TSTP Solution File: GRP641+3 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP641+3 : 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 : Sat Jul 16 09:02:42 EDT 2022
% Result : Theorem 0.94s 2.12s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 119 ( 4 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 149 ( 56 ~; 54 |; 26 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 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 : 30 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t19_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t19_latsubgr) ).
fof(t53_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k2_group_1(X2) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t53_group_2) ).
fof(t18_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t18_latsubgr) ).
fof(dt_k2_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',dt_k2_group_1) ).
fof(t55_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> r1_rlvect_1(X2,k2_group_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t55_group_2) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
inference(assume_negation,[status(cth)],[t19_latsubgr]) ).
fof(c_0_6,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_group_2(X4,X3)
| k2_group_1(X4) = k2_group_1(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)],[t53_group_2])])])])])]) ).
fof(c_0_7,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& v1_group_1(esk2_0)
& m1_group_2(esk2_0,esk1_0)
& ~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_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_5])])])])])]) ).
fof(c_0_8,plain,
! [X4,X5,X6] :
( ( ~ r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| r1_rlvect_1(X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) )
& ( ~ r1_rlvect_1(X5,X6)
| r2_hidden(X6,k1_funct_1(k1_latsubgr(X4),X5))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ v1_group_1(X5)
| ~ m1_group_2(X5,X4)
| v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ v4_group_1(X4)
| ~ l1_group_1(X4) ) ),
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)],[t18_latsubgr])])])])])])]) ).
fof(c_0_9,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_group_1(X2)
| m1_subset_1(k2_group_1(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k2_group_1])])]) ).
fof(c_0_10,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_group_2(X4,X3)
| r1_rlvect_1(X4,k2_group_1(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)],[t55_group_2])])])])])]) ).
cnf(c_0_11,plain,
( k2_group_1(X1) = k2_group_1(X2)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( v3_struct_0(X1)
| r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_rlvect_1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
( r1_rlvect_1(X1,k2_group_1(X2))
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,negated_conjecture,
~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,negated_conjecture,
k2_group_1(esk1_0) = k2_group_1(esk2_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_11,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_22,plain,
( v3_struct_0(X1)
| r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2))
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_24,negated_conjecture,
~ r2_hidden(k2_group_1(esk2_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_12]),c_0_21]),c_0_13]),c_0_14]),c_0_23]),c_0_15])]),c_0_16]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP641+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 10:25:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.94/2.12 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.94/2.12 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.94/2.12 # Preprocessing time : 0.487 s
% 0.94/2.12
% 0.94/2.12 # Proof found!
% 0.94/2.12 # SZS status Theorem
% 0.94/2.12 # SZS output start CNFRefutation
% See solution above
% 0.94/2.12 # Proof object total steps : 26
% 0.94/2.12 # Proof object clause steps : 15
% 0.94/2.12 # Proof object formula steps : 11
% 0.94/2.12 # Proof object conjectures : 13
% 0.94/2.12 # Proof object clause conjectures : 10
% 0.94/2.12 # Proof object formula conjectures : 3
% 0.94/2.12 # Proof object initial clauses used : 11
% 0.94/2.12 # Proof object initial formulas used : 5
% 0.94/2.12 # Proof object generating inferences : 3
% 0.94/2.12 # Proof object simplifying inferences : 15
% 0.94/2.12 # Training examples: 0 positive, 0 negative
% 0.94/2.12 # Parsed axioms : 13983
% 0.94/2.12 # Removed by relevancy pruning/SinE : 13882
% 0.94/2.12 # Initial clauses : 238
% 0.94/2.12 # Removed in clause preprocessing : 39
% 0.94/2.12 # Initial clauses in saturation : 199
% 0.94/2.12 # Processed clauses : 1426
% 0.94/2.12 # ...of these trivial : 14
% 0.94/2.12 # ...subsumed : 639
% 0.94/2.12 # ...remaining for further processing : 773
% 0.94/2.12 # Other redundant clauses eliminated : 9
% 0.94/2.12 # Clauses deleted for lack of memory : 0
% 0.94/2.12 # Backward-subsumed : 9
% 0.94/2.12 # Backward-rewritten : 49
% 0.94/2.12 # Generated clauses : 7569
% 0.94/2.12 # ...of the previous two non-trivial : 6872
% 0.94/2.12 # Contextual simplify-reflections : 458
% 0.94/2.12 # Paramodulations : 7539
% 0.94/2.12 # Factorizations : 2
% 0.94/2.12 # Equation resolutions : 28
% 0.94/2.12 # Current number of processed clauses : 715
% 0.94/2.12 # Positive orientable unit clauses : 42
% 0.94/2.12 # Positive unorientable unit clauses: 0
% 0.94/2.12 # Negative unit clauses : 13
% 0.94/2.12 # Non-unit-clauses : 660
% 0.94/2.12 # Current number of unprocessed clauses: 5385
% 0.94/2.12 # ...number of literals in the above : 32594
% 0.94/2.12 # Current number of archived formulas : 0
% 0.94/2.12 # Current number of archived clauses : 58
% 0.94/2.12 # Clause-clause subsumption calls (NU) : 166557
% 0.94/2.12 # Rec. Clause-clause subsumption calls : 61804
% 0.94/2.12 # Non-unit clause-clause subsumptions : 1038
% 0.94/2.12 # Unit Clause-clause subsumption calls : 1622
% 0.94/2.12 # Rewrite failures with RHS unbound : 0
% 0.94/2.12 # BW rewrite match attempts : 10
% 0.94/2.12 # BW rewrite match successes : 7
% 0.94/2.12 # Condensation attempts : 0
% 0.94/2.12 # Condensation successes : 0
% 0.94/2.12 # Termbank termtop insertions : 479697
% 0.94/2.12
% 0.94/2.12 # -------------------------------------------------
% 0.94/2.12 # User time : 0.666 s
% 0.94/2.12 # System time : 0.029 s
% 0.94/2.12 # Total time : 0.695 s
% 0.94/2.12 # Maximum resident set size: 38540 pages
% 0.94/24.11 eprover: CPU time limit exceeded, terminating
% 0.94/24.12 eprover: CPU time limit exceeded, terminating
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.18 eprover: No such file or directory
%------------------------------------------------------------------------------