%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP383_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 12:55:29 PM UTC 2026
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
'C_update_a_update_fun$': $tType ).
tff(decl_sort2,type,
'C_update_a_update_fun_bool_fun$': $tType ).
tff(decl_sort3,type,
'D_update_a_update_fun$': $tType ).
tff(decl_sort4,type,
'D_update_a_update_fun_bool_fun$': $tType ).
tff(decl_32,type,
'register$': 'C_update_a_update_fun_bool_fun$' ).
tff(decl_173,type,
'fun_app$k': ( 'C_update_a_update_fun$' * 'C_update_a_update_fun_bool_fun$' ) > $o ).
tff(decl_187,type,
'g$': 'C_update_a_update_fun$' ).
tff(decl_315,type,
'compatible$': 'C_update_a_update_fun$' > 'D_update_a_update_fun_bool_fun$' ).
tff(decl_416,type,
'h$': 'D_update_a_update_fun$' ).
tff(decl_692,type,
'fun_app$j': ( 'D_update_a_update_fun$' * 'D_update_a_update_fun_bool_fun$' ) > $o ).
tff(conjecture59,conjecture,
'fun_app$k'('register$','g$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture59) ).
tff(axiom66,axiom,
! [X119: 'C_update_a_update_fun$',X120: 'D_update_a_update_fun$'] :
( 'fun_app$j'('compatible$'(X119),X120)
=> 'fun_app$k'('register$',X119) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom66) ).
tff(axiom60,axiom,
'fun_app$j'('compatible$'('g$'),'h$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom60) ).
tff(c_0_3,negated_conjecture,
~ 'fun_app$k'('register$','g$'),
inference(assume_negation,[status(cth)],[conjecture59]) ).
tff(c_0_4,negated_conjecture,
~ 'fun_app$k'('register$','g$'),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
tff(c_0_5,plain,
! [X2220: 'C_update_a_update_fun$',X2221: 'D_update_a_update_fun$'] :
( 'fun_app$k'('register$',X2220)
| ~ 'fun_app$j'('compatible$'(X2220),X2221) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom66])])]) ).
tff(c_0_6,negated_conjecture,
~ 'fun_app$k'('register$','g$'),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
! [X11: 'C_update_a_update_fun$',X9: 'D_update_a_update_fun$'] :
( ~ 'fun_app$j'('compatible$'(X11),X9)
| 'fun_app$k'('register$',X11) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_8,plain,
'fun_app$j'('compatible$'('g$'),'h$'),
inference(split_conjunct,[status(thm)],[axiom60]) ).
tcf(c_0_9,negated_conjecture,
~ 'fun_app$k'('register$','g$'),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP383_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 22:40:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.20/0.48 % Version: 3.5.1
% 0.20/0.48 % partial match(1): FMLMSMSMSSSNFFN
% 0.20/0.48 % Preprocessing class: FMLMSMLMSSSNFFN.
% 0.20/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.48 % Starting sh5l with 300s (1) cores
% 0.20/0.48 % new_bool_1 with pid 945931 completed with status 0
% 0.20/0.48 % Result found by new_bool_1
% 0.20/0.48 % partial match(1): FMLMSMSMSSSNFFN
% 0.20/0.48 % Preprocessing class: FMLMSMLMSSSNFFN.
% 0.20/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48 % Search class: FHUSM-FFMM21-MFFFFFNN
% 0.20/0.48 % partial match(1): FHUSM-FFMF21-MFFFFFNN
% 0.20/0.48 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.48 % SubtermCWHack with pid 945934 completed with status 0
% 0.20/0.48 % Result found by SubtermCWHack
% 0.20/0.48 % partial match(1): FMLMSMSMSSSNFFN
% 0.20/0.48 % Preprocessing class: FMLMSMLMSSSNFFN.
% 0.20/0.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48 % Starting new_bool_3 with 300s (1) cores
% 0.20/0.48 % Starting new_bool_1 with 300s (1) cores
% 0.20/0.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.20/0.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48 % Search class: FHUSM-FFMM21-MFFFFFNN
% 0.20/0.48 % partial match(1): FHUSM-FFMF21-MFFFFFNN
% 0.20/0.48 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.48 % Preprocessing time : 0.003 s
% 0.20/0.48
% 0.20/0.48 % Proof found!
% 0.20/0.48 % SZS status Theorem
% 0.20/0.48 % SZS output start CNFRefutation
% See solution above
% 0.20/0.48 % Parsed axioms : 1627
% 0.20/0.48 % Removed by relevancy pruning/SinE : 1567
% 0.20/0.48 % Initial clauses : 66
% 0.20/0.48 % Removed in clause preprocessing : 3
% 0.20/0.48 % Initial clauses in saturation : 63
% 0.20/0.48 % Processed clauses : 15
% 0.20/0.48 % ...of these trivial : 0
% 0.20/0.48 % ...subsumed : 1
% 0.20/0.48 % ...remaining for further processing : 14
% 0.20/0.48 % Other redundant clauses eliminated : 0
% 0.20/0.48 % Clauses deleted for lack of memory : 0
% 0.20/0.48 % Backward-subsumed : 0
% 0.20/0.48 % Backward-rewritten : 0
% 0.20/0.48 % Generated clauses : 3
% 0.20/0.48 % ...of the previous two non-redundant : 2
% 0.20/0.48 % ...aggressively subsumed : 0
% 0.20/0.48 % Contextual simplify-reflections : 0
% 0.20/0.48 % Paramodulations : 3
% 0.20/0.48 % Factorizations : 0
% 0.20/0.48 % NegExts : 0
% 0.20/0.48 % Equation resolutions : 0
% 0.20/0.48 % Disequality decompositions : 0
% 0.20/0.48 % Total rewrite steps : 0
% 0.20/0.48 % ...of those cached : 0
% 0.20/0.48 % Propositional unsat checks : 0
% 0.20/0.48 % Propositional check models : 0
% 0.20/0.48 % Propositional check unsatisfiable : 0
% 0.20/0.48 % Propositional clauses : 0
% 0.20/0.48 % Propositional clauses after purity: 0
% 0.20/0.48 % Propositional unsat core size : 0
% 0.20/0.48 % Propositional preprocessing time : 0.000
% 0.20/0.48 % Propositional encoding time : 0.000
% 0.20/0.48 % Propositional solver time : 0.000
% 0.20/0.48 % Success case prop preproc time : 0.000
% 0.20/0.48 % Success case prop encoding time : 0.000
% 0.20/0.48 % Success case prop solver time : 0.000
% 0.20/0.48 % Current number of processed clauses : 14
% 0.20/0.48 % Positive orientable unit clauses : 8
% 0.20/0.48 % Positive unorientable unit clauses: 0
% 0.20/0.48 % Negative unit clauses : 1
% 0.20/0.48 % Non-unit-clauses : 5
% 0.20/0.48 % Current number of unprocessed clauses: 50
% 0.20/0.48 % ...number of literals in the above : 101
% 0.20/0.48 % Current number of archived formulas : 0
% 0.20/0.48 % Current number of archived clauses : 0
% 0.20/0.48 % Clause-clause subsumption calls (NU) : 5
% 0.20/0.48 % Rec. Clause-clause subsumption calls : 5
% 0.20/0.48 % Non-unit clause-clause subsumptions : 1
% 0.20/0.48 % Unit Clause-clause subsumption calls : 0
% 0.20/0.48 % Rewrite failures with RHS unbound : 0
% 0.20/0.48 % BW rewrite match attempts : 0
% 0.20/0.48 % BW rewrite match successes : 0
% 0.20/0.48 % Condensation attempts : 0
% 0.20/0.48 % Condensation successes : 0
% 0.20/0.48 % Termbank termtop insertions : 16306
% 0.20/0.48 % Search garbage collected termcells : 9219
% 0.20/0.48
% 0.20/0.48 % -------------------------------------------------
% 0.20/0.48 % User time : 0.013 s
% 0.20/0.48 % System time : 0.008 s
% 0.20/0.48 % Total time : 0.021 s
% 0.20/0.48 % Maximum resident set size: 7312 pages
% 0.20/0.48
% 0.20/0.48 % -------------------------------------------------
% 0.20/0.48 % User time : 0.041 s
% 0.20/0.48 % System time : 0.011 s
% 0.20/0.48 % Total time : 0.052 s
% 0.20/0.48 % Maximum resident set size: 7168 pages
% 0.20/0.48 % E exiting
%------------------------------------------------------------------------------