%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV116^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:34:53 AM UTC 2026
% Result : Theorem 0.28s 0.40s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 19 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 2 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 168 ( 17 ~; 14 |; 16 &; 109 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 26 ( 12 ^; 14 !; 0 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
cS: ( $i > $i > $o ) > $o ).
thf(decl_24,type,
x: $i ).
thf(decl_25,type,
y: $i ).
thf(decl_26,type,
cSTRANGE_HO_ABBR: ( ( $i > $i > $o ) > $o ) > $i > $i > $o ).
thf(decl_27,type,
epred1_0: $i > $i > $o ).
thf(decl_28,type,
epred2_0: $i > $i > $o ).
thf(cSTRANGE_HO_EXAMPLE,conjecture,
( ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
& ( cSTRANGE_HO_ABBR @ cS @ x @ y ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ),
file('/export/starexec/sandbox2/tmp/tmp.g86zTdLuFK/E---3.1_204887.p',cSTRANGE_HO_EXAMPLE) ).
thf(cSTRANGE_HO_ABBR_def,axiom,
( cSTRANGE_HO_ABBR
= ( ^ [X1: ( $i > $i > $o ) > $o,X2: $i,X3: $i] :
! [X4: $i > $i > $o] :
( ( ( X1 @ X4 )
& ( X4 @ X2 @ X3 ) )
=> ( X4 @ X3 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.g86zTdLuFK/E---3.1_204887.p',cSTRANGE_HO_ABBR_def) ).
thf(c_0_2,negated_conjecture,
~ ( ( ( cS @ ( cSTRANGE_HO_ABBR @ cS ) )
& ( cSTRANGE_HO_ABBR @ cS @ x @ y ) )
=> ( cSTRANGE_HO_ABBR @ cS @ y @ x ) ),
inference(assume_negation,[status(cth)],[cSTRANGE_HO_EXAMPLE]) ).
thf(c_0_3,plain,
( cSTRANGE_HO_ABBR
= ( ^ [Z0: ( $i > $i > $o ) > $o,Z1: $i,Z2: $i] :
! [X4: $i > $i > $o] :
( ( ( Z0 @ X4 )
& ( X4 @ Z1 @ Z2 ) )
=> ( X4 @ Z2 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[cSTRANGE_HO_ABBR_def]) ).
thf(c_0_4,negated_conjecture,
~ ( ( ( cS
@ ^ [Z0: $i,Z1: $i] :
! [X5: $i > $i > $o] :
( ( ( cS @ X5 )
& ( X5 @ Z0 @ Z1 ) )
=> ( X5 @ Z1 @ Z0 ) ) )
& ! [X6: $i > $i > $o] :
( ( ( cS @ X6 )
& ( X6 @ x @ y ) )
=> ( X6 @ y @ x ) ) )
=> ! [X7: $i > $i > $o] :
( ( ( cS @ X7 )
& ( X7 @ y @ x ) )
=> ( X7 @ x @ y ) ) ),
inference(apply_def,[status(thm)],[c_0_2,c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X8: $i > $i > $o] :
( ( cS
@ ^ [Z0: $i,Z1: $i] :
! [X5: $i > $i > $o] :
( ( ( cS @ X5 )
& ( X5 @ Z0 @ Z1 ) )
=> ( X5 @ Z1 @ Z0 ) ) )
& ( ~ ( cS @ X8 )
| ~ ( X8 @ x @ y )
| ( X8 @ y @ x ) )
& ( cS @ epred1_0 )
& ( epred1_0 @ y @ x )
& ~ ( epred1_0 @ x @ y ) ),
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_4])])])])]) ).
thf(c_0_6,negated_conjecture,
! [X4: $i > $i > $o] :
( ( X4 @ y @ x )
| ~ ( cS @ X4 )
| ~ ( X4 @ x @ y ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_7,negated_conjecture,
( cS
@ ^ [Z0: $i,Z1: $i] :
! [X14: $i > $i > $o] :
( ( ( cS @ X14 )
& ( X14 @ Z0 @ Z1 ) )
=> ( X14 @ Z1 @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
( ! [X15: $i > $i > $o] :
( ( ( cS @ X15 )
& ( X15 @ y @ x ) )
=> ( X15 @ x @ y ) )
| ~ ! [X16: $i > $i > $o] :
( ( ( cS @ X16 )
& ( X16 @ x @ y ) )
=> ( X16 @ y @ x ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X4: $i > $i > $o] :
( ( X4 @ x @ y )
| ( cS @ epred2_0 )
| ~ ( X4 @ y @ x )
| ~ ( cS @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_8]) ).
thf(c_0_10,negated_conjecture,
cS @ epred1_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_11,negated_conjecture,
epred1_0 @ y @ x,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_12,negated_conjecture,
~ ( epred1_0 @ x @ y ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_13,negated_conjecture,
! [X4: $i > $i > $o] :
( ( X4 @ x @ y )
| ~ ( epred2_0 @ y @ x )
| ~ ( X4 @ y @ x )
| ~ ( cS @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_8]) ).
thf(c_0_14,negated_conjecture,
! [X4: $i > $i > $o] :
( ( epred2_0 @ x @ y )
| ( X4 @ x @ y )
| ~ ( X4 @ y @ x )
| ~ ( cS @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_8]) ).
thf(c_0_15,negated_conjecture,
cS @ epred2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),c_0_12]) ).
thf(c_0_16,negated_conjecture,
~ ( epred2_0 @ y @ x ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_10]),c_0_11])]),c_0_12]) ).
thf(c_0_17,negated_conjecture,
epred2_0 @ x @ y,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_10]),c_0_11])]),c_0_12]) ).
thf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV116^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.28 % Computer : n018.cluster.edu
% 0.11/0.28 % Model : x86_64 x86_64
% 0.11/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.28 % Memory : 8046.5625MB
% 0.11/0.28 % OS : Linux 6.8.0-71-generic
% 0.11/0.28 % CPULimit : 300
% 0.11/0.28 % WCLimit : 300
% 0.11/0.28 % DateTime : Tue Sep 29 15:13:41 UTC 2026
% 0.11/0.28 % CPUTime :
% 0.11/0.28 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.35 Running higher-order theorem proving
% 0.28/0.37 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.g86zTdLuFK/E---3.1_204887.p
% 0.28/0.40 % Version: 3.5.1-ho
% 0.28/0.40 % partial match(1): HSSSSMSSSLSNHHN
% 0.28/0.40 % Preprocessing class: HSSSSMSSSLSCHHN.
% 0.28/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.40 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.28/0.40 % Starting sh5l with 300s (1) cores
% 0.28/0.40 % Starting full_lambda_10 with 300s (1) cores
% 0.28/0.40 % Starting full_lambda_6 with 300s (1) cores
% 0.28/0.40 % full_lambda_10 with pid 204902 completed with status 0
% 0.28/0.40 % Result found by full_lambda_10
% 0.28/0.40 % partial match(1): HSSSSMSSSLSNHHN
% 0.28/0.40 % Preprocessing class: HSSSSMSSSLSCHHN.
% 0.28/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.40 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.28/0.40 % Starting sh5l with 300s (1) cores
% 0.28/0.40 % Starting full_lambda_10 with 300s (1) cores
% 0.28/0.40 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,5,20000,3.0,true))
% 0.28/0.40 % SinE strategy is GSinE(CountFormulas,hypos,5,,5,20000,3.0,true)
% 0.28/0.40 % Search class: HHUNF-FFSS00-DHHFMSBN
% 0.28/0.40 % partial match(3): HHUNF-FFSF00-SHSFMSBN
% 0.28/0.40 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.40 % Starting SubtermCWHack with 28s (1) cores
% 0.28/0.40 % SubtermCWHack with pid 204906 completed with status 10
% 0.28/0.40 % Starting full_lambda_10 with 31s (1) cores
% 0.28/0.40 % full_lambda_10 with pid 204912 completed with status 0
% 0.28/0.40 % Result found by full_lambda_10
% 0.28/0.40 % partial match(1): HSSSSMSSSLSNHHN
% 0.28/0.40 % Preprocessing class: HSSSSMSSSLSCHHN.
% 0.28/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.40 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.28/0.40 % Starting sh5l with 300s (1) cores
% 0.28/0.40 % Starting full_lambda_10 with 300s (1) cores
% 0.28/0.40 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,5,20000,3.0,true))
% 0.28/0.40 % SinE strategy is GSinE(CountFormulas,hypos,5,,5,20000,3.0,true)
% 0.28/0.40 % Search class: HHUNF-FFSS00-DHHFMSBN
% 0.28/0.40 % partial match(3): HHUNF-FFSF00-SHSFMSBN
% 0.28/0.40 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.40 % Starting SubtermCWHack with 28s (1) cores
% 0.28/0.40 % SubtermCWHack with pid 204906 completed with status 10
% 0.28/0.40 % Starting full_lambda_10 with 31s (1) cores
% 0.28/0.40 % Preprocessing time : 0.001 s
% 0.28/0.40 % Presaturation interreduction done
% 0.28/0.40
% 0.28/0.40 % Proof found!
% 0.28/0.40 % SZS status Theorem
% 0.28/0.40 % SZS output start CNFRefutation
% See solution above
% 0.28/0.40 % Parsed axioms : 6
% 0.28/0.40 % Removed by relevancy pruning/SinE : 4
% 0.28/0.40 % Initial clauses : 5
% 0.28/0.40 % Removed in clause preprocessing : 0
% 0.28/0.40 % Initial clauses in saturation : 5
% 0.28/0.40 % Processed clauses : 18
% 0.28/0.40 % ...of these trivial : 0
% 0.28/0.40 % ...subsumed : 0
% 0.28/0.40 % ...remaining for further processing : 17
% 0.28/0.40 % Other redundant clauses eliminated : 0
% 0.28/0.40 % Clauses deleted for lack of memory : 0
% 0.28/0.40 % Backward-subsumed : 1
% 0.28/0.40 % Backward-rewritten : 2
% 0.28/0.40 % Generated clauses : 13
% 0.28/0.40 % ...of the previous two non-redundant : 12
% 0.28/0.40 % ...aggressively subsumed : 0
% 0.28/0.40 % Contextual simplify-reflections : 0
% 0.28/0.40 % Paramodulations : 10
% 0.28/0.40 % Factorizations : 0
% 0.28/0.40 % NegExts : 0
% 0.28/0.40 % Equation resolutions : 0
% 0.28/0.40 % Disequality decompositions : 0
% 0.28/0.40 % Total rewrite steps : 7
% 0.28/0.40 % ...of those cached : 4
% 0.28/0.40 % Propositional unsat checks : 0
% 0.28/0.40 % Propositional check models : 0
% 0.28/0.40 % Propositional check unsatisfiable : 0
% 0.28/0.40 % Propositional clauses : 0
% 0.28/0.40 % Propositional clauses after purity: 0
% 0.28/0.40 % Propositional unsat core size : 0
% 0.28/0.40 % Propositional preprocessing time : 0.000
% 0.28/0.40 % Propositional encoding time : 0.000
% 0.28/0.40 % Propositional solver time : 0.000
% 0.28/0.40 % Success case prop preproc time : 0.000
% 0.28/0.40 % Success case prop encoding time : 0.000
% 0.28/0.40 % Success case prop solver time : 0.000
% 0.28/0.40 % Current number of processed clauses : 8
% 0.28/0.40 % Positive orientable unit clauses : 5
% 0.28/0.40 % Positive unorientable unit clauses: 0
% 0.28/0.40 % Negative unit clauses : 2
% 0.28/0.40 % Non-unit-clauses : 1
% 0.28/0.40 % Current number of unprocessed clauses: 1
% 0.28/0.40 % ...number of literals in the above : 2
% 0.28/0.40 % Current number of archived formulas : 0
% 0.28/0.40 % Current number of archived clauses : 9
% 0.28/0.40 % Clause-clause subsumption calls (NU) : 10
% 0.28/0.40 % Rec. Clause-clause subsumption calls : 5
% 0.28/0.40 % Non-unit clause-clause subsumptions : 0
% 0.28/0.40 % Unit Clause-clause subsumption calls : 4
% 0.28/0.40 % Rewrite failures with RHS unbound : 0
% 0.28/0.40 % BW rewrite match attempts : 2
% 0.28/0.40 % BW rewrite match successes : 2
% 0.28/0.40 % Condensation attempts : 18
% 0.28/0.40 % Condensation successes : 0
% 0.28/0.40 % Termbank termtop insertions : 1679
% 0.28/0.40 % Search garbage collected termcells : 166
% 0.28/0.40
% 0.28/0.40 % -------------------------------------------------
% 0.28/0.40 % User time : 0.007 s
% 0.28/0.40 % System time : 0.001 s
% 0.28/0.40 % Total time : 0.009 s
% 0.28/0.40 % Maximum resident set size: 3632 pages
% 0.28/0.40
% 0.28/0.40 % -------------------------------------------------
% 0.28/0.40 % User time : 0.010 s
% 0.28/0.40 % System time : 0.006 s
% 0.28/0.40 % Total time : 0.017 s
% 0.28/0.40 % Maximum resident set size: 4608 pages
% 0.28/0.40 % E exiting
%------------------------------------------------------------------------------