%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU918^5 : 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 : n006.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 08:25:56 AM UTC 2026
% Result : Theorem 198.51s 29.11s
% Output : CNFRefutation 198.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 11 ~; 0 |; 1 &; 21 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 4 ^; 14 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
b: $i ).
thf(decl_24,type,
a: $i ).
thf(cTHM197_pme,conjecture,
( ( a != b )
=> ~ ! [X1: $i > $i,X2: $i > $i] :
( ( ^ [X3: $i] : ( X1 @ ( X2 @ X3 ) ) )
= ( ^ [X3: $i] : ( X2 @ ( X1 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Dr5m5jCgoV/E---3.1_823564.p',cTHM197_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ( a != b )
=> ~ ! [X1: $i > $i,X2: $i > $i] :
( ( ^ [X3: $i] : ( X1 @ ( X2 @ X3 ) ) )
= ( ^ [X3: $i] : ( X2 @ ( X1 @ X3 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM197_pme]) ).
thf(c_0_2,negated_conjecture,
~ ( ( a != b )
=> ~ ! [X1: $i > $i,X2: $i > $i,X6: $i] :
( ( X1 @ ( X2 @ X6 ) )
= ( X2 @ ( X1 @ X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])]) ).
thf(c_0_3,negated_conjecture,
! [X7: $i > $i,X8: $i > $i,X9: $i] :
( ( a != b )
& ( ( X7 @ ( X8 @ X9 ) )
= ( X8 @ ( X7 @ X9 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
thf(c_0_4,negated_conjecture,
a != b,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X1: $i > $i,X2: $i > $i,X3: $i] :
( ( X1 @ ( X2 @ X3 ) )
= ( X2 @ ( X1 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i > $i] :
( ( X1 @ b )
!= a ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU918^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n006.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 14:45:54 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running higher-order theorem proving
% 0.07/0.25 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.Dr5m5jCgoV/E---3.1_823564.p
% 198.51/29.11 % Version: 3.5.1-ho
% 198.51/29.11 % Preprocessing class: HSSSSMSSSSSNSSN.
% 198.51/29.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 198.51/29.11 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 198.51/29.11 % Starting post_as_ho10 with 300s (1) cores
% 198.51/29.11 % Starting new_bool_9 with 300s (1) cores
% 198.51/29.11 % Starting sh5l with 300s (1) cores
% 198.51/29.11 % post_as_ho10 with pid 823590 completed with status 0
% 198.51/29.11 % Result found by post_as_ho10
% 198.51/29.11 % Preprocessing class: HSSSSMSSSSSNSSN.
% 198.51/29.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 198.51/29.11 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 198.51/29.11 % Starting post_as_ho10 with 300s (1) cores
% 198.51/29.11 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 198.51/29.11 % No SInE strategy applied
% 198.51/29.11 % Search class: HUUPF-FFSF00-SSSFFMNN
% 198.51/29.11 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 198.51/29.11 % Starting SubtermCWHack with 28s (1) cores
% 198.51/29.11 % SubtermCWHack with pid 823597 completed with status 8
% 198.51/29.11 % Starting post_as_ho10 with 31s (1) cores
% 198.51/29.11 % post_as_ho10 with pid 824058 completed with status 0
% 198.51/29.11 % Result found by post_as_ho10
% 198.51/29.11 % Preprocessing class: HSSSSMSSSSSNSSN.
% 198.51/29.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 198.51/29.11 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 198.51/29.11 % Starting post_as_ho10 with 300s (1) cores
% 198.51/29.11 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 198.51/29.11 % No SInE strategy applied
% 198.51/29.11 % Search class: HUUPF-FFSF00-SSSFFMNN
% 198.51/29.11 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 198.51/29.11 % Starting SubtermCWHack with 28s (1) cores
% 198.51/29.11 % SubtermCWHack with pid 823597 completed with status 8
% 198.51/29.11 % Starting post_as_ho10 with 31s (1) cores
% 198.51/29.11 % Preprocessing time : 0.001 s
% 198.51/29.11 % Presaturation interreduction done
% 198.51/29.11
% 198.51/29.11 % Proof found!
% 198.51/29.11 % SZS status Theorem
% 198.51/29.11 % SZS output start CNFRefutation
% See solution above
% 198.51/29.11 % Parsed axioms : 3
% 198.51/29.11 % Removed by relevancy pruning/SinE : 0
% 198.51/29.11 % Initial clauses : 4
% 198.51/29.11 % Removed in clause preprocessing : 2
% 198.51/29.11 % Initial clauses in saturation : 2
% 198.51/29.11 % Processed clauses : 6
% 198.51/29.11 % ...of these trivial : 0
% 198.51/29.11 % ...subsumed : 1
% 198.51/29.11 % ...remaining for further processing : 5
% 198.51/29.11 % Other redundant clauses eliminated : 0
% 198.51/29.11 % Clauses deleted for lack of memory : 0
% 198.51/29.11 % Backward-subsumed : 0
% 198.51/29.11 % Backward-rewritten : 0
% 198.51/29.11 % Generated clauses : 43
% 198.51/29.11 % ...of the previous two non-redundant : 22
% 198.51/29.11 % ...aggressively subsumed : 0
% 198.51/29.11 % Contextual simplify-reflections : 0
% 198.51/29.11 % Paramodulations : 42
% 198.51/29.11 % Factorizations : 0
% 198.51/29.11 % NegExts : 0
% 198.51/29.11 % Equation resolutions : 1
% 198.51/29.11 % Disequality decompositions : 0
% 198.51/29.11 % Total rewrite steps : 0
% 198.51/29.11 % ...of those cached : 0
% 198.51/29.11 % Propositional unsat checks : 0
% 198.51/29.11 % Propositional check models : 0
% 198.51/29.11 % Propositional check unsatisfiable : 0
% 198.51/29.11 % Propositional clauses : 0
% 198.51/29.11 % Propositional clauses after purity: 0
% 198.51/29.11 % Propositional unsat core size : 0
% 198.51/29.11 % Propositional preprocessing time : 0.000
% 198.51/29.11 % Propositional encoding time : 0.000
% 198.51/29.11 % Propositional solver time : 0.000
% 198.51/29.11 % Success case prop preproc time : 0.000
% 198.51/29.11 % Success case prop encoding time : 0.000
% 198.51/29.11 % Success case prop solver time : 0.000
% 198.51/29.11 % Current number of processed clauses : 3
% 198.51/29.11 % Positive orientable unit clauses : 0
% 198.51/29.11 % Positive unorientable unit clauses: 1
% 198.51/29.11 % Negative unit clauses : 2
% 198.51/29.11 % Non-unit-clauses : 0
% 198.51/29.11 % Current number of unprocessed clauses: 20
% 198.51/29.11 % ...number of literals in the above : 20
% 198.51/29.11 % Current number of archived formulas : 0
% 198.51/29.11 % Current number of archived clauses : 2
% 198.51/29.11 % Clause-clause subsumption calls (NU) : 0
% 198.51/29.11 % Rec. Clause-clause subsumption calls : 0
% 198.51/29.11 % Non-unit clause-clause subsumptions : 0
% 198.51/29.11 % Unit Clause-clause subsumption calls : 1
% 198.51/29.11 % Rewrite failures with RHS unbound : 0
% 198.51/29.11 % BW rewrite match attempts : 8
% 198.51/29.11 % BW rewrite match successes : 0
% 198.51/29.11 % Condensation attempts : 0
% 198.51/29.11 % Condensation successes : 0
% 198.51/29.11 % Termbank termtop insertions : 1078
% 198.51/29.11 % Search garbage collected termcells : 67
% 198.51/29.11
% 198.51/29.11 % -------------------------------------------------
% 198.51/29.11 % User time : 27.299 s
% 198.51/29.11 % System time : 0.798 s
% 198.51/29.11 % Total time : 28.097 s
% 198.51/29.11 % Maximum resident set size: 3628 pages
% 198.51/29.11
% 198.51/29.11 % -------------------------------------------------
% 198.51/29.11 % User time : 27.300 s
% 198.51/29.11 % System time : 0.805 s
% 198.51/29.11 % Total time : 28.105 s
% 198.51/29.11 % Maximum resident set size: 4864 pages
% 198.51/29.11 % E exiting
%------------------------------------------------------------------------------