%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM668^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 08:16:46 AM UTC 2026
% Result : Theorem 0.28s 0.39s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 6 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 6 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 30 ( 10 ~; 0 |; 0 &; 20 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 ^; 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_23,type,
x: nat ).
thf(decl_24,type,
y: nat ).
thf(decl_25,type,
pl: nat > nat > nat ).
thf(satz18,conjecture,
~ ! [X1: nat] :
( ( pl @ x @ y )
!= ( pl @ x @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.8yTzvRlL7t/E---3.1_3081248.p',satz18) ).
thf(c_0_1,negated_conjecture,
~ ~ ! [X1: nat] :
( ( pl @ x @ y )
!= ( pl @ x @ X1 ) ),
inference(assume_negation,[status(cth)],[satz18]) ).
thf(c_0_2,negated_conjecture,
~ ~ ! [X1: nat] :
( ( pl @ x @ y )
!= ( pl @ x @ X1 ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X3: nat] :
( ( pl @ x @ y )
!= ( pl @ x @ X3 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
thf(c_0_4,negated_conjecture,
! [X1: nat] :
( ( pl @ x @ y )
!= ( pl @ x @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM668^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.28 % Computer : n008.cluster.edu
% 0.13/0.28 % Model : x86_64 x86_64
% 0.13/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.28 % Memory : 8046.5625MB
% 0.13/0.28 % OS : Linux 6.8.0-71-generic
% 0.13/0.28 % CPULimit : 300
% 0.13/0.28 % WCLimit : 300
% 0.13/0.28 % DateTime : Tue Sep 29 12:34:24 UTC 2026
% 0.13/0.28 % CPUTime :
% 0.13/0.28 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.34 Running higher-order theorem proving
% 0.28/0.35 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.8yTzvRlL7t/E---3.1_3081248.p
% 0.28/0.39 % Version: 3.5.1-ho
% 0.28/0.39 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.28/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.28/0.39 % Starting ho_unfolding_6 with 300s (1) cores
% 0.28/0.39 % Starting sh4l with 300s (1) cores
% 0.28/0.39 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.28/0.39 % new_ho_10 with pid 3081261 completed with status 0
% 0.28/0.39 % Result found by new_ho_10
% 0.28/0.39 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.28/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.28/0.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.28/0.39 % No SInE strategy applied
% 0.28/0.39 % Search class: HUUPF-FFSF22-SFFFFFNN
% 0.28/0.39 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.28/0.39 % Starting SubtermCWHack with 151s (1) cores
% 0.28/0.39 % Starting new_ho_10 with 901s (1) cores
% 0.28/0.39 % Starting sh5l with 151s (1) cores
% 0.28/0.39 % Starting new_bool_1 with 151s (1) cores
% 0.28/0.39 % Starting new_bool_2 with 146s (1) cores
% 0.28/0.39 % SubtermCWHack with pid 3081265 completed with status 0
% 0.28/0.39 % Result found by SubtermCWHack
% 0.28/0.39 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.28/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.28/0.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.28/0.39 % No SInE strategy applied
% 0.28/0.39 % Search class: HUUPF-FFSF22-SFFFFFNN
% 0.28/0.39 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.28/0.39 % Starting SubtermCWHack with 151s (1) cores
% 0.28/0.39 % Preprocessing time : 0.001 s
% 0.28/0.39
% 0.28/0.39 % Proof found!
% 0.28/0.39 % SZS status Theorem
% 0.28/0.39 % SZS output start CNFRefutation
% See solution above
% 0.28/0.39 % Parsed axioms : 5
% 0.28/0.39 % Removed by relevancy pruning/SinE : 0
% 0.28/0.39 % Initial clauses : 5
% 0.28/0.39 % Removed in clause preprocessing : 4
% 0.28/0.39 % Initial clauses in saturation : 1
% 0.28/0.39 % Processed clauses : 1
% 0.28/0.39 % ...of these trivial : 0
% 0.28/0.39 % ...subsumed : 0
% 0.28/0.39 % ...remaining for further processing : 1
% 0.28/0.39 % Other redundant clauses eliminated : 0
% 0.28/0.39 % Clauses deleted for lack of memory : 0
% 0.28/0.39 % Backward-subsumed : 0
% 0.28/0.39 % Backward-rewritten : 0
% 0.28/0.40 % Generated clauses : 1
% 0.28/0.40 % ...of the previous two non-redundant : 0
% 0.28/0.40 % ...aggressively subsumed : 0
% 0.28/0.40 % Contextual simplify-reflections : 0
% 0.28/0.40 % Paramodulations : 0
% 0.28/0.40 % Factorizations : 0
% 0.28/0.40 % NegExts : 0
% 0.28/0.40 % Equation resolutions : 1
% 0.28/0.40 % Disequality decompositions : 0
% 0.28/0.40 % Total rewrite steps : 0
% 0.28/0.40 % ...of those cached : 0
% 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 : 1
% 0.28/0.40 % Positive orientable unit clauses : 0
% 0.28/0.40 % Positive unorientable unit clauses: 0
% 0.28/0.40 % Negative unit clauses : 1
% 0.28/0.40 % Non-unit-clauses : 0
% 0.28/0.40 % Current number of unprocessed clauses: 0
% 0.28/0.40 % ...number of literals in the above : 0
% 0.28/0.40 % Current number of archived formulas : 0
% 0.28/0.40 % Current number of archived clauses : 0
% 0.28/0.40 % Clause-clause subsumption calls (NU) : 0
% 0.28/0.40 % Rec. Clause-clause subsumption calls : 0
% 0.28/0.40 % Non-unit clause-clause subsumptions : 0
% 0.28/0.40 % Unit Clause-clause subsumption calls : 0
% 0.28/0.40 % Rewrite failures with RHS unbound : 0
% 0.28/0.40 % BW rewrite match attempts : 0
% 0.28/0.40 % BW rewrite match successes : 0
% 0.28/0.40 % Condensation attempts : 0
% 0.28/0.40 % Condensation successes : 0
% 0.28/0.40 % Termbank termtop insertions : 124
% 0.28/0.40 % Search garbage collected termcells : 14
% 0.28/0.40
% 0.28/0.40 % -------------------------------------------------
% 0.28/0.40 % User time : 0.002 s
% 0.28/0.40 % System time : 0.003 s
% 0.28/0.40 % Total time : 0.005 s
% 0.28/0.40 % Maximum resident set size: 3368 pages
% 0.28/0.40
% 0.28/0.40 % -------------------------------------------------
% 0.28/0.40 % User time : 0.009 s
% 0.28/0.40 % System time : 0.007 s
% 0.28/0.40 % Total time : 0.016 s
% 0.28/0.40 % Maximum resident set size: 4864 pages
% 0.28/0.40 % E exiting
%------------------------------------------------------------------------------