TSTP Solution File: TOP028+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP028+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 21:25:30 EDT 2022
% Result : Theorem 3.49s 5.70s
% Output : CNFRefutation 3.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 16 unt; 0 def)
% Number of atoms : 329 ( 23 equ)
% Maximal formula atoms : 194 ( 7 avg)
% Number of connectives : 490 ( 206 ~; 220 |; 50 &)
% ( 2 <=>; 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; 2 con; 0-4 aty)
% Number of variables : 73 ( 8 sgn 41 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+1.ax',reflexivity_r1_tarski) ).
fof(t3_xboole_1,axiom,
! [X1] :
( r1_tarski(X1,k1_xboole_0)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t3_xboole_1) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t10_tsp_2) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+9.ax',t5_subset) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t9_tsp_2) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+406.ax',d8_tsp_1) ).
fof(t2_xboole_1,axiom,
! [X1] : r1_tarski(k1_xboole_0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+4.ax',t2_xboole_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,
! [X2] :
( ~ r1_tarski(X2,k1_xboole_0)
| X2 = k1_xboole_0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_xboole_1])]) ).
fof(c_0_12,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]) ).
fof(c_0_13,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_14,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( X1 = k1_xboole_0
| ~ r1_tarski(X1,k1_xboole_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_18,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_19,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_12])])])])])])]) ).
fof(c_0_20,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])])])])])])])]) ).
cnf(c_0_21,plain,
( ~ v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_23,plain,
! [X6,X7,X8,X9,X14,X15] :
( ( m1_subset_1(esk18_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| m1_subset_1(esk17_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(esk18_4(X6,X7,X8,X9),X6)
| m1_subset_1(esk17_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,esk18_4(X6,X7,X8,X9))
| m1_subset_1(esk17_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,esk18_4(X6,X7,X8,X9))
| m1_subset_1(esk17_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(esk18_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| v3_pre_topc(esk17_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(esk18_4(X6,X7,X8,X9),X6)
| v3_pre_topc(esk17_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,esk18_4(X6,X7,X8,X9))
| v3_pre_topc(esk17_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,esk18_4(X6,X7,X8,X9))
| v3_pre_topc(esk17_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(esk18_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| r2_hidden(X8,esk17_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(esk18_4(X6,X7,X8,X9),X6)
| r2_hidden(X8,esk17_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,esk18_4(X6,X7,X8,X9))
| r2_hidden(X8,esk17_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,esk18_4(X6,X7,X8,X9))
| r2_hidden(X8,esk17_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(esk18_4(X6,X7,X8,X9),k1_zfmisc_1(u1_struct_0(X6)))
| ~ r2_hidden(X9,esk17_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(esk18_4(X6,X7,X8,X9),X6)
| ~ r2_hidden(X9,esk17_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,esk18_4(X6,X7,X8,X9))
| ~ r2_hidden(X9,esk17_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,esk18_4(X6,X7,X8,X9))
| ~ r2_hidden(X9,esk17_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(esk19_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(esk20_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(esk19_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(esk20_2(X6,X7),X7)
| v1_tsp_1(X7,X6)
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X6)))
| ~ l1_pre_topc(X6) )
& ( esk19_2(X6,X7) != esk20_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(esk19_2(X6,X7),X14)
| r2_hidden(esk20_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(esk19_2(X6,X7),X15)
| ~ r2_hidden(esk20_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_24,plain,
( X1 = k1_xboole_0
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_xboole_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,plain,
m1_subset_1(esk6_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X2] : r1_tarski(k1_xboole_0,X2),
inference(variable_rename,[status(thm)],[t2_xboole_1]) ).
cnf(c_0_27,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_19]) ).
cnf(c_0_28,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_20]) ).
cnf(c_0_29,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_33,plain,
( v1_tsp_1(X2,X1)
| r2_hidden(esk20_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_23]) ).
cnf(c_0_34,plain,
v1_xboole_0(esk6_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35,plain,
esk6_1(k1_xboole_0) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_36,plain,
r1_tarski(k1_xboole_0,X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,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_27,c_0_28]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_38,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_20]) ).
cnf(c_0_39,plain,
( v1_tsp_1(X1,X2)
| ~ l1_pre_topc(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
v1_xboole_0(k1_xboole_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_14,c_0_36]) ).
cnf(c_0_42,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_37,c_0_38]),c_0_29]),c_0_30])]),c_0_31]) ).
cnf(c_0_43,plain,
( v1_tsp_1(k1_xboole_0,X1)
| ~ l1_pre_topc(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_41]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : TOP028+4 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.09 % Command : run_ET %s %d
% 0.08/0.29 % Computer : n025.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Sun May 29 06:16:16 EDT 2022
% 0.08/0.29 % CPUTime :
% 3.49/5.70 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 3.49/5.70 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 3.49/5.70 # Preprocessing time : 1.851 s
% 3.49/5.70
% 3.49/5.70 # Proof found!
% 3.49/5.70 # SZS status Theorem
% 3.49/5.70 # SZS output start CNFRefutation
% See solution above
% 3.49/5.70 # Proof object total steps : 45
% 3.49/5.70 # Proof object clause steps : 26
% 3.49/5.70 # Proof object formula steps : 19
% 3.49/5.70 # Proof object conjectures : 10
% 3.49/5.70 # Proof object clause conjectures : 7
% 3.49/5.70 # Proof object formula conjectures : 3
% 3.49/5.70 # Proof object initial clauses used : 15
% 3.49/5.70 # Proof object initial formulas used : 9
% 3.49/5.70 # Proof object generating inferences : 11
% 3.49/5.70 # Proof object simplifying inferences : 13
% 3.49/5.70 # Training examples: 0 positive, 0 negative
% 3.49/5.70 # Parsed axioms : 34391
% 3.49/5.70 # Removed by relevancy pruning/SinE : 34290
% 3.49/5.70 # Initial clauses : 246
% 3.49/5.70 # Removed in clause preprocessing : 8
% 3.49/5.70 # Initial clauses in saturation : 238
% 3.49/5.70 # Processed clauses : 983
% 3.49/5.70 # ...of these trivial : 1
% 3.49/5.70 # ...subsumed : 390
% 3.49/5.70 # ...remaining for further processing : 592
% 3.49/5.70 # Other redundant clauses eliminated : 8
% 3.49/5.70 # Clauses deleted for lack of memory : 0
% 3.49/5.70 # Backward-subsumed : 19
% 3.49/5.70 # Backward-rewritten : 16
% 3.49/5.70 # Generated clauses : 3956
% 3.49/5.70 # ...of the previous two non-trivial : 3621
% 3.49/5.70 # Contextual simplify-reflections : 209
% 3.49/5.70 # Paramodulations : 3920
% 3.49/5.70 # Factorizations : 0
% 3.49/5.70 # Equation resolutions : 36
% 3.49/5.70 # Current number of processed clauses : 549
% 3.49/5.70 # Positive orientable unit clauses : 26
% 3.49/5.70 # Positive unorientable unit clauses: 0
% 3.49/5.70 # Negative unit clauses : 30
% 3.49/5.70 # Non-unit-clauses : 493
% 3.49/5.70 # Current number of unprocessed clauses: 2728
% 3.49/5.70 # ...number of literals in the above : 14418
% 3.49/5.70 # Current number of archived formulas : 0
% 3.49/5.70 # Current number of archived clauses : 35
% 3.49/5.70 # Clause-clause subsumption calls (NU) : 70802
% 3.49/5.70 # Rec. Clause-clause subsumption calls : 23526
% 3.49/5.70 # Non-unit clause-clause subsumptions : 468
% 3.49/5.70 # Unit Clause-clause subsumption calls : 4909
% 3.49/5.70 # Rewrite failures with RHS unbound : 0
% 3.49/5.70 # BW rewrite match attempts : 48
% 3.49/5.70 # BW rewrite match successes : 7
% 3.49/5.70 # Condensation attempts : 0
% 3.49/5.70 # Condensation successes : 0
% 3.49/5.70 # Termbank termtop insertions : 1097682
% 3.49/5.70
% 3.49/5.70 # -------------------------------------------------
% 3.49/5.70 # User time : 1.895 s
% 3.49/5.70 # System time : 0.061 s
% 3.49/5.70 # Total time : 1.956 s
% 3.49/5.70 # Maximum resident set size: 82388 pages
%------------------------------------------------------------------------------