%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWW469^1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 : Wed Sep 30 08:40:10 AM UTC 2026
% Result : Theorem 0.13s 0.26s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 10 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 3 |; 1 &; 0 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 10 !; 4 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
state: $tType ).
thf(decl_25,type,
hoare_1821564147gleton: $o ).
thf(decl_26,type,
esk1_0: state ).
thf(decl_27,type,
esk2_0: state ).
thf(decl_28,type,
esk3_0: state ).
thf(conj_1,conjecture,
! [X2: state] :
~ ! [X1: state] : ( X1 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.s9erOQkUtV/E---3.1_1430337.p',conj_1) ).
thf(fact_0_state__not__singleton__def,axiom,
( hoare_1821564147gleton
<=> ? [X1: state,X2: state] : ( X1 != X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.s9erOQkUtV/E---3.1_1430337.p',fact_0_state__not__singleton__def) ).
thf(conj_0,hypothesis,
hoare_1821564147gleton,
file('/export/starexec/sandbox2/tmp/tmp.s9erOQkUtV/E---3.1_1430337.p',conj_0) ).
thf(c_0_3,negated_conjecture,
~ ! [X2: state] :
~ ! [X1: state] : ( X1 = X2 ),
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(c_0_4,plain,
( hoare_1821564147gleton
<=> ? [X1: state,X2: state] : ( X1 != X2 ) ),
inference(fof_simplification,[status(thm)],[fact_0_state__not__singleton__def]) ).
thf(c_0_5,negated_conjecture,
! [X12: state] : ( X12 = esk3_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
thf(c_0_6,plain,
! [X9: state,X10: state] :
( ( ~ hoare_1821564147gleton
| ( esk1_0 != esk2_0 ) )
& ( ( X9 = X10 )
| hoare_1821564147gleton ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
thf(c_0_7,negated_conjecture,
! [X1: state] : ( X1 = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
( ~ hoare_1821564147gleton
| ( esk1_0 != esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,hypothesis,
hoare_1821564147gleton,
inference(split_conjunct,[status(thm)],[conj_0]) ).
thf(c_0_10,negated_conjecture,
! [X1: state,X2: state] : ( X1 = X2 ),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
thf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW469^1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.18 % Computer : n001.cluster.edu
% 0.13/0.18 % Model : x86_64 x86_64
% 0.13/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18 % Memory : 8046.5625MB
% 0.13/0.18 % OS : Linux 6.8.0-71-generic
% 0.13/0.18 % CPULimit : 300
% 0.13/0.18 % WCLimit : 300
% 0.13/0.18 % DateTime : Tue Sep 29 16:10:50 UTC 2026
% 0.13/0.18 % CPUTime :
% 0.13/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.23 Running higher-order theorem proving
% 0.13/0.24 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.s9erOQkUtV/E---3.1_1430337.p
% 0.13/0.26 % Version: 3.5.1-ho
% 0.13/0.26 % Preprocessing class: HSSSSLSSSSSNFFN.
% 0.13/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.13/0.26 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.13/0.26 % Starting ho_unfolding_6 with 300s (1) cores
% 0.13/0.26 % Starting sh4l with 300s (1) cores
% 0.13/0.26 % sh4l with pid 1430365 completed with status 0
% 0.13/0.26 % Result found by sh4l
% 0.13/0.26 % Preprocessing class: HSSSSLSSSSSNFFN.
% 0.13/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.13/0.26 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.13/0.26 % Starting ho_unfolding_6 with 300s (1) cores
% 0.13/0.26 % Starting sh4l with 300s (1) cores
% 0.13/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.26 % No SInE strategy applied
% 0.13/0.26 % Search class: HGHSF-FFSS00-SFFFFFNN
% 0.13/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.26 % SubtermCWHack with pid 1430366 completed with status 0
% 0.13/0.26 % Result found by SubtermCWHack
% 0.13/0.26 % Preprocessing class: HSSSSLSSSSSNFFN.
% 0.13/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.26 % Starting new_ho_10 with 1500s (5) cores
% 0.13/0.26 % Starting ehoh_best8_lambda with 300s (1) cores
% 0.13/0.26 % Starting ho_unfolding_6 with 300s (1) cores
% 0.13/0.26 % Starting sh4l with 300s (1) cores
% 0.13/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.26 % No SInE strategy applied
% 0.13/0.26 % Search class: HGHSF-FFSS00-SFFFFFNN
% 0.13/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.26 % Preprocessing time : 0.001 s
% 0.13/0.26
% 0.13/0.26 % Proof found!
% 0.13/0.26 % SZS status Theorem
% 0.13/0.26 % SZS output start CNFRefutation
% See solution above
% 0.13/0.26 % Parsed axioms : 10
% 0.13/0.26 % Removed by relevancy pruning/SinE : 0
% 0.13/0.26 % Initial clauses : 11
% 0.13/0.26 % Removed in clause preprocessing : 4
% 0.13/0.26 % Initial clauses in saturation : 7
% 0.13/0.26 % Processed clauses : 7
% 0.13/0.26 % ...of these trivial : 1
% 0.13/0.26 % ...subsumed : 0
% 0.13/0.26 % ...remaining for further processing : 5
% 0.13/0.26 % Other redundant clauses eliminated : 0
% 0.13/0.26 % Clauses deleted for lack of memory : 0
% 0.13/0.26 % Backward-subsumed : 1
% 0.13/0.26 % Backward-rewritten : 0
% 0.13/0.26 % Generated clauses : 2
% 0.13/0.26 % ...of the previous two non-redundant : 2
% 0.13/0.26 % ...aggressively subsumed : 0
% 0.13/0.26 % Contextual simplify-reflections : 0
% 0.13/0.26 % Paramodulations : 2
% 0.13/0.26 % Factorizations : 0
% 0.13/0.26 % NegExts : 0
% 0.13/0.26 % Equation resolutions : 0
% 0.13/0.26 % Disequality decompositions : 0
% 0.13/0.26 % Total rewrite steps : 2
% 0.13/0.26 % ...of those cached : 0
% 0.13/0.26 % Propositional unsat checks : 0
% 0.13/0.26 % Propositional check models : 0
% 0.13/0.26 % Propositional check unsatisfiable : 0
% 0.13/0.26 % Propositional clauses : 0
% 0.13/0.26 % Propositional clauses after purity: 0
% 0.13/0.26 % Propositional unsat core size : 0
% 0.13/0.26 % Propositional preprocessing time : 0.000
% 0.13/0.26 % Propositional encoding time : 0.000
% 0.13/0.26 % Propositional solver time : 0.000
% 0.13/0.26 % Success case prop preproc time : 0.000
% 0.13/0.26 % Success case prop encoding time : 0.000
% 0.13/0.26 % Success case prop solver time : 0.000
% 0.13/0.26 % Current number of processed clauses : 4
% 0.13/0.26 % Positive orientable unit clauses : 2
% 0.13/0.26 % Positive unorientable unit clauses: 1
% 0.13/0.26 % Negative unit clauses : 1
% 0.13/0.26 % Non-unit-clauses : 0
% 0.13/0.26 % Current number of unprocessed clauses: 1
% 0.13/0.26 % ...number of literals in the above : 2
% 0.13/0.26 % Current number of archived formulas : 0
% 0.13/0.26 % Current number of archived clauses : 1
% 0.13/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.13/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.13/0.26 % Non-unit clause-clause subsumptions : 0
% 0.13/0.26 % Unit Clause-clause subsumption calls : 3
% 0.13/0.26 % Rewrite failures with RHS unbound : 10
% 0.13/0.26 % BW rewrite match attempts : 14
% 0.13/0.26 % BW rewrite match successes : 2
% 0.13/0.26 % Condensation attempts : 0
% 0.13/0.26 % Condensation successes : 0
% 0.13/0.26 % Termbank termtop insertions : 256
% 0.13/0.26 % Search garbage collected termcells : 50
% 0.13/0.26
% 0.13/0.26 % -------------------------------------------------
% 0.13/0.26 % User time : 0.002 s
% 0.13/0.26 % System time : 0.002 s
% 0.13/0.26 % Total time : 0.004 s
% 0.13/0.26 % Maximum resident set size: 3628 pages
% 0.13/0.26
% 0.13/0.26 % -------------------------------------------------
% 0.13/0.26 % User time : 0.004 s
% 0.13/0.26 % System time : 0.006 s
% 0.13/0.26 % Total time : 0.010 s
% 0.13/0.26 % Maximum resident set size: 4864 pages
% 0.13/0.26 % E exiting
%------------------------------------------------------------------------------