TSTP Solution File: TOP034+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP034+1 : 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 21:25:31 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 239 ( 0 equ)
% Maximal formula atoms : 46 ( 7 avg)
% Number of connectives : 337 ( 129 ~; 158 |; 39 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 1 sgn 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d20_borsuk_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& m1_pre_topc(X2,X1) )
=> ( r1_borsuk_1(X1,X2)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v3_borsuk_1(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d20_borsuk_1) ).
fof(t22_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v5_pre_topc(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
& v3_borsuk_1(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t22_tsp_2) ).
fof(redefinition_m2_tsp_1,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m2_tsp_1(X2,X1)
<=> m1_pre_topc(X2,X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_tsp_1) ).
fof(t23_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> r1_borsuk_1(X1,X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t23_tsp_2) ).
fof(c_0_4,plain,
! [X4,X5,X7] :
( ( v1_funct_1(esk3_2(X4,X5))
| ~ r1_borsuk_1(X4,X5)
| v3_struct_0(X5)
| ~ m1_pre_topc(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( v1_funct_2(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X5))
| ~ r1_borsuk_1(X4,X5)
| v3_struct_0(X5)
| ~ m1_pre_topc(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( v5_pre_topc(esk3_2(X4,X5),X4,X5)
| ~ r1_borsuk_1(X4,X5)
| v3_struct_0(X5)
| ~ m1_pre_topc(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( m2_relset_1(esk3_2(X4,X5),u1_struct_0(X4),u1_struct_0(X5))
| ~ r1_borsuk_1(X4,X5)
| v3_struct_0(X5)
| ~ m1_pre_topc(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( v3_borsuk_1(esk3_2(X4,X5),X4,X5)
| ~ r1_borsuk_1(X4,X5)
| v3_struct_0(X5)
| ~ m1_pre_topc(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X4),u1_struct_0(X5))
| ~ v5_pre_topc(X7,X4,X5)
| ~ m2_relset_1(X7,u1_struct_0(X4),u1_struct_0(X5))
| ~ v3_borsuk_1(X7,X4,X5)
| r1_borsuk_1(X4,X5)
| v3_struct_0(X5)
| ~ m1_pre_topc(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) ) ),
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)],[inference(fof_simplification,[status(thm)],[d20_borsuk_1])])])])])])])]) ).
fof(c_0_5,plain,
! [X4,X5] :
( ( v1_funct_1(esk6_2(X4,X5))
| v3_struct_0(X5)
| ~ v2_tsp_2(X5,X4)
| ~ m2_tsp_1(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( v1_funct_2(esk6_2(X4,X5),u1_struct_0(X4),u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v2_tsp_2(X5,X4)
| ~ m2_tsp_1(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( v5_pre_topc(esk6_2(X4,X5),X4,X5)
| v3_struct_0(X5)
| ~ v2_tsp_2(X5,X4)
| ~ m2_tsp_1(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( m2_relset_1(esk6_2(X4,X5),u1_struct_0(X4),u1_struct_0(X5))
| v3_struct_0(X5)
| ~ v2_tsp_2(X5,X4)
| ~ m2_tsp_1(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) )
& ( v3_borsuk_1(esk6_2(X4,X5),X4,X5)
| v3_struct_0(X5)
| ~ v2_tsp_2(X5,X4)
| ~ m2_tsp_1(X5,X4)
| v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4) ) ),
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)],[inference(fof_simplification,[status(thm)],[t22_tsp_2])])])])])])])]) ).
fof(c_0_6,plain,
! [X3,X4,X4] :
( ( ~ m2_tsp_1(X4,X3)
| m1_pre_topc(X4,X3)
| ~ l1_pre_topc(X3) )
& ( ~ m1_pre_topc(X4,X3)
| m2_tsp_1(X4,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)],[redefinition_m2_tsp_1])])])])])]) ).
cnf(c_0_7,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r1_borsuk_1(X1,X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_pre_topc(X2,X1)
| ~ v3_borsuk_1(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(X3,X1,X2)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_2(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( m2_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m1_pre_topc(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( r1_borsuk_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_borsuk_1(esk6_2(X1,X2),X1,X2)
| ~ m2_relset_1(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(esk6_2(X1,X2),X1,X2)
| ~ v1_funct_1(esk6_2(X1,X2))
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_11,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_borsuk_1(esk6_2(X1,X2),X1,X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,plain,
( r1_borsuk_1(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_relset_1(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v5_pre_topc(esk6_2(X1,X2),X1,X2)
| ~ v1_funct_1(esk6_2(X1,X2))
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9]) ).
cnf(c_0_13,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v5_pre_topc(esk6_2(X1,X2),X1,X2)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_tsp_2(X2,X1)
& m2_tsp_1(X2,X1) )
=> r1_borsuk_1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[t23_tsp_2]) ).
cnf(c_0_15,plain,
( r1_borsuk_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m2_relset_1(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(esk6_2(X1,X2))
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_9]) ).
cnf(c_0_16,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v1_funct_1(esk6_2(X1,X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_17,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ v3_struct_0(esk2_0)
& v2_tsp_2(esk2_0,esk1_0)
& m2_tsp_1(esk2_0,esk1_0)
& ~ r1_borsuk_1(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_14])])])])])]) ).
cnf(c_0_18,plain,
( r1_borsuk_1(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m2_relset_1(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_9]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| m2_relset_1(esk6_2(X1,X2),u1_struct_0(X1),u1_struct_0(X2))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m2_tsp_1(X2,X1)
| ~ v2_tsp_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,plain,
( m1_pre_topc(X2,X1)
| ~ l1_pre_topc(X1)
| ~ m2_tsp_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
m2_tsp_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
~ r1_borsuk_1(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( r1_borsuk_1(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_pre_topc(X2,X1)
| ~ v2_tsp_2(X2,X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_9]) ).
cnf(c_0_25,negated_conjecture,
m1_pre_topc(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_26,negated_conjecture,
v2_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,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(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26]),c_0_22]),c_0_27])]),c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : TOP034+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun May 29 05:28:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.018 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 31
% 0.24/1.41 # Proof object clause steps : 22
% 0.24/1.41 # Proof object formula steps : 9
% 0.24/1.41 # Proof object conjectures : 12
% 0.24/1.41 # Proof object clause conjectures : 9
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 15
% 0.24/1.41 # Proof object initial formulas used : 4
% 0.24/1.41 # Proof object generating inferences : 7
% 0.24/1.41 # Proof object simplifying inferences : 14
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 95
% 0.24/1.41 # Removed by relevancy pruning/SinE : 81
% 0.24/1.41 # Initial clauses : 33
% 0.24/1.41 # Removed in clause preprocessing : 3
% 0.24/1.41 # Initial clauses in saturation : 30
% 0.24/1.41 # Processed clauses : 49
% 0.24/1.41 # ...of these trivial : 0
% 0.24/1.41 # ...subsumed : 3
% 0.24/1.41 # ...remaining for further processing : 46
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 4
% 0.24/1.41 # Backward-rewritten : 1
% 0.24/1.41 # Generated clauses : 23
% 0.24/1.41 # ...of the previous two non-trivial : 19
% 0.24/1.41 # Contextual simplify-reflections : 5
% 0.24/1.41 # Paramodulations : 23
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 0
% 0.24/1.41 # Current number of processed clauses : 41
% 0.24/1.41 # Positive orientable unit clauses : 10
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 3
% 0.24/1.41 # Non-unit-clauses : 28
% 0.24/1.41 # Current number of unprocessed clauses: 0
% 0.24/1.41 # ...number of literals in the above : 0
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 5
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 376
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 16
% 0.24/1.41 # Non-unit clause-clause subsumptions : 12
% 0.24/1.41 # Unit Clause-clause subsumption calls : 5
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 1
% 0.24/1.41 # BW rewrite match successes : 1
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 4683
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.019 s
% 0.24/1.41 # System time : 0.002 s
% 0.24/1.41 # Total time : 0.021 s
% 0.24/1.41 # Maximum resident set size: 3172 pages
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