TSTP Solution File: SEU044+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:30:16 EDT 2023
% Result : Timeout 0.47s 300.17s
% Output : None
% 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.PfrysaRLaG/E---3.1_5239.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.PfrysaRLaG/E---3.1_5239.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.PfrysaRLaG/E---3.1_5239.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.PfrysaRLaG/E---3.1_5239.p',t86_funct_1) ).
fof(c_0_4,plain,
! [X52,X53,X54,X55,X56,X57] :
( ( in(X55,relation_dom(X54))
| ~ in(X55,relation_dom(X53))
| X53 != relation_rng_restriction(X52,X54)
| ~ relation(X54)
| ~ function(X54)
| ~ relation(X53)
| ~ function(X53) )
& ( in(apply(X54,X55),X52)
| ~ in(X55,relation_dom(X53))
| X53 != relation_rng_restriction(X52,X54)
| ~ relation(X54)
| ~ function(X54)
| ~ relation(X53)
| ~ function(X53) )
& ( ~ in(X56,relation_dom(X54))
| ~ in(apply(X54,X56),X52)
| in(X56,relation_dom(X53))
| X53 != relation_rng_restriction(X52,X54)
| ~ relation(X54)
| ~ function(X54)
| ~ relation(X53)
| ~ function(X53) )
& ( ~ in(X57,relation_dom(X53))
| apply(X53,X57) = apply(X54,X57)
| X53 != relation_rng_restriction(X52,X54)
| ~ relation(X54)
| ~ function(X54)
| ~ relation(X53)
| ~ function(X53) )
& ( in(esk16_3(X52,X53,X54),relation_dom(X53))
| ~ in(esk15_3(X52,X53,X54),relation_dom(X53))
| ~ in(esk15_3(X52,X53,X54),relation_dom(X54))
| ~ in(apply(X54,esk15_3(X52,X53,X54)),X52)
| X53 = relation_rng_restriction(X52,X54)
| ~ relation(X54)
| ~ function(X54)
| ~ relation(X53)
| ~ function(X53) )
& ( apply(X53,esk16_3(X52,X53,X54)) != apply(X54,esk16_3(X52,X53,X54))
| ~ in(esk15_3(X52,X53,X54),relation_dom(X53))
| ~ in(esk15_3(X52,X53,X54),relation_dom(X54))
| ~ in(apply(X54,esk15_3(X52,X53,X54)),X52)
| X53 = relation_rng_restriction(X52,X54)
| ~ relation(X54)
| ~ function(X54)
| ~ relation(X53)
| ~ function(X53) )
& ( in(esk16_3(X52,X53,X54),relation_dom(X53))
| in(esk15_3(X52,X53,X54),relation_dom(X54))
| in(esk15_3(X52,X53,X54),relation_dom(X53))
| X53 = relation_rng_restriction(X52,X54)
| ~ relation(X54)
| ~ function(X54)
| ~ relation(X53)
| ~ function(X53) )
& ( apply(X53,esk16_3(X52,X53,X54)) != apply(X54,esk16_3(X52,X53,X54))
| in(esk15_3(X52,X53,X54),relation_dom(X54))
| in(esk15_3(X52,X53,X54),relation_dom(X53))
| X53 = relation_rng_restriction(X52,X54)
| ~ relation(X54)
| ~ function(X54)
| ~ relation(X53)
| ~ function(X53) )
& ( in(esk16_3(X52,X53,X54),relation_dom(X53))
| in(apply(X54,esk15_3(X52,X53,X54)),X52)
| in(esk15_3(X52,X53,X54),relation_dom(X53))
| X53 = relation_rng_restriction(X52,X54)
| ~ relation(X54)
| ~ function(X54)
| ~ relation(X53)
| ~ function(X53) )
& ( apply(X53,esk16_3(X52,X53,X54)) != apply(X54,esk16_3(X52,X53,X54))
| in(apply(X54,esk15_3(X52,X53,X54)),X52)
| in(esk15_3(X52,X53,X54),relation_dom(X53))
| X53 = relation_rng_restriction(X52,X54)
| ~ relation(X54)
| ~ function(X54)
| ~ relation(X53)
| ~ function(X53) ) ),
inference(distribute,[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,
! [X29,X30] :
( ~ relation(X30)
| relation(relation_rng_restriction(X29,X30)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).
fof(c_0_6,plain,
! [X31,X32] :
( ( relation(relation_rng_restriction(X31,X32))
| ~ relation(X32)
| ~ function(X32) )
& ( function(relation_rng_restriction(X31,X32))
| ~ relation(X32)
| ~ function(X32) ) ),
inference(distribute,[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(esk14_0)
& function(esk14_0)
& ( ~ in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0)))
| ~ in(esk13_0,relation_dom(esk14_0))
| ~ in(apply(esk14_0,esk13_0),esk12_0) )
& ( in(esk13_0,relation_dom(esk14_0))
| in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))) )
& ( in(apply(esk14_0,esk13_0),esk12_0)
| in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))) ) ),
inference(distribute,[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(esk13_0,relation_dom(esk14_0))
| in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
function(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,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_17,negated_conjecture,
( ~ in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0)))
| ~ in(esk13_0,relation_dom(esk14_0))
| ~ in(apply(esk14_0,esk13_0),esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
in(esk13_0,relation_dom(esk14_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(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_16]),c_0_9]),c_0_10]) ).
cnf(c_0_20,negated_conjecture,
( in(apply(esk14_0,esk13_0),esk12_0)
| in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
( ~ in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0)))
| ~ in(apply(esk14_0,esk13_0),esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_22,negated_conjecture,
in(apply(esk14_0,esk13_0),esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_14]),c_0_15])]) ).
cnf(c_0_23,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_24,negated_conjecture,
~ in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_25,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_23]),c_0_9]),c_0_10]) ).
cnf(c_0_26,negated_conjecture,
$false,
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_24,c_0_25]),c_0_22]),c_0_18]),c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 08:16:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 Running first-order model finding
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.PfrysaRLaG/E---3.1_5239.p
% 0.47/300.17 # Version: 3.1pre001
% 0.47/300.17 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.47/300.17 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/300.17 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.47/300.17 # Starting new_bool_3 with 300s (1) cores
% 0.47/300.17 # Starting new_bool_1 with 300s (1) cores
% 0.47/300.17 # Starting sh5l with 300s (1) cores
% 0.47/300.17 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5386 completed with status 0
% 0.47/300.17 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.47/300.17 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.47/300.17 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/300.17 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.47/300.17 # No SInE strategy applied
% 0.47/300.17 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.47/300.17 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.47/300.17 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.47/300.17 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.47/300.17 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.47/300.17 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.47/300.17 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.47/300.17 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 5396 completed with status 0
% 0.47/300.17 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.47/300.17 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.47/300.17 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.47/300.17 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.47/300.17 # No SInE strategy applied
% 0.47/300.17 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.47/300.17 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.47/300.17 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.47/300.17 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.47/300.17 # Preprocessing time : 0.002 s
% 0.47/300.17 # Presaturation interreduction done
% 0.47/300.17
% 0.47/300.17 # Proof found!
% 0.47/300.17 # SZS status Theorem
% 0.47/300.17 # SZS output start CNFRefutation
% See solution above
% 0.47/300.17 # Parsed axioms : 34
% 0.47/300.17 # Removed by relevancy pruning/SinE : 0
% 0.47/300.17 # Initial clauses : 65
% 0.47/300.17 # Removed in clause preprocessing : 2
% 0.47/300.17 # Initial clauses in saturation : 63
% 0.47/300.17 # Processed clauses : 182
% 0.47/300.17 # ...of these trivial : 5
% 0.47/300.17 # ...subsumed : 17
% 0.47/300.17 # ...remaining for further processing : 160
% 0.47/300.17 # Other redundant clauses eliminated : 4
% 0.47/300.17 # Clauses deleted for lack of memory : 0
% 0.47/300.17 # Backward-subsumed : 1
% 0.47/300.17 # Backward-rewritten : 23
% 0.47/300.17 # Generated clauses : 126
% 0.47/300.17 # ...of the previous two non-redundant : 106
% 0.47/300.17 # ...aggressively subsumed : 0
% 0.47/300.17 # Contextual simplify-reflections : 12
% 0.47/300.17 # Paramodulations : 122
% 0.47/300.17 # Factorizations : 0
% 0.47/300.17 # NegExts : 0
% 0.47/300.17 # Equation resolutions : 4
% 0.47/300.17 # Total rewrite steps : 76
% 0.47/300.17 # Propositional unsat checks : 0
% 0.47/300.17 # Propositional check models : 0
% 0.47/300.17 # Propositional check unsatisfiable : 0
% 0.47/300.17 # Propositional clauses : 0
% 0.47/300.17 # Propositional clauses after purity: 0
% 0.47/300.17 # Propositional unsat core size : 0
% 0.47/300.17 # Propositional preprocessing time : 0.000
% 0.47/300.17 # Propositional encoding time : 0.000
% 0.47/300.17 # Propositional solver time : 0.000
% 0.47/300.17 # Success case prop preproc time : 0.000
% 0.47/300.17 # Success case prop encoding time : 0.000
% 0.47/300.17 # Success case prop solver time : 0.000
% 0.47/300.17 # Current number of processed clauses : 73
% 0.47/300.17 # Positive orientable unit clauses : 25
% 0.47/300.17 # Positive unorientable unit clauses: 0
% 0.47/300.17 # Negative unit clauses : 10
% 0.47/300.17 # Non-unit-clauses : 38
% 0.47/300.17 # Current number of unprocessed clauses: 41
% 0.47/300.17 # ...number of literals in the above : 226
% 0.47/300.17 # Current number of archived formulas : 0
% 0.47/300.17 # Current number of archived clauses : 83
% 0.47/300.17 # Clause-clause subsumption calls (NU) : 989
% 0.47/300.17 # Rec. Clause-clause subsumption calls : 427
% 0.47/300.17 # Non-unit clause-clause subsumptions : 22
% 0.47/300.17 # Unit Clause-clause subsumption calls : 258
% 0.47/300.17 # Rewrite failures with RHS unbound : 0
% 0.47/300.17 # BW rewrite match attempts : 6
% 0.47/300.17 # BW rewrite match successes : 6
% 0.47/300.17 # Condensation attempts : 0
% 0.47/300.17 # Condensation successes : 0
% 0.47/300.17 # Termbank termtop insertions : 5578
% 0.47/300.17
% 0.47/300.17 # -------------------------------------------------
% 0.47/300.17 # User time : 0.015 s
% 0.47/300.17 # System time : 0.003 s
% 0.47/300.17 # Total time : 0.018 s
% 0.47/300.17 # Maximum resident set size: 1864 pages
% 0.47/300.17
% 0.47/300.17 # -------------------------------------------------
% 0.47/300.17 # User time : 0.058 s
% 0.47/300.17 # System time : 0.016 s
% 0.47/300.17 # Total time : 0.073 s
% 0.47/300.17 # Maximum resident set size: 1704 pages
% 0.47/300.17 % E---3.1 exiting
%------------------------------------------------------------------------------