%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM782^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:17:05 AM UTC 2026
% Result : Theorem 0.24s 0.31s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 11 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
rat: $tType ).
thf(decl_23,type,
x0: rat ).
thf(decl_24,type,
y0: rat ).
thf(decl_25,type,
z0: rat ).
thf(satz80,conjecture,
x0 = z0,
file('/export/starexec/sandbox/tmp/tmp.JXLeZykxSZ/E---3.1_717494.p',satz80) ).
thf(j,axiom,
y0 = z0,
file('/export/starexec/sandbox/tmp/tmp.JXLeZykxSZ/E---3.1_717494.p',j) ).
thf(i,axiom,
x0 = y0,
file('/export/starexec/sandbox/tmp/tmp.JXLeZykxSZ/E---3.1_717494.p',i) ).
thf(c_0_3,negated_conjecture,
x0 != z0,
inference(assume_negation,[status(cth)],[satz80]) ).
thf(c_0_4,negated_conjecture,
x0 != z0,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
x0 != z0,
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
y0 = z0,
inference(split_conjunct,[status(thm)],[j]) ).
thf(c_0_7,plain,
x0 = y0,
inference(split_conjunct,[status(thm)],[i]) ).
thf(c_0_8,negated_conjecture,
x0 != z0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
z0 = x0,
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM782^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 % Computer : n019.cluster.edu
% 0.08/0.22 % Model : x86_64 x86_64
% 0.08/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22 % Memory : 8046.5625MB
% 0.08/0.22 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Tue Sep 29 12:55:32 UTC 2026
% 0.08/0.23 % CPUTime :
% 0.08/0.23 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 Running higher-order theorem proving
% 0.24/0.29 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.JXLeZykxSZ/E---3.1_717494.p
% 0.24/0.31 % Version: 3.5.1-ho
% 0.24/0.31 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.24/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.31 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.31 % Starting ho_unfolding_6 with 300s (1) cores
% 0.24/0.31 % Starting sh4l with 300s (1) cores
% 0.24/0.31 % Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.24/0.31 % new_ho_10 with pid 717507 completed with status 0
% 0.24/0.31 % Result found by new_ho_10
% 0.24/0.31 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.24/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.31 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.31 % No SInE strategy applied
% 0.24/0.31 % Search class: HUUPF-FFSF00-SFFFFFNN
% 0.24/0.31 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.31 % Starting SubtermCWHack with 151s (1) cores
% 0.24/0.31 % Starting new_ho_10 with 901s (1) cores
% 0.24/0.31 % Starting sh5l with 151s (1) cores
% 0.24/0.31 % Starting new_bool_1 with 151s (1) cores
% 0.24/0.31 % Starting new_bool_2 with 146s (1) cores
% 0.24/0.31 % SubtermCWHack with pid 717508 completed with status 0
% 0.24/0.31 % Result found by SubtermCWHack
% 0.24/0.31 % Preprocessing class: HSSSSMSSSSSNFFN.
% 0.24/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.31 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.31 % No SInE strategy applied
% 0.24/0.31 % Search class: HUUPF-FFSF00-SFFFFFNN
% 0.24/0.31 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.31 % Starting SubtermCWHack with 151s (1) cores
% 0.24/0.31 % Preprocessing time : 0.002 s
% 0.24/0.31
% 0.24/0.31 % Proof found!
% 0.24/0.31 % SZS status Theorem
% 0.24/0.31 % SZS output start CNFRefutation
% See solution above
% 0.24/0.31 % Parsed axioms : 7
% 0.24/0.31 % Removed by relevancy pruning/SinE : 0
% 0.24/0.31 % Initial clauses : 7
% 0.24/0.31 % Removed in clause preprocessing : 4
% 0.24/0.31 % Initial clauses in saturation : 3
% 0.24/0.31 % Processed clauses : 3
% 0.24/0.31 % ...of these trivial : 0
% 0.24/0.31 % ...subsumed : 0
% 0.24/0.31 % ...remaining for further processing : 2
% 0.24/0.31 % Other redundant clauses eliminated : 0
% 0.24/0.31 % Clauses deleted for lack of memory : 0
% 0.24/0.31 % Backward-subsumed : 0
% 0.24/0.31 % Backward-rewritten : 0
% 0.24/0.31 % Generated clauses : 0
% 0.24/0.31 % ...of the previous two non-redundant : 0
% 0.24/0.31 % ...aggressively subsumed : 0
% 0.24/0.31 % Contextual simplify-reflections : 0
% 0.24/0.31 % Paramodulations : 0
% 0.24/0.31 % Factorizations : 0
% 0.24/0.31 % NegExts : 0
% 0.24/0.31 % Equation resolutions : 0
% 0.24/0.31 % Disequality decompositions : 0
% 0.24/0.31 % Total rewrite steps : 2
% 0.24/0.31 % ...of those cached : 0
% 0.24/0.31 % Propositional unsat checks : 0
% 0.24/0.31 % Propositional check models : 0
% 0.24/0.31 % Propositional check unsatisfiable : 0
% 0.24/0.31 % Propositional clauses : 0
% 0.24/0.31 % Propositional clauses after purity: 0
% 0.24/0.31 % Propositional unsat core size : 0
% 0.24/0.31 % Propositional preprocessing time : 0.000
% 0.24/0.31 % Propositional encoding time : 0.000
% 0.24/0.31 % Propositional solver time : 0.000
% 0.24/0.31 % Success case prop preproc time : 0.000
% 0.24/0.31 % Success case prop encoding time : 0.000
% 0.24/0.31 % Success case prop solver time : 0.000
% 0.24/0.31 % Current number of processed clauses : 2
% 0.24/0.31 % Positive orientable unit clauses : 2
% 0.24/0.31 % Positive unorientable unit clauses: 0
% 0.24/0.31 % Negative unit clauses : 0
% 0.24/0.31 % Non-unit-clauses : 0
% 0.24/0.31 % Current number of unprocessed clauses: 0
% 0.24/0.31 % ...number of literals in the above : 0
% 0.24/0.31 % Current number of archived formulas : 0
% 0.24/0.31 % Current number of archived clauses : 0
% 0.24/0.31 % Clause-clause subsumption calls (NU) : 0
% 0.24/0.31 % Rec. Clause-clause subsumption calls : 0
% 0.24/0.31 % Non-unit clause-clause subsumptions : 0
% 0.24/0.31 % Unit Clause-clause subsumption calls : 0
% 0.24/0.31 % Rewrite failures with RHS unbound : 0
% 0.24/0.31 % BW rewrite match attempts : 0
% 0.24/0.31 % BW rewrite match successes : 0
% 0.24/0.31 % Condensation attempts : 0
% 0.24/0.31 % Condensation successes : 0
% 0.24/0.31 % Termbank termtop insertions : 107
% 0.24/0.31 % Search garbage collected termcells : 0
% 0.24/0.31
% 0.24/0.31 % -------------------------------------------------
% 0.24/0.31 % User time : 0.004 s
% 0.24/0.31 % System time : 0.002 s
% 0.24/0.31 % Total time : 0.006 s
% 0.24/0.31 % Maximum resident set size: 3624 pages
% 0.24/0.31
% 0.24/0.31 % -------------------------------------------------
% 0.24/0.31 % User time : 0.009 s
% 0.24/0.31 % System time : 0.012 s
% 0.24/0.31 % Total time : 0.021 s
% 0.24/0.31 % Maximum resident set size: 4864 pages
% 0.24/0.31 % E exiting
%------------------------------------------------------------------------------