TSTP Solution File: SEU045+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU045+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n006.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 : Theorem 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 141 ( 24 equ)
% Maximal formula atoms : 79 ( 7 avg)
% Number of connectives : 204 ( 83 ~; 89 |; 21 &)
% ( 2 <=>; 9 =>; 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 : 35 ( 4 sgn; 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t87_funct_1,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_rng_restriction(X1,X3)))
=> apply(relation_rng_restriction(X1,X3),X2) = apply(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Fm8uXgluFd/E---3.1_6365.p',t87_funct_1) ).
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.Fm8uXgluFd/E---3.1_6365.p',t85_funct_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.Fm8uXgluFd/E---3.1_6365.p',fc5_funct_1) ).
fof(dt_k8_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> relation(relation_rng_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.Fm8uXgluFd/E---3.1_6365.p',dt_k8_relat_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,relation_dom(relation_rng_restriction(X1,X3)))
=> apply(relation_rng_restriction(X1,X3),X2) = apply(X3,X2) ) ),
inference(assume_negation,[status(cth)],[t87_funct_1]) ).
fof(c_0_5,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_6,negated_conjecture,
( relation(esk14_0)
& function(esk14_0)
& in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0)))
& apply(relation_rng_restriction(esk12_0,esk14_0),esk13_0) != apply(esk14_0,esk13_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_7,plain,
( apply(X2,X1) = apply(X3,X1)
| ~ in(X1,relation_dom(X2))
| X2 != relation_rng_restriction(X4,X3)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
in(esk13_0,relation_dom(relation_rng_restriction(esk12_0,esk14_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( apply(relation_rng_restriction(esk12_0,esk14_0),esk13_0) = apply(X1,esk13_0)
| relation_rng_restriction(esk12_0,esk14_0) != relation_rng_restriction(X2,X1)
| ~ function(relation_rng_restriction(esk12_0,esk14_0))
| ~ function(X1)
| ~ relation(relation_rng_restriction(esk12_0,esk14_0))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
function(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
relation(esk14_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
apply(relation_rng_restriction(esk12_0,esk14_0),esk13_0) != apply(esk14_0,esk13_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_13,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])])]) ).
cnf(c_0_14,negated_conjecture,
( ~ function(relation_rng_restriction(esk12_0,esk14_0))
| ~ relation(relation_rng_restriction(esk12_0,esk14_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_9]),c_0_10]),c_0_11])]),c_0_12]) ).
cnf(c_0_15,plain,
( function(relation_rng_restriction(X1,X2))
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_16,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])]) ).
cnf(c_0_17,negated_conjecture,
~ relation(relation_rng_restriction(esk12_0,esk14_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_10]),c_0_11])]) ).
cnf(c_0_18,plain,
( relation(relation_rng_restriction(X2,X1))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SEU045+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 08:53:10 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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.Fm8uXgluFd/E---3.1_6365.p
% 0.15/0.43 # Version: 3.1pre001
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 # Starting sh5l with 300s (1) cores
% 0.15/0.43 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6442 completed with status 0
% 0.15/0.43 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # No SInE strategy applied
% 0.15/0.43 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.15/0.43 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.43 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.15/0.43 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.43 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.15/0.43 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 6451 completed with status 0
% 0.15/0.43 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.15/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 # No SInE strategy applied
% 0.15/0.43 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.15/0.43 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.43 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.15/0.43 # Preprocessing time : 0.002 s
% 0.15/0.43
% 0.15/0.43 # Proof found!
% 0.15/0.43 # SZS status Theorem
% 0.15/0.43 # SZS output start CNFRefutation
% See solution above
% 0.15/0.43 # Parsed axioms : 34
% 0.15/0.43 # Removed by relevancy pruning/SinE : 0
% 0.15/0.43 # Initial clauses : 64
% 0.15/0.43 # Removed in clause preprocessing : 2
% 0.15/0.43 # Initial clauses in saturation : 62
% 0.15/0.43 # Processed clauses : 67
% 0.15/0.43 # ...of these trivial : 3
% 0.15/0.43 # ...subsumed : 1
% 0.15/0.43 # ...remaining for further processing : 63
% 0.15/0.43 # Other redundant clauses eliminated : 0
% 0.15/0.43 # Clauses deleted for lack of memory : 0
% 0.15/0.43 # Backward-subsumed : 2
% 0.15/0.43 # Backward-rewritten : 1
% 0.15/0.43 # Generated clauses : 64
% 0.15/0.43 # ...of the previous two non-redundant : 56
% 0.15/0.43 # ...aggressively subsumed : 0
% 0.15/0.43 # Contextual simplify-reflections : 2
% 0.15/0.43 # Paramodulations : 61
% 0.15/0.43 # Factorizations : 0
% 0.15/0.43 # NegExts : 0
% 0.15/0.43 # Equation resolutions : 3
% 0.15/0.43 # Total rewrite steps : 21
% 0.15/0.43 # Propositional unsat checks : 0
% 0.15/0.43 # Propositional check models : 0
% 0.15/0.43 # Propositional check unsatisfiable : 0
% 0.15/0.43 # Propositional clauses : 0
% 0.15/0.43 # Propositional clauses after purity: 0
% 0.15/0.43 # Propositional unsat core size : 0
% 0.15/0.43 # Propositional preprocessing time : 0.000
% 0.15/0.43 # Propositional encoding time : 0.000
% 0.15/0.43 # Propositional solver time : 0.000
% 0.15/0.43 # Success case prop preproc time : 0.000
% 0.15/0.43 # Success case prop encoding time : 0.000
% 0.15/0.43 # Success case prop solver time : 0.000
% 0.15/0.43 # Current number of processed clauses : 60
% 0.15/0.43 # Positive orientable unit clauses : 24
% 0.15/0.43 # Positive unorientable unit clauses: 0
% 0.15/0.43 # Negative unit clauses : 6
% 0.15/0.43 # Non-unit-clauses : 30
% 0.15/0.43 # Current number of unprocessed clauses: 51
% 0.15/0.43 # ...number of literals in the above : 153
% 0.15/0.43 # Current number of archived formulas : 0
% 0.15/0.43 # Current number of archived clauses : 3
% 0.15/0.43 # Clause-clause subsumption calls (NU) : 303
% 0.15/0.43 # Rec. Clause-clause subsumption calls : 106
% 0.15/0.43 # Non-unit clause-clause subsumptions : 4
% 0.15/0.43 # Unit Clause-clause subsumption calls : 57
% 0.15/0.43 # Rewrite failures with RHS unbound : 0
% 0.15/0.43 # BW rewrite match attempts : 1
% 0.15/0.43 # BW rewrite match successes : 1
% 0.15/0.43 # Condensation attempts : 0
% 0.15/0.43 # Condensation successes : 0
% 0.15/0.43 # Termbank termtop insertions : 3911
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.006 s
% 0.15/0.43 # System time : 0.004 s
% 0.15/0.43 # Total time : 0.011 s
% 0.15/0.43 # Maximum resident set size: 1880 pages
% 0.15/0.43
% 0.15/0.43 # -------------------------------------------------
% 0.15/0.43 # User time : 0.026 s
% 0.15/0.43 # System time : 0.015 s
% 0.15/0.43 # Total time : 0.042 s
% 0.15/0.43 # Maximum resident set size: 1704 pages
% 0.15/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------