%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU615^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:26:56 AM UTC 2026
% Result : Theorem 0.23s 0.29s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 0 equ; 0 cnn)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 237 ( 41 ~; 29 |; 11 &; 132 @)
% ( 1 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
in: $i > $i > $o ).
thf(decl_24,type,
symdiff: $i > $i > $i ).
thf(decl_25,type,
symdiffE: $o ).
thf(decl_26,type,
esk1_0: $i ).
thf(decl_27,type,
esk2_0: $i ).
thf(decl_28,type,
esk3_0: $i ).
thf(symdiffIneg2,conjecture,
( symdiffE
=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X2 )
=> ~ ( in @ X3 @ ( symdiff @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PjdwvMXK60/E---3.1_3199006.p',symdiffIneg2) ).
thf(symdiffE,axiom,
( symdiffE
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3 @ ( symdiff @ X1 @ X2 ) )
=> ! [X4: $o] :
( ( ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X2 )
=> X4 ) )
=> ( ( ~ ( in @ X3 @ X1 )
=> ( ( in @ X3 @ X2 )
=> X4 ) )
=> X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PjdwvMXK60/E---3.1_3199006.p',symdiffE) ).
thf(c_0_2,negated_conjecture,
~ ( symdiffE
=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X2 )
=> ~ ( in @ X3 @ ( symdiff @ X1 @ X2 ) ) ) ) ),
inference(assume_negation,[status(cth)],[symdiffIneg2]) ).
thf(c_0_3,negated_conjecture,
~ ( ! [X12: $i,X13: $i,X14: $i] :
( ( in @ X14 @ ( symdiff @ X12 @ X13 ) )
=> ! [X15: $o] :
( ( ( in @ X14 @ X12 )
=> ( ~ ( in @ X14 @ X13 )
=> X15 ) )
=> ( ( ~ ( in @ X14 @ X12 )
=> ( ( in @ X14 @ X13 )
=> X15 ) )
=> X15 ) ) )
=> ! [X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X3 @ X1 )
=> ( ~ ( in @ X3 @ X2 )
=> ~ ( in @ X3 @ ( symdiff @ X1 @ X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[c_0_2,symdiffE])]) ).
thf(c_0_4,negated_conjecture,
! [X16: $i,X17: $i,X18: $i,X19: $o] :
( ( ~ ( in @ X18 @ X16 )
| X19
| ( in @ X18 @ X16 )
| ~ ( in @ X18 @ ( symdiff @ X16 @ X17 ) ) )
& ( ( in @ X18 @ X17 )
| X19
| ( in @ X18 @ X16 )
| ~ ( in @ X18 @ ( symdiff @ X16 @ X17 ) ) )
& ( ~ X19
| X19
| ( in @ X18 @ X16 )
| ~ ( in @ X18 @ ( symdiff @ X16 @ X17 ) ) )
& ( ~ ( in @ X18 @ X16 )
| X19
| ~ ( in @ X18 @ X17 )
| ~ ( in @ X18 @ ( symdiff @ X16 @ X17 ) ) )
& ( ( in @ X18 @ X17 )
| X19
| ~ ( in @ X18 @ X17 )
| ~ ( in @ X18 @ ( symdiff @ X16 @ X17 ) ) )
& ( ~ X19
| X19
| ~ ( in @ X18 @ X17 )
| ~ ( in @ X18 @ ( symdiff @ X16 @ X17 ) ) )
& ( ~ ( in @ X18 @ X16 )
| X19
| ~ X19
| ~ ( in @ X18 @ ( symdiff @ X16 @ X17 ) ) )
& ( ( in @ X18 @ X17 )
| X19
| ~ X19
| ~ ( in @ X18 @ ( symdiff @ X16 @ X17 ) ) )
& ( ~ X19
| X19
| ~ X19
| ~ ( in @ X18 @ ( symdiff @ X16 @ X17 ) ) )
& ~ ( in @ esk3_0 @ esk1_0 )
& ~ ( in @ esk3_0 @ esk2_0 )
& ( in @ esk3_0 @ ( symdiff @ esk1_0 @ esk2_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])])])])])]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( in @ X1 @ X2 )
| ( in @ X1 @ X3 )
| ~ ( in @ X1 @ ( symdiff @ X3 @ X2 ) ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_4])])]) ).
thf(c_0_6,negated_conjecture,
in @ esk3_0 @ ( symdiff @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
~ ( in @ esk3_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
~ ( in @ esk3_0 @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_9,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU615^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 13:59:09 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.25 Running higher-order theorem proving
% 0.07/0.27 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.PjdwvMXK60/E---3.1_3199006.p
% 0.23/0.29 % Version: 3.5.1-ho
% 0.23/0.29 % Preprocessing class: HSSSSMSSSLSNFFN.
% 0.23/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.29 % Starting sh5l with 300s (1) cores
% 0.23/0.29 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.23/0.29 % Starting lpo1_def_fix with 300s (1) cores
% 0.23/0.29 % sh5l with pid 3199026 completed with status 0
% 0.23/0.29 % Result found by sh5l
% 0.23/0.29 % Preprocessing class: HSSSSMSSSLSNFFN.
% 0.23/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.29 % Starting sh5l with 300s (1) cores
% 0.23/0.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.23/0.29 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.29 % Search class: HGHNF-FFSF22-SFFFMFNN
% 0.23/0.29 % partial match(1): HGUNF-FFSF22-SFFFMFNN
% 0.23/0.29 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.29 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.29 % SubtermCWHack with pid 3199029 completed with status 0
% 0.23/0.29 % Result found by SubtermCWHack
% 0.23/0.29 % Preprocessing class: HSSSSMSSSLSNFFN.
% 0.23/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.29 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.29 % Starting sh5l with 300s (1) cores
% 0.23/0.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.23/0.29 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.23/0.29 % Search class: HGHNF-FFSF22-SFFFMFNN
% 0.23/0.29 % partial match(1): HGUNF-FFSF22-SFFFMFNN
% 0.23/0.29 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.29 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.29 % Preprocessing time : 0.002 s
% 0.23/0.29
% 0.23/0.29 % Proof found!
% 0.23/0.29 % SZS status Theorem
% 0.23/0.29 % SZS output start CNFRefutation
% See solution above
% 0.23/0.29 % Parsed axioms : 5
% 0.23/0.29 % Removed by relevancy pruning/SinE : 3
% 0.23/0.29 % Initial clauses : 12
% 0.23/0.29 % Removed in clause preprocessing : 7
% 0.23/0.29 % Initial clauses in saturation : 5
% 0.23/0.29 % Processed clauses : 4
% 0.23/0.29 % ...of these trivial : 0
% 0.23/0.29 % ...subsumed : 0
% 0.23/0.29 % ...remaining for further processing : 4
% 0.23/0.29 % Other redundant clauses eliminated : 0
% 0.23/0.29 % Clauses deleted for lack of memory : 0
% 0.23/0.29 % Backward-subsumed : 0
% 0.23/0.29 % Backward-rewritten : 0
% 0.23/0.29 % Generated clauses : 1
% 0.23/0.29 % ...of the previous two non-redundant : 0
% 0.23/0.29 % ...aggressively subsumed : 0
% 0.23/0.29 % Contextual simplify-reflections : 0
% 0.23/0.29 % Paramodulations : 1
% 0.23/0.29 % Factorizations : 0
% 0.23/0.29 % NegExts : 0
% 0.23/0.29 % Equation resolutions : 0
% 0.23/0.29 % Disequality decompositions : 0
% 0.23/0.29 % Total rewrite steps : 0
% 0.23/0.29 % ...of those cached : 0
% 0.23/0.29 % Propositional unsat checks : 0
% 0.23/0.29 % Propositional check models : 0
% 0.23/0.29 % Propositional check unsatisfiable : 0
% 0.23/0.29 % Propositional clauses : 0
% 0.23/0.29 % Propositional clauses after purity: 0
% 0.23/0.29 % Propositional unsat core size : 0
% 0.23/0.29 % Propositional preprocessing time : 0.000
% 0.23/0.29 % Propositional encoding time : 0.000
% 0.23/0.30 % Propositional solver time : 0.000
% 0.23/0.30 % Success case prop preproc time : 0.000
% 0.23/0.30 % Success case prop encoding time : 0.000
% 0.23/0.30 % Success case prop solver time : 0.000
% 0.23/0.30 % Current number of processed clauses : 4
% 0.23/0.30 % Positive orientable unit clauses : 1
% 0.23/0.30 % Positive unorientable unit clauses: 0
% 0.23/0.30 % Negative unit clauses : 2
% 0.23/0.30 % Non-unit-clauses : 1
% 0.23/0.30 % Current number of unprocessed clauses: 1
% 0.23/0.30 % ...number of literals in the above : 3
% 0.23/0.30 % Current number of archived formulas : 0
% 0.23/0.30 % Current number of archived clauses : 0
% 0.23/0.30 % Clause-clause subsumption calls (NU) : 0
% 0.23/0.30 % Rec. Clause-clause subsumption calls : 0
% 0.23/0.30 % Non-unit clause-clause subsumptions : 0
% 0.23/0.30 % Unit Clause-clause subsumption calls : 0
% 0.23/0.30 % Rewrite failures with RHS unbound : 0
% 0.23/0.30 % BW rewrite match attempts : 0
% 0.23/0.30 % BW rewrite match successes : 0
% 0.23/0.30 % Condensation attempts : 0
% 0.23/0.30 % Condensation successes : 0
% 0.23/0.30 % Termbank termtop insertions : 805
% 0.23/0.30 % Search garbage collected termcells : 267
% 0.23/0.30
% 0.23/0.30 % -------------------------------------------------
% 0.23/0.30 % User time : 0.004 s
% 0.23/0.30 % System time : 0.004 s
% 0.23/0.30 % Total time : 0.008 s
% 0.23/0.30 % Maximum resident set size: 3632 pages
% 0.23/0.30
% 0.23/0.30 % -------------------------------------------------
% 0.23/0.30 % User time : 0.006 s
% 0.23/0.30 % System time : 0.010 s
% 0.23/0.30 % Total time : 0.016 s
% 0.23/0.30 % Maximum resident set size: 4864 pages
% 0.23/0.30 % E exiting
%------------------------------------------------------------------------------