%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR070+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:16:30 PM UTC 2026
% Result : Theorem 36.00s 31.86s
% Output : CNFRefutation 36.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 7 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 20 ~; 17 |; 2 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax4_66602,axiom,
! [X2,X3] :
( tptptypes_8_823(X2,X3)
=> tptptypes_7_819(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_66602) ).
fof(ax4_170778,axiom,
! [X2,X3] :
( tptptypes_9_824(X2,X3)
=> tptptypes_8_823(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_170778) ).
fof(query270,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query270) ).
fof(ax4_198111,axiom,
! [X2,X3] :
( tptptypes_7_819(X2,X3)
=> tptptypes_6_818(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_198111) ).
fof(ax4_540220,axiom,
! [X28,X29] :
( ( genlmt(X28,X29)
& mtvisible(X28) )
=> mtvisible(X29) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_540220) ).
fof(ax4_10501,axiom,
! [X2,X3] :
( tptptypes_6_818(X2,X3)
=> tptptypes_5_802(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_10501) ).
fof(ax4_87455,axiom,
( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_87455) ).
fof(ax4_235953,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_235953) ).
fof(c_0_8,plain,
! [X305,X306] :
( tptptypes_7_819(X305,X306)
| ~ tptptypes_8_823(X305,X306) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_66602])])]) ).
fof(c_0_9,plain,
! [X105,X106] :
( tptptypes_8_823(X105,X106)
| ~ tptptypes_9_824(X105,X106) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_170778])])]) ).
fof(c_0_10,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(assume_negation,[status(cth)],[query270]) ).
fof(c_0_11,plain,
! [X70,X71] :
( tptptypes_6_818(X70,X71)
| ~ tptptypes_7_819(X70,X71) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_198111])])]) ).
cnf(c_0_12,plain,
( ~ tptptypes_8_823(X1,X2)
| tptptypes_7_819(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( ~ tptptypes_9_824(X1,X2)
| tptptypes_8_823(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X294,X295] :
( mtvisible(X295)
| ~ genlmt(X294,X295)
| ~ mtvisible(X294) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_540220])])]) ).
fof(c_0_15,negated_conjecture,
( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
& mtvisible(c_tptp_spindlecollectormt) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_16,plain,
! [X32,X33] :
( tptptypes_5_802(X32,X33)
| ~ tptptypes_6_818(X32,X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_10501])])]) ).
cnf(c_0_17,plain,
( ~ tptptypes_7_819(X1,X2)
| tptptypes_6_818(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( ~ tptptypes_9_824(X1,X2)
| tptptypes_7_819(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_19,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_87455])]) ).
cnf(c_0_20,plain,
( ~ genlmt(X1,X2)
| ~ mtvisible(X1)
| mtvisible(X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(split_conjunct,[status(thm)],[ax4_235953]) ).
cnf(c_0_22,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( ~ tptptypes_6_818(X1,X2)
| tptptypes_5_802(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( ~ tptptypes_9_824(X1,X2)
| tptptypes_6_818(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,plain,
( ~ mtvisible(c_tptp_member2668_mt)
| tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
mtvisible(c_tptp_member2668_mt),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,plain,
( ~ tptptypes_9_824(X1,X2)
| tptptypes_5_802(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR070+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/10.49 % Computer : n008.cluster.edu
% 0.19/10.49 % Model : x86_64 x86_64
% 0.19/10.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/10.49 % Memory : 8046.5625MB
% 0.19/10.49 % OS : Linux 6.8.0-71-generic
% 0.19/10.49 % CPULimit : 300
% 0.19/10.49 % WCLimit : 300
% 0.19/10.49 % DateTime : Mon Sep 21 14:46:06 UTC 2026
% 0.19/10.49 % CPUTime :
% 0.19/10.49 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/10.56 Running first-order theorem proving
% 0.25/10.56 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 36.00/31.86 % Version: 3.5.1
% 36.00/31.86 % Preprocessing class: FLLLLMLLSSSNFFN.
% 36.00/31.86 % Scheduled 4 strats onto 8 cores with 285 seconds (2280 total)
% 36.00/31.86 % Starting new_ho_10 with 570s (2) cores
% 36.00/31.86 % Starting sh3 with 570s (2) cores
% 36.00/31.86 % Starting ho_unfolding_3 with 570s (2) cores
% 36.00/31.86 % Starting new_ho_10_cnf2 with 570s (2) cores
% 36.00/31.86 % sh3 with pid 1236752 completed with status 0
% 36.00/31.86 % Result found by sh3
% 36.00/31.86 % Preprocessing class: FLLLLMLLSSSNFFN.
% 36.00/31.86 % Scheduled 4 strats onto 8 cores with 285 seconds (2280 total)
% 36.00/31.86 % Starting new_ho_10 with 570s (2) cores
% 36.00/31.86 % Starting sh3 with 570s (2) cores
% 36.00/31.86 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 36.00/31.86 % SinE strategy is gf500_h_gu_R04_F100_L20000
% 36.00/31.86 % Search class: FHHSM-SSLM31-MFFFFFNN
% 36.00/31.86 % partial match(1): FHHNM-SSLM31-MFFFFFNN
% 36.00/31.86 % Scheduled 7 strats onto 2 cores with 566 seconds (566 total)
% 36.00/31.86 % Starting SubtermCWHack with 51s (1) cores
% 36.00/31.86 % Starting sh3 with 57s (1) cores
% 36.00/31.86 % SubtermCWHack with pid 1237072 completed with status 0
% 36.00/31.86 % Result found by SubtermCWHack
% 36.00/31.86 % Preprocessing class: FLLLLMLLSSSNFFN.
% 36.00/31.86 % Scheduled 4 strats onto 8 cores with 285 seconds (2280 total)
% 36.00/31.86 % Starting new_ho_10 with 570s (2) cores
% 36.00/31.86 % Starting sh3 with 570s (2) cores
% 36.00/31.86 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 36.00/31.86 % SinE strategy is gf500_h_gu_R04_F100_L20000
% 36.00/31.86 % Search class: FHHSM-SSLM31-MFFFFFNN
% 36.00/31.86 % partial match(1): FHHNM-SSLM31-MFFFFFNN
% 36.00/31.86 % Scheduled 7 strats onto 2 cores with 566 seconds (566 total)
% 36.00/31.86 % Starting SubtermCWHack with 51s (1) cores
% 36.00/31.86 % Preprocessing time : 0.247 s
% 36.00/31.86
% 36.00/31.86 % Proof found!
% 36.00/31.86 % SZS status Theorem
% 36.00/31.86 % SZS output start CNFRefutation
% See solution above
% 36.00/31.86 % Parsed axioms : 540250
% 36.00/31.86 % Removed by relevancy pruning/SinE : 538556
% 36.00/31.86 % Initial clauses : 1695
% 36.00/31.86 % Removed in clause preprocessing : 2
% 36.00/31.86 % Initial clauses in saturation : 1693
% 36.00/31.86 % Processed clauses : 5270
% 36.00/31.86 % ...of these trivial : 293
% 36.00/31.86 % ...subsumed : 1010
% 36.00/31.86 % ...remaining for further processing : 3966
% 36.00/31.86 % Other redundant clauses eliminated : 1
% 36.00/31.86 % Clauses deleted for lack of memory : 0
% 36.00/31.86 % Backward-subsumed : 21
% 36.00/31.86 % Backward-rewritten : 79
% 36.00/31.86 % Generated clauses : 17761
% 36.00/31.86 % ...of the previous two non-redundant : 13888
% 36.00/31.86 % ...aggressively subsumed : 0
% 36.00/31.86 % Contextual simplify-reflections : 0
% 36.00/31.86 % Paramodulations : 17760
% 36.00/31.86 % Factorizations : 0
% 36.00/31.86 % NegExts : 0
% 36.00/31.86 % Equation resolutions : 1
% 36.00/31.86 % Disequality decompositions : 0
% 36.00/31.86 % Total rewrite steps : 2840
% 36.00/31.86 % ...of those cached : 2127
% 36.00/31.86 % Propositional unsat checks : 0
% 36.00/31.86 % Propositional check models : 0
% 36.00/31.86 % Propositional check unsatisfiable : 0
% 36.00/31.86 % Propositional clauses : 0
% 36.00/31.86 % Propositional clauses after purity: 0
% 36.00/31.86 % Propositional unsat core size : 0
% 36.00/31.86 % Propositional preprocessing time : 0.000
% 36.00/31.86 % Propositional encoding time : 0.000
% 36.00/31.86 % Propositional solver time : 0.000
% 36.00/31.86 % Success case prop preproc time : 0.000
% 36.00/31.86 % Success case prop encoding time : 0.000
% 36.00/31.86 % Success case prop solver time : 0.000
% 36.00/31.86 % Current number of processed clauses : 3865
% 36.00/31.86 % Positive orientable unit clauses : 1834
% 36.00/31.86 % Positive unorientable unit clauses: 0
% 36.00/31.86 % Negative unit clauses : 602
% 36.00/31.86 % Non-unit-clauses : 1429
% 36.00/31.86 % Current number of unprocessed clauses: 10278
% 36.00/31.86 % ...number of literals in the above : 20710
% 36.00/31.86 % Current number of archived formulas : 0
% 36.00/31.86 % Current number of archived clauses : 100
% 36.00/31.86 % Clause-clause subsumption calls (NU) : 252665
% 36.00/31.86 % Rec. Clause-clause subsumption calls : 206893
% 36.00/31.86 % Non-unit clause-clause subsumptions : 334
% 36.00/31.86 % Unit Clause-clause subsumption calls : 347682
% 36.00/31.86 % Rewrite failures with RHS unbound : 0
% 36.00/31.86 % BW rewrite match attempts : 268
% 36.00/31.86 % BW rewrite match successes : 80
% 36.00/31.86 % Condensation attempts : 0
% 36.00/31.86 % Condensation successes : 0
% 36.00/31.86 % Termbank termtop insertions : 3870559
% 36.00/31.86 % Search garbage collected termcells : 2172625
% 36.00/31.86
% 36.00/31.86 % -------------------------------------------------
% 36.00/31.86 % User time : 3.775 s
% 36.00/31.86 % System time : 1.740 s
% 36.00/31.86 % Total time : 5.516 s
% 36.00/31.86 % Maximum resident set size: 1242144 pages
% 36.00/31.86
% 36.00/31.86 % -------------------------------------------------
% 36.00/31.86 % User time : 18.868 s
% 36.00/31.86 % System time : 3.021 s
% 36.00/31.86 % Total time : 21.889 s
% 36.00/31.86 % Maximum resident set size: 456960 pages
% 36.00/31.86 % E exiting
%------------------------------------------------------------------------------