%------------------------------------------------------------------------------
% File : E---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 : n014.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 03:10:44 PM UTC 2026
% Result : Theorem 0.26s 0.53s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 43 ( 12 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 44 ( 19 ~; 11 |; 8 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 7 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_0_state__not__singleton__def,axiom,
( hoare_165779456gleton
<=> ? [X1,X2] :
( X1 != X2
& is_state(X2)
& is_state(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
fof(conj_1,conjecture,
! [X2] :
( is_state(X2)
=> ~ ! [X1] :
( is_state(X1)
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(conj_0,hypothesis,
hoare_165779456gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_3,plain,
( hoare_165779456gleton
<=> ? [X1,X2] :
( X1 != X2
& is_state(X2)
& is_state(X1) ) ),
inference(fof_simplification,[status(thm)],[fact_0_state__not__singleton__def]) ).
fof(c_0_4,negated_conjecture,
~ ! [X2] :
( is_state(X2)
=> ~ ! [X1] :
( is_state(X1)
=> X1 = X2 ) ),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_5,plain,
! [X5,X6] :
( ( hoare_165779456gleton
| X5 = X6
| ~ is_state(X6)
| ~ is_state(X5) )
& ( ~ hoare_165779456gleton
| esk1_0 != esk2_0 )
& ( ~ hoare_165779456gleton
| is_state(esk2_0) )
& ( ~ hoare_165779456gleton
| is_state(esk1_0) ) ),
inference(distribute,[status(thm)],[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_3])])])])])]) ).
fof(c_0_6,negated_conjecture,
! [X8] :
( ( X8 = esk3_0
| ~ is_state(X8) )
& is_state(esk3_0) ),
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])])])])]) ).
cnf(c_0_7,plain,
( ~ hoare_165779456gleton
| is_state(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,hypothesis,
hoare_165779456gleton,
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_9,plain,
( ~ hoare_165779456gleton
| esk1_0 != esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( ~ is_state(X1)
| X1 = esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
is_state(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_12,plain,
( ~ hoare_165779456gleton
| is_state(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,plain,
esk2_0 != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8])]) ).
cnf(c_0_14,negated_conjecture,
esk2_0 = esk3_0,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
is_state(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_8])]) ).
cnf(c_0_16,plain,
esk1_0 != esk3_0,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW469+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n014.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 09:55:34 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 0.26/0.53 % Version: 3.5.1
% 0.26/0.53 % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.26/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.53 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.26/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.53 % Starting sh5l with 300s (1) cores
% 0.26/0.53 % SAT001_MinMin_p005000_rr_RG with pid 3782478 completed with status 0
% 0.26/0.53 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.26/0.53 % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.26/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.53 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.26/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.53 % No SInE strategy applied
% 0.26/0.53 % Search class: FGHSF-FFSS11-SFFFFFNN
% 0.26/0.53 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.53 % Starting SubtermCWHack with 151s (1) cores
% 0.26/0.53 % Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.26/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.26/0.53 % Starting new_bool_3 with 151s (1) cores
% 0.26/0.53 % Starting new_bool_1 with 146s (1) cores
% 0.26/0.53 % new_bool_1 with pid 3782486 completed with status 0
% 0.26/0.53 % Result found by new_bool_1
% 0.26/0.53 % Preprocessing class: FSSSSLSSSSSNFFN.
% 0.26/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.53 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.26/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.26/0.53 % No SInE strategy applied
% 0.26/0.53 % Search class: FGHSF-FFSS11-SFFFFFNN
% 0.26/0.53 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.26/0.53 % Starting SubtermCWHack with 151s (1) cores
% 0.26/0.53 % Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.26/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.26/0.53 % Starting new_bool_3 with 151s (1) cores
% 0.26/0.53 % Starting new_bool_1 with 146s (1) cores
% 0.26/0.53 % Preprocessing time : 0.001 s
% 0.26/0.53 % Presaturation interreduction done
% 0.26/0.53
% 0.26/0.53 % Proof found!
% 0.26/0.53 % SZS status Theorem
% 0.26/0.53 % SZS output start CNFRefutation
% See solution above
% 0.26/0.53 % Parsed axioms : 7
% 0.26/0.53 % Removed by relevancy pruning/SinE : 0
% 0.26/0.53 % Initial clauses : 11
% 0.26/0.53 % Removed in clause preprocessing : 0
% 0.26/0.53 % Initial clauses in saturation : 11
% 0.26/0.53 % Processed clauses : 23
% 0.26/0.53 % ...of these trivial : 2
% 0.26/0.53 % ...subsumed : 0
% 0.26/0.53 % ...remaining for further processing : 20
% 0.26/0.53 % Other redundant clauses eliminated : 0
% 0.26/0.53 % Clauses deleted for lack of memory : 0
% 0.26/0.53 % Backward-subsumed : 0
% 0.26/0.53 % Backward-rewritten : 2
% 0.26/0.53 % Generated clauses : 3
% 0.26/0.53 % ...of the previous two non-redundant : 4
% 0.26/0.53 % ...aggressively subsumed : 0
% 0.26/0.53 % Contextual simplify-reflections : 0
% 0.26/0.53 % Paramodulations : 3
% 0.26/0.53 % Factorizations : 0
% 0.26/0.53 % NegExts : 0
% 0.26/0.53 % Equation resolutions : 0
% 0.26/0.53 % Disequality decompositions : 0
% 0.26/0.53 % Total rewrite steps : 8
% 0.26/0.53 % ...of those cached : 4
% 0.26/0.53 % Propositional unsat checks : 0
% 0.26/0.53 % Propositional check models : 0
% 0.26/0.53 % Propositional check unsatisfiable : 0
% 0.26/0.53 % Propositional clauses : 0
% 0.26/0.53 % Propositional clauses after purity: 0
% 0.26/0.53 % Propositional unsat core size : 0
% 0.26/0.53 % Propositional preprocessing time : 0.000
% 0.26/0.53 % Propositional encoding time : 0.000
% 0.26/0.53 % Propositional solver time : 0.000
% 0.26/0.53 % Success case prop preproc time : 0.000
% 0.26/0.53 % Success case prop encoding time : 0.000
% 0.26/0.53 % Success case prop solver time : 0.000
% 0.26/0.53 % Current number of processed clauses : 9
% 0.26/0.53 % Positive orientable unit clauses : 6
% 0.26/0.53 % Positive unorientable unit clauses: 0
% 0.26/0.53 % Negative unit clauses : 2
% 0.26/0.53 % Non-unit-clauses : 1
% 0.26/0.53 % Current number of unprocessed clauses: 1
% 0.26/0.53 % ...number of literals in the above : 1
% 0.26/0.53 % Current number of archived formulas : 0
% 0.26/0.53 % Current number of archived clauses : 11
% 0.26/0.53 % Clause-clause subsumption calls (NU) : 0
% 0.26/0.53 % Rec. Clause-clause subsumption calls : 0
% 0.26/0.53 % Non-unit clause-clause subsumptions : 0
% 0.26/0.53 % Unit Clause-clause subsumption calls : 0
% 0.26/0.53 % Rewrite failures with RHS unbound : 0
% 0.26/0.53 % BW rewrite match attempts : 1
% 0.26/0.53 % BW rewrite match successes : 1
% 0.26/0.53 % Condensation attempts : 0
% 0.26/0.53 % Condensation successes : 0
% 0.26/0.53 % Termbank termtop insertions : 407
% 0.26/0.53 % Search garbage collected termcells : 111
% 0.26/0.53
% 0.26/0.53 % -------------------------------------------------
% 0.26/0.54 % User time : 0.004 s
% 0.26/0.54 % System time : 0.001 s
% 0.26/0.54 % Total time : 0.005 s
% 0.26/0.54 % Maximum resident set size: 3628 pages
% 0.26/0.54
% 0.26/0.54 % -------------------------------------------------
% 0.26/0.54 % User time : 0.013 s
% 0.26/0.54 % System time : 0.013 s
% 0.26/0.54 % Total time : 0.026 s
% 0.26/0.54 % Maximum resident set size: 4608 pages
% 0.26/0.54 % E exiting
%------------------------------------------------------------------------------