TSTP Solution File: SET734+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET734+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 : Tue Jul 19 00:53:28 EDT 2022
% Result : Theorem 0.26s 1.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 3 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 117 ( 45 ~; 45 |; 19 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-7 aty)
% Number of variables : 86 ( 6 sgn 43 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(surjective,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X6,X4,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(compose_function,axiom,
! [X10,X6,X1,X2,X11,X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',compose_function) ).
fof(thII25,conjecture,
! [X6,X10,X1,X2] :
( ( maps(X10,X1,X2)
& maps(X6,X2,X1)
& identity(compose_function(X10,X6,X2,X1,X2),X2) )
=> surjective(X10,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thII25) ).
fof(identity,axiom,
! [X6,X1] :
( identity(X6,X1)
<=> ! [X3] :
( member(X3,X1)
=> apply(X6,X3,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',identity) ).
fof(c_0_4,plain,
! [X7,X8,X9,X10,X7,X8,X9,X13] :
( ( member(esk5_4(X7,X8,X9,X10),X8)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( apply(X7,esk5_4(X7,X8,X9,X10),X10)
| ~ member(X10,X9)
| ~ surjective(X7,X8,X9) )
& ( member(esk6_3(X7,X8,X9),X9)
| surjective(X7,X8,X9) )
& ( ~ member(X13,X8)
| ~ apply(X7,X13,esk6_3(X7,X8,X9))
| surjective(X7,X8,X9) ) ),
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)],[surjective])])])])])])]) ).
fof(c_0_5,plain,
! [X13,X14,X15,X16,X17,X18,X19,X21] :
( ( member(esk8_7(X13,X14,X15,X16,X17,X18,X19),X16)
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( apply(X14,X18,esk8_7(X13,X14,X15,X16,X17,X18,X19))
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( apply(X13,esk8_7(X13,X14,X15,X16,X17,X18,X19),X19)
| ~ apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) )
& ( ~ member(X21,X16)
| ~ apply(X14,X18,X21)
| ~ apply(X13,X21,X19)
| apply(compose_function(X13,X14,X15,X16,X17),X18,X19)
| ~ member(X18,X15)
| ~ member(X19,X17) ) ),
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)],[compose_function])])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X6,X10,X1,X2] :
( ( maps(X10,X1,X2)
& maps(X6,X2,X1)
& identity(compose_function(X10,X6,X2,X1,X2),X2) )
=> surjective(X10,X1,X2) ),
inference(assume_negation,[status(cth)],[thII25]) ).
cnf(c_0_7,plain,
( surjective(X1,X2,X3)
| ~ apply(X1,X4,esk6_3(X1,X2,X3))
| ~ member(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( apply(X5,esk8_7(X5,X6,X4,X7,X2,X3,X1),X1)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,plain,
! [X7,X8,X9,X7,X8] :
( ( ~ identity(X7,X8)
| ~ member(X9,X8)
| apply(X7,X9,X9) )
& ( member(esk7_2(X7,X8),X8)
| identity(X7,X8) )
& ( ~ apply(X7,esk7_2(X7,X8),esk7_2(X7,X8))
| identity(X7,X8) ) ),
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)],[identity])])])])])])]) ).
fof(c_0_10,negated_conjecture,
( maps(esk2_0,esk3_0,esk4_0)
& maps(esk1_0,esk4_0,esk3_0)
& identity(compose_function(esk2_0,esk1_0,esk4_0,esk3_0,esk4_0),esk4_0)
& ~ surjective(esk2_0,esk3_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_11,plain,
( surjective(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X6,X7),X8,esk6_3(X1,X2,X3))
| ~ member(esk8_7(X1,X4,X5,X6,X7,X8,esk6_3(X1,X2,X3)),X2)
| ~ member(esk6_3(X1,X2,X3),X7)
| ~ member(X8,X5) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( member(esk8_7(X5,X6,X4,X7,X2,X3,X1),X7)
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ apply(compose_function(X5,X6,X4,X7,X2),X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
( apply(X1,X2,X2)
| ~ member(X2,X3)
| ~ identity(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
identity(compose_function(esk2_0,esk1_0,esk4_0,esk3_0,esk4_0),esk4_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( surjective(X1,X2,X3)
| ~ apply(compose_function(X1,X4,X5,X2,X6),X7,esk6_3(X1,X2,X3))
| ~ member(esk6_3(X1,X2,X3),X6)
| ~ member(X7,X5) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk4_0,esk3_0,esk4_0),X1,X1)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( surjective(esk2_0,esk3_0,X1)
| ~ member(esk6_3(esk2_0,esk3_0,X1),esk4_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,plain,
( surjective(X1,X2,X3)
| member(esk6_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,negated_conjecture,
~ surjective(esk2_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET734+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 9 19:52:17 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.26/1.44 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.44 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.44 # Preprocessing time : 0.018 s
% 0.26/1.44
% 0.26/1.44 # Proof found!
% 0.26/1.44 # SZS status Theorem
% 0.26/1.44 # SZS output start CNFRefutation
% See solution above
% 0.26/1.44 # Proof object total steps : 21
% 0.26/1.44 # Proof object clause steps : 12
% 0.26/1.44 # Proof object formula steps : 9
% 0.26/1.44 # Proof object conjectures : 8
% 0.26/1.44 # Proof object clause conjectures : 5
% 0.26/1.44 # Proof object formula conjectures : 3
% 0.26/1.44 # Proof object initial clauses used : 7
% 0.26/1.44 # Proof object initial formulas used : 4
% 0.26/1.44 # Proof object generating inferences : 5
% 0.26/1.44 # Proof object simplifying inferences : 1
% 0.26/1.44 # Training examples: 0 positive, 0 negative
% 0.26/1.44 # Parsed axioms : 29
% 0.26/1.44 # Removed by relevancy pruning/SinE : 24
% 0.26/1.44 # Initial clauses : 30
% 0.26/1.44 # Removed in clause preprocessing : 0
% 0.26/1.44 # Initial clauses in saturation : 30
% 0.26/1.44 # Processed clauses : 69
% 0.26/1.44 # ...of these trivial : 0
% 0.26/1.44 # ...subsumed : 1
% 0.26/1.44 # ...remaining for further processing : 68
% 0.26/1.44 # Other redundant clauses eliminated : 0
% 0.26/1.44 # Clauses deleted for lack of memory : 0
% 0.26/1.44 # Backward-subsumed : 0
% 0.26/1.44 # Backward-rewritten : 0
% 0.26/1.44 # Generated clauses : 103
% 0.26/1.44 # ...of the previous two non-trivial : 100
% 0.26/1.44 # Contextual simplify-reflections : 0
% 0.26/1.44 # Paramodulations : 103
% 0.26/1.44 # Factorizations : 0
% 0.26/1.44 # Equation resolutions : 0
% 0.26/1.44 # Current number of processed clauses : 68
% 0.26/1.44 # Positive orientable unit clauses : 4
% 0.26/1.44 # Positive unorientable unit clauses: 0
% 0.26/1.44 # Negative unit clauses : 1
% 0.26/1.44 # Non-unit-clauses : 63
% 0.26/1.44 # Current number of unprocessed clauses: 61
% 0.26/1.44 # ...number of literals in the above : 506
% 0.26/1.44 # Current number of archived formulas : 0
% 0.26/1.44 # Current number of archived clauses : 0
% 0.26/1.44 # Clause-clause subsumption calls (NU) : 928
% 0.26/1.44 # Rec. Clause-clause subsumption calls : 165
% 0.26/1.44 # Non-unit clause-clause subsumptions : 1
% 0.26/1.44 # Unit Clause-clause subsumption calls : 0
% 0.26/1.44 # Rewrite failures with RHS unbound : 0
% 0.26/1.44 # BW rewrite match attempts : 0
% 0.26/1.44 # BW rewrite match successes : 0
% 0.26/1.44 # Condensation attempts : 0
% 0.26/1.44 # Condensation successes : 0
% 0.26/1.44 # Termbank termtop insertions : 6384
% 0.26/1.44
% 0.26/1.44 # -------------------------------------------------
% 0.26/1.44 # User time : 0.025 s
% 0.26/1.44 # System time : 0.003 s
% 0.26/1.44 # Total time : 0.028 s
% 0.26/1.44 # Maximum resident set size: 3324 pages
% 0.26/23.43 eprover: CPU time limit exceeded, terminating
% 0.26/23.45 eprover: CPU time limit exceeded, terminating
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------