%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO374^5 : 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 : 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 08:44:17 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 4 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 11 ~; 8 |; 3 &; 37 @)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
cN: $i > $i ).
thf(decl_24,type,
cM: $i > $i ).
thf(decl_25,type,
epred1_0: ( $i > $i ) > $o ).
thf(decl_27,type,
esk3_0: $i ).
thf(cEXT_A_LEIB2,conjecture,
( ! [X1: $i,X2: $i > $o] :
( ( X2 @ ( cM @ X1 ) )
<=> ( X2 @ ( cN @ X1 ) ) )
=> ! [X3: ( $i > $i ) > $o] :
( ( X3 @ cM )
<=> ( X3 @ cN ) ) ),
file('/export/starexec/sandbox/tmp/tmp.8r0Hw0RdBU/E---3.1_3412905.p',cEXT_A_LEIB2) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: $i,X2: $i > $o] :
( ( X2 @ ( cM @ X1 ) )
<=> ( X2 @ ( cN @ X1 ) ) )
=> ! [X3: ( $i > $i ) > $o] :
( ( X3 @ cM )
<=> ( X3 @ cN ) ) ),
inference(assume_negation,[status(cth)],[cEXT_A_LEIB2]) ).
thf(c_0_2,negated_conjecture,
! [X7: $i,X8: $i > $o] :
( ( ~ ( X8 @ ( cM @ X7 ) )
| ( X8 @ ( cN @ X7 ) ) )
& ( ~ ( X8 @ ( cN @ X7 ) )
| ( X8 @ ( cM @ X7 ) ) )
& ( ~ ( epred1_0 @ cM )
| ~ ( epred1_0 @ cN ) )
& ( ( epred1_0 @ cM )
| ( epred1_0 @ cN ) ) ),
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 @ cM )
| ( epred1_0 @ cN ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ~ ( epred1_0 @ cM )
| ~ ( epred1_0 @ cN ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,plain,
( ( epred1_0 @ cM )
| ( cN != cM ) ),
inference(ext_eqfact,[status(thm)],[c_0_3]) ).
thf(c_0_6,plain,
cN != cM,
inference(csr,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_4,c_0_5]),c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X2: $i > $o,X1: $i] :
( ( X2 @ ( cN @ X1 ) )
| ~ ( X2 @ ( cM @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,plain,
( ( cN @ esk3_0 )
!= ( cM @ esk3_0 ) ),
inference(neg_ext,[status(thm)],[c_0_6]) ).
thf(c_0_9,negated_conjecture,
! [X1: $i] :
( ( cN @ X1 )
= ( cM @ X1 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_7]) ).
thf(c_0_10,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO374^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n008.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 16:50:09 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.23 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.8r0Hw0RdBU/E---3.1_3412905.p
% 0.08/0.25 % Version: 3.5.1-ho
% 0.08/0.25 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.08/0.25 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting sh2lt with 1200s (4) cores
% 0.08/0.25 % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.25 % Starting full_lambda_6 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.25 % Starting ehoh_best3_rw with 300s (1) cores
% 0.08/0.25 % post_as_ho1 with pid 3412921 completed with status 0
% 0.08/0.25 % Result found by post_as_ho1
% 0.08/0.25 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.08/0.25 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting sh2lt with 1200s (4) cores
% 0.08/0.25 % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.25 % Starting full_lambda_6 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.25 % No SInE strategy applied
% 0.08/0.25 % Search class: HGHNF-FFSF11-SHHFFMBN
% 0.08/0.25 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.25 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.25 % SubtermCWHack with pid 3412930 completed with status 10
% 0.08/0.25 % Starting ehoh_best_nonlift with 181s (1) cores
% 0.08/0.25 % ehoh_best_nonlift with pid 3412934 completed with status 0
% 0.08/0.25 % Result found by ehoh_best_nonlift
% 0.08/0.25 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.08/0.25 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.25 % Starting sh2lt with 1200s (4) cores
% 0.08/0.25 % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.25 % Starting full_lambda_6 with 300s (1) cores
% 0.08/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.25 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.25 % No SInE strategy applied
% 0.08/0.25 % Search class: HGHNF-FFSF11-SHHFFMBN
% 0.08/0.25 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.25 % Starting SubtermCWHack with 31s (1) cores
% 0.08/0.25 % SubtermCWHack with pid 3412930 completed with status 10
% 0.08/0.25 % Starting ehoh_best_nonlift with 181s (1) cores
% 0.08/0.25 % Preprocessing time : 0.001 s
% 0.08/0.25 % Presaturation interreduction done
% 0.08/0.25
% 0.08/0.25 % Proof found!
% 0.08/0.25 % SZS status Theorem
% 0.08/0.25 % SZS output start CNFRefutation
% See solution above
% 0.08/0.25 % Parsed axioms : 3
% 0.08/0.25 % Removed by relevancy pruning/SinE : 0
% 0.08/0.25 % Initial clauses : 6
% 0.08/0.25 % Removed in clause preprocessing : 2
% 0.08/0.25 % Initial clauses in saturation : 4
% 0.08/0.25 % Processed clauses : 15
% 0.08/0.25 % ...of these trivial : 2
% 0.08/0.25 % ...subsumed : 1
% 0.08/0.25 % ...remaining for further processing : 12
% 0.08/0.25 % Other redundant clauses eliminated : 0
% 0.08/0.25 % Clauses deleted for lack of memory : 0
% 0.08/0.25 % Backward-subsumed : 1
% 0.08/0.25 % Backward-rewritten : 3
% 0.08/0.25 % Generated clauses : 13
% 0.08/0.25 % ...of the previous two non-redundant : 10
% 0.08/0.25 % ...aggressively subsumed : 0
% 0.08/0.25 % Contextual simplify-reflections : 1
% 0.08/0.25 % Paramodulations : 1
% 0.08/0.25 % Factorizations : 0
% 0.08/0.25 % NegExts : 2
% 0.08/0.25 % Equation resolutions : 0
% 0.08/0.25 % Disequality decompositions : 0
% 0.08/0.25 % Total rewrite steps : 3
% 0.08/0.25 % ...of those cached : 0
% 0.08/0.25 % Propositional unsat checks : 0
% 0.08/0.25 % Propositional check models : 0
% 0.08/0.25 % Propositional check unsatisfiable : 0
% 0.08/0.25 % Propositional clauses : 0
% 0.08/0.25 % Propositional clauses after purity: 0
% 0.08/0.25 % Propositional unsat core size : 0
% 0.08/0.25 % Propositional preprocessing time : 0.000
% 0.08/0.25 % Propositional encoding time : 0.000
% 0.08/0.25 % Propositional solver time : 0.000
% 0.08/0.25 % Success case prop preproc time : 0.000
% 0.08/0.25 % Success case prop encoding time : 0.000
% 0.08/0.25 % Success case prop solver time : 0.000
% 0.08/0.25 % Current number of processed clauses : 4
% 0.08/0.25 % Positive orientable unit clauses : 1
% 0.08/0.25 % Positive unorientable unit clauses: 0
% 0.08/0.25 % Negative unit clauses : 1
% 0.08/0.25 % Non-unit-clauses : 2
% 0.08/0.25 % Current number of unprocessed clauses: 2
% 0.08/0.25 % ...number of literals in the above : 3
% 0.08/0.25 % Current number of archived formulas : 0
% 0.08/0.25 % Current number of archived clauses : 8
% 0.08/0.25 % Clause-clause subsumption calls (NU) : 1
% 0.08/0.25 % Rec. Clause-clause subsumption calls : 1
% 0.08/0.25 % Non-unit clause-clause subsumptions : 1
% 0.08/0.25 % Unit Clause-clause subsumption calls : 5
% 0.08/0.25 % Rewrite failures with RHS unbound : 0
% 0.08/0.25 % BW rewrite match attempts : 4
% 0.08/0.25 % BW rewrite match successes : 3
% 0.08/0.25 % Condensation attempts : 0
% 0.08/0.25 % Condensation successes : 0
% 0.08/0.25 % Termbank termtop insertions : 533
% 0.08/0.25 % Search garbage collected termcells : 122
% 0.08/0.25
% 0.08/0.25 % -------------------------------------------------
% 0.08/0.25 % User time : 0.004 s
% 0.08/0.25 % System time : 0.002 s
% 0.08/0.25 % Total time : 0.007 s
% 0.08/0.25 % Maximum resident set size: 3632 pages
% 0.08/0.25
% 0.08/0.25 % -------------------------------------------------
% 0.08/0.25 % User time : 0.004 s
% 0.08/0.25 % System time : 0.009 s
% 0.08/0.25 % Total time : 0.013 s
% 0.08/0.25 % Maximum resident set size: 4608 pages
% 0.08/0.25 % E exiting
%------------------------------------------------------------------------------