%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP028+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 : 600s
% DateTime : Thu Jul 21 21:25:29 EDT 2022
% Result : Theorem 0.87s 2.05s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 12 unt; 0 def)
% Number of atoms : 331 ( 18 equ)
% Maximal formula atoms : 194 ( 7 avg)
% Number of connectives : 498 ( 209 ~; 221 |; 53 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-4 aty)
% Number of variables : 85 ( 16 sgn 49 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(d3_tarski,axiom,
! [X1,X2] :
( r1_tarski(X1,X2)
<=> ! [X3] :
( r2_hidden(X3,X1)
=> r2_hidden(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+1.ax',d3_tarski) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t10_tsp_2) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+7.ax',rc2_subset_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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t9_tsp_2) ).
fof(t7_ordinal1,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& r1_tarski(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+14.ax',t7_ordinal1) ).
fof(d8_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_1(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ~ ( r2_hidden(X3,X2)
& r2_hidden(X4,X2)
& X3 != X4
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& r2_hidden(X3,X5)
& ~ r2_hidden(X4,X5) ) )
& ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ~ ( v3_pre_topc(X5,X1)
& ~ r2_hidden(X3,X5)
& r2_hidden(X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+406.ax',d8_tsp_1) ).
fof(c_0_9,plain,
! [X3,X4,X3,X4] :
( ( ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| r1_tarski(X3,X4) )
& ( ~ r1_tarski(X3,X4)
| m1_subset_1(X3,k1_zfmisc_1(X4)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])])]) ).
fof(c_0_10,plain,
! [X3] : r1_tarski(X3,X3),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_11,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| ~ v1_xboole_0(X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_12,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_16,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ r1_tarski(X4,X5)
| ~ r2_hidden(X6,X4)
| r2_hidden(X6,X5) )
& ( r2_hidden(esk11_2(X4,X5),X4)
| r1_tarski(X4,X5) )
& ( ~ r2_hidden(esk11_2(X4,X5),X5)
| r1_tarski(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])]) ).
fof(c_0_17,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(assume_negation,[status(cth)],[t10_tsp_2]) ).
cnf(c_0_18,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( r1_tarski(X1,X2)
| r2_hidden(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X3] :
( m1_subset_1(esk6_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk6_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
fof(c_0_21,negated_conjecture,
! [X4] :
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v1_tsp_2(X4,esk1_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_17])])])])])])]) ).
fof(c_0_22,plain,
! [X4,X5] :
( ( m1_subset_1(esk3_2(X4,X5),k1_zfmisc_1(u1_struct_0(X4)))
| ~ v1_tsp_1(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( r1_tarski(X5,esk3_2(X4,X5))
| ~ v1_tsp_1(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( v1_tsp_2(esk3_2(X4,X5),X4)
| ~ v1_tsp_1(X5,X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t9_tsp_2])])])])])])])]) ).
fof(c_0_23,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ r1_tarski(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_ordinal1])]) ).
cnf(c_0_24,plain,
( r1_tarski(X1,X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
v1_xboole_0(esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( ~ v1_tsp_2(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( v3_struct_0(X1)
| v1_tsp_2(esk3_2(X1,X2),X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( ~ r1_tarski(X1,X2)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
r1_tarski(esk6_1(X1),X2),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_33,plain,
! [X6,X7,X8,X9,X14,X15] :
( ( m1_subset_1(esk16_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| m1_subset_1(esk15_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( v3_pre_topc(esk16_4(X6,X7,X8,X9),X6)
| m1_subset_1(esk15_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( ~ r2_hidden(X8,esk16_4(X6,X7,X8,X9))
| m1_subset_1(esk15_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( r2_hidden(X9,esk16_4(X6,X7,X8,X9))
| m1_subset_1(esk15_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( m1_subset_1(esk16_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| v3_pre_topc(esk15_4(X6,X7,X8,X9),X6)
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( v3_pre_topc(esk16_4(X6,X7,X8,X9),X6)
| v3_pre_topc(esk15_4(X6,X7,X8,X9),X6)
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( ~ r2_hidden(X8,esk16_4(X6,X7,X8,X9))
| v3_pre_topc(esk15_4(X6,X7,X8,X9),X6)
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( r2_hidden(X9,esk16_4(X6,X7,X8,X9))
| v3_pre_topc(esk15_4(X6,X7,X8,X9),X6)
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( m1_subset_1(esk16_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| r2_hidden(X8,esk15_4(X6,X7,X8,X9))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( v3_pre_topc(esk16_4(X6,X7,X8,X9),X6)
| r2_hidden(X8,esk15_4(X6,X7,X8,X9))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( ~ r2_hidden(X8,esk16_4(X6,X7,X8,X9))
| r2_hidden(X8,esk15_4(X6,X7,X8,X9))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( r2_hidden(X9,esk16_4(X6,X7,X8,X9))
| r2_hidden(X8,esk15_4(X6,X7,X8,X9))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( m1_subset_1(esk16_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| ~ r2_hidden(X9,esk15_4(X6,X7,X8,X9))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( v3_pre_topc(esk16_4(X6,X7,X8,X9),X6)
| ~ r2_hidden(X9,esk15_4(X6,X7,X8,X9))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( ~ r2_hidden(X8,esk16_4(X6,X7,X8,X9))
| ~ r2_hidden(X9,esk15_4(X6,X7,X8,X9))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( r2_hidden(X9,esk16_4(X6,X7,X8,X9))
| ~ r2_hidden(X9,esk15_4(X6,X7,X8,X9))
| ~ r2_hidden(X8,X7)
| ~ r2_hidden(X9,X7)
| X8 = X9
| ~ m1_subset_1(X9,u1_struct_0(X6))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| ~ v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( m1_subset_1(esk17_2(X6,X7),u1_struct_0(X6))
| v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( m1_subset_1(esk18_2(X6,X7),u1_struct_0(X6))
| v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( r2_hidden(esk17_2(X6,X7),X7)
| v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( r2_hidden(esk18_2(X6,X7),X7)
| v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( esk17_2(X6,X7) != esk18_2(X6,X7)
| v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( ~ m1_subset_1(X14,k1_zfmisc_1(u1_struct_0(X6)))
| ~ v3_pre_topc(X14,X6)
| ~ r2_hidden(esk17_2(X6,X7),X14)
| r2_hidden(esk18_2(X6,X7),X14)
| v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( ~ m1_subset_1(X15,k1_zfmisc_1(u1_struct_0(X6)))
| ~ v3_pre_topc(X15,X6)
| r2_hidden(esk17_2(X6,X7),X15)
| ~ r2_hidden(esk18_2(X6,X7),X15)
| v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d8_tsp_1])])])])])])])]) ).
cnf(c_0_34,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(esk3_2(esk1_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| m1_subset_1(esk3_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,plain,
~ r2_hidden(X1,esk6_1(X2)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
( v1_tsp_1(X2,X1)
| r2_hidden(esk18_2(X1,X2),X2)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
m1_subset_1(esk6_1(X1),k1_zfmisc_1(X2)),
inference(spm,[status(thm)],[c_0_12,c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_40,plain,
( v1_tsp_1(esk6_1(X1),X2)
| ~ l1_pre_topc(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : TOP028+3 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.11 % Command : run_ET %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sun May 29 11:03:57 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.87/2.05 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.87/2.05 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.87/2.05 # Preprocessing time : 0.429 s
% 0.87/2.05
% 0.87/2.05 # Proof found!
% 0.87/2.05 # SZS status Theorem
% 0.87/2.05 # SZS output start CNFRefutation
% See solution above
% 0.87/2.05 # Proof object total steps : 42
% 0.87/2.05 # Proof object clause steps : 23
% 0.87/2.05 # Proof object formula steps : 19
% 0.87/2.05 # Proof object conjectures : 10
% 0.87/2.05 # Proof object clause conjectures : 7
% 0.87/2.05 # Proof object formula conjectures : 3
% 0.87/2.05 # Proof object initial clauses used : 13
% 0.87/2.05 # Proof object initial formulas used : 9
% 0.87/2.05 # Proof object generating inferences : 10
% 0.87/2.05 # Proof object simplifying inferences : 13
% 0.87/2.05 # Training examples: 0 positive, 0 negative
% 0.87/2.05 # Parsed axioms : 13486
% 0.87/2.05 # Removed by relevancy pruning/SinE : 13385
% 0.87/2.05 # Initial clauses : 257
% 0.87/2.05 # Removed in clause preprocessing : 4
% 0.87/2.05 # Initial clauses in saturation : 253
% 0.87/2.05 # Processed clauses : 1404
% 0.87/2.05 # ...of these trivial : 5
% 0.87/2.05 # ...subsumed : 569
% 0.87/2.05 # ...remaining for further processing : 830
% 0.87/2.05 # Other redundant clauses eliminated : 9
% 0.87/2.05 # Clauses deleted for lack of memory : 0
% 0.87/2.05 # Backward-subsumed : 38
% 0.87/2.05 # Backward-rewritten : 8
% 0.87/2.05 # Generated clauses : 6252
% 0.87/2.05 # ...of the previous two non-trivial : 5842
% 0.87/2.05 # Contextual simplify-reflections : 271
% 0.87/2.05 # Paramodulations : 6201
% 0.87/2.05 # Factorizations : 0
% 0.87/2.05 # Equation resolutions : 51
% 0.87/2.05 # Current number of processed clauses : 776
% 0.87/2.05 # Positive orientable unit clauses : 36
% 0.87/2.05 # Positive unorientable unit clauses: 1
% 0.87/2.05 # Negative unit clauses : 34
% 0.87/2.05 # Non-unit-clauses : 705
% 0.87/2.05 # Current number of unprocessed clauses: 4471
% 0.87/2.05 # ...number of literals in the above : 21696
% 0.87/2.05 # Current number of archived formulas : 0
% 0.87/2.05 # Current number of archived clauses : 46
% 0.87/2.05 # Clause-clause subsumption calls (NU) : 167071
% 0.87/2.05 # Rec. Clause-clause subsumption calls : 102001
% 0.87/2.05 # Non-unit clause-clause subsumptions : 659
% 0.87/2.05 # Unit Clause-clause subsumption calls : 4395
% 0.87/2.05 # Rewrite failures with RHS unbound : 14
% 0.87/2.05 # BW rewrite match attempts : 122
% 0.87/2.05 # BW rewrite match successes : 10
% 0.87/2.05 # Condensation attempts : 0
% 0.87/2.05 # Condensation successes : 0
% 0.87/2.05 # Termbank termtop insertions : 467104
% 0.87/2.05
% 0.87/2.05 # -------------------------------------------------
% 0.87/2.05 # User time : 0.640 s
% 0.87/2.05 # System time : 0.025 s
% 0.87/2.05 # Total time : 0.665 s
% 0.87/2.05 # Maximum resident set size: 36500 pages
% 0.87/24.05 eprover: CPU time limit exceeded, terminating
% 0.87/24.05 eprover: CPU time limit exceeded, terminating
% 0.87/24.05 eprover: CPU time limit exceeded, terminating
% 0.87/24.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.07 eprover: No such file or directory
% 0.87/24.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.07 eprover: No such file or directory
% 0.87/24.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.07 eprover: No such file or directory
% 0.87/24.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.07 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.08 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.09 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.10 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.10 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.11 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.11 eprover: No such file or directory
% 0.87/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.12 eprover: No such file or directory
% 0.87/24.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.12 eprover: No such file or directory
%------------------------------------------------------------------------------