TSTP Solution File: SEV517+1 by E-SAT---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SEV517+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% 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 : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 15:56:05 EDT 2024
% Result : Timeout 300.08s 100.01s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 192 ( 11 equ)
% Maximal formula atoms : 105 ( 6 avg)
% Number of connectives : 234 ( 74 ~; 111 |; 39 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 75 ( 3 sgn 38 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(difference,axiom,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.0SWTtyhDXG/E---3.1_3906.p',difference) ).
fof(partition,axiom,
! [X1,X4] :
( partition(X1,X4)
<=> ( ! [X3] :
( member(X3,X1)
=> subset(X3,X4) )
& ! [X3] :
( member(X3,X4)
=> ? [X5] :
( member(X5,X1)
& member(X3,X5) ) )
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X1) )
=> ( ? [X6] :
( member(X6,X3)
& member(X6,X5) )
=> X3 = X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.0SWTtyhDXG/E---3.1_3906.p',partition) ).
fof(diff_elem_in_partition,conjecture,
! [X3,X1,X2,X11] :
( ( member(X3,difference(X1,X2))
& partition(X11,X1) )
=> ? [X12] :
( member(X12,difference(X11,singleton(X2)))
& member(X3,X12) ) ),
file('/export/starexec/sandbox/tmp/tmp.0SWTtyhDXG/E---3.1_3906.p',diff_elem_in_partition) ).
fof(singleton,axiom,
! [X3,X1] :
( member(X3,singleton(X1))
<=> X3 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.0SWTtyhDXG/E---3.1_3906.p',singleton) ).
fof(c_0_4,plain,
! [X2,X1,X4] :
( member(X2,difference(X4,X1))
<=> ( member(X2,X4)
& ~ member(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[difference]) ).
fof(c_0_5,plain,
! [X18,X19,X20] :
( ( member(X18,X20)
| ~ member(X18,difference(X20,X19)) )
& ( ~ member(X18,X19)
| ~ member(X18,difference(X20,X19)) )
& ( ~ member(X18,X20)
| member(X18,X19)
| member(X18,difference(X20,X19)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_6,plain,
! [X23,X24,X25,X26,X28,X29,X30,X31,X32,X35] :
( ( ~ member(X25,X23)
| subset(X25,X24)
| ~ partition(X23,X24) )
& ( member(esk5_3(X23,X24,X26),X23)
| ~ member(X26,X24)
| ~ partition(X23,X24) )
& ( member(X26,esk5_3(X23,X24,X26))
| ~ member(X26,X24)
| ~ partition(X23,X24) )
& ( ~ member(X28,X23)
| ~ member(X29,X23)
| ~ member(X30,X28)
| ~ member(X30,X29)
| X28 = X29
| ~ partition(X23,X24) )
& ( member(esk8_2(X31,X32),X31)
| member(esk7_2(X31,X32),X32)
| member(esk6_2(X31,X32),X31)
| partition(X31,X32) )
& ( member(esk9_2(X31,X32),X31)
| member(esk7_2(X31,X32),X32)
| member(esk6_2(X31,X32),X31)
| partition(X31,X32) )
& ( member(esk10_2(X31,X32),esk8_2(X31,X32))
| member(esk7_2(X31,X32),X32)
| member(esk6_2(X31,X32),X31)
| partition(X31,X32) )
& ( member(esk10_2(X31,X32),esk9_2(X31,X32))
| member(esk7_2(X31,X32),X32)
| member(esk6_2(X31,X32),X31)
| partition(X31,X32) )
& ( esk8_2(X31,X32) != esk9_2(X31,X32)
| member(esk7_2(X31,X32),X32)
| member(esk6_2(X31,X32),X31)
| partition(X31,X32) )
& ( member(esk8_2(X31,X32),X31)
| ~ member(X35,X31)
| ~ member(esk7_2(X31,X32),X35)
| member(esk6_2(X31,X32),X31)
| partition(X31,X32) )
& ( member(esk9_2(X31,X32),X31)
| ~ member(X35,X31)
| ~ member(esk7_2(X31,X32),X35)
| member(esk6_2(X31,X32),X31)
| partition(X31,X32) )
& ( member(esk10_2(X31,X32),esk8_2(X31,X32))
| ~ member(X35,X31)
| ~ member(esk7_2(X31,X32),X35)
| member(esk6_2(X31,X32),X31)
| partition(X31,X32) )
& ( member(esk10_2(X31,X32),esk9_2(X31,X32))
| ~ member(X35,X31)
| ~ member(esk7_2(X31,X32),X35)
| member(esk6_2(X31,X32),X31)
| partition(X31,X32) )
& ( esk8_2(X31,X32) != esk9_2(X31,X32)
| ~ member(X35,X31)
| ~ member(esk7_2(X31,X32),X35)
| member(esk6_2(X31,X32),X31)
| partition(X31,X32) )
& ( member(esk8_2(X31,X32),X31)
| member(esk7_2(X31,X32),X32)
| ~ subset(esk6_2(X31,X32),X32)
| partition(X31,X32) )
& ( member(esk9_2(X31,X32),X31)
| member(esk7_2(X31,X32),X32)
| ~ subset(esk6_2(X31,X32),X32)
| partition(X31,X32) )
& ( member(esk10_2(X31,X32),esk8_2(X31,X32))
| member(esk7_2(X31,X32),X32)
| ~ subset(esk6_2(X31,X32),X32)
| partition(X31,X32) )
& ( member(esk10_2(X31,X32),esk9_2(X31,X32))
| member(esk7_2(X31,X32),X32)
| ~ subset(esk6_2(X31,X32),X32)
| partition(X31,X32) )
& ( esk8_2(X31,X32) != esk9_2(X31,X32)
| member(esk7_2(X31,X32),X32)
| ~ subset(esk6_2(X31,X32),X32)
| partition(X31,X32) )
& ( member(esk8_2(X31,X32),X31)
| ~ member(X35,X31)
| ~ member(esk7_2(X31,X32),X35)
| ~ subset(esk6_2(X31,X32),X32)
| partition(X31,X32) )
& ( member(esk9_2(X31,X32),X31)
| ~ member(X35,X31)
| ~ member(esk7_2(X31,X32),X35)
| ~ subset(esk6_2(X31,X32),X32)
| partition(X31,X32) )
& ( member(esk10_2(X31,X32),esk8_2(X31,X32))
| ~ member(X35,X31)
| ~ member(esk7_2(X31,X32),X35)
| ~ subset(esk6_2(X31,X32),X32)
| partition(X31,X32) )
& ( member(esk10_2(X31,X32),esk9_2(X31,X32))
| ~ member(X35,X31)
| ~ member(esk7_2(X31,X32),X35)
| ~ subset(esk6_2(X31,X32),X32)
| partition(X31,X32) )
& ( esk8_2(X31,X32) != esk9_2(X31,X32)
| ~ member(X35,X31)
| ~ member(esk7_2(X31,X32),X35)
| ~ subset(esk6_2(X31,X32),X32)
| partition(X31,X32) ) ),
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)],[partition])])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X3,X1,X2,X11] :
( ( member(X3,difference(X1,X2))
& partition(X11,X1) )
=> ? [X12] :
( member(X12,difference(X11,singleton(X2)))
& member(X3,X12) ) ),
inference(assume_negation,[status(cth)],[diff_elem_in_partition]) ).
cnf(c_0_8,plain,
( member(X1,X3)
| member(X1,difference(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( member(X1,esk5_3(X2,X3,X1))
| ~ member(X1,X3)
| ~ partition(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,negated_conjecture,
! [X17] :
( member(esk1_0,difference(esk2_0,esk3_0))
& partition(esk4_0,esk2_0)
& ( ~ member(X17,difference(esk4_0,singleton(esk3_0)))
| ~ member(esk1_0,X17) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])]) ).
cnf(c_0_11,plain,
( member(X1,difference(esk5_3(X2,X3,X1),X4))
| member(X1,X4)
| ~ partition(X2,X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
partition(esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
( member(X1,X2)
| ~ member(X1,difference(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
member(esk1_0,difference(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( member(esk5_3(X1,X2,X3),X1)
| ~ member(X3,X2)
| ~ partition(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,negated_conjecture,
( member(X1,difference(esk5_3(esk4_0,esk2_0,X1),X2))
| member(X1,X2)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
member(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
( member(esk5_3(X1,X2,X3),difference(X1,X4))
| member(esk5_3(X1,X2,X3),X4)
| ~ partition(X1,X2)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( member(esk1_0,difference(esk5_3(esk4_0,esk2_0,esk1_0),X1))
| member(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( member(esk5_3(esk4_0,esk2_0,X1),difference(esk4_0,X2))
| member(esk5_3(esk4_0,esk2_0,X1),X2)
| ~ member(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( member(esk1_0,esk5_3(esk4_0,esk2_0,esk1_0))
| member(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
fof(c_0_22,plain,
! [X21,X22] :
( ( ~ member(X21,singleton(X22))
| X21 = X22 )
& ( X21 != X22
| member(X21,singleton(X22)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[singleton])])]) ).
cnf(c_0_23,negated_conjecture,
( ~ member(X1,difference(esk4_0,singleton(esk3_0)))
| ~ member(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
( member(esk5_3(esk4_0,esk2_0,esk1_0),difference(esk4_0,X1))
| member(esk5_3(esk4_0,esk2_0,esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
member(esk1_0,esk5_3(esk4_0,esk2_0,esk1_0)),
inference(ef,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( X1 = X2
| ~ member(X1,singleton(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
member(esk5_3(esk4_0,esk2_0,esk1_0),singleton(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_28,plain,
( ~ member(X1,X2)
| ~ member(X1,difference(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_29,negated_conjecture,
esk5_3(esk4_0,esk2_0,esk1_0) = esk3_0,
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
~ member(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_28,c_0_14]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV517+1 : TPTP v8.2.0. Released v7.3.0.
% 0.11/0.11 % Command : run_E %s %d SAT
% 0.11/0.31 % Computer : n018.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri Jun 21 18:36:39 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.18/0.44 Running first-order model finding
% 0.18/0.44 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.0SWTtyhDXG/E---3.1_3906.p
% 300.08/100.01 # Version: 3.2.0
% 300.08/100.01 # Preprocessing class: FSMSSMSSSSSNFFN.
% 300.08/100.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.08/100.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 300.08/100.01 # Starting new_bool_3 with 300s (1) cores
% 300.08/100.01 # Starting new_bool_1 with 300s (1) cores
% 300.08/100.01 # Starting sh5l with 300s (1) cores
% 300.08/100.01 # new_bool_3 with pid 4003 completed with status 0
% 300.08/100.01 # Result found by new_bool_3
% 300.08/100.01 # Preprocessing class: FSMSSMSSSSSNFFN.
% 300.08/100.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.08/100.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 300.08/100.01 # Starting new_bool_3 with 300s (1) cores
% 300.08/100.01 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 300.08/100.01 # Search class: FGHSF-FFMF32-SFFFFFNN
% 300.08/100.01 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 300.08/100.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 300.08/100.01 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4007 completed with status 0
% 300.08/100.01 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 300.08/100.01 # Preprocessing class: FSMSSMSSSSSNFFN.
% 300.08/100.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 300.08/100.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 300.08/100.01 # Starting new_bool_3 with 300s (1) cores
% 300.08/100.01 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 300.08/100.01 # Search class: FGHSF-FFMF32-SFFFFFNN
% 300.08/100.01 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 300.08/100.01 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 300.08/100.01 # Preprocessing time : 0.001 s
% 300.08/100.01 # Presaturation interreduction done
% 300.08/100.01
% 300.08/100.01 # Proof found!
% 300.08/100.01 # SZS status Theorem
% 300.08/100.01 # SZS output start CNFRefutation
% See solution above
% 300.08/100.01 # Parsed axioms : 20
% 300.08/100.01 # Removed by relevancy pruning/SinE : 15
% 300.08/100.01 # Initial clauses : 35
% 300.08/100.01 # Removed in clause preprocessing : 0
% 300.08/100.01 # Initial clauses in saturation : 35
% 300.08/100.01 # Processed clauses : 224
% 300.08/100.01 # ...of these trivial : 0
% 300.08/100.01 # ...subsumed : 53
% 300.08/100.01 # ...remaining for further processing : 171
% 300.08/100.01 # Other redundant clauses eliminated : 1
% 300.08/100.01 # Clauses deleted for lack of memory : 0
% 300.08/100.01 # Backward-subsumed : 2
% 300.08/100.01 # Backward-rewritten : 6
% 300.08/100.01 # Generated clauses : 448
% 300.08/100.01 # ...of the previous two non-redundant : 393
% 300.08/100.01 # ...aggressively subsumed : 0
% 300.08/100.01 # Contextual simplify-reflections : 0
% 300.08/100.01 # Paramodulations : 445
% 300.08/100.01 # Factorizations : 2
% 300.08/100.01 # NegExts : 0
% 300.08/100.01 # Equation resolutions : 1
% 300.08/100.01 # Disequality decompositions : 0
% 300.08/100.01 # Total rewrite steps : 51
% 300.08/100.01 # ...of those cached : 39
% 300.08/100.01 # Propositional unsat checks : 0
% 300.08/100.01 # Propositional check models : 0
% 300.08/100.01 # Propositional check unsatisfiable : 0
% 300.08/100.01 # Propositional clauses : 0
% 300.08/100.01 # Propositional clauses after purity: 0
% 300.08/100.01 # Propositional unsat core size : 0
% 300.08/100.01 # Propositional preprocessing time : 0.000
% 300.08/100.01 # Propositional encoding time : 0.000
% 300.08/100.01 # Propositional solver time : 0.000
% 300.08/100.01 # Success case prop preproc time : 0.000
% 300.08/100.01 # Success case prop encoding time : 0.000
% 300.08/100.01 # Success case prop solver time : 0.000
% 300.08/100.01 # Current number of processed clauses : 127
% 300.08/100.01 # Positive orientable unit clauses : 10
% 300.08/100.01 # Positive unorientable unit clauses: 0
% 300.08/100.01 # Negative unit clauses : 1
% 300.08/100.01 # Non-unit-clauses : 116
% 300.08/100.01 # Current number of unprocessed clauses: 220
% 300.08/100.01 # ...number of literals in the above : 933
% 300.08/100.01 # Current number of archived formulas : 0
% 300.08/100.01 # Current number of archived clauses : 43
% 300.08/100.01 # Clause-clause subsumption calls (NU) : 3362
% 300.08/100.01 # Rec. Clause-clause subsumption calls : 1512
% 300.08/100.01 # Non-unit clause-clause subsumptions : 51
% 300.08/100.01 # Unit Clause-clause subsumption calls : 315
% 300.08/100.01 # Rewrite failures with RHS unbound : 0
% 300.08/100.01 # BW rewrite match attempts : 20
% 300.08/100.01 # BW rewrite match successes : 2
% 300.08/100.01 # Condensation attempts : 0
% 300.08/100.01 # Condensation successes : 0
% 300.08/100.01 # Termbank termtop insertions : 10256
% 300.08/100.01 # Search garbage collected termcells : 701
% 300.08/100.01
% 300.08/100.01 # -------------------------------------------------
% 300.08/100.01 # User time : 0.013 s
% 300.08/100.01 # System time : 0.002 s
% 300.08/100.01 # Total time : 0.015 s
% 300.08/100.01 # Maximum resident set size: 1868 pages
% 300.08/100.01
% 300.08/100.01 # -------------------------------------------------
% 300.08/100.01 # User time : 0.015 s
% 300.08/100.01 # System time : 0.004 s
% 300.08/100.01 # Total time : 0.019 s
% 300.08/100.01 # Maximum resident set size: 1732 pages
% 300.08/100.01 % E---3.1 exiting
% 300.08/100.01 % E exiting
%------------------------------------------------------------------------------