%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET797+4 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 02:15:24 PM UTC 2026
% Result : Theorem 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 59 ( 18 ~; 18 |; 13 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 0 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV9,conjecture,
! [X6,X4] :
( order(X6,X4)
=> ! [X3,X5] :
( ( subset(X3,X5)
& subset(X5,X4)
& subset(X3,X4) )
=> ! [X8] :
( upper_bound(X8,X6,X5)
=> upper_bound(X8,X6,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIV9) ).
fof(upper_bound,axiom,
! [X6,X4,X8] :
( upper_bound(X8,X6,X4)
<=> ! [X3] :
( member(X3,X4)
=> apply(X6,X3,X8) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax',upper_bound) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(c_0_3,negated_conjecture,
~ ! [X6,X4] :
( order(X6,X4)
=> ! [X3,X5] :
( ( subset(X3,X5)
& subset(X5,X4)
& subset(X3,X4) )
=> ! [X8] :
( upper_bound(X8,X6,X5)
=> upper_bound(X8,X6,X3) ) ) ),
inference(assume_negation,[status(cth)],[thIV9]) ).
fof(c_0_4,plain,
! [X14,X15,X16,X17,X18,X19,X20] :
( ( upper_bound(X20,X18,X19)
| ~ apply(X18,esk6_3(X18,X19,X20),X20) )
& ( upper_bound(X20,X18,X19)
| member(esk6_3(X18,X19,X20),X19) )
& ( apply(X14,X17,X16)
| ~ member(X17,X15)
| ~ upper_bound(X16,X14,X15) ) ),
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)],[upper_bound])])])])])])]) ).
fof(c_0_5,negated_conjecture,
( ~ upper_bound(esk5_0,esk1_0,esk3_0)
& upper_bound(esk5_0,esk1_0,esk4_0)
& subset(esk3_0,esk4_0)
& subset(esk4_0,esk2_0)
& subset(esk3_0,esk2_0)
& order(esk1_0,esk2_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_6,plain,
( ~ member(X4,X3)
| ~ upper_bound(X1,X2,X3)
| apply(X2,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
upper_bound(esk5_0,esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X22,X23,X24,X25,X26] :
( ( subset(X25,X26)
| ~ member(esk7_2(X25,X26),X26) )
& ( subset(X25,X26)
| member(esk7_2(X25,X26),X25) )
& ( member(X24,X23)
| ~ member(X24,X22)
| ~ subset(X22,X23) ) ),
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)],[subset])])])])])])]) ).
cnf(c_0_9,plain,
( ~ apply(X1,esk6_3(X1,X2,X3),X3)
| upper_bound(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( ~ member(X1,esk4_0)
| apply(esk1_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( ~ member(X3,X1)
| ~ subset(X1,X2)
| member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
subset(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
( ~ member(esk6_3(esk1_0,X1,esk5_0),esk4_0)
| upper_bound(esk5_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( ~ member(X1,esk3_0)
| member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( ~ member(esk6_3(esk1_0,X1,esk5_0),esk3_0)
| upper_bound(esk5_0,esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
( upper_bound(X3,X1,X2)
| member(esk6_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
~ upper_bound(esk5_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET797+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:33:56 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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/benchmark/theBenchmark.p
% 0.15/0.43 % Version: 3.5.1
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % Starting sh5l with 300s (1) cores
% 0.15/0.43 % new_bool_1 with pid 1536900 completed with status 0
% 0.15/0.43 % Result found by new_bool_1
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 % Search class: FGUSF-FFMS32-SFFFFFNN
% 0.15/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.43 % SubtermCWHack with pid 1536902 completed with status 0
% 0.15/0.43 % Result found by SubtermCWHack
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 % Search class: FGUSF-FFMS32-SFFFFFNN
% 0.15/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.43 % Preprocessing time : 0.002 s
% 0.15/0.43
% 0.15/0.43 % Proof found!
% 0.15/0.43 % SZS status Theorem
% 0.15/0.43 % SZS output start CNFRefutation
% See solution above
% 0.15/0.43 % Parsed axioms : 22
% 0.15/0.43 % Removed by relevancy pruning/SinE : 18
% 0.15/0.43 % Initial clauses : 77
% 0.15/0.43 % Removed in clause preprocessing : 0
% 0.15/0.43 % Initial clauses in saturation : 77
% 0.15/0.43 % Processed clauses : 31
% 0.15/0.43 % ...of these trivial : 0
% 0.15/0.43 % ...subsumed : 1
% 0.15/0.43 % ...remaining for further processing : 30
% 0.15/0.43 % Other redundant clauses eliminated : 0
% 0.15/0.43 % Clauses deleted for lack of memory : 0
% 0.15/0.43 % Backward-subsumed : 0
% 0.15/0.43 % Backward-rewritten : 0
% 0.15/0.43 % Generated clauses : 24
% 0.15/0.43 % ...of the previous two non-redundant : 17
% 0.15/0.43 % ...aggressively subsumed : 0
% 0.15/0.43 % Contextual simplify-reflections : 0
% 0.15/0.43 % Paramodulations : 24
% 0.15/0.43 % Factorizations : 0
% 0.15/0.43 % NegExts : 0
% 0.15/0.43 % Equation resolutions : 0
% 0.15/0.43 % Disequality decompositions : 0
% 0.15/0.43 % Total rewrite steps : 4
% 0.15/0.43 % ...of those cached : 0
% 0.15/0.43 % Propositional unsat checks : 0
% 0.15/0.43 % Propositional check models : 0
% 0.15/0.43 % Propositional check unsatisfiable : 0
% 0.15/0.43 % Propositional clauses : 0
% 0.15/0.43 % Propositional clauses after purity: 0
% 0.15/0.43 % Propositional unsat core size : 0
% 0.15/0.43 % Propositional preprocessing time : 0.000
% 0.15/0.43 % Propositional encoding time : 0.000
% 0.15/0.43 % Propositional solver time : 0.000
% 0.15/0.43 % Success case prop preproc time : 0.000
% 0.15/0.43 % Success case prop encoding time : 0.000
% 0.15/0.43 % Success case prop solver time : 0.000
% 0.15/0.43 % Current number of processed clauses : 30
% 0.15/0.43 % Positive orientable unit clauses : 7
% 0.15/0.43 % Positive unorientable unit clauses: 0
% 0.15/0.43 % Negative unit clauses : 1
% 0.15/0.43 % Non-unit-clauses : 22
% 0.15/0.43 % Current number of unprocessed clauses: 63
% 0.15/0.43 % ...number of literals in the above : 257
% 0.15/0.43 % Current number of archived formulas : 0
% 0.15/0.43 % Current number of archived clauses : 0
% 0.15/0.43 % Clause-clause subsumption calls (NU) : 71
% 0.15/0.43 % Rec. Clause-clause subsumption calls : 49
% 0.15/0.43 % Non-unit clause-clause subsumptions : 1
% 0.15/0.43 % Unit Clause-clause subsumption calls : 3
% 0.15/0.43 % Rewrite failures with RHS unbound : 0
% 0.15/0.43 % BW rewrite match attempts : 5
% 0.15/0.43 % BW rewrite match successes : 0
% 0.15/0.43 % Condensation attempts : 0
% 0.15/0.43 % Condensation successes : 0
% 0.15/0.43 % Termbank termtop insertions : 4080
% 0.15/0.43 % Search garbage collected termcells : 997
% 0.15/0.43
% 0.15/0.43 % -------------------------------------------------
% 0.15/0.43 % User time : 0.005 s
% 0.15/0.43 % System time : 0.003 s
% 0.15/0.43 % Total time : 0.007 s
% 0.15/0.43 % Maximum resident set size: 3672 pages
% 0.15/0.43
% 0.15/0.43 % -------------------------------------------------
% 0.15/0.43 % User time : 0.006 s
% 0.15/0.43 % System time : 0.008 s
% 0.15/0.43 % Total time : 0.014 s
% 0.15/0.43 % Maximum resident set size: 4864 pages
% 0.15/0.43 % E exiting
%------------------------------------------------------------------------------