%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO274^5 : TPTP v9.3.1. Released v4.0.0.
% 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 08:42:41 AM UTC 2026
% Result : Theorem 0.24s 0.28s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 19 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 233 ( 20 ~; 29 |; 8 &; 156 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 54 ( 0 ^; 54 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
c: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_sort3,type,
a: $tType ).
thf(decl_23,type,
cG: c > b ).
thf(decl_24,type,
cF: b > a ).
thf(decl_25,type,
epred1_2: b > b > a > $o ).
thf(decl_26,type,
epred2_2: c > c > b > $o ).
thf(decl_27,type,
esk1_0: c ).
thf(decl_28,type,
esk2_0: c ).
thf(decl_29,type,
epred3_0: c > $o ).
thf(cTHM48_EXPD,conjecture,
( ( ! [X1: b,X2: b] :
( ! [X3: a > $o] :
( ( X3 @ ( cF @ X1 ) )
=> ( X3 @ ( cF @ X2 ) ) )
=> ! [X4: b > $o] :
( ( X4 @ X1 )
=> ( X4 @ X2 ) ) )
& ! [X5: c,X6: c] :
( ! [X7: b > $o] :
( ( X7 @ ( cG @ X5 ) )
=> ( X7 @ ( cG @ X6 ) ) )
=> ! [X8: c > $o] :
( ( X8 @ X5 )
=> ( X8 @ X6 ) ) ) )
=> ! [X9: c,X10: c] :
( ! [X3: a > $o] :
( ( X3 @ ( cF @ ( cG @ X9 ) ) )
=> ( X3 @ ( cF @ ( cG @ X10 ) ) ) )
=> ! [X11: c > $o] :
( ( X11 @ X9 )
=> ( X11 @ X10 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AbejSLGkwJ/E---3.1_1488421.p',cTHM48_EXPD) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: b,X2: b] :
( ! [X3: a > $o] :
( ( X3 @ ( cF @ X1 ) )
=> ( X3 @ ( cF @ X2 ) ) )
=> ! [X4: b > $o] :
( ( X4 @ X1 )
=> ( X4 @ X2 ) ) )
& ! [X5: c,X6: c] :
( ! [X7: b > $o] :
( ( X7 @ ( cG @ X5 ) )
=> ( X7 @ ( cG @ X6 ) ) )
=> ! [X8: c > $o] :
( ( X8 @ X5 )
=> ( X8 @ X6 ) ) ) )
=> ! [X9: c,X10: c] :
( ! [X3: a > $o] :
( ( X3 @ ( cF @ ( cG @ X9 ) ) )
=> ( X3 @ ( cF @ ( cG @ X10 ) ) ) )
=> ! [X11: c > $o] :
( ( X11 @ X9 )
=> ( X11 @ X10 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM48_EXPD]) ).
thf(c_0_2,negated_conjecture,
! [X24: b,X25: b,X27: b > $o,X28: c,X29: c,X31: c > $o,X34: a > $o] :
( ( ( epred1_2 @ X24 @ X25 @ ( cF @ X24 ) )
| ~ ( X27 @ X24 )
| ( X27 @ X25 ) )
& ( ~ ( epred1_2 @ X24 @ X25 @ ( cF @ X25 ) )
| ~ ( X27 @ X24 )
| ( X27 @ X25 ) )
& ( ( epred2_2 @ X28 @ X29 @ ( cG @ X28 ) )
| ~ ( X31 @ X28 )
| ( X31 @ X29 ) )
& ( ~ ( epred2_2 @ X28 @ X29 @ ( cG @ X29 ) )
| ~ ( X31 @ X28 )
| ( X31 @ X29 ) )
& ( ~ ( X34 @ ( cF @ ( cG @ esk1_0 ) ) )
| ( X34 @ ( cF @ ( cG @ esk2_0 ) ) ) )
& ( epred3_0 @ esk1_0 )
& ~ ( epred3_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_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X8: c > $o,X6: c,X5: c] :
( ( epred2_2 @ X5 @ X6 @ ( cG @ X5 ) )
| ( X8 @ X6 )
| ~ ( X8 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
epred3_0 @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X4: b > $o,X2: b,X1: b] :
( ( epred1_2 @ X1 @ X2 @ ( cF @ X1 ) )
| ( X4 @ X2 )
| ~ ( X4 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X5: c] :
( ( epred2_2 @ esk1_0 @ X5 @ ( cG @ esk1_0 ) )
| ( epred3_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X8: c > $o,X6: c,X5: c] :
( ( X8 @ X6 )
| ~ ( epred2_2 @ X5 @ X6 @ ( cG @ X6 ) )
| ~ ( X8 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
! [X1: b,X5: c] :
( ( epred1_2 @ ( cG @ esk1_0 ) @ X1 @ ( cF @ ( cG @ esk1_0 ) ) )
| ( epred2_2 @ esk1_0 @ X5 @ X1 )
| ( epred3_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_9,negated_conjecture,
! [X5: c,X8: c > $o] :
( ( epred1_2 @ ( cG @ esk1_0 ) @ ( cG @ X5 ) @ ( cF @ ( cG @ esk1_0 ) ) )
| ( epred3_0 @ X5 )
| ( X8 @ X5 )
| ~ ( X8 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_10,negated_conjecture,
! [X3: a > $o] :
( ( X3 @ ( cF @ ( cG @ esk2_0 ) ) )
| ~ ( X3 @ ( cF @ ( cG @ esk1_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,negated_conjecture,
! [X5: c] :
( ( epred1_2 @ ( cG @ esk1_0 ) @ ( cG @ X5 ) @ ( cF @ ( cG @ esk1_0 ) ) )
| ( epred3_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_4]) ).
thf(c_0_12,negated_conjecture,
! [X4: b > $o,X2: b,X1: b] :
( ( X4 @ X2 )
| ~ ( epred1_2 @ X1 @ X2 @ ( cF @ X2 ) )
| ~ ( X4 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_13,negated_conjecture,
! [X5: c] :
( ( epred1_2 @ ( cG @ esk1_0 ) @ ( cG @ X5 ) @ ( cF @ ( cG @ esk2_0 ) ) )
| ( epred3_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_14,negated_conjecture,
~ ( epred3_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_15,negated_conjecture,
! [X4: b > $o] :
( ( X4 @ ( cG @ esk2_0 ) )
| ~ ( X4 @ ( cG @ esk1_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
thf(c_0_16,negated_conjecture,
! [X5: c] :
( ( epred2_2 @ esk1_0 @ X5 @ ( cG @ esk2_0 ) )
| ( epred3_0 @ X5 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_6]) ).
thf(c_0_17,negated_conjecture,
! [X8: c > $o] :
( ( X8 @ esk2_0 )
| ~ ( X8 @ esk1_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_16]),c_0_14]) ).
thf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_4]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO274^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n001.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:48:20 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 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.AbejSLGkwJ/E---3.1_1488421.p
% 0.24/0.28 % Version: 3.5.1-ho
% 0.24/0.28 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.24/0.28 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.28 % Starting post_as_ho12 with 300s (1) cores
% 0.24/0.28 % Starting new_bool_9 with 300s (1) cores
% 0.24/0.28 % Starting post_as_ho1 with 300s (1) cores
% 0.24/0.28 % Starting post_as_ho4 with 300s (1) cores
% 0.24/0.28 % Starting post_as_ho2 with 300s (1) cores
% 0.24/0.28 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.24/0.28 % Starting full_lambda_10 with 300s (1) cores
% 0.24/0.28 % Starting new_ho_8 with 300s (1) cores
% 0.24/0.28 % post_as_ho12 with pid 1488434 completed with status 0
% 0.24/0.28 % Result found by post_as_ho12
% 0.24/0.28 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.24/0.28 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.28 % Starting post_as_ho12 with 300s (1) cores
% 0.24/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.28 % No SInE strategy applied
% 0.24/0.28 % Search class: HGUNF-FFSF11-SSSFFMBN
% 0.24/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.28 % SubtermCWHack with pid 1488443 completed with status 0
% 0.24/0.28 % Result found by SubtermCWHack
% 0.24/0.28 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.24/0.28 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.28 % Starting post_as_ho12 with 300s (1) cores
% 0.24/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.28 % No SInE strategy applied
% 0.24/0.28 % Search class: HGUNF-FFSF11-SSSFFMBN
% 0.24/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.28 % Preprocessing time : 0.001 s
% 0.24/0.28
% 0.24/0.28 % Proof found!
% 0.24/0.28 % SZS status Theorem
% 0.24/0.28 % SZS output start CNFRefutation
% See solution above
% 0.24/0.28 % Parsed axioms : 6
% 0.24/0.28 % Removed by relevancy pruning/SinE : 0
% 0.24/0.28 % Initial clauses : 12
% 0.24/0.28 % Removed in clause preprocessing : 5
% 0.24/0.28 % Initial clauses in saturation : 7
% 0.24/0.28 % Processed clauses : 18
% 0.24/0.28 % ...of these trivial : 0
% 0.24/0.28 % ...subsumed : 0
% 0.24/0.28 % ...remaining for further processing : 18
% 0.24/0.28 % Other redundant clauses eliminated : 0
% 0.24/0.28 % Clauses deleted for lack of memory : 0
% 0.24/0.28 % Backward-subsumed : 2
% 0.24/0.28 % Backward-rewritten : 0
% 0.24/0.28 % Generated clauses : 33
% 0.24/0.28 % ...of the previous two non-redundant : 27
% 0.24/0.28 % ...aggressively subsumed : 0
% 0.24/0.28 % Contextual simplify-reflections : 0
% 0.24/0.28 % Paramodulations : 31
% 0.24/0.28 % Factorizations : 2
% 0.24/0.28 % NegExts : 0
% 0.24/0.28 % Equation resolutions : 0
% 0.24/0.28 % Disequality decompositions : 0
% 0.24/0.28 % Total rewrite steps : 2
% 0.24/0.28 % ...of those cached : 1
% 0.24/0.28 % Propositional unsat checks : 0
% 0.24/0.28 % Propositional check models : 0
% 0.24/0.28 % Propositional check unsatisfiable : 0
% 0.24/0.28 % Propositional clauses : 0
% 0.24/0.28 % Propositional clauses after purity: 0
% 0.24/0.28 % Propositional unsat core size : 0
% 0.24/0.28 % Propositional preprocessing time : 0.000
% 0.24/0.28 % Propositional encoding time : 0.000
% 0.24/0.28 % Propositional solver time : 0.000
% 0.24/0.28 % Success case prop preproc time : 0.000
% 0.24/0.28 % Success case prop encoding time : 0.000
% 0.24/0.28 % Success case prop solver time : 0.000
% 0.24/0.28 % Current number of processed clauses : 16
% 0.24/0.28 % Positive orientable unit clauses : 1
% 0.24/0.28 % Positive unorientable unit clauses: 0
% 0.24/0.28 % Negative unit clauses : 1
% 0.24/0.28 % Non-unit-clauses : 14
% 0.24/0.28 % Current number of unprocessed clauses: 16
% 0.24/0.28 % ...number of literals in the above : 65
% 0.24/0.28 % Current number of archived formulas : 0
% 0.24/0.28 % Current number of archived clauses : 2
% 0.24/0.28 % Clause-clause subsumption calls (NU) : 35
% 0.24/0.28 % Rec. Clause-clause subsumption calls : 21
% 0.24/0.28 % Non-unit clause-clause subsumptions : 2
% 0.24/0.28 % Unit Clause-clause subsumption calls : 0
% 0.24/0.28 % Rewrite failures with RHS unbound : 0
% 0.24/0.28 % BW rewrite match attempts : 0
% 0.24/0.28 % BW rewrite match successes : 0
% 0.24/0.28 % Condensation attempts : 0
% 0.24/0.28 % Condensation successes : 0
% 0.24/0.28 % Termbank termtop insertions : 1615
% 0.24/0.28 % Search garbage collected termcells : 358
% 0.24/0.28
% 0.24/0.28 % -------------------------------------------------
% 0.24/0.28 % User time : 0.004 s
% 0.24/0.28 % System time : 0.003 s
% 0.24/0.28 % Total time : 0.007 s
% 0.24/0.28 % Maximum resident set size: 3644 pages
% 0.24/0.28
% 0.24/0.28 % -------------------------------------------------
% 0.24/0.28 % User time : 0.006 s
% 0.24/0.28 % System time : 0.009 s
% 0.24/0.28 % Total time : 0.015 s
% 0.24/0.28 % Maximum resident set size: 4864 pages
% 0.24/0.28 % E exiting
%------------------------------------------------------------------------------