TSTP Solution File: TOP028+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP028+1 : 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 21:25:29 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 124 ( 5 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 158 ( 66 ~; 59 |; 23 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 49 ( 6 sgn 22 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_boole) ).
fof(rc2_subset_1,axiom,
! [X1] :
? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',rc2_subset_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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t11_tsp_1) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t35_tex_2) ).
fof(c_0_6,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_7,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_6])])])])])])]) ).
fof(c_0_8,plain,
! [X4,X5] :
( ( m1_subset_1(esk2_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,esk2_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(esk2_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_9,plain,
! [X3,X4] :
( ~ v1_xboole_0(X3)
| X3 = X4
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_10,plain,
! [X3] :
( m1_subset_1(esk5_1(X3),k1_zfmisc_1(X3))
& v1_xboole_0(esk5_1(X3)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_subset_1])]) ).
cnf(c_0_11,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_7]) ).
cnf(c_0_12,plain,
( v3_struct_0(X1)
| v1_tsp_2(esk2_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_8]) ).
cnf(c_0_13,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_16,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v3_tex_2(X4,X3)
| v1_tsp_1(X4,X3) ),
inference(shift_quantors,[status(thm)],[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)],[t11_tsp_1])])])])])]) ).
fof(c_0_17,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| v3_tex_2(X4,X3) ),
inference(shift_quantors,[status(thm)],[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)],[t35_tex_2])])])])])]) ).
cnf(c_0_18,plain,
( X2 = X1
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
v1_xboole_0(esk5_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
( ~ v1_tsp_1(X1,esk1_0)
| ~ m1_subset_1(esk2_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_11,c_0_12]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| m1_subset_1(esk2_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_8]) ).
cnf(c_0_22,plain,
( v1_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v3_tex_2(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( v3_tex_2(X1,X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_xboole_0(X1)
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( X1 = esk5_1(X2)
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,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_20,c_0_21]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_26,plain,
( v1_tsp_1(X1,X2)
| v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
m1_subset_1(esk5_1(X1),k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,plain,
esk5_1(X1) = esk5_1(X2),
inference(spm,[status(thm)],[c_0_24,c_0_19]) ).
cnf(c_0_29,negated_conjecture,
( ~ v1_xboole_0(X1)
| ~ 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_25,c_0_26]),c_0_13]),c_0_14])]),c_0_15]) ).
cnf(c_0_30,plain,
m1_subset_1(esk5_1(X1),k1_zfmisc_1(X2)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_19]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 03:47:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.020 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 32
% 0.22/1.40 # Proof object clause steps : 19
% 0.22/1.40 # Proof object formula steps : 13
% 0.22/1.40 # Proof object conjectures : 11
% 0.22/1.40 # Proof object clause conjectures : 8
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 11
% 0.22/1.40 # Proof object initial formulas used : 6
% 0.22/1.40 # Proof object generating inferences : 8
% 0.22/1.40 # Proof object simplifying inferences : 14
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 63
% 0.22/1.40 # Removed by relevancy pruning/SinE : 22
% 0.22/1.40 # Initial clauses : 107
% 0.22/1.40 # Removed in clause preprocessing : 3
% 0.22/1.40 # Initial clauses in saturation : 104
% 0.22/1.40 # Processed clauses : 364
% 0.22/1.40 # ...of these trivial : 14
% 0.22/1.40 # ...subsumed : 140
% 0.22/1.40 # ...remaining for further processing : 210
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 4
% 0.22/1.40 # Backward-rewritten : 7
% 0.22/1.40 # Generated clauses : 488
% 0.22/1.40 # ...of the previous two non-trivial : 432
% 0.22/1.40 # Contextual simplify-reflections : 84
% 0.22/1.40 # Paramodulations : 488
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 199
% 0.22/1.40 # Positive orientable unit clauses : 20
% 0.22/1.40 # Positive unorientable unit clauses: 1
% 0.22/1.40 # Negative unit clauses : 6
% 0.22/1.40 # Non-unit-clauses : 172
% 0.22/1.40 # Current number of unprocessed clauses: 120
% 0.22/1.40 # ...number of literals in the above : 579
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 11
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 11085
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 7768
% 0.22/1.40 # Non-unit clause-clause subsumptions : 221
% 0.22/1.40 # Unit Clause-clause subsumption calls : 468
% 0.22/1.40 # Rewrite failures with RHS unbound : 10
% 0.22/1.40 # BW rewrite match attempts : 25
% 0.22/1.40 # BW rewrite match successes : 10
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 12088
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.037 s
% 0.22/1.40 # System time : 0.002 s
% 0.22/1.40 # Total time : 0.039 s
% 0.22/1.40 # Maximum resident set size: 3712 pages
%------------------------------------------------------------------------------