TSTP Solution File: SEU208+2 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU208+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 09:25:37 EDT 2024
% Result : Theorem 62.41s 8.37s
% Output : CNFRefutation 62.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 35 ( 5 unt; 0 def)
% Number of atoms : 144 ( 10 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 187 ( 78 ~; 84 |; 16 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 70 ( 1 sgn 26 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t166_relat_1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_inverse_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_rng(X3))
& in(ordered_pair(X1,X4),X3)
& in(X4,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.recAKNVt4I/E---3.1_27543.p',t166_relat_1) ).
fof(d14_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2,X3] :
( X3 = relation_inverse_image(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ? [X5] :
( in(ordered_pair(X4,X5),X1)
& in(X5,X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.recAKNVt4I/E---3.1_27543.p',d14_relat_1) ).
fof(t20_relat_1,lemma,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_dom(X3))
& in(X2,relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.recAKNVt4I/E---3.1_27543.p',t20_relat_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_inverse_image(X3,X2))
<=> ? [X4] :
( in(X4,relation_rng(X3))
& in(ordered_pair(X1,X4),X3)
& in(X4,X2) ) ) ),
inference(assume_negation,[status(cth)],[t166_relat_1]) ).
fof(c_0_4,negated_conjecture,
! [X10] :
( relation(esk3_0)
& ( ~ in(esk1_0,relation_inverse_image(esk3_0,esk2_0))
| ~ in(X10,relation_rng(esk3_0))
| ~ in(ordered_pair(esk1_0,X10),esk3_0)
| ~ in(X10,esk2_0) )
& ( in(esk4_0,relation_rng(esk3_0))
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) )
& ( in(ordered_pair(esk1_0,esk4_0),esk3_0)
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) )
& ( in(esk4_0,esk2_0)
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) ) ),
inference(distribute,[status(thm)],[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_3])])])])])]) ).
fof(c_0_5,plain,
! [X83,X84,X85,X86,X88,X89,X90,X91,X93] :
( ( in(ordered_pair(X86,esk22_4(X83,X84,X85,X86)),X83)
| ~ in(X86,X85)
| X85 != relation_inverse_image(X83,X84)
| ~ relation(X83) )
& ( in(esk22_4(X83,X84,X85,X86),X84)
| ~ in(X86,X85)
| X85 != relation_inverse_image(X83,X84)
| ~ relation(X83) )
& ( ~ in(ordered_pair(X88,X89),X83)
| ~ in(X89,X84)
| in(X88,X85)
| X85 != relation_inverse_image(X83,X84)
| ~ relation(X83) )
& ( ~ in(esk23_3(X83,X90,X91),X91)
| ~ in(ordered_pair(esk23_3(X83,X90,X91),X93),X83)
| ~ in(X93,X90)
| X91 = relation_inverse_image(X83,X90)
| ~ relation(X83) )
& ( in(ordered_pair(esk23_3(X83,X90,X91),esk24_3(X83,X90,X91)),X83)
| in(esk23_3(X83,X90,X91),X91)
| X91 = relation_inverse_image(X83,X90)
| ~ relation(X83) )
& ( in(esk24_3(X83,X90,X91),X90)
| in(esk23_3(X83,X90,X91),X91)
| X91 = relation_inverse_image(X83,X90)
| ~ relation(X83) ) ),
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)],[d14_relat_1])])])])])])]) ).
cnf(c_0_6,negated_conjecture,
( ~ in(esk1_0,relation_inverse_image(esk3_0,esk2_0))
| ~ in(X1,relation_rng(esk3_0))
| ~ in(ordered_pair(esk1_0,X1),esk3_0)
| ~ in(X1,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( in(ordered_pair(esk1_0,esk4_0),esk3_0)
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
( in(ordered_pair(X1,esk22_4(X2,X3,X4,X1)),X2)
| ~ in(X1,X4)
| X4 != relation_inverse_image(X2,X3)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,lemma,
! [X67,X68,X69] :
( ( in(X67,relation_dom(X69))
| ~ in(ordered_pair(X67,X68),X69)
| ~ relation(X69) )
& ( in(X68,relation_rng(X69))
| ~ in(ordered_pair(X67,X68),X69)
| ~ relation(X69) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t20_relat_1])])])]) ).
cnf(c_0_10,negated_conjecture,
( in(ordered_pair(esk1_0,esk4_0),esk3_0)
| ~ in(ordered_pair(esk1_0,X1),esk3_0)
| ~ in(X1,relation_rng(esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( in(ordered_pair(X1,esk22_4(X2,X3,relation_inverse_image(X2,X3),X1)),X2)
| ~ relation(X2)
| ~ in(X1,relation_inverse_image(X2,X3)) ),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,lemma,
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X3,X1),X2)
| ~ relation(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
( in(esk4_0,esk2_0)
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
( in(ordered_pair(esk1_0,esk4_0),esk3_0)
| ~ in(esk22_4(esk3_0,X1,relation_inverse_image(esk3_0,X1),esk1_0),relation_rng(esk3_0))
| ~ in(esk22_4(esk3_0,X1,relation_inverse_image(esk3_0,X1),esk1_0),esk2_0)
| ~ in(esk1_0,relation_inverse_image(esk3_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_16,lemma,
( in(esk22_4(X1,X2,relation_inverse_image(X1,X2),X3),relation_rng(X1))
| ~ relation(X1)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_17,plain,
( in(esk22_4(X1,X2,X3,X4),X2)
| ~ in(X4,X3)
| X3 != relation_inverse_image(X1,X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
( in(esk4_0,esk2_0)
| ~ in(ordered_pair(esk1_0,X1),esk3_0)
| ~ in(X1,relation_rng(esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( in(esk4_0,relation_rng(esk3_0))
| in(esk1_0,relation_inverse_image(esk3_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,plain,
( in(X1,X5)
| ~ in(ordered_pair(X1,X2),X3)
| ~ in(X2,X4)
| X5 != relation_inverse_image(X3,X4)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
( in(ordered_pair(esk1_0,esk4_0),esk3_0)
| ~ in(esk22_4(esk3_0,X1,relation_inverse_image(esk3_0,X1),esk1_0),esk2_0)
| ~ in(esk1_0,relation_inverse_image(esk3_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_12])]) ).
cnf(c_0_22,plain,
( in(esk22_4(X1,X2,relation_inverse_image(X1,X2),X3),X2)
| ~ relation(X1)
| ~ in(X3,relation_inverse_image(X1,X2)) ),
inference(er,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( in(esk4_0,esk2_0)
| ~ in(esk22_4(esk3_0,X1,relation_inverse_image(esk3_0,X1),esk1_0),relation_rng(esk3_0))
| ~ in(esk22_4(esk3_0,X1,relation_inverse_image(esk3_0,X1),esk1_0),esk2_0)
| ~ in(esk1_0,relation_inverse_image(esk3_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_11]),c_0_12])]) ).
cnf(c_0_24,negated_conjecture,
( in(esk4_0,relation_rng(esk3_0))
| ~ in(ordered_pair(esk1_0,X1),esk3_0)
| ~ in(X1,relation_rng(esk3_0))
| ~ in(X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_19]) ).
cnf(c_0_25,plain,
( in(X1,relation_inverse_image(X2,X3))
| ~ relation(X2)
| ~ in(ordered_pair(X1,X4),X2)
| ~ in(X4,X3) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
in(ordered_pair(esk1_0,esk4_0),esk3_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_12])]),c_0_7]) ).
cnf(c_0_27,negated_conjecture,
( in(esk4_0,esk2_0)
| ~ in(esk22_4(esk3_0,X1,relation_inverse_image(esk3_0,X1),esk1_0),esk2_0)
| ~ in(esk1_0,relation_inverse_image(esk3_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_16]),c_0_12])]) ).
cnf(c_0_28,negated_conjecture,
( in(esk4_0,relation_rng(esk3_0))
| ~ in(esk22_4(esk3_0,X1,relation_inverse_image(esk3_0,X1),esk1_0),relation_rng(esk3_0))
| ~ in(esk22_4(esk3_0,X1,relation_inverse_image(esk3_0,X1),esk1_0),esk2_0)
| ~ in(esk1_0,relation_inverse_image(esk3_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_11]),c_0_12])]) ).
cnf(c_0_29,negated_conjecture,
( in(esk1_0,relation_inverse_image(esk3_0,X1))
| ~ in(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_12])]) ).
cnf(c_0_30,negated_conjecture,
in(esk4_0,esk2_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22]),c_0_12])]),c_0_14]) ).
cnf(c_0_31,negated_conjecture,
( in(esk4_0,relation_rng(esk3_0))
| ~ in(esk22_4(esk3_0,X1,relation_inverse_image(esk3_0,X1),esk1_0),esk2_0)
| ~ in(esk1_0,relation_inverse_image(esk3_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_16]),c_0_12])]) ).
cnf(c_0_32,negated_conjecture,
( ~ in(ordered_pair(esk1_0,X1),esk3_0)
| ~ in(X1,relation_rng(esk3_0))
| ~ in(X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_29]),c_0_30])]) ).
cnf(c_0_33,negated_conjecture,
in(esk4_0,relation_rng(esk3_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_22]),c_0_12])]),c_0_19]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_26]),c_0_33]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU208+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 07:59:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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.recAKNVt4I/E---3.1_27543.p
% 62.41/8.37 # Version: 3.1.0
% 62.41/8.37 # Preprocessing class: FSLSSMSSSSSNFFN.
% 62.41/8.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.41/8.37 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 62.41/8.37 # Starting new_bool_3 with 300s (1) cores
% 62.41/8.37 # Starting new_bool_1 with 300s (1) cores
% 62.41/8.37 # Starting sh5l with 300s (1) cores
% 62.41/8.37 # new_bool_1 with pid 27623 completed with status 0
% 62.41/8.37 # Result found by new_bool_1
% 62.41/8.37 # Preprocessing class: FSLSSMSSSSSNFFN.
% 62.41/8.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.41/8.37 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 62.41/8.37 # Starting new_bool_3 with 300s (1) cores
% 62.41/8.37 # Starting new_bool_1 with 300s (1) cores
% 62.41/8.37 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 62.41/8.37 # Search class: FGHSM-FFMM31-SFFFFFNN
% 62.41/8.37 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 62.41/8.37 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 62.41/8.37 # G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 27626 completed with status 0
% 62.41/8.37 # Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 62.41/8.37 # Preprocessing class: FSLSSMSSSSSNFFN.
% 62.41/8.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.41/8.37 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 62.41/8.37 # Starting new_bool_3 with 300s (1) cores
% 62.41/8.37 # Starting new_bool_1 with 300s (1) cores
% 62.41/8.37 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 62.41/8.37 # Search class: FGHSM-FFMM31-SFFFFFNN
% 62.41/8.37 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 62.41/8.37 # Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 62.41/8.37 # Preprocessing time : 0.006 s
% 62.41/8.37 # Presaturation interreduction done
% 62.41/8.37
% 62.41/8.37 # Proof found!
% 62.41/8.37 # SZS status Theorem
% 62.41/8.37 # SZS output start CNFRefutation
% See solution above
% 62.41/8.37 # Parsed axioms : 205
% 62.41/8.37 # Removed by relevancy pruning/SinE : 141
% 62.41/8.37 # Initial clauses : 123
% 62.41/8.37 # Removed in clause preprocessing : 2
% 62.41/8.37 # Initial clauses in saturation : 121
% 62.41/8.37 # Processed clauses : 17714
% 62.41/8.37 # ...of these trivial : 228
% 62.41/8.37 # ...subsumed : 13358
% 62.41/8.37 # ...remaining for further processing : 4128
% 62.41/8.37 # Other redundant clauses eliminated : 863
% 62.41/8.37 # Clauses deleted for lack of memory : 0
% 62.41/8.37 # Backward-subsumed : 271
% 62.41/8.37 # Backward-rewritten : 522
% 62.41/8.37 # Generated clauses : 344689
% 62.41/8.37 # ...of the previous two non-redundant : 330870
% 62.41/8.37 # ...aggressively subsumed : 0
% 62.41/8.37 # Contextual simplify-reflections : 115
% 62.41/8.37 # Paramodulations : 343768
% 62.41/8.37 # Factorizations : 57
% 62.41/8.37 # NegExts : 0
% 62.41/8.37 # Equation resolutions : 865
% 62.41/8.37 # Disequality decompositions : 0
% 62.41/8.37 # Total rewrite steps : 56832
% 62.41/8.37 # ...of those cached : 56335
% 62.41/8.37 # Propositional unsat checks : 0
% 62.41/8.37 # Propositional check models : 0
% 62.41/8.37 # Propositional check unsatisfiable : 0
% 62.41/8.37 # Propositional clauses : 0
% 62.41/8.37 # Propositional clauses after purity: 0
% 62.41/8.37 # Propositional unsat core size : 0
% 62.41/8.37 # Propositional preprocessing time : 0.000
% 62.41/8.37 # Propositional encoding time : 0.000
% 62.41/8.37 # Propositional solver time : 0.000
% 62.41/8.37 # Success case prop preproc time : 0.000
% 62.41/8.37 # Success case prop encoding time : 0.000
% 62.41/8.37 # Success case prop solver time : 0.000
% 62.41/8.37 # Current number of processed clauses : 3212
% 62.41/8.37 # Positive orientable unit clauses : 201
% 62.41/8.37 # Positive unorientable unit clauses: 0
% 62.41/8.37 # Negative unit clauses : 139
% 62.41/8.37 # Non-unit-clauses : 2872
% 62.41/8.37 # Current number of unprocessed clauses: 312635
% 62.41/8.37 # ...number of literals in the above : 1688085
% 62.41/8.37 # Current number of archived formulas : 0
% 62.41/8.37 # Current number of archived clauses : 898
% 62.41/8.37 # Clause-clause subsumption calls (NU) : 1122095
% 62.41/8.37 # Rec. Clause-clause subsumption calls : 527741
% 62.41/8.37 # Non-unit clause-clause subsumptions : 5036
% 62.41/8.37 # Unit Clause-clause subsumption calls : 21461
% 62.41/8.37 # Rewrite failures with RHS unbound : 0
% 62.41/8.37 # BW rewrite match attempts : 75
% 62.41/8.37 # BW rewrite match successes : 44
% 62.41/8.37 # Condensation attempts : 0
% 62.41/8.37 # Condensation successes : 0
% 62.41/8.37 # Termbank termtop insertions : 7174947
% 62.41/8.37 # Search garbage collected termcells : 2931
% 62.41/8.37
% 62.41/8.37 # -------------------------------------------------
% 62.41/8.37 # User time : 7.530 s
% 62.41/8.37 # System time : 0.246 s
% 62.41/8.37 # Total time : 7.776 s
% 62.41/8.37 # Maximum resident set size: 2236 pages
% 62.41/8.37
% 62.41/8.37 # -------------------------------------------------
% 62.41/8.37 # User time : 7.533 s
% 62.41/8.37 # System time : 0.249 s
% 62.41/8.37 # Total time : 7.782 s
% 62.41/8.37 # Maximum resident set size: 1904 pages
% 62.41/8.37 % E---3.1 exiting
% 62.41/8.37 % E exiting
%------------------------------------------------------------------------------