TSTP Solution File: SEU037+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:30:15 EDT 2023
% Result : Theorem 0.16s 0.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 96 ( 25 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 121 ( 50 ~; 47 |; 14 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 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 : 44 ( 3 sgn; 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t71_funct_1,conjecture,
! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,set_intersection2(relation_dom(X3),X1))
=> apply(relation_dom_restriction(X3,X1),X2) = apply(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PIXYY7V6n7/E---3.1_19144.p',t71_funct_1) ).
fof(t68_funct_1,axiom,
! [X1,X2] :
( ( relation(X2)
& function(X2) )
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( X2 = relation_dom_restriction(X3,X1)
<=> ( relation_dom(X2) = set_intersection2(relation_dom(X3),X1)
& ! [X4] :
( in(X4,relation_dom(X2))
=> apply(X2,X4) = apply(X3,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PIXYY7V6n7/E---3.1_19144.p',t68_funct_1) ).
fof(fc4_funct_1,axiom,
! [X1,X2] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_dom_restriction(X1,X2))
& function(relation_dom_restriction(X1,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PIXYY7V6n7/E---3.1_19144.p',fc4_funct_1) ).
fof(dt_k7_relat_1,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.PIXYY7V6n7/E---3.1_19144.p',dt_k7_relat_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : set_intersection2(X1,X2) = set_intersection2(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.PIXYY7V6n7/E---3.1_19144.p',commutativity_k3_xboole_0) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X3] :
( ( relation(X3)
& function(X3) )
=> ( in(X2,set_intersection2(relation_dom(X3),X1))
=> apply(relation_dom_restriction(X3,X1),X2) = apply(X3,X2) ) ),
inference(assume_negation,[status(cth)],[t71_funct_1]) ).
fof(c_0_6,plain,
! [X8,X9,X10,X11] :
( ( relation_dom(X9) = set_intersection2(relation_dom(X10),X8)
| X9 != relation_dom_restriction(X10,X8)
| ~ relation(X10)
| ~ function(X10)
| ~ relation(X9)
| ~ function(X9) )
& ( ~ in(X11,relation_dom(X9))
| apply(X9,X11) = apply(X10,X11)
| X9 != relation_dom_restriction(X10,X8)
| ~ relation(X10)
| ~ function(X10)
| ~ relation(X9)
| ~ function(X9) )
& ( in(esk4_3(X8,X9,X10),relation_dom(X9))
| relation_dom(X9) != set_intersection2(relation_dom(X10),X8)
| X9 = relation_dom_restriction(X10,X8)
| ~ relation(X10)
| ~ function(X10)
| ~ relation(X9)
| ~ function(X9) )
& ( apply(X9,esk4_3(X8,X9,X10)) != apply(X10,esk4_3(X8,X9,X10))
| relation_dom(X9) != set_intersection2(relation_dom(X10),X8)
| X9 = relation_dom_restriction(X10,X8)
| ~ relation(X10)
| ~ function(X10)
| ~ relation(X9)
| ~ function(X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t68_funct_1])])])])]) ).
fof(c_0_7,plain,
! [X15,X16] :
( ( relation(relation_dom_restriction(X15,X16))
| ~ relation(X15)
| ~ function(X15) )
& ( function(relation_dom_restriction(X15,X16))
| ~ relation(X15)
| ~ function(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_funct_1])])]) ).
fof(c_0_8,plain,
! [X13,X14] :
( ~ relation(X13)
| relation(relation_dom_restriction(X13,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])]) ).
fof(c_0_9,negated_conjecture,
( relation(esk3_0)
& function(esk3_0)
& in(esk2_0,set_intersection2(relation_dom(esk3_0),esk1_0))
& apply(relation_dom_restriction(esk3_0,esk1_0),esk2_0) != apply(esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_10,plain,
( apply(X2,X1) = apply(X3,X1)
| ~ in(X1,relation_dom(X2))
| X2 != relation_dom_restriction(X3,X4)
| ~ relation(X3)
| ~ function(X3)
| ~ relation(X2)
| ~ function(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( function(relation_dom_restriction(X1,X2))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( relation(relation_dom_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X31,X32] : set_intersection2(X31,X32) = set_intersection2(X32,X31),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_14,negated_conjecture,
apply(relation_dom_restriction(esk3_0,esk1_0),esk2_0) != apply(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( apply(relation_dom_restriction(X1,X2),X3) = apply(X1,X3)
| ~ relation(X1)
| ~ function(X1)
| ~ in(X3,relation_dom(relation_dom_restriction(X1,X2))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_10]),c_0_11]),c_0_12]) ).
cnf(c_0_16,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
function(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( relation_dom(X1) = set_intersection2(relation_dom(X2),X3)
| X1 != relation_dom_restriction(X2,X3)
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
in(esk2_0,set_intersection2(relation_dom(esk3_0),esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
set_intersection2(X1,X2) = set_intersection2(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
~ in(esk2_0,relation_dom(relation_dom_restriction(esk3_0,esk1_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_16]),c_0_17])]) ).
cnf(c_0_22,plain,
( relation_dom(relation_dom_restriction(X1,X2)) = set_intersection2(relation_dom(X1),X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_18]),c_0_11]),c_0_12]) ).
cnf(c_0_23,negated_conjecture,
in(esk2_0,set_intersection2(esk1_0,relation_dom(esk3_0))),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,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_21,c_0_22]),c_0_20]),c_0_23]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU037+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 08:14:51 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 0.16/0.42 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.PIXYY7V6n7/E---3.1_19144.p
% 0.16/0.43 # Version: 3.1pre001
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 # Starting sh5l with 300s (1) cores
% 0.16/0.43 # new_bool_3 with pid 19222 completed with status 0
% 0.16/0.43 # Result found by new_bool_3
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.43 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.16/0.43 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.16/0.43 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 19226 completed with status 0
% 0.16/0.43 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.43 # Search class: FGHSM-FFMM31-SFFFFFNN
% 0.16/0.43 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.16/0.43 # Preprocessing time : 0.001 s
% 0.16/0.43 # Presaturation interreduction done
% 0.16/0.43
% 0.16/0.43 # Proof found!
% 0.16/0.43 # SZS status Theorem
% 0.16/0.43 # SZS output start CNFRefutation
% See solution above
% 0.16/0.43 # Parsed axioms : 39
% 0.16/0.43 # Removed by relevancy pruning/SinE : 7
% 0.16/0.43 # Initial clauses : 48
% 0.16/0.43 # Removed in clause preprocessing : 0
% 0.16/0.43 # Initial clauses in saturation : 48
% 0.16/0.43 # Processed clauses : 130
% 0.16/0.43 # ...of these trivial : 1
% 0.16/0.43 # ...subsumed : 9
% 0.16/0.43 # ...remaining for further processing : 120
% 0.16/0.43 # Other redundant clauses eliminated : 2
% 0.16/0.43 # Clauses deleted for lack of memory : 0
% 0.16/0.43 # Backward-subsumed : 0
% 0.16/0.43 # Backward-rewritten : 19
% 0.16/0.43 # Generated clauses : 70
% 0.16/0.43 # ...of the previous two non-redundant : 68
% 0.16/0.43 # ...aggressively subsumed : 0
% 0.16/0.43 # Contextual simplify-reflections : 4
% 0.16/0.43 # Paramodulations : 68
% 0.16/0.43 # Factorizations : 0
% 0.16/0.43 # NegExts : 0
% 0.16/0.43 # Equation resolutions : 2
% 0.16/0.43 # Total rewrite steps : 52
% 0.16/0.43 # Propositional unsat checks : 0
% 0.16/0.43 # Propositional check models : 0
% 0.16/0.43 # Propositional check unsatisfiable : 0
% 0.16/0.43 # Propositional clauses : 0
% 0.16/0.43 # Propositional clauses after purity: 0
% 0.16/0.43 # Propositional unsat core size : 0
% 0.16/0.43 # Propositional preprocessing time : 0.000
% 0.16/0.43 # Propositional encoding time : 0.000
% 0.16/0.43 # Propositional solver time : 0.000
% 0.16/0.43 # Success case prop preproc time : 0.000
% 0.16/0.43 # Success case prop encoding time : 0.000
% 0.16/0.43 # Success case prop solver time : 0.000
% 0.16/0.43 # Current number of processed clauses : 53
% 0.16/0.43 # Positive orientable unit clauses : 18
% 0.16/0.43 # Positive unorientable unit clauses: 1
% 0.16/0.43 # Negative unit clauses : 9
% 0.16/0.43 # Non-unit-clauses : 25
% 0.16/0.43 # Current number of unprocessed clauses: 20
% 0.16/0.43 # ...number of literals in the above : 62
% 0.16/0.43 # Current number of archived formulas : 0
% 0.16/0.43 # Current number of archived clauses : 65
% 0.16/0.43 # Clause-clause subsumption calls (NU) : 131
% 0.16/0.43 # Rec. Clause-clause subsumption calls : 82
% 0.16/0.43 # Non-unit clause-clause subsumptions : 7
% 0.16/0.43 # Unit Clause-clause subsumption calls : 33
% 0.16/0.43 # Rewrite failures with RHS unbound : 0
% 0.16/0.43 # BW rewrite match attempts : 22
% 0.16/0.43 # BW rewrite match successes : 18
% 0.16/0.43 # Condensation attempts : 0
% 0.16/0.43 # Condensation successes : 0
% 0.16/0.43 # Termbank termtop insertions : 3081
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.007 s
% 0.16/0.43 # System time : 0.003 s
% 0.16/0.43 # Total time : 0.010 s
% 0.16/0.43 # Maximum resident set size: 1860 pages
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.008 s
% 0.16/0.43 # System time : 0.005 s
% 0.16/0.43 # Total time : 0.013 s
% 0.16/0.43 # Maximum resident set size: 1704 pages
% 0.16/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------