TSTP Solution File: SEU025+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU025+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 19:24:35 EDT 2023
% Result : Theorem 0.16s 0.55s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 8 unt; 0 def)
% Number of atoms : 105 ( 27 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 129 ( 54 ~; 49 |; 13 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 31 ( 1 sgn; 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t47_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(relation_dom(X1),relation_rng(X2))
=> relation_rng(relation_composition(X2,X1)) = relation_rng(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.9XchmDJOPp/E---3.1_9337.p',t47_relat_1) ).
fof(t55_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ( relation_rng(X1) = relation_dom(function_inverse(X1))
& relation_dom(X1) = relation_rng(function_inverse(X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.9XchmDJOPp/E---3.1_9337.p',t55_funct_1) ).
fof(dt_k2_funct_1,axiom,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation(function_inverse(X1))
& function(function_inverse(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.9XchmDJOPp/E---3.1_9337.p',dt_k2_funct_1) ).
fof(t58_funct_1,conjecture,
! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ( relation_dom(relation_composition(X1,function_inverse(X1))) = relation_dom(X1)
& relation_rng(relation_composition(X1,function_inverse(X1))) = relation_dom(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.9XchmDJOPp/E---3.1_9337.p',t58_funct_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.9XchmDJOPp/E---3.1_9337.p',reflexivity_r1_tarski) ).
fof(t46_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( subset(relation_rng(X1),relation_dom(X2))
=> relation_dom(relation_composition(X1,X2)) = relation_dom(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.9XchmDJOPp/E---3.1_9337.p',t46_relat_1) ).
fof(c_0_6,plain,
! [X46,X47] :
( ~ relation(X46)
| ~ relation(X47)
| ~ subset(relation_dom(X46),relation_rng(X47))
| relation_rng(relation_composition(X47,X46)) = relation_rng(X46) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t47_relat_1])])]) ).
fof(c_0_7,plain,
! [X51] :
( ( relation_rng(X51) = relation_dom(function_inverse(X51))
| ~ one_to_one(X51)
| ~ relation(X51)
| ~ function(X51) )
& ( relation_dom(X51) = relation_rng(function_inverse(X51))
| ~ one_to_one(X51)
| ~ relation(X51)
| ~ function(X51) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t55_funct_1])])]) ).
fof(c_0_8,plain,
! [X9] :
( ( relation(function_inverse(X9))
| ~ relation(X9)
| ~ function(X9) )
& ( function(function_inverse(X9))
| ~ relation(X9)
| ~ function(X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_funct_1])])]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( one_to_one(X1)
=> ( relation_dom(relation_composition(X1,function_inverse(X1))) = relation_dom(X1)
& relation_rng(relation_composition(X1,function_inverse(X1))) = relation_dom(X1) ) ) ),
inference(assume_negation,[status(cth)],[t58_funct_1]) ).
cnf(c_0_10,plain,
( relation_rng(relation_composition(X2,X1)) = relation_rng(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ subset(relation_dom(X1),relation_rng(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( relation_rng(X1) = relation_dom(function_inverse(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( relation(function_inverse(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X37] : subset(X37,X37),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_14,plain,
! [X44,X45] :
( ~ relation(X44)
| ~ relation(X45)
| ~ subset(relation_rng(X44),relation_dom(X45))
| relation_dom(relation_composition(X44,X45)) = relation_dom(X44) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t46_relat_1])])]) ).
fof(c_0_15,negated_conjecture,
( relation(esk12_0)
& function(esk12_0)
& one_to_one(esk12_0)
& ( relation_dom(relation_composition(esk12_0,function_inverse(esk12_0))) != relation_dom(esk12_0)
| relation_rng(relation_composition(esk12_0,function_inverse(esk12_0))) != relation_dom(esk12_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_16,plain,
( relation_rng(relation_composition(X1,function_inverse(X2))) = relation_rng(function_inverse(X2))
| ~ subset(relation_rng(X2),relation_rng(X1))
| ~ one_to_one(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_17,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( relation_dom(relation_composition(X1,X2)) = relation_dom(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ subset(relation_rng(X1),relation_dom(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( relation_dom(relation_composition(esk12_0,function_inverse(esk12_0))) != relation_dom(esk12_0)
| relation_rng(relation_composition(esk12_0,function_inverse(esk12_0))) != relation_dom(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( relation_rng(relation_composition(X1,function_inverse(X1))) = relation_rng(function_inverse(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
one_to_one(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
relation(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
function(esk12_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( relation_dom(relation_composition(X1,function_inverse(X2))) = relation_dom(X1)
| ~ subset(relation_rng(X1),relation_rng(X2))
| ~ one_to_one(X2)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_11]),c_0_12]) ).
cnf(c_0_25,negated_conjecture,
( relation_dom(relation_composition(esk12_0,function_inverse(esk12_0))) != relation_dom(esk12_0)
| relation_rng(function_inverse(esk12_0)) != relation_dom(esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_26,plain,
( relation_dom(relation_composition(X1,function_inverse(X1))) = relation_dom(X1)
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_17]) ).
cnf(c_0_27,negated_conjecture,
relation_rng(function_inverse(esk12_0)) != relation_dom(esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_28,plain,
( relation_dom(X1) = relation_rng(function_inverse(X1))
| ~ one_to_one(X1)
| ~ relation(X1)
| ~ function(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_21]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU025+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n028.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 : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 09:04:06 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.9XchmDJOPp/E---3.1_9337.p
% 0.16/0.55 # Version: 3.1pre001
% 0.16/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.55 # Starting sh5l with 300s (1) cores
% 0.16/0.55 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 9415 completed with status 0
% 0.16/0.55 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.55 # No SInE strategy applied
% 0.16/0.55 # Search class: FGHSM-FFMM21-MFFFFFNN
% 0.16/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.55 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 811s (1) cores
% 0.16/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.55 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.16/0.55 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.55 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.55 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with pid 9424 completed with status 0
% 0.16/0.55 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.16/0.55 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.55 # No SInE strategy applied
% 0.16/0.55 # Search class: FGHSM-FFMM21-MFFFFFNN
% 0.16/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.55 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 811s (1) cores
% 0.16/0.55 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.55 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.16/0.55 # Preprocessing time : 0.002 s
% 0.16/0.55
% 0.16/0.55 # Proof found!
% 0.16/0.55 # SZS status Theorem
% 0.16/0.55 # SZS output start CNFRefutation
% See solution above
% 0.16/0.55 # Parsed axioms : 41
% 0.16/0.55 # Removed by relevancy pruning/SinE : 0
% 0.16/0.55 # Initial clauses : 67
% 0.16/0.55 # Removed in clause preprocessing : 2
% 0.16/0.55 # Initial clauses in saturation : 65
% 0.16/0.55 # Processed clauses : 1039
% 0.16/0.55 # ...of these trivial : 5
% 0.16/0.55 # ...subsumed : 697
% 0.16/0.55 # ...remaining for further processing : 337
% 0.16/0.55 # Other redundant clauses eliminated : 0
% 0.16/0.55 # Clauses deleted for lack of memory : 0
% 0.16/0.55 # Backward-subsumed : 40
% 0.16/0.55 # Backward-rewritten : 35
% 0.16/0.55 # Generated clauses : 5293
% 0.16/0.55 # ...of the previous two non-redundant : 5020
% 0.16/0.55 # ...aggressively subsumed : 0
% 0.16/0.55 # Contextual simplify-reflections : 56
% 0.16/0.55 # Paramodulations : 5293
% 0.16/0.55 # Factorizations : 0
% 0.16/0.55 # NegExts : 0
% 0.16/0.55 # Equation resolutions : 0
% 0.16/0.55 # Total rewrite steps : 1762
% 0.16/0.55 # Propositional unsat checks : 0
% 0.16/0.55 # Propositional check models : 0
% 0.16/0.55 # Propositional check unsatisfiable : 0
% 0.16/0.55 # Propositional clauses : 0
% 0.16/0.55 # Propositional clauses after purity: 0
% 0.16/0.55 # Propositional unsat core size : 0
% 0.16/0.55 # Propositional preprocessing time : 0.000
% 0.16/0.55 # Propositional encoding time : 0.000
% 0.16/0.55 # Propositional solver time : 0.000
% 0.16/0.55 # Success case prop preproc time : 0.000
% 0.16/0.55 # Success case prop encoding time : 0.000
% 0.16/0.55 # Success case prop solver time : 0.000
% 0.16/0.55 # Current number of processed clauses : 262
% 0.16/0.55 # Positive orientable unit clauses : 28
% 0.16/0.55 # Positive unorientable unit clauses: 0
% 0.16/0.55 # Negative unit clauses : 9
% 0.16/0.55 # Non-unit-clauses : 225
% 0.16/0.55 # Current number of unprocessed clauses: 3885
% 0.16/0.55 # ...number of literals in the above : 21516
% 0.16/0.55 # Current number of archived formulas : 0
% 0.16/0.55 # Current number of archived clauses : 75
% 0.16/0.55 # Clause-clause subsumption calls (NU) : 20317
% 0.16/0.55 # Rec. Clause-clause subsumption calls : 10476
% 0.16/0.55 # Non-unit clause-clause subsumptions : 676
% 0.16/0.55 # Unit Clause-clause subsumption calls : 361
% 0.16/0.55 # Rewrite failures with RHS unbound : 0
% 0.16/0.55 # BW rewrite match attempts : 13
% 0.16/0.55 # BW rewrite match successes : 11
% 0.16/0.55 # Condensation attempts : 0
% 0.16/0.55 # Condensation successes : 0
% 0.16/0.55 # Termbank termtop insertions : 76529
% 0.16/0.55
% 0.16/0.55 # -------------------------------------------------
% 0.16/0.55 # User time : 0.115 s
% 0.16/0.55 # System time : 0.009 s
% 0.16/0.55 # Total time : 0.124 s
% 0.16/0.55 # Maximum resident set size: 1884 pages
% 0.16/0.55
% 0.16/0.55 # -------------------------------------------------
% 0.16/0.55 # User time : 0.591 s
% 0.16/0.55 # System time : 0.019 s
% 0.16/0.55 # Total time : 0.610 s
% 0.16/0.55 # Maximum resident set size: 1708 pages
% 0.16/0.55 % E---3.1 exiting
% 0.16/0.55 % E---3.1 exiting
%------------------------------------------------------------------------------