%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR068+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 : n026.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 12:16:28 PM UTC 2026
% Result : Theorem 0.13s 0.67s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 12 ~; 9 |; 3 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query68,conjecture,
( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query68) ).
fof(just47,axiom,
! [X16,X17] :
( ( genlmt(X16,X17)
& mtvisible(X16) )
=> mtvisible(X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just47) ).
fof(just9,axiom,
! [X1] :
( ( furpelt(X1)
& mtvisible(c_tptp_spindleheadmt) )
=> tptpofobject(X1,f_tptpquantityfn_1(n_328)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(just7,axiom,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just7) ).
fof(just8,axiom,
furpelt(c_theprototypicalfurpelt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
fof(c_0_5,negated_conjecture,
~ ( mtvisible(c_tptp_member2356_mt)
=> tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)) ),
inference(assume_negation,[status(cth)],[query68]) ).
fof(c_0_6,plain,
! [X19,X20] :
( mtvisible(X20)
| ~ genlmt(X19,X20)
| ~ mtvisible(X19) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just47])])]) ).
fof(c_0_7,negated_conjecture,
( ~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328))
& mtvisible(c_tptp_member2356_mt) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
fof(c_0_8,plain,
! [X18] :
( tptpofobject(X18,f_tptpquantityfn_1(n_328))
| ~ furpelt(X18)
| ~ mtvisible(c_tptp_spindleheadmt) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just9])])]) ).
cnf(c_0_9,plain,
( ~ genlmt(X1,X2)
| ~ mtvisible(X1)
| mtvisible(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
genlmt(c_tptp_member2356_mt,c_tptp_spindleheadmt),
inference(split_conjunct,[status(thm)],[just7]) ).
cnf(c_0_11,negated_conjecture,
mtvisible(c_tptp_member2356_mt),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ furpelt(X1)
| ~ mtvisible(c_tptp_spindleheadmt)
| tptpofobject(X1,f_tptpquantityfn_1(n_328)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
mtvisible(c_tptp_spindleheadmt),
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,
~ tptpofobject(c_theprototypicalfurpelt,f_tptpquantityfn_1(n_328)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( ~ furpelt(X1)
| tptpofobject(X1,f_tptpquantityfn_1(n_328)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]) ).
cnf(c_0_16,plain,
furpelt(c_theprototypicalfurpelt),
inference(split_conjunct,[status(thm)],[just8]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR068+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.59 % Computer : n026.cluster.edu
% 0.10/0.59 % Model : x86_64 x86_64
% 0.10/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.59 % Memory : 8046.5625MB
% 0.10/0.59 % OS : Linux 6.8.0-71-generic
% 0.10/0.60 % CPULimit : 300
% 0.10/0.60 % WCLimit : 300
% 0.10/0.60 % DateTime : Mon Sep 21 14:46:08 UTC 2026
% 0.10/0.60 % CPUTime :
% 0.10/0.60 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.64 Running first-order theorem proving
% 0.13/0.64 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
% 0.13/0.67 % Version: 3.5.1
% 0.13/0.67 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.67 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.67 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.67 % Starting sh5l with 300s (1) cores
% 0.13/0.67 % new_bool_1 with pid 2533614 completed with status 0
% 0.13/0.67 % Result found by new_bool_1
% 0.13/0.67 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.67 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.67 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.67 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.67 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.67 % Search class: FHUNF-FFSS11-SFFFFFNN
% 0.13/0.67 % partial match(1): FHUNF-FFSF11-SFFFFFNN
% 0.13/0.67 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.67 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.67 % SubtermCWHack with pid 2533616 completed with status 0
% 0.13/0.67 % Result found by SubtermCWHack
% 0.13/0.67 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.67 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.67 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.13/0.67 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.67 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.67 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.67 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.67 % Search class: FHUNF-FFSS11-SFFFFFNN
% 0.13/0.67 % partial match(1): FHUNF-FFSF11-SFFFFFNN
% 0.13/0.67 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.67 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.67 % Preprocessing time : 0.001 s
% 0.13/0.67
% 0.13/0.67 % Proof found!
% 0.13/0.67 % SZS status Theorem
% 0.13/0.67 % SZS output start CNFRefutation
% See solution above
% 0.13/0.67 % Parsed axioms : 56
% 0.13/0.67 % Removed by relevancy pruning/SinE : 48
% 0.13/0.67 % Initial clauses : 9
% 0.13/0.67 % Removed in clause preprocessing : 0
% 0.13/0.67 % Initial clauses in saturation : 9
% 0.13/0.67 % Processed clauses : 9
% 0.13/0.67 % ...of these trivial : 0
% 0.13/0.67 % ...subsumed : 0
% 0.13/0.67 % ...remaining for further processing : 9
% 0.13/0.67 % Other redundant clauses eliminated : 0
% 0.13/0.67 % Clauses deleted for lack of memory : 0
% 0.13/0.67 % Backward-subsumed : 0
% 0.13/0.67 % Backward-rewritten : 0
% 0.13/0.67 % Generated clauses : 3
% 0.13/0.67 % ...of the previous two non-redundant : 1
% 0.13/0.67 % ...aggressively subsumed : 0
% 0.13/0.67 % Contextual simplify-reflections : 0
% 0.13/0.67 % Paramodulations : 3
% 0.13/0.67 % Factorizations : 0
% 0.13/0.67 % NegExts : 0
% 0.13/0.67 % Equation resolutions : 0
% 0.13/0.67 % Disequality decompositions : 0
% 0.13/0.67 % Total rewrite steps : 3
% 0.13/0.67 % ...of those cached : 0
% 0.13/0.67 % Propositional unsat checks : 0
% 0.13/0.67 % Propositional check models : 0
% 0.13/0.67 % Propositional check unsatisfiable : 0
% 0.13/0.67 % Propositional clauses : 0
% 0.13/0.67 % Propositional clauses after purity: 0
% 0.13/0.67 % Propositional unsat core size : 0
% 0.13/0.67 % Propositional preprocessing time : 0.000
% 0.13/0.67 % Propositional encoding time : 0.000
% 0.13/0.67 % Propositional solver time : 0.000
% 0.13/0.67 % Success case prop preproc time : 0.000
% 0.13/0.67 % Success case prop encoding time : 0.000
% 0.13/0.67 % Success case prop solver time : 0.000
% 0.13/0.67 % Current number of processed clauses : 9
% 0.13/0.67 % Positive orientable unit clauses : 4
% 0.13/0.67 % Positive unorientable unit clauses: 0
% 0.13/0.67 % Negative unit clauses : 1
% 0.13/0.67 % Non-unit-clauses : 4
% 0.13/0.67 % Current number of unprocessed clauses: 1
% 0.13/0.67 % ...number of literals in the above : 3
% 0.13/0.67 % Current number of archived formulas : 0
% 0.13/0.67 % Current number of archived clauses : 0
% 0.13/0.67 % Clause-clause subsumption calls (NU) : 0
% 0.13/0.67 % Rec. Clause-clause subsumption calls : 0
% 0.13/0.67 % Non-unit clause-clause subsumptions : 0
% 0.13/0.67 % Unit Clause-clause subsumption calls : 0
% 0.13/0.67 % Rewrite failures with RHS unbound : 0
% 0.13/0.67 % BW rewrite match attempts : 0
% 0.13/0.67 % BW rewrite match successes : 0
% 0.13/0.67 % Condensation attempts : 0
% 0.13/0.67 % Condensation successes : 0
% 0.13/0.67 % Termbank termtop insertions : 846
% 0.13/0.67 % Search garbage collected termcells : 326
% 0.13/0.67
% 0.13/0.67 % -------------------------------------------------
% 0.13/0.67 % User time : 0.004 s
% 0.13/0.67 % System time : 0.000 s
% 0.13/0.67 % Total time : 0.004 s
% 0.13/0.67 % Maximum resident set size: 3688 pages
% 0.13/0.67
% 0.13/0.67 % -------------------------------------------------
% 0.13/0.67 % User time : 0.008 s
% 0.13/0.67 % System time : 0.003 s
% 0.13/0.67 % Total time : 0.011 s
% 0.13/0.67 % Maximum resident set size: 4608 pages
% 0.13/0.67 % E exiting
%------------------------------------------------------------------------------