%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR026+2 : 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 : n015.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 12:15:56 PM UTC 2026
% Result : Theorem 0.19s 0.51s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 12 |; 3 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query76,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query76) ).
fof(ax1_440,axiom,
! [X10] :
( ( runningshorts(X10)
& mtvisible(c_tptp_member2701_mt) )
=> tptpofobject(X10,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_440) ).
fof(ax1_1123,axiom,
! [X20,X21] :
( ( genlmt(X20,X21)
& mtvisible(X20) )
=> mtvisible(X21) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).
fof(ax1_163,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_163) ).
fof(ax1_364,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_364) ).
fof(ax1_344,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_344) ).
fof(ax1_315,axiom,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_315) ).
fof(ax1_254,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).
fof(c_0_8,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(assume_negation,[status(cth)],[query76]) ).
fof(c_0_9,negated_conjecture,
( ~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_10,plain,
! [X25] :
( tptpofobject(X25,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X25)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_440])])]) ).
fof(c_0_11,plain,
! [X33,X34] :
( mtvisible(X34)
| ~ genlmt(X33,X34)
| ~ mtvisible(X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1123])])]) ).
cnf(c_0_12,negated_conjecture,
~ tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( ~ runningshorts(X1)
| ~ mtvisible(c_tptp_member2701_mt)
| tptpofobject(X1,f_tptpquantityfn_2(n_756)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_163])]) ).
cnf(c_0_15,plain,
( ~ genlmt(X1,X2)
| ~ mtvisible(X1)
| mtvisible(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
inference(split_conjunct,[status(thm)],[ax1_364]) ).
cnf(c_0_17,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,negated_conjecture,
( ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(c_tptprunningshorts) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,plain,
( ~ mtvisible(c_cyclistsmt)
| runningshorts(c_tptprunningshorts) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(split_conjunct,[status(thm)],[ax1_344]) ).
cnf(c_0_21,plain,
genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
inference(split_conjunct,[status(thm)],[ax1_315]) ).
cnf(c_0_22,plain,
mtvisible(c_tptp_member3993_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_23,negated_conjecture,
( ~ mtvisible(c_cyclistsmt)
| ~ mtvisible(c_tptp_member2701_mt) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
mtvisible(c_tptp_member2701_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_17])]) ).
cnf(c_0_25,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(split_conjunct,[status(thm)],[ax1_254]) ).
cnf(c_0_26,plain,
mtvisible(c_tptp_spindleheadmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_21]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
~ mtvisible(c_cyclistsmt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
cnf(c_0_28,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_25]),c_0_26])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR026+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 14:27:51 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
% 0.19/0.51 % Version: 3.5.1
% 0.19/0.51 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.19/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.19/0.51 % Starting new_bool_3 with 600s (2) cores
% 0.19/0.51 % Starting new_bool_1 with 600s (2) cores
% 0.19/0.51 % Starting sh5l with 300s (1) cores
% 0.19/0.51 % sh5l with pid 1695876 completed with status 0
% 0.19/0.51 % Result found by sh5l
% 0.19/0.51 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.19/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.19/0.51 % Starting new_bool_3 with 600s (2) cores
% 0.19/0.51 % Starting new_bool_1 with 600s (2) cores
% 0.19/0.51 % Starting sh5l with 300s (1) cores
% 0.19/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.51 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.51 % Search class: FHHNM-FSLM31-SFFFFFNN
% 0.19/0.51 % partial match(2): FHHNM-SSLM31-MFFFFFNN
% 0.19/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.51 % SubtermCWHack with pid 1695884 completed with status 0
% 0.19/0.51 % Result found by SubtermCWHack
% 0.19/0.51 % Preprocessing class: FMLMSMSLSSSNFFN.
% 0.19/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51 % Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.19/0.51 % Starting new_bool_3 with 600s (2) cores
% 0.19/0.51 % Starting new_bool_1 with 600s (2) cores
% 0.19/0.51 % Starting sh5l with 300s (1) cores
% 0.19/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.51 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.51 % Search class: FHHNM-FSLM31-SFFFFFNN
% 0.19/0.51 % partial match(2): FHHNM-SSLM31-MFFFFFNN
% 0.19/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51 % Starting SubtermCWHack with 31s (1) cores
% 0.19/0.51 % Preprocessing time : 0.006 s
% 0.19/0.51
% 0.19/0.51 % Proof found!
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 % SZS output start CNFRefutation
% See solution above
% 0.19/0.51 % Parsed axioms : 1132
% 0.19/0.51 % Removed by relevancy pruning/SinE : 749
% 0.19/0.51 % Initial clauses : 384
% 0.19/0.51 % Removed in clause preprocessing : 0
% 0.19/0.51 % Initial clauses in saturation : 384
% 0.19/0.51 % Processed clauses : 731
% 0.19/0.51 % ...of these trivial : 38
% 0.19/0.51 % ...subsumed : 10
% 0.19/0.51 % ...remaining for further processing : 682
% 0.19/0.51 % Other redundant clauses eliminated : 0
% 0.19/0.51 % Clauses deleted for lack of memory : 0
% 0.19/0.51 % Backward-subsumed : 12
% 0.19/0.51 % Backward-rewritten : 17
% 0.19/0.51 % Generated clauses : 873
% 0.19/0.51 % ...of the previous two non-redundant : 506
% 0.19/0.51 % ...aggressively subsumed : 0
% 0.19/0.51 % Contextual simplify-reflections : 0
% 0.19/0.51 % Paramodulations : 873
% 0.19/0.51 % Factorizations : 0
% 0.19/0.51 % NegExts : 0
% 0.19/0.51 % Equation resolutions : 0
% 0.19/0.51 % Disequality decompositions : 0
% 0.19/0.51 % Total rewrite steps : 378
% 0.19/0.51 % ...of those cached : 241
% 0.19/0.51 % Propositional unsat checks : 0
% 0.19/0.51 % Propositional check models : 0
% 0.19/0.51 % Propositional check unsatisfiable : 0
% 0.19/0.51 % Propositional clauses : 0
% 0.19/0.51 % Propositional clauses after purity: 0
% 0.19/0.51 % Propositional unsat core size : 0
% 0.19/0.51 % Propositional preprocessing time : 0.000
% 0.19/0.51 % Propositional encoding time : 0.000
% 0.19/0.51 % Propositional solver time : 0.000
% 0.19/0.51 % Success case prop preproc time : 0.000
% 0.19/0.51 % Success case prop encoding time : 0.000
% 0.19/0.51 % Success case prop solver time : 0.000
% 0.19/0.51 % Current number of processed clauses : 653
% 0.19/0.51 % Positive orientable unit clauses : 406
% 0.19/0.51 % Positive unorientable unit clauses: 0
% 0.19/0.51 % Negative unit clauses : 35
% 0.19/0.51 % Non-unit-clauses : 212
% 0.19/0.51 % Current number of unprocessed clauses: 159
% 0.19/0.51 % ...number of literals in the above : 299
% 0.19/0.51 % Current number of archived formulas : 0
% 0.19/0.51 % Current number of archived clauses : 29
% 0.19/0.51 % Clause-clause subsumption calls (NU) : 11211
% 0.19/0.51 % Rec. Clause-clause subsumption calls : 10559
% 0.19/0.51 % Non-unit clause-clause subsumptions : 11
% 0.19/0.51 % Unit Clause-clause subsumption calls : 6261
% 0.19/0.51 % Rewrite failures with RHS unbound : 0
% 0.19/0.51 % BW rewrite match attempts : 6
% 0.19/0.51 % BW rewrite match successes : 6
% 0.19/0.51 % Condensation attempts : 0
% 0.19/0.51 % Condensation successes : 0
% 0.19/0.51 % Termbank termtop insertions : 29840
% 0.19/0.51 % Search garbage collected termcells : 5536
% 0.19/0.51
% 0.19/0.51 % -------------------------------------------------
% 0.19/0.51 % User time : 0.045 s
% 0.19/0.51 % System time : 0.012 s
% 0.19/0.51 % Total time : 0.057 s
% 0.19/0.51 % Maximum resident set size: 6604 pages
% 0.19/0.51
% 0.19/0.51 % -------------------------------------------------
% 0.19/0.51 % User time : 0.061 s
% 0.19/0.51 % System time : 0.018 s
% 0.19/0.51 % Total time : 0.079 s
% 0.19/0.51 % Maximum resident set size: 5888 pages
% 0.19/0.51 % E exiting
%------------------------------------------------------------------------------