%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO364^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:44:16 AM UTC 2026
% Result : Theorem 0.27s 0.26s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 5 equ; 0 cnn)
% Maximal formula atoms : 2 ( 0 avg)
% Number of connectives : 94 ( 9 ~; 4 |; 5 &; 68 @)
% ( 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/sandbox/tmp/tmp.qSNSB8duh3/E---3.1_3786347.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,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_9,plain,
( ( g @ j @ esk2_0 )
!= ( f @ h @ esk2_0 ) ),
inference(neg_ext,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
h = j,
inference(pos_ext,[status(thm)],[c_0_7]) ).
thf(c_0_11,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_8]) ).
thf(c_0_12,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO364^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.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 16:52:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.qSNSB8duh3/E---3.1_3786347.p
% 0.27/0.26 % Version: 3.5.1-ho
% 0.27/0.26 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.26 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.26 % Starting sh2lt with 1200s (4) cores
% 0.27/0.26 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.26 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.27/0.26 % Starting ehoh_best3_rw with 300s (1) cores
% 0.27/0.26 % ehoh_best3_rw with pid 3786364 completed with status 0
% 0.27/0.26 % Result found by ehoh_best3_rw
% 0.27/0.26 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.26 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.26 % Starting sh2lt with 1200s (4) cores
% 0.27/0.26 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.26 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.27/0.26 % Starting ehoh_best3_rw with 300s (1) cores
% 0.27/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.27/0.26 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.27/0.26 % Search class: HHUNF-FFSF21-SHHFFMBN
% 0.27/0.26 % partial match(1): HHUNF-FFSF11-SHHFFMBN
% 0.27/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.26 % SubtermCWHack with pid 3786366 completed with status 10
% 0.27/0.26 % Starting ehoh_best3_rw with 31s (1) cores
% 0.27/0.26 % ehoh_best3_rw with pid 3786374 completed with status 0
% 0.27/0.26 % Result found by ehoh_best3_rw
% 0.27/0.26 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.27/0.26 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.26 % Starting sh2lt with 1200s (4) cores
% 0.27/0.26 % Starting new_ho_10_unif with 300s (1) cores
% 0.27/0.26 % Starting full_lambda_6 with 300s (1) cores
% 0.27/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.27/0.26 % Starting ehoh_best3_rw with 300s (1) cores
% 0.27/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.27/0.26 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.27/0.26 % Search class: HHUNF-FFSF21-SHHFFMBN
% 0.27/0.26 % partial match(1): HHUNF-FFSF11-SHHFFMBN
% 0.27/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.26 % SubtermCWHack with pid 3786366 completed with status 10
% 0.27/0.26 % Starting ehoh_best3_rw with 31s (1) cores
% 0.27/0.26 % Preprocessing time : 0.001 s
% 0.27/0.26 % Presaturation interreduction done
% 0.27/0.26
% 0.27/0.26 % Proof found!
% 0.27/0.26 % SZS status Theorem
% 0.27/0.26 % SZS output start CNFRefutation
% See solution above
% 0.27/0.26 % Parsed axioms : 6
% 0.27/0.26 % Removed by relevancy pruning/SinE : 5
% 0.27/0.26 % Initial clauses : 4
% 0.27/0.26 % Removed in clause preprocessing : 0
% 0.27/0.26 % Initial clauses in saturation : 4
% 0.27/0.26 % Processed clauses : 17
% 0.27/0.26 % ...of these trivial : 1
% 0.27/0.26 % ...subsumed : 0
% 0.27/0.26 % ...remaining for further processing : 15
% 0.27/0.26 % Other redundant clauses eliminated : 0
% 0.27/0.26 % Clauses deleted for lack of memory : 0
% 0.27/0.26 % Backward-subsumed : 0
% 0.27/0.26 % Backward-rewritten : 4
% 0.27/0.26 % Generated clauses : 16
% 0.27/0.26 % ...of the previous two non-redundant : 13
% 0.27/0.26 % ...aggressively subsumed : 0
% 0.27/0.26 % Contextual simplify-reflections : 0
% 0.27/0.26 % Paramodulations : 1
% 0.27/0.26 % Factorizations : 0
% 0.27/0.26 % NegExts : 2
% 0.27/0.26 % Equation resolutions : 0
% 0.27/0.26 % Disequality decompositions : 0
% 0.27/0.26 % Total rewrite steps : 7
% 0.27/0.26 % ...of those cached : 2
% 0.27/0.26 % Propositional unsat checks : 0
% 0.27/0.26 % Propositional check models : 0
% 0.27/0.26 % Propositional check unsatisfiable : 0
% 0.27/0.26 % Propositional clauses : 0
% 0.27/0.26 % Propositional clauses after purity: 0
% 0.27/0.26 % Propositional unsat core size : 0
% 0.27/0.26 % Propositional preprocessing time : 0.000
% 0.27/0.26 % Propositional encoding time : 0.000
% 0.27/0.26 % Propositional solver time : 0.000
% 0.27/0.26 % Success case prop preproc time : 0.000
% 0.27/0.26 % Success case prop encoding time : 0.000
% 0.27/0.26 % Success case prop solver time : 0.000
% 0.27/0.26 % Current number of processed clauses : 7
% 0.27/0.26 % Positive orientable unit clauses : 5
% 0.27/0.26 % Positive unorientable unit clauses: 0
% 0.27/0.26 % Negative unit clauses : 2
% 0.27/0.26 % Non-unit-clauses : 0
% 0.27/0.26 % Current number of unprocessed clauses: 4
% 0.27/0.26 % ...number of literals in the above : 4
% 0.27/0.26 % Current number of archived formulas : 0
% 0.27/0.26 % Current number of archived clauses : 8
% 0.27/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.27/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.27/0.26 % Non-unit clause-clause subsumptions : 0
% 0.27/0.26 % Unit Clause-clause subsumption calls : 1
% 0.27/0.26 % Rewrite failures with RHS unbound : 0
% 0.27/0.26 % BW rewrite match attempts : 5
% 0.27/0.26 % BW rewrite match successes : 3
% 0.27/0.26 % Condensation attempts : 0
% 0.27/0.26 % Condensation successes : 0
% 0.27/0.26 % Termbank termtop insertions : 614
% 0.27/0.26 % Search garbage collected termcells : 152
% 0.27/0.26
% 0.27/0.26 % -------------------------------------------------
% 0.27/0.26 % User time : 0.001 s
% 0.27/0.26 % System time : 0.004 s
% 0.27/0.26 % Total time : 0.005 s
% 0.27/0.26 % Maximum resident set size: 3636 pages
% 0.27/0.26
% 0.27/0.26 % -------------------------------------------------
% 0.27/0.26 % User time : 0.003 s
% 0.27/0.26 % System time : 0.008 s
% 0.27/0.26 % Total time : 0.011 s
% 0.27/0.26 % Maximum resident set size: 4864 pages
% 0.27/0.26 % E exiting
%------------------------------------------------------------------------------