%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP025+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 21:25:28 EDT 2022
% Result : Theorem 0.46s 1.63s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 124 ( 21 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 148 ( 56 ~; 53 |; 24 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t3_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)))
=> ~ ( ( v3_pre_topc(X2,X1)
| v4_pre_topc(X2,X1) )
& v1_tsp_2(X2,X1)
& v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',t3_tsp_2) ).
fof(t58_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)))
=> ( v3_pre_topc(X2,X1)
=> k3_tex_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t58_tex_4) ).
fof(d5_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_2(X2,X1)
<=> ( v1_tsp_1(X2,X1)
& k3_tex_4(X1,X2) = u1_struct_0(X1) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',d5_tsp_2) ).
fof(d2_tex_2,axiom,
! [X1,X2] :
( m1_subset_1(X2,X1)
=> ( v1_tex_2(X2,X1)
<=> X2 != k3_tarski(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+387.ax',d2_tex_2) ).
fof(t99_zfmisc_1,axiom,
! [X1] : k3_tarski(k1_zfmisc_1(X1)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+6.ax',t99_zfmisc_1) ).
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/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t62_tex_4) ).
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)))
=> ~ ( ( v3_pre_topc(X2,X1)
| v4_pre_topc(X2,X1) )
& v1_tsp_2(X2,X1)
& v1_tex_2(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(assume_negation,[status(cth)],[t3_tsp_2]) ).
fof(c_0_7,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v3_pre_topc(X4,X3)
| k3_tex_4(X3,X4) = X4 ),
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)],[t58_tex_4])])])])])]) ).
fof(c_0_8,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& ( v3_pre_topc(esk2_0,esk1_0)
| v4_pre_topc(esk2_0,esk1_0) )
& v1_tsp_2(esk2_0,esk1_0)
& v1_tex_2(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
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_9,plain,
! [X3,X4] :
( ( v1_tsp_1(X4,X3)
| ~ v1_tsp_2(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( k3_tex_4(X3,X4) = u1_struct_0(X3)
| ~ v1_tsp_2(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) )
& ( ~ v1_tsp_1(X4,X3)
| k3_tex_4(X3,X4) != u1_struct_0(X3)
| v1_tsp_2(X4,X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3) ) ),
inference(distribute,[status(thm)],[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)],[d5_tsp_2])])])])])])]) ).
fof(c_0_10,plain,
! [X3,X4] :
( ( ~ v1_tex_2(X4,X3)
| X4 != k3_tarski(X3)
| ~ m1_subset_1(X4,X3) )
& ( X4 = k3_tarski(X3)
| v1_tex_2(X4,X3)
| ~ m1_subset_1(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_tex_2])])]) ).
fof(c_0_11,plain,
! [X2] : k3_tarski(k1_zfmisc_1(X2)) = X2,
inference(variable_rename,[status(thm)],[t99_zfmisc_1]) ).
fof(c_0_12,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ v4_pre_topc(X4,X3)
| k3_tex_4(X3,X4) = X4 ),
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)],[t62_tex_4])])])])])]) ).
cnf(c_0_13,plain,
( k3_tex_4(X1,X2) = X2
| v3_struct_0(X1)
| ~ v3_pre_topc(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( v3_struct_0(X1)
| k3_tex_4(X1,X2) = 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_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,plain,
( ~ m1_subset_1(X1,X2)
| X1 != k3_tarski(X2)
| ~ v1_tex_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
v1_tex_2(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
k3_tarski(k1_zfmisc_1(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,plain,
( k3_tex_4(X1,X2) = X2
| v3_struct_0(X1)
| ~ v4_pre_topc(X2,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
( k3_tex_4(esk1_0,esk2_0) = esk2_0
| ~ v3_pre_topc(esk2_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_13,c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_25,negated_conjecture,
k3_tex_4(esk1_0,esk2_0) = u1_struct_0(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_18,c_0_14]),c_0_19]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_26,negated_conjecture,
esk2_0 != u1_struct_0(esk1_0),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14])]),c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( k3_tex_4(esk1_0,esk2_0) = esk2_0
| ~ v4_pre_topc(esk2_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_23,c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_28,negated_conjecture,
( v4_pre_topc(esk2_0,esk1_0)
| v3_pre_topc(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_29,negated_conjecture,
~ v3_pre_topc(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
~ v4_pre_topc(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_25]),c_0_26]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : TOP025+2 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun May 29 10:26:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.46/1.63 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.46/1.63 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.46/1.63 # Preprocessing time : 0.172 s
% 0.46/1.63
% 0.46/1.63 # Proof found!
% 0.46/1.63 # SZS status Theorem
% 0.46/1.63 # SZS output start CNFRefutation
% See solution above
% 0.46/1.64 # Proof object total steps : 32
% 0.46/1.64 # Proof object clause steps : 19
% 0.46/1.64 # Proof object formula steps : 13
% 0.46/1.64 # Proof object conjectures : 17
% 0.46/1.64 # Proof object clause conjectures : 14
% 0.46/1.64 # Proof object formula conjectures : 3
% 0.46/1.64 # Proof object initial clauses used : 12
% 0.46/1.64 # Proof object initial formulas used : 6
% 0.46/1.64 # Proof object generating inferences : 4
% 0.46/1.64 # Proof object simplifying inferences : 22
% 0.46/1.64 # Training examples: 0 positive, 0 negative
% 0.46/1.64 # Parsed axioms : 3584
% 0.46/1.64 # Removed by relevancy pruning/SinE : 3265
% 0.46/1.64 # Initial clauses : 730
% 0.46/1.64 # Removed in clause preprocessing : 17
% 0.46/1.64 # Initial clauses in saturation : 713
% 0.46/1.64 # Processed clauses : 782
% 0.46/1.64 # ...of these trivial : 2
% 0.46/1.64 # ...subsumed : 49
% 0.46/1.64 # ...remaining for further processing : 730
% 0.46/1.64 # Other redundant clauses eliminated : 24
% 0.46/1.64 # Clauses deleted for lack of memory : 0
% 0.46/1.64 # Backward-subsumed : 3
% 0.46/1.64 # Backward-rewritten : 11
% 0.46/1.64 # Generated clauses : 6384
% 0.46/1.64 # ...of the previous two non-trivial : 6242
% 0.46/1.64 # Contextual simplify-reflections : 201
% 0.46/1.64 # Paramodulations : 6347
% 0.46/1.64 # Factorizations : 2
% 0.46/1.64 # Equation resolutions : 33
% 0.46/1.64 # Current number of processed clauses : 690
% 0.46/1.64 # Positive orientable unit clauses : 80
% 0.46/1.64 # Positive unorientable unit clauses: 0
% 0.46/1.64 # Negative unit clauses : 11
% 0.46/1.64 # Non-unit-clauses : 599
% 0.46/1.64 # Current number of unprocessed clauses: 5613
% 0.46/1.64 # ...number of literals in the above : 21435
% 0.46/1.64 # Current number of archived formulas : 0
% 0.46/1.64 # Current number of archived clauses : 17
% 0.46/1.64 # Clause-clause subsumption calls (NU) : 188577
% 0.46/1.64 # Rec. Clause-clause subsumption calls : 7564
% 0.46/1.64 # Non-unit clause-clause subsumptions : 253
% 0.46/1.64 # Unit Clause-clause subsumption calls : 10177
% 0.46/1.64 # Rewrite failures with RHS unbound : 0
% 0.46/1.64 # BW rewrite match attempts : 6
% 0.46/1.64 # BW rewrite match successes : 5
% 0.46/1.64 # Condensation attempts : 0
% 0.46/1.64 # Condensation successes : 0
% 0.46/1.64 # Termbank termtop insertions : 283261
% 0.46/1.64
% 0.46/1.64 # -------------------------------------------------
% 0.46/1.64 # User time : 0.308 s
% 0.46/1.64 # System time : 0.010 s
% 0.46/1.64 # Total time : 0.318 s
% 0.46/1.64 # Maximum resident set size: 17776 pages
% 0.46/23.63 eprover: CPU time limit exceeded, terminating
% 0.46/23.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.64 eprover: No such file or directory
% 0.46/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.65 eprover: No such file or directory
% 0.46/23.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.65 eprover: No such file or directory
% 0.46/23.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.66 eprover: No such file or directory
% 0.46/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.67 eprover: No such file or directory
% 0.46/23.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.67 eprover: No such file or directory
% 0.46/23.68 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.68 eprover: No such file or directory
% 0.46/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.69 eprover: No such file or directory
% 0.46/23.69 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.69 eprover: No such file or directory
% 0.46/23.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.70 eprover: No such file or directory
% 0.46/23.70 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.46/23.70 eprover: No such file or directory
%------------------------------------------------------------------------------