TSTP Solution File: SEU353+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU353+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 09:19:17 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 13 unt; 0 def)
% Number of atoms : 120 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 125 ( 50 ~; 39 |; 25 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-4 aty)
% Number of variables : 65 ( 10 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t91_tmap_1,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> apply_as_element(the_carrier(X1),the_carrier(X1),identity_on_carrier(X1),X2) = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t91_tmap_1) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc1_struct_0) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ empty(X1)
& function(X3)
& quasi_total(X3,X1,X2)
& relation_of2(X3,X1,X2)
& element(X4,X1) )
=> apply_as_element(X1,X2,X3,X4) = apply(X3,X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k8_funct_2) ).
fof(dt_k7_grcat_1,axiom,
! [X1] :
( one_sorted_str(X1)
=> ( function(identity_on_carrier(X1))
& quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
& relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_grcat_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
<=> relation_of2(X3,X1,X2) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(fc2_partfun1,axiom,
! [X1] :
( relation(identity_relation(X1))
& function(identity_relation(X1))
& reflexive(identity_relation(X1))
& symmetric(identity_relation(X1))
& antisymmetric(identity_relation(X1))
& transitive(identity_relation(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fc2_partfun1) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : identity_as_relation_of(X1) = identity_relation(X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_k6_partfun1) ).
fof(d11_grcat_1,axiom,
! [X1] :
( one_sorted_str(X1)
=> identity_on_carrier(X1) = identity_as_relation_of(the_carrier(X1)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d11_grcat_1) ).
fof(t35_funct_1,axiom,
! [X1,X2] :
( in(X2,X1)
=> apply(identity_relation(X1),X2) = X2 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t35_funct_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t2_subset) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> apply_as_element(the_carrier(X1),the_carrier(X1),identity_on_carrier(X1),X2) = X2 ) ),
inference(assume_negation,[status(cth)],[t91_tmap_1]) ).
fof(c_0_11,negated_conjecture,
( ~ empty_carrier(esk16_0)
& one_sorted_str(esk16_0)
& element(esk17_0,the_carrier(esk16_0))
& apply_as_element(the_carrier(esk16_0),the_carrier(esk16_0),identity_on_carrier(esk16_0),esk17_0) != esk17_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_10])])])])])]) ).
fof(c_0_12,plain,
! [X2] :
( empty_carrier(X2)
| ~ one_sorted_str(X2)
| ~ empty(the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_struct_0])])]) ).
fof(c_0_13,plain,
! [X5,X6,X7,X8] :
( empty(X5)
| ~ function(X7)
| ~ quasi_total(X7,X5,X6)
| ~ relation_of2(X7,X5,X6)
| ~ element(X8,X5)
| apply_as_element(X5,X6,X7,X8) = apply(X7,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2])])]) ).
cnf(c_0_14,negated_conjecture,
~ empty_carrier(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( empty_carrier(X1)
| ~ empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
one_sorted_str(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
apply_as_element(the_carrier(esk16_0),the_carrier(esk16_0),identity_on_carrier(esk16_0),esk17_0) != esk17_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( apply_as_element(X1,X2,X3,X4) = apply(X3,X4)
| empty(X1)
| ~ element(X4,X1)
| ~ relation_of2(X3,X1,X2)
| ~ quasi_total(X3,X1,X2)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
element(esk17_0,the_carrier(esk16_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
~ empty(the_carrier(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
fof(c_0_21,plain,
! [X2] :
( ( function(identity_on_carrier(X2))
| ~ one_sorted_str(X2) )
& ( quasi_total(identity_on_carrier(X2),the_carrier(X2),the_carrier(X2))
| ~ one_sorted_str(X2) )
& ( relation_of2_as_subset(identity_on_carrier(X2),the_carrier(X2),the_carrier(X2))
| ~ one_sorted_str(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_grcat_1])])]) ).
fof(c_0_22,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ relation_of2_as_subset(X6,X4,X5)
| relation_of2(X6,X4,X5) )
& ( ~ relation_of2(X6,X4,X5)
| relation_of2_as_subset(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
cnf(c_0_23,negated_conjecture,
( apply(identity_on_carrier(esk16_0),esk17_0) != esk17_0
| ~ quasi_total(identity_on_carrier(esk16_0),the_carrier(esk16_0),the_carrier(esk16_0))
| ~ function(identity_on_carrier(esk16_0))
| ~ relation_of2(identity_on_carrier(esk16_0),the_carrier(esk16_0),the_carrier(esk16_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_24,plain,
( quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,plain,
! [X2,X2,X2,X2,X2,X2] :
( relation(identity_relation(X2))
& function(identity_relation(X2))
& reflexive(identity_relation(X2))
& symmetric(identity_relation(X2))
& antisymmetric(identity_relation(X2))
& transitive(identity_relation(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[fc2_partfun1])])]) ).
fof(c_0_28,plain,
! [X2] : identity_as_relation_of(X2) = identity_relation(X2),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
cnf(c_0_29,negated_conjecture,
( apply(identity_on_carrier(esk16_0),esk17_0) != esk17_0
| ~ function(identity_on_carrier(esk16_0))
| ~ relation_of2(identity_on_carrier(esk16_0),the_carrier(esk16_0),the_carrier(esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_16])]) ).
cnf(c_0_30,plain,
( relation_of2(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_31,plain,
! [X2] :
( ~ one_sorted_str(X2)
| identity_on_carrier(X2) = identity_as_relation_of(the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_grcat_1])]) ).
cnf(c_0_32,plain,
function(identity_relation(X1)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
identity_as_relation_of(X1) = identity_relation(X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X3,X4] :
( ~ in(X4,X3)
| apply(identity_relation(X3),X4) = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t35_funct_1])]) ).
cnf(c_0_35,negated_conjecture,
( apply(identity_on_carrier(esk16_0),esk17_0) != esk17_0
| ~ function(identity_on_carrier(esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_16])]) ).
cnf(c_0_36,plain,
( identity_on_carrier(X1) = identity_as_relation_of(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,plain,
function(identity_as_relation_of(X1)),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,plain,
( apply(identity_relation(X1),X2) = X2
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
apply(identity_as_relation_of(the_carrier(esk16_0)),esk17_0) != esk17_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_16])]) ).
cnf(c_0_40,plain,
( apply(identity_as_relation_of(X1),X2) = X2
| ~ in(X2,X1) ),
inference(rw,[status(thm)],[c_0_38,c_0_33]) ).
fof(c_0_41,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_42,negated_conjecture,
~ in(esk17_0,the_carrier(esk16_0)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_19])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU353+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 11:49:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.42 # Preprocessing time : 0.018 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 45
% 0.24/1.42 # Proof object clause steps : 24
% 0.24/1.42 # Proof object formula steps : 21
% 0.24/1.42 # Proof object conjectures : 14
% 0.24/1.42 # Proof object clause conjectures : 11
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 14
% 0.24/1.42 # Proof object initial formulas used : 10
% 0.24/1.42 # Proof object generating inferences : 8
% 0.24/1.42 # Proof object simplifying inferences : 17
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 57
% 0.24/1.42 # Removed by relevancy pruning/SinE : 0
% 0.24/1.42 # Initial clauses : 110
% 0.24/1.42 # Removed in clause preprocessing : 21
% 0.24/1.42 # Initial clauses in saturation : 89
% 0.24/1.42 # Processed clauses : 138
% 0.24/1.42 # ...of these trivial : 4
% 0.24/1.42 # ...subsumed : 4
% 0.24/1.42 # ...remaining for further processing : 130
% 0.24/1.42 # Other redundant clauses eliminated : 0
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 3
% 0.24/1.42 # Backward-rewritten : 10
% 0.24/1.42 # Generated clauses : 107
% 0.24/1.42 # ...of the previous two non-trivial : 95
% 0.24/1.42 # Contextual simplify-reflections : 4
% 0.24/1.42 # Paramodulations : 104
% 0.24/1.42 # Factorizations : 0
% 0.24/1.42 # Equation resolutions : 0
% 0.24/1.42 # Current number of processed clauses : 116
% 0.24/1.42 # Positive orientable unit clauses : 55
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 12
% 0.24/1.42 # Non-unit-clauses : 49
% 0.24/1.42 # Current number of unprocessed clauses: 36
% 0.24/1.42 # ...number of literals in the above : 126
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 14
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 481
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 130
% 0.24/1.42 # Non-unit clause-clause subsumptions : 9
% 0.24/1.42 # Unit Clause-clause subsumption calls : 310
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 6
% 0.24/1.42 # BW rewrite match successes : 5
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 6250
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.022 s
% 0.24/1.42 # System time : 0.003 s
% 0.24/1.42 # Total time : 0.025 s
% 0.24/1.42 # Maximum resident set size: 3340 pages
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------