TSTP Solution File: SWW358+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW358+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 00:10:38 EDT 2022
% Result : Theorem 0.86s 2.05s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 48 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 40 ( 3 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_finite__imageI,axiom,
! [X6,X7,X8,X9] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X9),X8))
=> hBOOL(hAPP(c_Finite__Set_Ofinite(X7),hAPP(c_Set_Oimage(X9,X7,X6),X8))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_finite__imageI) ).
fof(fact_card__mono,axiom,
! [X11,X10,X9] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X9),X10))
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),X11),X10))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X9),X11)),hAPP(c_Finite__Set_Ocard(X9),X10))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_card__mono) ).
fof(conj_0,hypothesis,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_card__seteq,axiom,
! [X11,X10,X9] :
( hBOOL(hAPP(c_Finite__Set_Ofinite(X9),X10))
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),X11),X10))
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X9),X10)),hAPP(c_Finite__Set_Ocard(X9),X11)))
=> X11 = X10 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_card__seteq) ).
fof(conj_2,hypothesis,
hAPP(c_Finite__Set_Ocard(t_a),v_G) = hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_2) ).
fof(conj_4,conjecture,
v_G = hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_4) ).
fof(fact_subset__refl,axiom,
! [X11,X9] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X9,tc_HOL_Obool)),X11),X11)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_subset__refl) ).
fof(conj_1,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(c_0_8,plain,
! [X10,X11,X12,X13] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X13),X12))
| hBOOL(hAPP(c_Finite__Set_Ofinite(X11),hAPP(c_Set_Oimage(X13,X11,X10),X12))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_finite__imageI])]) ).
fof(c_0_9,plain,
! [X12,X13,X14] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X14),X13))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool)),X12),X13))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X14),X12)),hAPP(c_Finite__Set_Ocard(X14),X13))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_card__mono])]) ).
cnf(c_0_10,plain,
( hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(X2,X1,X3),X4)))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X2),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,hypothesis,
hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)),
inference(split_conjunct,[status(thm)],[conj_0]) ).
fof(c_0_12,plain,
! [X12,X13,X14] :
( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X14),X13))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X14,tc_HOL_Obool)),X12),X13))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X14),X13)),hAPP(c_Finite__Set_Ocard(X14),X12)))
| X12 = X13 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_card__seteq])]) ).
cnf(c_0_13,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X1),X2)),hAPP(c_Finite__Set_Ocard(X1),X3)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X3))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X1),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,hypothesis,
hAPP(c_Finite__Set_Ocard(t_a),v_G) = hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)),
inference(split_conjunct,[status(thm)],[conj_2]) ).
cnf(c_0_15,hypothesis,
hBOOL(hAPP(c_Finite__Set_Ofinite(X1),hAPP(c_Set_Oimage(tc_Com_Opname,X1,X2),v_U))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_16,negated_conjecture,
v_G != hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),
inference(assume_negation,[status(cth)],[conj_4]) ).
cnf(c_0_17,plain,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(X3),X2)),hAPP(c_Finite__Set_Ocard(X3),X1)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X1),X2))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,hypothesis,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(t_a),X1)),hAPP(c_Finite__Set_Ocard(t_a),v_G)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X1),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
fof(c_0_19,plain,
! [X12,X13] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool)),X12),X12)),
inference(variable_rename,[status(thm)],[fact_subset__refl]) ).
fof(c_0_20,negated_conjecture,
v_G != hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
cnf(c_0_21,hypothesis,
( v_G = X1
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X1),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),X1))
| ~ hBOOL(hAPP(c_Finite__Set_Ofinite(t_a),X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),X2)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,hypothesis,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_24,negated_conjecture,
v_G != hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_15])]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW358+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 4 23:18:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.86/2.05 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.86/2.05 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.86/2.05 # Preprocessing time : 0.239 s
% 0.86/2.05
% 0.86/2.05 # Proof found!
% 0.86/2.05 # SZS status Theorem
% 0.86/2.05 # SZS output start CNFRefutation
% See solution above
% 0.86/2.05 # Proof object total steps : 26
% 0.86/2.05 # Proof object clause steps : 12
% 0.86/2.05 # Proof object formula steps : 14
% 0.86/2.05 # Proof object conjectures : 4
% 0.86/2.05 # Proof object clause conjectures : 1
% 0.86/2.05 # Proof object formula conjectures : 3
% 0.86/2.05 # Proof object initial clauses used : 8
% 0.86/2.05 # Proof object initial formulas used : 8
% 0.86/2.05 # Proof object generating inferences : 4
% 0.86/2.05 # Proof object simplifying inferences : 6
% 0.86/2.05 # Training examples: 0 positive, 0 negative
% 0.86/2.05 # Parsed axioms : 5228
% 0.86/2.05 # Removed by relevancy pruning/SinE : 5127
% 0.86/2.05 # Initial clauses : 134
% 0.86/2.05 # Removed in clause preprocessing : 0
% 0.86/2.05 # Initial clauses in saturation : 134
% 0.86/2.05 # Processed clauses : 483
% 0.86/2.05 # ...of these trivial : 13
% 0.86/2.05 # ...subsumed : 166
% 0.86/2.05 # ...remaining for further processing : 304
% 0.86/2.05 # Other redundant clauses eliminated : 19
% 0.86/2.05 # Clauses deleted for lack of memory : 0
% 0.86/2.05 # Backward-subsumed : 2
% 0.86/2.05 # Backward-rewritten : 7
% 0.86/2.05 # Generated clauses : 6150
% 0.86/2.05 # ...of the previous two non-trivial : 5845
% 0.86/2.05 # Contextual simplify-reflections : 27
% 0.86/2.05 # Paramodulations : 6110
% 0.86/2.05 # Factorizations : 6
% 0.86/2.05 # Equation resolutions : 34
% 0.86/2.05 # Current number of processed clauses : 282
% 0.86/2.05 # Positive orientable unit clauses : 47
% 0.86/2.05 # Positive unorientable unit clauses: 13
% 0.86/2.05 # Negative unit clauses : 9
% 0.86/2.05 # Non-unit-clauses : 213
% 0.86/2.05 # Current number of unprocessed clauses: 5258
% 0.86/2.05 # ...number of literals in the above : 13186
% 0.86/2.05 # Current number of archived formulas : 0
% 0.86/2.05 # Current number of archived clauses : 9
% 0.86/2.05 # Clause-clause subsumption calls (NU) : 6500
% 0.86/2.05 # Rec. Clause-clause subsumption calls : 5379
% 0.86/2.05 # Non-unit clause-clause subsumptions : 164
% 0.86/2.05 # Unit Clause-clause subsumption calls : 235
% 0.86/2.05 # Rewrite failures with RHS unbound : 103
% 0.86/2.05 # BW rewrite match attempts : 1346
% 0.86/2.05 # BW rewrite match successes : 24
% 0.86/2.05 # Condensation attempts : 0
% 0.86/2.05 # Condensation successes : 0
% 0.86/2.05 # Termbank termtop insertions : 350529
% 0.86/2.05
% 0.86/2.05 # -------------------------------------------------
% 0.86/2.05 # User time : 0.400 s
% 0.86/2.05 # System time : 0.017 s
% 0.86/2.05 # Total time : 0.417 s
% 0.86/2.05 # Maximum resident set size: 17608 pages
% 0.87/24.04 eprover: CPU time limit exceeded, terminating
% 0.87/24.05 eprover: CPU time limit exceeded, terminating
% 0.87/24.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.06 eprover: No such file or directory
% 0.87/24.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.87/24.06 eprover: No such file or directory
% 0.87/24.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.87/24.06 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.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.mepo_128.in
% 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.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.mepo_128.in
% 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.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
% 0.87/24.10 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
% 0.87/24.11 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
% 0.87/24.12 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
% 0.87/24.12 eprover: No such file or directory
%------------------------------------------------------------------------------