
% 3.88/3.20 % Version : CSE_E---1.7
% 3.88/3.20 % Problem : theBenchmark.p
% 3.88/3.20 % SZS status Theorem for theBenchmark.p
% 3.88/3.20 % SZS output start CNFRefutation
% See solution above
% 3.96/3.21 % Total time : 2.426s
%------------------------------------------------------------------------------