%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP028+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 : n012.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 05:56:38 PM UTC 2026
% Result : Theorem 1.36s 1.68s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 73 ( 14 unt; 0 def)
% Number of atoms : 314 ( 7 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 393 ( 152 ~; 143 |; 74 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 103 ( 5 sgn 46 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc1_subset_1,axiom,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(rc4_tops_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_xboole_0(X2)
& v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2)
& v2_tops_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc4_tops_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(fc1_pre_topc,axiom,
! [X1] :
( l1_struct_0(X1)
=> ( v1_xboole_0(k1_pre_topc(X1))
& v1_membered(k1_pre_topc(X1))
& v2_membered(k1_pre_topc(X1))
& v3_membered(k1_pre_topc(X1))
& v4_membered(k1_pre_topc(X1))
& v5_membered(k1_pre_topc(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_pre_topc) ).
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(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(t10_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tsp_2) ).
fof(t35_tex_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v3_tex_2(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_tex_2) ).
fof(existence_l1_pre_topc,axiom,
? [X1] : l1_pre_topc(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
fof(rc5_tops_1,axiom,
! [X1] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_xboole_0(X2)
& v3_pre_topc(X2,X1)
& v4_pre_topc(X2,X1)
& v1_membered(X2)
& v2_membered(X2)
& v3_membered(X2)
& v4_membered(X2)
& v5_membered(X2)
& v2_tops_1(X2,X1)
& v3_tops_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_tops_1) ).
fof(t11_tsp_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_tex_2(X2,X1)
=> v1_tsp_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_tsp_1) ).
fof(t9_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_tsp_2) ).
fof(c_0_13,plain,
! [X1] : ~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(fof_simplification,[status(thm)],[fc1_subset_1]) ).
fof(c_0_14,plain,
! [X198,X199] :
( ~ v1_xboole_0(X198)
| X198 = X199
| ~ v1_xboole_0(X199) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_15,plain,
! [X168] :
( ( m1_subset_1(esk12_1(X168),k1_zfmisc_1(u1_struct_0(X168)))
| ~ l1_pre_topc(X168) )
& ( v1_xboole_0(esk12_1(X168))
| ~ l1_pre_topc(X168) )
& ( v1_membered(esk12_1(X168))
| ~ l1_pre_topc(X168) )
& ( v2_membered(esk12_1(X168))
| ~ l1_pre_topc(X168) )
& ( v3_membered(esk12_1(X168))
| ~ l1_pre_topc(X168) )
& ( v4_membered(esk12_1(X168))
| ~ l1_pre_topc(X168) )
& ( v5_membered(esk12_1(X168))
| ~ l1_pre_topc(X168) )
& ( v2_tops_1(esk12_1(X168),X168)
| ~ l1_pre_topc(X168) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc4_tops_1])])])]) ).
fof(c_0_16,plain,
! [X183,X184] :
( ~ m1_subset_1(X183,X184)
| v1_xboole_0(X184)
| r2_hidden(X183,X184) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_17,plain,
! [X153] : ~ v1_xboole_0(k1_zfmisc_1(X153)),
inference(variable_rename,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( v1_xboole_0(esk12_1(X1))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( m1_subset_1(esk12_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( X1 = esk12_1(X2)
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_24,plain,
! [X151] :
( ( v1_xboole_0(k1_pre_topc(X151))
| ~ l1_struct_0(X151) )
& ( v1_membered(k1_pre_topc(X151))
| ~ l1_struct_0(X151) )
& ( v2_membered(k1_pre_topc(X151))
| ~ l1_struct_0(X151) )
& ( v3_membered(k1_pre_topc(X151))
| ~ l1_struct_0(X151) )
& ( v4_membered(k1_pre_topc(X151))
| ~ l1_struct_0(X151) )
& ( v5_membered(k1_pre_topc(X151))
| ~ l1_struct_0(X151) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_pre_topc])])]) ).
fof(c_0_25,plain,
! [X146] :
( ~ l1_pre_topc(X146)
| l1_struct_0(X146) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(c_0_26,plain,
! [X181,X182] :
( ~ r2_hidden(X181,X182)
| m1_subset_1(X181,X182) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_27,plain,
( r2_hidden(esk12_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_28,plain,
( esk12_1(X1) = esk12_1(X2)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_19]) ).
cnf(c_0_29,plain,
( v1_xboole_0(k1_pre_topc(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( l1_struct_0(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( r2_hidden(esk12_1(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
( v1_xboole_0(k1_pre_topc(X1))
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_34,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t10_tsp_2])]) ).
cnf(c_0_35,plain,
( m1_subset_1(esk12_1(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
( k1_pre_topc(X1) = esk12_1(X2)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_33]) ).
fof(c_0_37,negated_conjecture,
! [X105] :
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ( ~ m1_subset_1(X105,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X105,esk1_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
fof(c_0_38,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v3_tex_2(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[t35_tex_2]) ).
cnf(c_0_39,plain,
( m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X3)
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_41,plain,
l1_pre_topc(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_pre_topc])]) ).
fof(c_0_42,plain,
! [X185,X186] :
( v3_struct_0(X185)
| ~ v2_pre_topc(X185)
| ~ l1_pre_topc(X185)
| ~ v1_xboole_0(X186)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v3_tex_2(X186,X185) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
cnf(c_0_43,negated_conjecture,
( m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,plain,
l1_pre_topc(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,plain,
( v3_struct_0(X1)
| v3_tex_2(X2,X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,negated_conjecture,
( v3_tex_2(k1_pre_topc(X1),esk1_0)
| ~ l1_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_40]),c_0_47])]),c_0_48]),c_0_33]) ).
fof(c_0_50,plain,
! [X172] :
( ( m1_subset_1(esk14_1(X172),k1_zfmisc_1(u1_struct_0(X172)))
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( v1_xboole_0(esk14_1(X172))
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( v3_pre_topc(esk14_1(X172),X172)
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( v4_pre_topc(esk14_1(X172),X172)
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( v1_membered(esk14_1(X172))
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( v2_membered(esk14_1(X172))
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( v3_membered(esk14_1(X172))
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( v4_membered(esk14_1(X172))
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( v5_membered(esk14_1(X172))
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( v2_tops_1(esk14_1(X172),X172)
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) )
& ( v3_tops_1(esk14_1(X172),X172)
| ~ v2_pre_topc(X172)
| ~ l1_pre_topc(X172) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc5_tops_1])])])]) ).
fof(c_0_51,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v3_tex_2(X2,X1)
=> v1_tsp_1(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t11_tsp_1]) ).
cnf(c_0_52,negated_conjecture,
( v3_tex_2(esk12_1(X1),esk1_0)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_36]) ).
cnf(c_0_53,plain,
( v1_xboole_0(esk14_1(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_54,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v1_tsp_1(X2,X1)
& ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( r1_tarski(X2,X3)
& v1_tsp_2(X3,X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t9_tsp_2]) ).
fof(c_0_55,plain,
! [X179,X180] :
( v3_struct_0(X179)
| ~ l1_pre_topc(X179)
| ~ m1_subset_1(X180,k1_zfmisc_1(u1_struct_0(X179)))
| ~ v3_tex_2(X180,X179)
| v1_tsp_1(X180,X179) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
cnf(c_0_56,negated_conjecture,
( v3_tex_2(esk12_1(X1),esk1_0)
| ~ l1_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_44]) ).
cnf(c_0_57,plain,
( esk14_1(X1) = esk12_1(X2)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_53]) ).
fof(c_0_58,plain,
! [X200,X201] :
( ( m1_subset_1(esk17_2(X200,X201),k1_zfmisc_1(u1_struct_0(X200)))
| ~ v1_tsp_1(X201,X200)
| ~ m1_subset_1(X201,k1_zfmisc_1(u1_struct_0(X200)))
| v3_struct_0(X200)
| ~ v2_pre_topc(X200)
| ~ l1_pre_topc(X200) )
& ( r1_tarski(X201,esk17_2(X200,X201))
| ~ v1_tsp_1(X201,X200)
| ~ m1_subset_1(X201,k1_zfmisc_1(u1_struct_0(X200)))
| v3_struct_0(X200)
| ~ v2_pre_topc(X200)
| ~ l1_pre_topc(X200) )
& ( v1_tsp_2(esk17_2(X200,X201),X200)
| ~ v1_tsp_1(X201,X200)
| ~ m1_subset_1(X201,k1_zfmisc_1(u1_struct_0(X200)))
| v3_struct_0(X200)
| ~ v2_pre_topc(X200)
| ~ l1_pre_topc(X200) ) ),
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_54])])])])]) ).
cnf(c_0_59,plain,
( v3_struct_0(X1)
| v1_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_tex_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,plain,
( m1_subset_1(esk14_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,negated_conjecture,
( v3_tex_2(esk14_1(X1),esk1_0)
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,plain,
( v1_tsp_2(esk17_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,plain,
( v1_tsp_1(esk14_1(X1),X1)
| v3_struct_0(X1)
| ~ v3_tex_2(esk14_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
( v3_tex_2(esk14_1(X1),esk1_0)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_44]) ).
cnf(c_0_65,plain,
( v1_tsp_2(esk17_2(X1,esk14_1(X1)),X1)
| v3_struct_0(X1)
| ~ v1_tsp_1(esk14_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_60]) ).
cnf(c_0_66,negated_conjecture,
v1_tsp_1(esk14_1(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_40]),c_0_47])]),c_0_48]) ).
cnf(c_0_67,plain,
( m1_subset_1(esk17_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v1_tsp_1(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_69,negated_conjecture,
v1_tsp_2(esk17_2(esk1_0,esk14_1(esk1_0)),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_40]),c_0_47])]),c_0_48]) ).
cnf(c_0_70,plain,
( m1_subset_1(esk17_2(X1,esk14_1(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v1_tsp_1(esk14_1(X1),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_60]) ).
cnf(c_0_71,negated_conjecture,
~ m1_subset_1(esk17_2(esk1_0,esk14_1(esk1_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_66]),c_0_40]),c_0_47])]),c_0_71]),c_0_48]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : TOP028+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.06 % 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
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Tue May 5 09:55:46 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.36/1.68 % Version : CSE_E---1.7
% 1.36/1.68 % Problem : theBenchmark.p
% 1.36/1.68 % SZS status Theorem for theBenchmark.p
% 1.36/1.68 % SZS output start CNFRefutation
% See solution above
% 1.36/1.68 % Total time : 1.361s
%------------------------------------------------------------------------------