%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP219_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:54:38 PM UTC 2026
% Result : Theorem 0.95s 1.65s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
assn: $tType ).
tff(decl_sort2,type,
fun_assn_bool: $tType ).
tff(decl_sort3,type,
fun_as7903617535776176121n_bool: $tType ).
tff(decl_sort4,type,
bool: $tType ).
tff(decl_101,type,
entails: fun_as7903617535776176121n_bool ).
tff(decl_794,type,
bot_bot_assn: assn ).
tff(decl_1165,type,
aa_assn_bool: ( assn * fun_assn_bool ) > bool ).
tff(decl_1170,type,
aa_ass5323576183532441186n_bool: ( assn * fun_as7903617535776176121n_bool ) > fun_assn_bool ).
tff(decl_1508,type,
pp: bool > $o ).
tff(decl_1512,type,
p: assn ).
tff(decl_1513,type,
q: assn ).
tff(conj_0,conjecture,
pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,p),q)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(fact_3_ent__iffI,axiom,
! [X4: assn,X5: assn] :
( pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,X4),X5))
=> ( pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,X5),X4))
=> ( X4 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_ent__iffI) ).
tff(fact_7_ent__false,axiom,
! [X1: assn] : pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,bot_bot_assn),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_ent__false) ).
tff(fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062,axiom,
pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,p),bot_bot_assn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062) ).
tff(c_0_4,negated_conjecture,
~ pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,p),q)),
inference(assume_negation,[status(cth)],[conj_0]) ).
tff(c_0_5,negated_conjecture,
~ pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,p),q)),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
tff(c_0_6,plain,
! [X13714: assn,X13715: assn] :
( ( X13714 = X13715 )
| ~ pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,X13715),X13714))
| ~ pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,X13714),X13715)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_ent__iffI])])]) ).
tff(c_0_7,plain,
! [X14213: assn] : pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,bot_bot_assn),X14213)),
inference(variable_rename,[status(thm)],[fact_7_ent__false]) ).
tff(c_0_8,negated_conjecture,
~ pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,p),q)),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
! [X2: assn,X1: assn] :
( ~ pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,X2),X1))
| ~ pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,X1),X2))
| ( X1 = X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,plain,
pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,p),bot_bot_assn)),
inference(split_conjunct,[status(thm)],[fact_1__092_060open_062P_A_092_060Longrightarrow_062_092_060_094sub_062A_Afalse_092_060close_062]) ).
tcf(c_0_11,plain,
! [X1: assn] : pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,bot_bot_assn),X1)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_12,negated_conjecture,
~ pp(aa_assn_bool(aa_ass5323576183532441186n_bool(entails,p),q)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_13,plain,
p = bot_bot_assn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP219_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:14:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.95/1.64 % Version: 3.5.1
% 0.95/1.64 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.95/1.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/1.64 % Starting new_bool_3 with 900s (3) cores
% 0.95/1.64 % Starting new_bool_1 with 900s (3) cores
% 0.95/1.64 % Starting sh5l with 300s (1) cores
% 0.95/1.64 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.95/1.64 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 901183 completed with status 0
% 0.95/1.64 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.95/1.64 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.95/1.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/1.64 % Starting new_bool_3 with 900s (3) cores
% 0.95/1.64 % Starting new_bool_1 with 900s (3) cores
% 0.95/1.64 % Starting sh5l with 300s (1) cores
% 0.95/1.64 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.95/1.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.95/1.64 % SinE strategy is gf120_h_gu_RUU_F100_L00500
% 0.95/1.64 % Search class: FGHSM-FSLS32-DFFFFFNN
% 0.95/1.64 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.95/1.64 % Starting SubtermCWHack with 28s (1) cores
% 0.95/1.64 % SubtermCWHack with pid 901187 completed with status 0
% 0.95/1.65 % Result found by SubtermCWHack
% 0.95/1.65 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.95/1.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/1.65 % Starting new_bool_3 with 900s (3) cores
% 0.95/1.65 % Starting new_bool_1 with 900s (3) cores
% 0.95/1.65 % Starting sh5l with 300s (1) cores
% 0.95/1.65 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.95/1.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.95/1.65 % SinE strategy is gf120_h_gu_RUU_F100_L00500
% 0.95/1.65 % Search class: FGHSM-FSLS32-DFFFFFNN
% 0.95/1.65 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.95/1.65 % Starting SubtermCWHack with 28s (1) cores
% 0.95/1.65 % Preprocessing time : 0.021 s
% 0.95/1.65
% 0.95/1.65 % Proof found!
% 0.95/1.65 % SZS status Theorem
% 0.95/1.65 % SZS output start CNFRefutation
% See solution above
% 0.95/1.65 % Parsed axioms : 7867
% 0.95/1.65 % Removed by relevancy pruning/SinE : 7366
% 0.95/1.65 % Initial clauses : 955
% 0.95/1.65 % Removed in clause preprocessing : 23
% 0.95/1.65 % Initial clauses in saturation : 932
% 0.95/1.65 % Processed clauses : 3521
% 0.95/1.65 % ...of these trivial : 113
% 0.95/1.65 % ...subsumed : 2737
% 0.95/1.65 % ...remaining for further processing : 671
% 0.95/1.65 % Other redundant clauses eliminated : 195
% 0.95/1.65 % Clauses deleted for lack of memory : 0
% 0.95/1.65 % Backward-subsumed : 9
% 0.95/1.65 % Backward-rewritten : 7
% 0.95/1.65 % Generated clauses : 12016
% 0.95/1.65 % ...of the previous two non-redundant : 6684
% 0.95/1.65 % ...aggressively subsumed : 0
% 0.95/1.65 % Contextual simplify-reflections : 0
% 0.95/1.65 % Paramodulations : 11822
% 0.95/1.65 % Factorizations : 4
% 0.95/1.65 % NegExts : 0
% 0.95/1.65 % Equation resolutions : 205
% 0.95/1.65 % Disequality decompositions : 0
% 0.95/1.65 % Total rewrite steps : 6565
% 0.95/1.65 % ...of those cached : 6069
% 0.95/1.65 % Propositional unsat checks : 0
% 0.95/1.65 % Propositional check models : 0
% 0.95/1.65 % Propositional check unsatisfiable : 0
% 0.95/1.65 % Propositional clauses : 0
% 0.95/1.65 % Propositional clauses after purity: 0
% 0.95/1.65 % Propositional unsat core size : 0
% 0.95/1.65 % Propositional preprocessing time : 0.000
% 0.95/1.65 % Propositional encoding time : 0.000
% 0.95/1.65 % Propositional solver time : 0.000
% 0.95/1.65 % Success case prop preproc time : 0.000
% 0.95/1.65 % Success case prop encoding time : 0.000
% 0.95/1.65 % Success case prop solver time : 0.000
% 0.95/1.65 % Current number of processed clauses : 574
% 0.95/1.65 % Positive orientable unit clauses : 196
% 0.95/1.65 % Positive unorientable unit clauses: 7
% 0.95/1.65 % Negative unit clauses : 58
% 0.95/1.65 % Non-unit-clauses : 313
% 0.95/1.65 % Current number of unprocessed clauses: 4091
% 0.95/1.65 % ...number of literals in the above : 10495
% 0.95/1.65 % Current number of archived formulas : 0
% 0.95/1.65 % Current number of archived clauses : 16
% 0.95/1.65 % Clause-clause subsumption calls (NU) : 55114
% 0.95/1.65 % Rec. Clause-clause subsumption calls : 48459
% 0.95/1.65 % Non-unit clause-clause subsumptions : 1896
% 0.95/1.65 % Unit Clause-clause subsumption calls : 3557
% 0.95/1.65 % Rewrite failures with RHS unbound : 0
% 0.95/1.65 % BW rewrite match attempts : 236
% 0.95/1.65 % BW rewrite match successes : 52
% 0.95/1.65 % Condensation attempts : 0
% 0.95/1.65 % Condensation successes : 0
% 0.95/1.65 % Termbank termtop insertions : 278180
% 0.95/1.65 % Search garbage collected termcells : 85101
% 0.95/1.65
% 0.95/1.65 % -------------------------------------------------
% 0.95/1.65 % User time : 0.358 s
% 0.95/1.65 % System time : 0.057 s
% 0.95/1.65 % Total time : 0.415 s
% 0.95/1.65 % Maximum resident set size: 23592 pages
% 0.95/1.65
% 0.95/1.65 % -------------------------------------------------
% 0.95/1.65 % User time : 1.090 s
% 0.95/1.65 % System time : 0.104 s
% 0.95/1.65 % Total time : 1.194 s
% 0.95/1.65 % Maximum resident set size: 21760 pages
% 0.95/1.65 % E exiting
%------------------------------------------------------------------------------