%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM301+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 01:44:39 PM UTC 2026
% Result : Theorem 71.14s 10.73s
% Output : CNFRefutation 71.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 7 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 19 ( 3 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(something_less_nn2,conjecture,
? [X1] : less(X1,nn2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_nn2) ).
fof(less_entry_point_neg_neg,axiom,
! [X1,X2,X10,X11] :
( ( rdn_positive_less(X11,X10)
& rdn_translate(X2,rdn_neg(X11))
& rdn_translate(X1,rdn_neg(X10)) )
=> less(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_neg) ).
fof(rdnn2,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
fof(rdn_positive_less23,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
fof(rdnn3,axiom,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn3) ).
fof(c_0_5,negated_conjecture,
~ ? [X1] : less(X1,nn2),
inference(assume_negation,[status(cth)],[something_less_nn2]) ).
fof(c_0_6,plain,
! [X57,X58,X59,X60] :
( less(X57,X58)
| ~ rdn_positive_less(X60,X59)
| ~ rdn_translate(X58,rdn_neg(X60))
| ~ rdn_translate(X57,rdn_neg(X59)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_neg_neg])])]) ).
fof(c_0_7,negated_conjecture,
! [X154] : ~ less(X154,nn2),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,plain,
( ~ rdn_positive_less(X4,X2)
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_translate(X1,rdn_neg(X2))
| less(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdnn2]) ).
cnf(c_0_10,negated_conjecture,
~ less(X1,nn2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ rdn_translate(X2,rdn_neg(X1))
| ~ rdn_positive_less(rdnn(n2),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_12,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).
cnf(c_0_13,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdnn3]) ).
cnf(c_0_14,plain,
~ rdn_translate(X1,rdn_neg(rdnn(n3))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
$false,
inference(sr,[status(thm)],[c_0_13,c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM301+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n026.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 02:23:52 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 Running first-order theorem proving
% 0.21/0.46 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
% 71.14/10.73 % Version: 3.5.1
% 71.14/10.73 % Preprocessing class: FSLMSMSLSSSNFFN.
% 71.14/10.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 71.14/10.73 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 71.14/10.73 % Starting new_bool_3 with 600s (2) cores
% 71.14/10.73 % Starting new_bool_1 with 600s (2) cores
% 71.14/10.73 % Starting sh5l with 300s (1) cores
% 71.14/10.73 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1158323 completed with status 0
% 71.14/10.73 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 71.14/10.73 % Preprocessing class: FSLMSMSLSSSNFFN.
% 71.14/10.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 71.14/10.73 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 71.14/10.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 71.14/10.73 % No SInE strategy applied
% 71.14/10.73 % Search class: FGHSF-FSLM21-MFFFFFNN
% 71.14/10.73 % Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 71.14/10.73 % Starting SubtermCWHack with 82s (1) cores
% 71.14/10.73 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 71.14/10.73 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 82s (1) cores
% 71.14/10.73 % SubtermCWHack with pid 1158332 completed with status 0
% 71.14/10.73 % Result found by SubtermCWHack
% 71.14/10.73 % Preprocessing class: FSLMSMSLSSSNFFN.
% 71.14/10.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 71.14/10.73 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 71.14/10.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 71.14/10.73 % No SInE strategy applied
% 71.14/10.73 % Search class: FGHSF-FSLM21-MFFFFFNN
% 71.14/10.73 % Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 71.14/10.73 % Starting SubtermCWHack with 82s (1) cores
% 71.14/10.73 % Preprocessing time : 0.005 s
% 71.14/10.73
% 71.14/10.73 % Proof found!
% 71.14/10.73 % SZS status Theorem
% 71.14/10.73 % SZS output start CNFRefutation
% See solution above
% 71.14/10.73 % Parsed axioms : 402
% 71.14/10.73 % Removed by relevancy pruning/SinE : 0
% 71.14/10.73 % Initial clauses : 407
% 71.14/10.73 % Removed in clause preprocessing : 0
% 71.14/10.73 % Initial clauses in saturation : 407
% 71.14/10.73 % Processed clauses : 19734
% 71.14/10.73 % ...of these trivial : 0
% 71.14/10.73 % ...subsumed : 45
% 71.14/10.73 % ...remaining for further processing : 19689
% 71.14/10.73 % Other redundant clauses eliminated : 2
% 71.14/10.73 % Clauses deleted for lack of memory : 0
% 71.14/10.73 % Backward-subsumed : 97
% 71.14/10.73 % Backward-rewritten : 0
% 71.14/10.73 % Generated clauses : 62027
% 71.14/10.73 % ...of the previous two non-redundant : 61492
% 71.14/10.73 % ...aggressively subsumed : 0
% 71.14/10.73 % Contextual simplify-reflections : 0
% 71.14/10.73 % Paramodulations : 62022
% 71.14/10.73 % Factorizations : 2
% 71.14/10.73 % NegExts : 0
% 71.14/10.73 % Equation resolutions : 2
% 71.14/10.73 % Disequality decompositions : 0
% 71.14/10.73 % Total rewrite steps : 1425
% 71.14/10.73 % ...of those cached : 1144
% 71.14/10.73 % Propositional unsat checks : 0
% 71.14/10.73 % Propositional check models : 0
% 71.14/10.73 % Propositional check unsatisfiable : 0
% 71.14/10.73 % Propositional clauses : 0
% 71.14/10.73 % Propositional clauses after purity: 0
% 71.14/10.73 % Propositional unsat core size : 0
% 71.14/10.73 % Propositional preprocessing time : 0.000
% 71.14/10.73 % Propositional encoding time : 0.000
% 71.14/10.73 % Propositional solver time : 0.000
% 71.14/10.73 % Success case prop preproc time : 0.000
% 71.14/10.73 % Success case prop encoding time : 0.000
% 71.14/10.73 % Success case prop solver time : 0.000
% 71.14/10.73 % Current number of processed clauses : 19589
% 71.14/10.73 % Positive orientable unit clauses : 13174
% 71.14/10.73 % Positive unorientable unit clauses: 0
% 71.14/10.73 % Negative unit clauses : 5471
% 71.14/10.73 % Non-unit-clauses : 944
% 71.14/10.73 % Current number of unprocessed clauses: 42165
% 71.14/10.73 % ...number of literals in the above : 80001
% 71.14/10.73 % Current number of archived formulas : 0
% 71.14/10.73 % Current number of archived clauses : 98
% 71.14/10.73 % Clause-clause subsumption calls (NU) : 254708
% 71.14/10.73 % Rec. Clause-clause subsumption calls : 188670
% 71.14/10.73 % Non-unit clause-clause subsumptions : 98
% 71.14/10.73 % Unit Clause-clause subsumption calls : 11549997
% 71.14/10.73 % Rewrite failures with RHS unbound : 0
% 71.14/10.73 % BW rewrite match attempts : 0
% 71.14/10.73 % BW rewrite match successes : 0
% 71.14/10.73 % Condensation attempts : 0
% 71.14/10.73 % Condensation successes : 0
% 71.14/10.73 % Termbank termtop insertions : 614867
% 71.14/10.73 % Search garbage collected termcells : 764
% 71.14/10.73
% 71.14/10.73 % -------------------------------------------------
% 71.14/10.73 % User time : 10.036 s
% 71.14/10.73 % System time : 0.133 s
% 71.14/10.73 % Total time : 10.169 s
% 71.14/10.73 % Maximum resident set size: 4508 pages
% 71.14/10.73
% 71.14/10.73 % -------------------------------------------------
% 71.14/10.73 % User time : 30.147 s
% 71.14/10.73 % System time : 0.397 s
% 71.14/10.73 % Total time : 30.544 s
% 71.14/10.73 % Maximum resident set size: 4864 pages
% 71.14/10.73 % E exiting
%------------------------------------------------------------------------------