%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU303+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:24:38 PM UTC 2026
% Result : Theorem 5.54s 6.29s
% Output : CNFRefutation 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 39 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 14 ~; 11 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_finset_1,conjecture,
! [X1] :
( ( function(X1)
& relation(X1) )
=> ( finite(relation_dom(X1))
=> finite(relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).
fof(fc13_finset_1,axiom,
! [X1,X2] :
( ( finite(X2)
& function(X1)
& relation(X1) )
=> finite(relation_image(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(t146_relat_1,lemma,
! [X1] :
( relation(X1)
=> relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( finite(relation_dom(X1))
=> finite(relation_rng(X1)) ) ),
inference(assume_negation,[status(cth)],[t26_finset_1]) ).
fof(c_0_4,plain,
! [X513,X514] :
( finite(relation_image(X513,X514))
| ~ finite(X514)
| ~ function(X513)
| ~ relation(X513) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc13_finset_1])])]) ).
fof(c_0_5,lemma,
! [X1050] :
( relation_image(X1050,relation_dom(X1050)) = relation_rng(X1050)
| ~ relation(X1050) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t146_relat_1])])]) ).
fof(c_0_6,negated_conjecture,
( ~ finite(relation_rng(esk282_0))
& finite(relation_dom(esk282_0))
& function(esk282_0)
& relation(esk282_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_7,plain,
( ~ finite(X2)
| ~ function(X1)
| ~ relation(X1)
| finite(relation_image(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,lemma,
( ~ relation(X1)
| relation_image(X1,relation_dom(X1)) = relation_rng(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ finite(relation_rng(esk282_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,lemma,
( ~ finite(relation_dom(X1))
| ~ function(X1)
| ~ relation(X1)
| finite(relation_rng(X1)) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
relation(esk282_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
function(esk282_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
finite(relation_dom(esk282_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,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_9,c_0_10]),c_0_11]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n005.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 06:09:23 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.44 Running first-order theorem proving
% 0.14/5.44 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/benchmark/theBenchmark.p
% 5.54/6.29 % Version: 3.5.1
% 5.54/6.29 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.54/6.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.54/6.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.54/6.29 % Starting new_bool_3 with 300s (1) cores
% 5.54/6.29 % Starting new_bool_1 with 300s (1) cores
% 5.54/6.29 % Starting sh5l with 300s (1) cores
% 5.54/6.29 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2722577 completed with status 0
% 5.54/6.29 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 5.54/6.29 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.54/6.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.54/6.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.54/6.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.54/6.29 % No SInE strategy applied
% 5.54/6.29 % Search class: FGHSM-SMLM32-MFFFFFNN
% 5.54/6.29 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 5.54/6.29 % Starting SubtermCWHack with 136s (1) cores
% 5.54/6.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.54/6.29 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 113s (1) cores
% 5.54/6.29 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 113s (1) cores
% 5.54/6.29 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 113s (1) cores
% 5.54/6.29 % C12_02_nc_SAT001_MinMin_p005000_rr with pid 2722586 completed with status 0
% 5.54/6.29 % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 5.54/6.29 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.54/6.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.54/6.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.54/6.29 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.54/6.29 % No SInE strategy applied
% 5.54/6.29 % Search class: FGHSM-SMLM32-MFFFFFNN
% 5.54/6.29 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 5.54/6.29 % Starting SubtermCWHack with 136s (1) cores
% 5.54/6.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.54/6.29 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 113s (1) cores
% 5.54/6.29 % Preprocessing time : 0.032 s
% 5.54/6.29 % Presaturation interreduction done
% 5.54/6.29
% 5.54/6.29 % Proof found!
% 5.54/6.29 % SZS status Theorem
% 5.54/6.29 % SZS output start CNFRefutation
% See solution above
% 5.54/6.29 % Parsed axioms : 420
% 5.54/6.29 % Removed by relevancy pruning/SinE : 0
% 5.54/6.29 % Initial clauses : 1731
% 5.54/6.29 % Removed in clause preprocessing : 37
% 5.54/6.29 % Initial clauses in saturation : 1694
% 5.54/6.29 % Processed clauses : 2732
% 5.54/6.29 % ...of these trivial : 20
% 5.54/6.29 % ...subsumed : 296
% 5.54/6.29 % ...remaining for further processing : 2416
% 5.54/6.29 % Other redundant clauses eliminated : 512
% 5.54/6.29 % Clauses deleted for lack of memory : 0
% 5.54/6.29 % Backward-subsumed : 15
% 5.54/6.29 % Backward-rewritten : 30
% 5.54/6.29 % Generated clauses : 1408
% 5.54/6.29 % ...of the previous two non-redundant : 1073
% 5.54/6.29 % ...aggressively subsumed : 0
% 5.54/6.29 % Contextual simplify-reflections : 192
% 5.54/6.29 % Paramodulations : 1025
% 5.54/6.29 % Factorizations : 0
% 5.54/6.29 % NegExts : 0
% 5.54/6.29 % Equation resolutions : 512
% 5.54/6.29 % Disequality decompositions : 0
% 5.54/6.29 % Total rewrite steps : 856
% 5.54/6.29 % ...of those cached : 668
% 5.54/6.29 % Propositional unsat checks : 0
% 5.54/6.29 % Propositional check models : 0
% 5.54/6.29 % Propositional check unsatisfiable : 0
% 5.54/6.29 % Propositional clauses : 0
% 5.54/6.29 % Propositional clauses after purity: 0
% 5.54/6.29 % Propositional unsat core size : 0
% 5.54/6.29 % Propositional preprocessing time : 0.000
% 5.54/6.29 % Propositional encoding time : 0.000
% 5.54/6.29 % Propositional solver time : 0.000
% 5.54/6.29 % Success case prop preproc time : 0.000
% 5.54/6.29 % Success case prop encoding time : 0.000
% 5.54/6.29 % Success case prop solver time : 0.000
% 5.54/6.29 % Current number of processed clauses : 436
% 5.54/6.29 % Positive orientable unit clauses : 123
% 5.54/6.29 % Positive unorientable unit clauses: 3
% 5.54/6.29 % Negative unit clauses : 50
% 5.54/6.29 % Non-unit-clauses : 260
% 5.54/6.29 % Current number of unprocessed clauses: 1598
% 5.54/6.29 % ...number of literals in the above : 6797
% 5.54/6.29 % Current number of archived formulas : 0
% 5.54/6.29 % Current number of archived clauses : 1616
% 5.54/6.29 % Clause-clause subsumption calls (NU) : 1778809
% 5.54/6.29 % Rec. Clause-clause subsumption calls : 165942
% 5.54/6.29 % Non-unit clause-clause subsumptions : 381
% 5.54/6.29 % Unit Clause-clause subsumption calls : 5192
% 5.54/6.29 % Rewrite failures with RHS unbound : 0
% 5.54/6.29 % BW rewrite match attempts : 93
% 5.54/6.29 % BW rewrite match successes : 69
% 5.54/6.29 % Condensation attempts : 0
% 5.54/6.29 % Condensation successes : 0
% 5.54/6.29 % Termbank termtop insertions : 157696
% 5.54/6.29 % Search garbage collected termcells : 24107
% 5.54/6.29
% 5.54/6.29 % -------------------------------------------------
% 5.54/6.29 % User time : 0.777 s
% 5.54/6.29 % System time : 0.030 s
% 5.54/6.29 % Total time : 0.808 s
% 5.54/6.29 % Maximum resident set size: 8548 pages
% 5.54/6.29
% 5.54/6.29 % -------------------------------------------------
% 5.54/6.29 % User time : 3.494 s
% 5.54/6.29 % System time : 0.128 s
% 5.54/6.29 % Total time : 3.622 s
% 5.54/6.29 % Maximum resident set size: 5120 pages
% 5.54/6.29 % E exiting
%------------------------------------------------------------------------------