%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET086+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 02:16:28 PM UTC 2026
% Result : Theorem 0.07s 0.34s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 25 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 28 ( 12 ~; 8 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn 3 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(member_of_substitution,conjecture,
! [X1] :
? [X3] :
( ( X3 = X1
& ~ ? [X2] :
( X1 = singleton(X2)
& member(X2,universal_class) ) )
| ( X1 = singleton(X3)
& member(X3,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_substitution) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
? [X3] :
( ( X3 = X1
& ~ ? [X2] :
( X1 = singleton(X2)
& member(X2,universal_class) ) )
| ( X1 = singleton(X3)
& member(X3,universal_class) ) ),
inference(assume_negation,[status(cth)],[member_of_substitution]) ).
fof(c_0_2,negated_conjecture,
! [X11] :
( ( X11 != esk1_0
| esk1_0 = singleton(esk2_1(X11)) )
& ( X11 != esk1_0
| member(esk2_1(X11),universal_class) )
& ( esk1_0 != singleton(X11)
| ~ member(X11,universal_class) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( X1 != esk1_0
| member(esk2_1(X1),universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( esk1_0 != singleton(X1)
| ~ member(X1,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
member(esk2_1(esk1_0),universal_class),
inference(er,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( X1 != esk1_0
| esk1_0 = singleton(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
singleton(esk2_1(esk1_0)) != esk1_0,
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET086+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 04:50:38 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.07/0.34 % Version: 3.5.1
% 0.07/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.34 % Starting sh5l with 300s (1) cores
% 0.07/0.34 % new_bool_3 with pid 1593963 completed with status 0
% 0.07/0.34 % Result found by new_bool_3
% 0.07/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.34 % Search class: FHHSF-FFSF11-SFFFFFNN
% 0.07/0.34 % partial match(1): FGHSF-FFSF11-SFFFFFNN
% 0.07/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.34 % SubtermCWHack with pid 1593966 completed with status 0
% 0.07/0.34 % Result found by SubtermCWHack
% 0.07/0.34 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.34 % Search class: FHHSF-FFSF11-SFFFFFNN
% 0.07/0.34 % partial match(1): FGHSF-FFSF11-SFFFFFNN
% 0.07/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.34 % Preprocessing time : 0.001 s
% 0.07/0.34
% 0.07/0.34 % Proof found!
% 0.07/0.34 % SZS status Theorem
% 0.07/0.34 % SZS output start CNFRefutation
% See solution above
% 0.07/0.34 % Parsed axioms : 44
% 0.07/0.34 % Removed by relevancy pruning/SinE : 43
% 0.07/0.34 % Initial clauses : 3
% 0.07/0.34 % Removed in clause preprocessing : 0
% 0.07/0.34 % Initial clauses in saturation : 3
% 0.07/0.34 % Processed clauses : 5
% 0.07/0.34 % ...of these trivial : 0
% 0.07/0.34 % ...subsumed : 0
% 0.07/0.34 % ...remaining for further processing : 5
% 0.07/0.34 % Other redundant clauses eliminated : 2
% 0.07/0.34 % Clauses deleted for lack of memory : 0
% 0.07/0.34 % Backward-subsumed : 0
% 0.07/0.34 % Backward-rewritten : 0
% 0.07/0.34 % Generated clauses : 3
% 0.07/0.34 % ...of the previous two non-redundant : 2
% 0.07/0.34 % ...aggressively subsumed : 0
% 0.07/0.34 % Contextual simplify-reflections : 0
% 0.07/0.34 % Paramodulations : 1
% 0.07/0.34 % Factorizations : 0
% 0.07/0.34 % NegExts : 0
% 0.07/0.34 % Equation resolutions : 2
% 0.07/0.34 % Disequality decompositions : 0
% 0.07/0.34 % Total rewrite steps : 0
% 0.07/0.34 % ...of those cached : 0
% 0.07/0.34 % Propositional unsat checks : 0
% 0.07/0.34 % Propositional check models : 0
% 0.07/0.34 % Propositional check unsatisfiable : 0
% 0.07/0.34 % Propositional clauses : 0
% 0.07/0.34 % Propositional clauses after purity: 0
% 0.07/0.34 % Propositional unsat core size : 0
% 0.07/0.34 % Propositional preprocessing time : 0.000
% 0.07/0.34 % Propositional encoding time : 0.000
% 0.07/0.34 % Propositional solver time : 0.000
% 0.07/0.34 % Success case prop preproc time : 0.000
% 0.07/0.34 % Success case prop encoding time : 0.000
% 0.07/0.34 % Success case prop solver time : 0.000
% 0.07/0.34 % Current number of processed clauses : 3
% 0.07/0.34 % Positive orientable unit clauses : 1
% 0.07/0.34 % Positive unorientable unit clauses: 0
% 0.07/0.34 % Negative unit clauses : 1
% 0.07/0.34 % Non-unit-clauses : 1
% 0.07/0.34 % Current number of unprocessed clauses: 0
% 0.07/0.34 % ...number of literals in the above : 0
% 0.07/0.34 % Current number of archived formulas : 0
% 0.07/0.34 % Current number of archived clauses : 0
% 0.07/0.34 % Clause-clause subsumption calls (NU) : 0
% 0.07/0.34 % Rec. Clause-clause subsumption calls : 0
% 0.07/0.34 % Non-unit clause-clause subsumptions : 0
% 0.07/0.34 % Unit Clause-clause subsumption calls : 0
% 0.07/0.34 % Rewrite failures with RHS unbound : 0
% 0.07/0.34 % BW rewrite match attempts : 0
% 0.07/0.34 % BW rewrite match successes : 0
% 0.07/0.34 % Condensation attempts : 0
% 0.07/0.34 % Condensation successes : 0
% 0.07/0.34 % Termbank termtop insertions : 661
% 0.07/0.34 % Search garbage collected termcells : 379
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.003 s
% 0.07/0.34 % System time : 0.000 s
% 0.07/0.34 % Total time : 0.003 s
% 0.07/0.34 % Maximum resident set size: 3640 pages
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.004 s
% 0.07/0.34 % System time : 0.002 s
% 0.07/0.34 % Total time : 0.006 s
% 0.07/0.34 % Maximum resident set size: 4864 pages
% 0.07/0.34 % E exiting
%------------------------------------------------------------------------------