%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO364^5 : 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 : n020.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 08:42:50 AM UTC 2026
% Result : Theorem 0.30s 0.29s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 0 avg)
% Number of connectives : 99 ( 10 ~; 4 |; 5 &; 72 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 ^; 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
j: a > a ).
thf(decl_24,type,
g: ( a > a ) > a > a ).
thf(decl_25,type,
h: a > a ).
thf(decl_26,type,
f: ( a > a ) > a > a ).
thf(decl_27,type,
epred1_0: ( a > a ) > $o ).
thf(decl_28,type,
esk2_0: a ).
thf(cEDEC_pme,conjecture,
( ( ! [X1: a > a,X2: a,X3: a > $o] :
( ( X3 @ ( f @ X1 @ X2 ) )
=> ( X3 @ ( g @ X1 @ X2 ) ) )
& ! [X4: a,X3: a > $o] :
( ( X3 @ ( h @ X4 ) )
=> ( X3 @ ( j @ X4 ) ) ) )
=> ! [X5: ( a > a ) > $o] :
( ( X5 @ ( f @ h ) )
=> ( X5 @ ( g @ j ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.kKtNymugtZ/E---3.1_1297022.p',cEDEC_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: a > a,X2: a,X3: a > $o] :
( ( X3 @ ( f @ X1 @ X2 ) )
=> ( X3 @ ( g @ X1 @ X2 ) ) )
& ! [X4: a,X3: a > $o] :
( ( X3 @ ( h @ X4 ) )
=> ( X3 @ ( j @ X4 ) ) ) )
=> ! [X5: ( a > a ) > $o] :
( ( X5 @ ( f @ h ) )
=> ( X5 @ ( g @ j ) ) ) ),
inference(assume_negation,[status(cth)],[cEDEC_pme]) ).
thf(c_0_2,negated_conjecture,
! [X12: a > a,X13: a,X14: a > $o,X15: a,X16: a > $o] :
( ( ~ ( X14 @ ( f @ X12 @ X13 ) )
| ( X14 @ ( g @ X12 @ X13 ) ) )
& ( ~ ( X16 @ ( h @ X15 ) )
| ( X16 @ ( j @ X15 ) ) )
& ( epred1_0 @ ( f @ h ) )
& ~ ( epred1_0 @ ( g @ j ) ) ),
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,
~ ( epred1_0 @ ( g @ j ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
epred1_0 @ ( f @ h ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X3: a > $o,X2: a] :
( ( X3 @ ( j @ X2 ) )
| ~ ( X3 @ ( h @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,plain,
( ( g @ j )
!= ( f @ h ) ),
inference(ext_sup,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X2: a] :
( ( h @ X2 )
= ( j @ X2 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_5]) ).
thf(c_0_8,plain,
( ( g @ j @ esk2_0 )
!= ( f @ h @ esk2_0 ) ),
inference(neg_ext,[status(thm)],[c_0_6]) ).
thf(c_0_9,negated_conjecture,
h = j,
inference(pos_ext,[status(thm)],[c_0_7]) ).
thf(c_0_10,negated_conjecture,
! [X1: a > a,X3: a > $o,X2: a] :
( ( X3 @ ( g @ X1 @ X2 ) )
| ~ ( X3 @ ( f @ X1 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_11,plain,
( ( g @ j @ esk2_0 )
!= ( f @ j @ esk2_0 ) ),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,negated_conjecture,
! [X1: a > a,X2: a] :
( ( g @ X1 @ X2 )
= ( f @ X1 @ X2 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_10]) ).
thf(c_0_13,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO364^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n020.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 16:50:04 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 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.kKtNymugtZ/E---3.1_1297022.p
% 0.30/0.29 % Version: 3.5.1-ho
% 0.30/0.29 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.30/0.29 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.29 % Starting sh2lt with 1200s (4) cores
% 0.30/0.29 % Starting new_ho_10_unif with 300s (1) cores
% 0.30/0.29 % Starting full_lambda_6 with 300s (1) cores
% 0.30/0.29 % Starting post_as_ho1 with 300s (1) cores
% 0.30/0.29 % Starting ehoh_best3_rw with 300s (1) cores
% 0.30/0.29 % full_lambda_6 with pid 1297037 completed with status 0
% 0.30/0.29 % Result found by full_lambda_6
% 0.30/0.29 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.30/0.29 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.29 % Starting sh2lt with 1200s (4) cores
% 0.30/0.29 % Starting new_ho_10_unif with 300s (1) cores
% 0.30/0.29 % Starting full_lambda_6 with 300s (1) cores
% 0.30/0.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.30/0.29 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.30/0.29 % Search class: HHUNF-FFSF21-SHHFFMBN
% 0.30/0.29 % partial match(1): HHUNF-FFSF11-SHHFFMBN
% 0.30/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.30/0.29 % SubtermCWHack with pid 1297040 completed with status 10
% 0.30/0.29 % Starting full_lambda_6 with 31s (1) cores
% 0.30/0.29 % full_lambda_6 with pid 1297050 completed with status 10
% 0.30/0.29 % Starting sh5l with 34s (1) cores
% 0.30/0.29 % sh5l with pid 1297052 completed with status 0
% 0.30/0.29 % Result found by sh5l
% 0.30/0.29 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.30/0.29 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.29 % Starting sh2lt with 1200s (4) cores
% 0.30/0.29 % Starting new_ho_10_unif with 300s (1) cores
% 0.30/0.29 % Starting full_lambda_6 with 300s (1) cores
% 0.30/0.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.30/0.29 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.30/0.29 % Search class: HHUNF-FFSF21-SHHFFMBN
% 0.30/0.29 % partial match(1): HHUNF-FFSF11-SHHFFMBN
% 0.30/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.30/0.29 % SubtermCWHack with pid 1297040 completed with status 10
% 0.30/0.29 % Starting full_lambda_6 with 31s (1) cores
% 0.30/0.29 % full_lambda_6 with pid 1297050 completed with status 10
% 0.30/0.29 % Starting sh5l with 34s (1) cores
% 0.30/0.29 % Preprocessing time : 0.001 s
% 0.30/0.29 % Presaturation interreduction done
% 0.30/0.29
% 0.30/0.29 % Proof found!
% 0.30/0.29 % SZS status Theorem
% 0.30/0.29 % SZS output start CNFRefutation
% See solution above
% 0.30/0.29 % Parsed axioms : 6
% 0.30/0.29 % Removed by relevancy pruning/SinE : 5
% 0.30/0.29 % Initial clauses : 4
% 0.30/0.29 % Removed in clause preprocessing : 0
% 0.30/0.29 % Initial clauses in saturation : 4
% 0.30/0.29 % Processed clauses : 18
% 0.30/0.29 % ...of these trivial : 1
% 0.30/0.29 % ...subsumed : 0
% 0.30/0.29 % ...remaining for further processing : 17
% 0.30/0.29 % Other redundant clauses eliminated : 0
% 0.30/0.29 % Clauses deleted for lack of memory : 0
% 0.30/0.29 % Backward-subsumed : 0
% 0.30/0.29 % Backward-rewritten : 6
% 0.30/0.29 % Generated clauses : 12
% 0.30/0.29 % ...of the previous two non-redundant : 11
% 0.30/0.29 % ...aggressively subsumed : 0
% 0.30/0.29 % Contextual simplify-reflections : 0
% 0.30/0.29 % Paramodulations : 1
% 0.30/0.29 % Factorizations : 0
% 0.30/0.29 % NegExts : 2
% 0.30/0.29 % Equation resolutions : 0
% 0.30/0.29 % Disequality decompositions : 0
% 0.30/0.29 % Total rewrite steps : 7
% 0.30/0.29 % ...of those cached : 1
% 0.30/0.29 % Propositional unsat checks : 0
% 0.30/0.29 % Propositional check models : 0
% 0.30/0.29 % Propositional check unsatisfiable : 0
% 0.30/0.29 % Propositional clauses : 0
% 0.30/0.29 % Propositional clauses after purity: 0
% 0.30/0.29 % Propositional unsat core size : 0
% 0.30/0.29 % Propositional preprocessing time : 0.000
% 0.30/0.29 % Propositional encoding time : 0.000
% 0.30/0.29 % Propositional solver time : 0.000
% 0.30/0.29 % Success case prop preproc time : 0.000
% 0.30/0.29 % Success case prop encoding time : 0.000
% 0.30/0.29 % Success case prop solver time : 0.000
% 0.30/0.29 % Current number of processed clauses : 7
% 0.30/0.29 % Positive orientable unit clauses : 5
% 0.30/0.29 % Positive unorientable unit clauses: 0
% 0.30/0.29 % Negative unit clauses : 2
% 0.30/0.29 % Non-unit-clauses : 0
% 0.30/0.29 % Current number of unprocessed clauses: 1
% 0.30/0.29 % ...number of literals in the above : 1
% 0.30/0.29 % Current number of archived formulas : 0
% 0.30/0.29 % Current number of archived clauses : 10
% 0.30/0.29 % Clause-clause subsumption calls (NU) : 0
% 0.30/0.29 % Rec. Clause-clause subsumption calls : 0
% 0.30/0.29 % Non-unit clause-clause subsumptions : 0
% 0.30/0.29 % Unit Clause-clause subsumption calls : 4
% 0.30/0.29 % Rewrite failures with RHS unbound : 0
% 0.30/0.29 % BW rewrite match attempts : 7
% 0.30/0.29 % BW rewrite match successes : 5
% 0.30/0.29 % Condensation attempts : 18
% 0.30/0.29 % Condensation successes : 0
% 0.30/0.29 % Termbank termtop insertions : 604
% 0.30/0.29 % Search garbage collected termcells : 152
% 0.30/0.29
% 0.30/0.29 % -------------------------------------------------
% 0.30/0.29 % User time : 0.004 s
% 0.30/0.29 % System time : 0.002 s
% 0.30/0.29 % Total time : 0.006 s
% 0.30/0.29 % Maximum resident set size: 3840 pages
% 0.30/0.29
% 0.30/0.29 % -------------------------------------------------
% 0.30/0.29 % User time : 0.009 s
% 0.30/0.29 % System time : 0.004 s
% 0.30/0.29 % Total time : 0.013 s
% 0.30/0.29 % Maximum resident set size: 4864 pages
% 0.30/0.29 % E exiting
%------------------------------------------------------------------------------