%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP327_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 : Thu Sep 24 12:55:25 PM UTC 2026
% Result : Theorem 0.14s 5.56s
% Output : CNFRefutation 0.14s
% 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)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 7 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'A_a_a_fun_fun$': $tType ).
tff(decl_sort2,type,
'A$': $tType ).
tff(decl_sort3,type,
'A_a_fun$': $tType ).
tff(decl_sort4,type,
'A_n_vec$': $tType ).
tff(decl_sort5,type,
'N$': $tType ).
tff(decl_sort6,type,
'N_a_fun$': $tType ).
tff(decl_sort7,type,
'N_bool_fun$': $tType ).
tff(decl_28,type,
'fun_app$n': ( 'A$' * 'A_a_a_fun_fun$' ) > 'A_a_fun$' ).
tff(decl_105,type,
'the$': 'N_bool_fun$' > 'N$' ).
tff(decl_107,type,
'i$': 'N$' ).
tff(decl_123,type,
'vec_nth$b': 'A_n_vec$' > 'N_a_fun$' ).
tff(decl_135,type,
'times$e': 'A_a_a_fun_fun$' ).
tff(decl_185,type,
'uu$': 'N_bool_fun$' ).
tff(decl_199,type,
'fun_app$m': ( 'A$' * 'A_a_fun$' ) > 'A$' ).
tff(decl_213,type,
'xa$': 'A_n_vec$' ).
tff(decl_257,type,
'zero$': 'A$' ).
tff(decl_267,type,
'fun_app$d': ( 'N$' * 'N_a_fun$' ) > 'A$' ).
tff(decl_279,type,
'x$': 'A_n_vec$' ).
tff(conjecture118,conjecture,
'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')) = 'zero$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture118) ).
tff(axiom142,axiom,
! [X308: 'A$'] : ( 'fun_app$m'('fun_app$n'('times$e',X308),'zero$') = 'zero$' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom142) ).
tff(axiom119,axiom,
'fun_app$d'('vec_nth$b'('xa$'),'i$') = 'zero$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom119) ).
tff(c_0_3,negated_conjecture,
'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')) != 'zero$',
inference(assume_negation,[status(cth)],[conjecture118]) ).
tff(c_0_4,negated_conjecture,
'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')) != 'zero$',
inference(fof_simplification,[status(thm)],[c_0_3]) ).
tff(c_0_5,negated_conjecture,
'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')) != 'zero$',
inference(fof_nnf,[status(thm)],[c_0_4]) ).
tff(c_0_6,plain,
! [X1615: 'A$'] : ( 'fun_app$m'('fun_app$n'('times$e',X1615),'zero$') = 'zero$' ),
inference(variable_rename,[status(thm)],[axiom142]) ).
tcf(c_0_7,negated_conjecture,
'fun_app$m'('fun_app$n'('times$e','fun_app$d'('vec_nth$b'('x$'),'the$'('uu$'))),'fun_app$d'('vec_nth$b'('xa$'),'i$')) != 'zero$',
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,plain,
'fun_app$d'('vec_nth$b'('xa$'),'i$') = 'zero$',
inference(split_conjunct,[status(thm)],[axiom119]) ).
tcf(c_0_9,plain,
! [X21: 'A$'] : 'fun_app$m'('fun_app$n'('times$e',X21),'zero$') = 'zero$',
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP327_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.37 % Computer : n007.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Sun Sep 20 22:32:25 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.56 % Version: 3.5.1
% 0.14/5.56 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.14/5.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.56 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.56 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.56 % Starting sh5l with 300s (1) cores
% 0.14/5.56 % new_bool_1 with pid 3724671 completed with status 0
% 0.14/5.56 % Result found by new_bool_1
% 0.14/5.56 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.14/5.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.56 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.56 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.56 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.14/5.56 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.56 % Starting SubtermCWHack with 28s (1) cores
% 0.14/5.56 % SubtermCWHack with pid 3724673 completed with status 0
% 0.14/5.56 % Result found by SubtermCWHack
% 0.14/5.56 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.14/5.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.56 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.56 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.56 % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.14/5.56 % Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.56 % Starting SubtermCWHack with 28s (1) cores
% 0.14/5.56 % Preprocessing time : 0.004 s
% 0.14/5.56
% 0.14/5.56 % Proof found!
% 0.14/5.56 % SZS status Theorem
% 0.14/5.56 % SZS output start CNFRefutation
% See solution above
% 0.14/5.56 % Parsed axioms : 1128
% 0.14/5.56 % Removed by relevancy pruning/SinE : 921
% 0.14/5.56 % Initial clauses : 396
% 0.14/5.56 % Removed in clause preprocessing : 41
% 0.14/5.56 % Initial clauses in saturation : 355
% 0.14/5.56 % Processed clauses : 1551
% 0.14/5.56 % ...of these trivial : 33
% 0.14/5.56 % ...subsumed : 1029
% 0.14/5.56 % ...remaining for further processing : 488
% 0.14/5.56 % Other redundant clauses eliminated : 133
% 0.14/5.56 % Clauses deleted for lack of memory : 0
% 0.14/5.56 % Backward-subsumed : 12
% 0.14/5.56 % Backward-rewritten : 2
% 0.14/5.56 % Generated clauses : 6705
% 0.14/5.56 % ...of the previous two non-redundant : 4012
% 0.14/5.56 % ...aggressively subsumed : 0
% 0.14/5.56 % Contextual simplify-reflections : 0
% 0.14/5.56 % Paramodulations : 6561
% 0.14/5.56 % Factorizations : 2
% 0.14/5.56 % NegExts : 0
% 0.14/5.56 % Equation resolutions : 145
% 0.14/5.56 % Disequality decompositions : 0
% 0.14/5.56 % Total rewrite steps : 2818
% 0.14/5.56 % ...of those cached : 2628
% 0.14/5.56 % Propositional unsat checks : 0
% 0.14/5.56 % Propositional check models : 0
% 0.14/5.56 % Propositional check unsatisfiable : 0
% 0.14/5.56 % Propositional clauses : 0
% 0.14/5.56 % Propositional clauses after purity: 0
% 0.14/5.56 % Propositional unsat core size : 0
% 0.14/5.56 % Propositional preprocessing time : 0.000
% 0.14/5.56 % Propositional encoding time : 0.000
% 0.14/5.56 % Propositional solver time : 0.000
% 0.14/5.56 % Success case prop preproc time : 0.000
% 0.14/5.56 % Success case prop encoding time : 0.000
% 0.14/5.56 % Success case prop solver time : 0.000
% 0.14/5.56 % Current number of processed clauses : 416
% 0.14/5.56 % Positive orientable unit clauses : 89
% 0.14/5.56 % Positive unorientable unit clauses: 4
% 0.14/5.56 % Negative unit clauses : 19
% 0.14/5.56 % Non-unit-clauses : 304
% 0.14/5.56 % Current number of unprocessed clauses: 2801
% 0.14/5.56 % ...number of literals in the above : 8649
% 0.14/5.56 % Current number of archived formulas : 0
% 0.14/5.56 % Current number of archived clauses : 14
% 0.14/5.56 % Clause-clause subsumption calls (NU) : 13509
% 0.14/5.56 % Rec. Clause-clause subsumption calls : 10835
% 0.14/5.56 % Non-unit clause-clause subsumptions : 786
% 0.14/5.56 % Unit Clause-clause subsumption calls : 295
% 0.14/5.56 % Rewrite failures with RHS unbound : 0
% 0.14/5.56 % BW rewrite match attempts : 49
% 0.14/5.56 % BW rewrite match successes : 23
% 0.14/5.56 % Condensation attempts : 0
% 0.14/5.56 % Condensation successes : 0
% 0.14/5.56 % Termbank termtop insertions : 111015
% 0.14/5.56 % Search garbage collected termcells : 11595
% 0.14/5.56
% 0.14/5.56 % -------------------------------------------------
% 0.14/5.56 % User time : 0.069 s
% 0.14/5.56 % System time : 0.011 s
% 0.14/5.56 % Total time : 0.080 s
% 0.14/5.56 % Maximum resident set size: 6604 pages
% 0.14/5.56
% 0.14/5.56 % -------------------------------------------------
% 0.14/5.56 % User time : 0.107 s
% 0.14/5.56 % System time : 0.019 s
% 0.14/5.56 % Total time : 0.126 s
% 0.14/5.56 % Maximum resident set size: 6400 pages
% 0.14/5.56 % E exiting
%------------------------------------------------------------------------------