%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET926+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 02:15:47 PM UTC 2026
% Result : Theorem 0.13s 0.64s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 28 ( 17 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 13 ~; 8 |; 3 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t69_zfmisc_1,conjecture,
! [X1,X2] :
( set_difference(singleton(X1),X2) = singleton(X1)
| set_difference(singleton(X1),X2) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_zfmisc_1) ).
fof(l34_zfmisc_1,axiom,
! [X1,X2] :
( set_difference(singleton(X1),X2) = singleton(X1)
<=> ~ in(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l34_zfmisc_1) ).
fof(l36_zfmisc_1,axiom,
! [X1,X2] :
( set_difference(singleton(X1),X2) = empty_set
<=> in(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( set_difference(singleton(X1),X2) = singleton(X1)
| set_difference(singleton(X1),X2) = empty_set ),
inference(assume_negation,[status(cth)],[t69_zfmisc_1]) ).
fof(c_0_4,plain,
! [X1,X2] :
( set_difference(singleton(X1),X2) = singleton(X1)
<=> ~ in(X1,X2) ),
inference(fof_simplification,[status(thm)],[l34_zfmisc_1]) ).
fof(c_0_5,negated_conjecture,
( set_difference(singleton(esk3_0),esk4_0) != singleton(esk3_0)
& set_difference(singleton(esk3_0),esk4_0) != empty_set ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_6,plain,
! [X7,X8] :
( ( set_difference(singleton(X7),X8) = empty_set
| ~ in(X7,X8) )
& ( in(X7,X8)
| set_difference(singleton(X7),X8) != empty_set ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l36_zfmisc_1])])]) ).
fof(c_0_7,plain,
! [X5,X6] :
( ( set_difference(singleton(X5),X6) = singleton(X5)
| in(X5,X6) )
& ( ~ in(X5,X6)
| set_difference(singleton(X5),X6) != singleton(X5) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
cnf(c_0_8,negated_conjecture,
set_difference(singleton(esk3_0),esk4_0) != empty_set,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ in(X1,X2)
| set_difference(singleton(X1),X2) = empty_set ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
set_difference(singleton(esk3_0),esk4_0) != singleton(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,plain,
( set_difference(singleton(X1),X2) = singleton(X1)
| in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
~ in(esk3_0,esk4_0),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET926+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.57 % Computer : n026.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 05:46:53 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 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
% 0.13/0.64 % Version: 3.5.1
% 0.13/0.64 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.64 % Starting sh5l with 300s (1) cores
% 0.13/0.64 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1491463 completed with status 0
% 0.13/0.64 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.13/0.64 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.64 % No SInE strategy applied
% 0.13/0.64 % Search class: FGHSF-FFSF21-SFFFFFNN
% 0.13/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.13/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.64 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.64 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.64 % SubtermCWHack with pid 1491467 completed with status 0
% 0.13/0.64 % Result found by SubtermCWHack
% 0.13/0.64 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.64 % No SInE strategy applied
% 0.13/0.64 % Search class: FGHSF-FFSF21-SFFFFFNN
% 0.13/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.64 % Preprocessing time : 0.001 s
% 0.13/0.64
% 0.13/0.64 % Proof found!
% 0.13/0.64 % SZS status Theorem
% 0.13/0.64 % SZS output start CNFRefutation
% See solution above
% 0.13/0.64 % Parsed axioms : 7
% 0.13/0.64 % Removed by relevancy pruning/SinE : 0
% 0.13/0.64 % Initial clauses : 10
% 0.13/0.64 % Removed in clause preprocessing : 0
% 0.13/0.64 % Initial clauses in saturation : 10
% 0.13/0.64 % Processed clauses : 11
% 0.13/0.64 % ...of these trivial : 0
% 0.13/0.64 % ...subsumed : 1
% 0.13/0.64 % ...remaining for further processing : 10
% 0.13/0.64 % Other redundant clauses eliminated : 0
% 0.13/0.64 % Clauses deleted for lack of memory : 0
% 0.13/0.64 % Backward-subsumed : 0
% 0.13/0.64 % Backward-rewritten : 0
% 0.13/0.64 % Generated clauses : 7
% 0.13/0.64 % ...of the previous two non-redundant : 3
% 0.13/0.64 % ...aggressively subsumed : 0
% 0.13/0.64 % Contextual simplify-reflections : 0
% 0.13/0.64 % Paramodulations : 7
% 0.13/0.64 % Factorizations : 0
% 0.13/0.64 % NegExts : 0
% 0.13/0.64 % Equation resolutions : 0
% 0.13/0.64 % Disequality decompositions : 0
% 0.13/0.64 % Total rewrite steps : 0
% 0.13/0.64 % ...of those cached : 0
% 0.13/0.64 % Propositional unsat checks : 0
% 0.13/0.64 % Propositional check models : 0
% 0.13/0.64 % Propositional check unsatisfiable : 0
% 0.13/0.64 % Propositional clauses : 0
% 0.13/0.64 % Propositional clauses after purity: 0
% 0.13/0.64 % Propositional unsat core size : 0
% 0.13/0.64 % Propositional preprocessing time : 0.000
% 0.13/0.64 % Propositional encoding time : 0.000
% 0.13/0.64 % Propositional solver time : 0.000
% 0.13/0.64 % Success case prop preproc time : 0.000
% 0.13/0.64 % Success case prop encoding time : 0.000
% 0.13/0.64 % Success case prop solver time : 0.000
% 0.13/0.64 % Current number of processed clauses : 10
% 0.13/0.64 % Positive orientable unit clauses : 2
% 0.13/0.64 % Positive unorientable unit clauses: 0
% 0.13/0.64 % Negative unit clauses : 4
% 0.13/0.64 % Non-unit-clauses : 4
% 0.13/0.64 % Current number of unprocessed clauses: 1
% 0.13/0.64 % ...number of literals in the above : 2
% 0.13/0.64 % Current number of archived formulas : 0
% 0.13/0.64 % Current number of archived clauses : 0
% 0.13/0.64 % Clause-clause subsumption calls (NU) : 0
% 0.13/0.64 % Rec. Clause-clause subsumption calls : 0
% 0.13/0.64 % Non-unit clause-clause subsumptions : 0
% 0.13/0.64 % Unit Clause-clause subsumption calls : 0
% 0.13/0.64 % Rewrite failures with RHS unbound : 0
% 0.13/0.64 % BW rewrite match attempts : 0
% 0.13/0.64 % BW rewrite match successes : 0
% 0.13/0.64 % Condensation attempts : 0
% 0.13/0.64 % Condensation successes : 0
% 0.13/0.64 % Termbank termtop insertions : 504
% 0.13/0.64 % Search garbage collected termcells : 81
% 0.13/0.64
% 0.13/0.64 % -------------------------------------------------
% 0.13/0.64 % User time : 0.002 s
% 0.13/0.64 % System time : 0.004 s
% 0.13/0.64 % Total time : 0.006 s
% 0.13/0.64 % Maximum resident set size: 3632 pages
% 0.13/0.64
% 0.13/0.64 % -------------------------------------------------
% 0.13/0.64 % User time : 0.011 s
% 0.13/0.64 % System time : 0.011 s
% 0.13/0.64 % Total time : 0.022 s
% 0.13/0.64 % Maximum resident set size: 4864 pages
% 0.13/0.64 % E exiting
%------------------------------------------------------------------------------