TSTP Solution File: SEU044+1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 300s
% DateTime : Sat May 4 09:24:58 EDT 2024
% Result : Theorem 0.22s 0.52s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 177 ( 19 equ)
% Maximal formula atoms : 79 ( 6 avg)
% Number of connectives : 255 ( 105 ~; 115 |; 24 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 50 ( 4 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t85_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_rng_restriction(X1,X3)
<=> ( ! [X4] :
( in(X4,relation_dom(X2))
<=> ( in(X4,relation_dom(X3))
& in(apply(X3,X4),X1) ) )
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OGZfmV1EKy/E---3.1_20886.p',t85_funct_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.OGZfmV1EKy/E---3.1_20886.p',dt_k8_relat_1) ).
fof(fc5_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( relation(relation_rng_restriction(X1,X2))
& function(relation_rng_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OGZfmV1EKy/E---3.1_20886.p',fc5_funct_1) ).
fof(t86_funct_1,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_rng_restriction(X1,X3)))
<=> ( in(X2,relation_dom(X3))
& in(apply(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OGZfmV1EKy/E---3.1_20886.p',t86_funct_1) ).
fof(c_0_4,plain,
! [X22,X23,X24,X25,X26,X27] :
( ( in(X25,relation_dom(X24))
| ~ in(X25,relation_dom(X23))
| X23 != relation_rng_restriction(X22,X24)
| ~ relation(X24)
| ~ function(X24)
| ~ relation(X23)
| ~ function(X23) )
& ( in(apply(X24,X25),X22)
| ~ in(X25,relation_dom(X23))
| X23 != relation_rng_restriction(X22,X24)
| ~ relation(X24)
| ~ function(X24)
| ~ relation(X23)
| ~ function(X23) )
& ( ~ in(X26,relation_dom(X24))
| ~ in(apply(X24,X26),X22)
| in(X26,relation_dom(X23))
| X23 != relation_rng_restriction(X22,X24)
| ~ relation(X24)
| ~ function(X24)
| ~ relation(X23)
| ~ function(X23) )
& ( ~ in(X27,relation_dom(X23))
| apply(X23,X27) = apply(X24,X27)
| X23 != relation_rng_restriction(X22,X24)
| ~ relation(X24)
| ~ function(X24)
| ~ relation(X23)
| ~ function(X23) )
& ( in(esk5_3(X22,X23,X24),relation_dom(X23))
| ~ in(esk4_3(X22,X23,X24),relation_dom(X23))
| ~ in(esk4_3(X22,X23,X24),relation_dom(X24))
| ~ in(apply(X24,esk4_3(X22,X23,X24)),X22)
| X23 = relation_rng_restriction(X22,X24)
| ~ relation(X24)
| ~ function(X24)
| ~ relation(X23)
| ~ function(X23) )
& ( apply(X23,esk5_3(X22,X23,X24)) != apply(X24,esk5_3(X22,X23,X24))
| ~ in(esk4_3(X22,X23,X24),relation_dom(X23))
| ~ in(esk4_3(X22,X23,X24),relation_dom(X24))
| ~ in(apply(X24,esk4_3(X22,X23,X24)),X22)
| X23 = relation_rng_restriction(X22,X24)
| ~ relation(X24)
| ~ function(X24)
| ~ relation(X23)
| ~ function(X23) )
& ( in(esk5_3(X22,X23,X24),relation_dom(X23))
| in(esk4_3(X22,X23,X24),relation_dom(X24))
| in(esk4_3(X22,X23,X24),relation_dom(X23))
| X23 = relation_rng_restriction(X22,X24)
| ~ relation(X24)
| ~ function(X24)
| ~ relation(X23)
| ~ function(X23) )
& ( apply(X23,esk5_3(X22,X23,X24)) != apply(X24,esk5_3(X22,X23,X24))
| in(esk4_3(X22,X23,X24),relation_dom(X24))
| in(esk4_3(X22,X23,X24),relation_dom(X23))
| X23 = relation_rng_restriction(X22,X24)
| ~ relation(X24)
| ~ function(X24)
| ~ relation(X23)
| ~ function(X23) )
& ( in(esk5_3(X22,X23,X24),relation_dom(X23))
| in(apply(X24,esk4_3(X22,X23,X24)),X22)
| in(esk4_3(X22,X23,X24),relation_dom(X23))
| X23 = relation_rng_restriction(X22,X24)
| ~ relation(X24)
| ~ function(X24)
| ~ relation(X23)
| ~ function(X23) )
& ( apply(X23,esk5_3(X22,X23,X24)) != apply(X24,esk5_3(X22,X23,X24))
| in(apply(X24,esk4_3(X22,X23,X24)),X22)
| in(esk4_3(X22,X23,X24),relation_dom(X23))
| X23 = relation_rng_restriction(X22,X24)
| ~ relation(X24)
| ~ function(X24)
| ~ relation(X23)
| ~ function(X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[t85_funct_1])])])])])])]) ).
fof(c_0_5,plain,
! [X32,X33] :
( ~ relation(X33)
| relation(relation_rng_restriction(X32,X33)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])])]) ).
fof(c_0_6,plain,
! [X34,X35] :
( ( relation(relation_rng_restriction(X34,X35))
| ~ relation(X35)
| ~ function(X35) )
& ( function(relation_rng_restriction(X34,X35))
| ~ relation(X35)
| ~ function(X35) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_funct_1])])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_rng_restriction(X1,X3)))
<=> ( in(X2,relation_dom(X3))
& in(apply(X3,X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[t86_funct_1]) ).
cnf(c_0_8,plain,
( in(X1,relation_dom(X2))
| ~ in(X1,relation_dom(X3))
| X3 != relation_rng_restriction(X4,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X3)
| ~ function(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
( relation(relation_rng_restriction(X2,X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( function(relation_rng_restriction(X1,X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,negated_conjecture,
( relation(esk3_0)
& function(esk3_0)
& ( ~ in(esk2_0,relation_dom(relation_rng_restriction(esk1_0,esk3_0)))
| ~ in(esk2_0,relation_dom(esk3_0))
| ~ in(apply(esk3_0,esk2_0),esk1_0) )
& ( in(esk2_0,relation_dom(esk3_0))
| in(esk2_0,relation_dom(relation_rng_restriction(esk1_0,esk3_0))) )
& ( in(apply(esk3_0,esk2_0),esk1_0)
| in(esk2_0,relation_dom(relation_rng_restriction(esk1_0,esk3_0))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
cnf(c_0_12,plain,
( in(X1,relation_dom(X2))
| ~ in(X1,relation_dom(relation_rng_restriction(X3,X2)))
| ~ function(X2)
| ~ relation(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_8]),c_0_9]),c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( in(esk2_0,relation_dom(esk3_0))
| in(esk2_0,relation_dom(relation_rng_restriction(esk1_0,esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( in(X1,relation_dom(X4))
| ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),X3)
| X4 != relation_rng_restriction(X3,X2)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X4)
| ~ function(X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( ~ in(esk2_0,relation_dom(relation_rng_restriction(esk1_0,esk3_0)))
| ~ in(esk2_0,relation_dom(esk3_0))
| ~ in(apply(esk3_0,esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
in(esk2_0,relation_dom(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]) ).
cnf(c_0_19,plain,
( in(X1,relation_dom(relation_rng_restriction(X2,X3)))
| ~ in(apply(X3,X1),X2)
| ~ in(X1,relation_dom(X3))
| ~ function(X3)
| ~ relation(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_16]),c_0_9]),c_0_10]) ).
cnf(c_0_20,negated_conjecture,
( in(apply(esk3_0,esk2_0),esk1_0)
| in(esk2_0,relation_dom(relation_rng_restriction(esk1_0,esk3_0))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( in(apply(X1,X2),X3)
| ~ in(X2,relation_dom(X4))
| X4 != relation_rng_restriction(X3,X1)
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X4)
| ~ function(X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
( ~ in(esk2_0,relation_dom(relation_rng_restriction(esk1_0,esk3_0)))
| ~ in(apply(esk3_0,esk2_0),esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_23,negated_conjecture,
in(esk2_0,relation_dom(relation_rng_restriction(esk1_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18]),c_0_14]),c_0_15])]) ).
cnf(c_0_24,plain,
( in(apply(X1,X2),X3)
| ~ in(X2,relation_dom(relation_rng_restriction(X3,X1)))
| ~ function(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_21]),c_0_9]),c_0_10]) ).
cnf(c_0_25,negated_conjecture,
~ in(apply(esk3_0,esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_23]),c_0_14]),c_0_15])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 07:35:57 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.OGZfmV1EKy/E---3.1_20886.p
% 0.22/0.52 # Version: 3.1.0
% 0.22/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52 # Starting sh5l with 300s (1) cores
% 0.22/0.52 # sh5l with pid 21001 completed with status 0
% 0.22/0.52 # Result found by sh5l
% 0.22/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52 # Starting sh5l with 300s (1) cores
% 0.22/0.52 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.52 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.22/0.52 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.22/0.52 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 21009 completed with status 0
% 0.22/0.52 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52 # Starting sh5l with 300s (1) cores
% 0.22/0.52 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.52 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.22/0.52 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.22/0.52 # Preprocessing time : 0.002 s
% 0.22/0.52 # Presaturation interreduction done
% 0.22/0.52
% 0.22/0.52 # Proof found!
% 0.22/0.52 # SZS status Theorem
% 0.22/0.52 # SZS output start CNFRefutation
% See solution above
% 0.22/0.52 # Parsed axioms : 34
% 0.22/0.52 # Removed by relevancy pruning/SinE : 0
% 0.22/0.52 # Initial clauses : 65
% 0.22/0.52 # Removed in clause preprocessing : 2
% 0.22/0.52 # Initial clauses in saturation : 63
% 0.22/0.52 # Processed clauses : 223
% 0.22/0.52 # ...of these trivial : 5
% 0.22/0.52 # ...subsumed : 35
% 0.22/0.52 # ...remaining for further processing : 182
% 0.22/0.52 # Other redundant clauses eliminated : 4
% 0.22/0.52 # Clauses deleted for lack of memory : 0
% 0.22/0.52 # Backward-subsumed : 4
% 0.22/0.52 # Backward-rewritten : 32
% 0.22/0.52 # Generated clauses : 197
% 0.22/0.52 # ...of the previous two non-redundant : 193
% 0.22/0.52 # ...aggressively subsumed : 0
% 0.22/0.52 # Contextual simplify-reflections : 11
% 0.22/0.52 # Paramodulations : 192
% 0.22/0.52 # Factorizations : 0
% 0.22/0.52 # NegExts : 0
% 0.22/0.52 # Equation resolutions : 5
% 0.22/0.52 # Disequality decompositions : 0
% 0.22/0.52 # Total rewrite steps : 91
% 0.22/0.52 # ...of those cached : 68
% 0.22/0.52 # Propositional unsat checks : 0
% 0.22/0.52 # Propositional check models : 0
% 0.22/0.52 # Propositional check unsatisfiable : 0
% 0.22/0.52 # Propositional clauses : 0
% 0.22/0.52 # Propositional clauses after purity: 0
% 0.22/0.52 # Propositional unsat core size : 0
% 0.22/0.52 # Propositional preprocessing time : 0.000
% 0.22/0.52 # Propositional encoding time : 0.000
% 0.22/0.52 # Propositional solver time : 0.000
% 0.22/0.52 # Success case prop preproc time : 0.000
% 0.22/0.52 # Success case prop encoding time : 0.000
% 0.22/0.52 # Success case prop solver time : 0.000
% 0.22/0.52 # Current number of processed clauses : 83
% 0.22/0.52 # Positive orientable unit clauses : 28
% 0.22/0.52 # Positive unorientable unit clauses: 0
% 0.22/0.52 # Negative unit clauses : 15
% 0.22/0.52 # Non-unit-clauses : 40
% 0.22/0.52 # Current number of unprocessed clauses: 71
% 0.22/0.52 # ...number of literals in the above : 336
% 0.22/0.52 # Current number of archived formulas : 0
% 0.22/0.52 # Current number of archived clauses : 95
% 0.22/0.52 # Clause-clause subsumption calls (NU) : 1483
% 0.22/0.52 # Rec. Clause-clause subsumption calls : 504
% 0.22/0.52 # Non-unit clause-clause subsumptions : 31
% 0.22/0.52 # Unit Clause-clause subsumption calls : 312
% 0.22/0.52 # Rewrite failures with RHS unbound : 0
% 0.22/0.52 # BW rewrite match attempts : 12
% 0.22/0.52 # BW rewrite match successes : 7
% 0.22/0.52 # Condensation attempts : 0
% 0.22/0.52 # Condensation successes : 0
% 0.22/0.52 # Termbank termtop insertions : 6422
% 0.22/0.52 # Search garbage collected termcells : 692
% 0.22/0.52
% 0.22/0.52 # -------------------------------------------------
% 0.22/0.52 # User time : 0.018 s
% 0.22/0.52 # System time : 0.002 s
% 0.22/0.52 # Total time : 0.020 s
% 0.22/0.52 # Maximum resident set size: 1864 pages
% 0.22/0.52
% 0.22/0.52 # -------------------------------------------------
% 0.22/0.52 # User time : 0.022 s
% 0.22/0.52 # System time : 0.002 s
% 0.22/0.52 # Total time : 0.024 s
% 0.22/0.52 # Maximum resident set size: 1752 pages
% 0.22/0.52 % E---3.1 exiting
% 0.22/0.53 % E exiting
%------------------------------------------------------------------------------