%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 12:15:57 PM UTC 2026
% Result : Theorem 0.14s 0.60s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 56 ( 24 ~; 19 |; 6 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 29 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query27,conjecture,
? [X13] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X13)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27) ).
fof(just63,axiom,
! [X19,X20] :
( ( genlmt(X19,X20)
& mtvisible(X19) )
=> mtvisible(X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
fof(just12,axiom,
! [X1] :
( ( isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
& mtvisible(c_tptp_member2610_mt) )
=> tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(just9,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(just14,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
fof(just34,axiom,
! [X13] :
( isa(X13,c_tptpcol_16_31868)
=> tptpcol_16_31868(X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(just13,axiom,
( mtvisible(c_tptp_member2610_mt)
=> relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
fof(just1,axiom,
! [X1,X2,X3,X4] :
( ( relationallexists(X3,X2,X4)
& isa(X1,X2) )
=> isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(c_0_8,negated_conjecture,
~ ? [X13] :
( mtvisible(c_tptp_spindlecollectormt)
=> ( tptpcol_16_31868(X13)
& tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X13) ) ),
inference(assume_negation,[status(cth)],[query27]) ).
fof(c_0_9,plain,
! [X27,X28] :
( mtvisible(X28)
| ~ genlmt(X27,X28)
| ~ mtvisible(X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just63])])]) ).
fof(c_0_10,negated_conjecture,
! [X22] :
( ( ~ tptpcol_16_31868(X22)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X22) )
& mtvisible(c_tptp_spindlecollectormt) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,plain,
! [X37] :
( tptp_8_875(X37,f_relationallexistsfn(X37,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
| ~ isa(X37,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just12])])]) ).
cnf(c_0_12,plain,
( ~ genlmt(X1,X2)
| ~ mtvisible(X1)
| mtvisible(X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(split_conjunct,[status(thm)],[just9]) ).
cnf(c_0_14,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| ~ mtvisible(c_tptp_member2610_mt)
| tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
mtvisible(c_tptp_member2610_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
( ~ tptpcol_16_31868(X1)
| ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
| tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_19,plain,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(split_conjunct,[status(thm)],[just14]) ).
fof(c_0_20,plain,
! [X23] :
( tptpcol_16_31868(X23)
| ~ isa(X23,c_tptpcol_16_31868) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just34])])]) ).
fof(c_0_21,plain,
( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
| ~ mtvisible(c_tptp_member2610_mt) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[just13])]) ).
cnf(c_0_22,negated_conjecture,
~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_23,plain,
( ~ isa(X1,c_tptpcol_16_31868)
| tptpcol_16_31868(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,plain,
! [X52,X53,X54,X55] :
( isa(f_relationallexistsfn(X52,X54,X53,X55),X55)
| ~ relationallexists(X54,X53,X55)
| ~ isa(X52,X53) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just1])])]) ).
cnf(c_0_25,plain,
( ~ mtvisible(c_tptp_member2610_mt)
| relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
~ isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( ~ relationallexists(X3,X2,X4)
| ~ isa(X1,X2)
| isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_16])]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR027+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.53 % Computer : n007.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Mon Sep 21 14:22:50 UTC 2026
% 0.10/0.53 % CPUTime :
% 0.10/0.53 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.58 Running first-order theorem proving
% 0.14/0.58 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
% 0.14/0.60 % Version: 3.5.1
% 0.14/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.60 % Starting sh5l with 300s (1) cores
% 0.14/0.60 % new_bool_3 with pid 1325622 completed with status 0
% 0.14/0.60 % Result found by new_bool_3
% 0.14/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.60 % Search class: FHHNF-FFSM33-SFFFFFNN
% 0.14/0.60 % partial match(2): FGHNF-FFMM33-SFFFFFNN
% 0.14/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.60 % SubtermCWHack with pid 1325630 completed with status 0
% 0.14/0.60 % Result found by SubtermCWHack
% 0.14/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.60 % Search class: FHHNF-FFSM33-SFFFFFNN
% 0.14/0.60 % partial match(2): FGHNF-FFMM33-SFFFFFNN
% 0.14/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.60 % Preprocessing time : 0.002 s
% 0.14/0.60
% 0.14/0.60 % Proof found!
% 0.14/0.60 % SZS status Theorem
% 0.14/0.60 % SZS output start CNFRefutation
% See solution above
% 0.14/0.60 % Parsed axioms : 80
% 0.14/0.60 % Removed by relevancy pruning/SinE : 56
% 0.14/0.60 % Initial clauses : 25
% 0.14/0.60 % Removed in clause preprocessing : 0
% 0.14/0.60 % Initial clauses in saturation : 25
% 0.14/0.60 % Processed clauses : 52
% 0.14/0.60 % ...of these trivial : 0
% 0.14/0.60 % ...subsumed : 7
% 0.14/0.60 % ...remaining for further processing : 45
% 0.14/0.60 % Other redundant clauses eliminated : 0
% 0.14/0.60 % Clauses deleted for lack of memory : 0
% 0.14/0.60 % Backward-subsumed : 0
% 0.14/0.60 % Backward-rewritten : 0
% 0.14/0.60 % Generated clauses : 42
% 0.14/0.60 % ...of the previous two non-redundant : 28
% 0.14/0.60 % ...aggressively subsumed : 0
% 0.14/0.60 % Contextual simplify-reflections : 0
% 0.14/0.60 % Paramodulations : 42
% 0.14/0.60 % Factorizations : 0
% 0.14/0.60 % NegExts : 0
% 0.14/0.60 % Equation resolutions : 0
% 0.14/0.60 % Disequality decompositions : 0
% 0.14/0.60 % Total rewrite steps : 21
% 0.14/0.60 % ...of those cached : 12
% 0.14/0.60 % Propositional unsat checks : 0
% 0.14/0.60 % Propositional check models : 0
% 0.14/0.60 % Propositional check unsatisfiable : 0
% 0.14/0.60 % Propositional clauses : 0
% 0.14/0.60 % Propositional clauses after purity: 0
% 0.14/0.60 % Propositional unsat core size : 0
% 0.14/0.60 % Propositional preprocessing time : 0.000
% 0.14/0.60 % Propositional encoding time : 0.000
% 0.14/0.60 % Propositional solver time : 0.000
% 0.14/0.60 % Success case prop preproc time : 0.000
% 0.14/0.60 % Success case prop encoding time : 0.000
% 0.14/0.60 % Success case prop solver time : 0.000
% 0.14/0.60 % Current number of processed clauses : 45
% 0.14/0.60 % Positive orientable unit clauses : 15
% 0.14/0.60 % Positive unorientable unit clauses: 0
% 0.14/0.60 % Negative unit clauses : 2
% 0.14/0.60 % Non-unit-clauses : 28
% 0.14/0.60 % Current number of unprocessed clauses: 1
% 0.14/0.60 % ...number of literals in the above : 3
% 0.14/0.60 % Current number of archived formulas : 0
% 0.14/0.60 % Current number of archived clauses : 0
% 0.14/0.60 % Clause-clause subsumption calls (NU) : 187
% 0.14/0.60 % Rec. Clause-clause subsumption calls : 179
% 0.14/0.60 % Non-unit clause-clause subsumptions : 7
% 0.14/0.60 % Unit Clause-clause subsumption calls : 18
% 0.14/0.60 % Rewrite failures with RHS unbound : 0
% 0.14/0.60 % BW rewrite match attempts : 0
% 0.14/0.60 % BW rewrite match successes : 0
% 0.14/0.60 % Condensation attempts : 0
% 0.14/0.60 % Condensation successes : 0
% 0.14/0.60 % Termbank termtop insertions : 2353
% 0.14/0.60 % Search garbage collected termcells : 522
% 0.14/0.60
% 0.14/0.60 % -------------------------------------------------
% 0.14/0.60 % User time : 0.007 s
% 0.14/0.60 % System time : 0.001 s
% 0.14/0.60 % Total time : 0.008 s
% 0.14/0.60 % Maximum resident set size: 3716 pages
% 0.14/0.60
% 0.14/0.60 % -------------------------------------------------
% 0.14/0.60 % User time : 0.011 s
% 0.14/0.60 % System time : 0.004 s
% 0.14/0.60 % Total time : 0.015 s
% 0.14/0.60 % Maximum resident set size: 4864 pages
% 0.14/0.60 % E exiting
%------------------------------------------------------------------------------