%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM298+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 : 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 01:44:38 PM UTC 2026
% Result : Theorem 0.14s 0.47s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 36 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 37 ( 19 ~; 10 |; 5 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 22 ( 3 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(less_property,axiom,
! [X1,X2] :
( less(X1,X2)
<=> ( X2 != X1
& ~ less(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).
fof(n2_not_less_nn2,conjecture,
~ less(n2,nn2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n2_not_less_nn2) ).
fof(less_entry_point_neg_pos,axiom,
! [X1,X2,X10,X11] :
( ( rdn_translate(X2,rdn_pos(X11))
& rdn_translate(X1,rdn_neg(X10)) )
=> less(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_pos) ).
fof(rdn2,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn2) ).
fof(rdnn2,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
fof(c_0_5,plain,
! [X1,X2] :
( less(X1,X2)
<=> ( X2 != X1
& ~ less(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
fof(c_0_6,negated_conjecture,
~ ~ less(n2,nn2),
inference(assume_negation,[status(cth)],[n2_not_less_nn2]) ).
fof(c_0_7,plain,
! [X37,X38,X39,X40] :
( less(X37,X38)
| ~ rdn_translate(X38,rdn_pos(X40))
| ~ rdn_translate(X37,rdn_neg(X39)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_neg_pos])])]) ).
fof(c_0_8,plain,
! [X45,X46] :
( ( less(X45,X46)
| X46 = X45
| less(X46,X45) )
& ( ~ less(X45,X46)
| X46 != X45 )
& ( ~ less(X45,X46)
| ~ less(X46,X45) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_9,negated_conjecture,
less(n2,nn2),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_neg(X2))
| less(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdn2]) ).
cnf(c_0_12,plain,
( ~ less(X2,X1)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
less(n2,nn2),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( ~ rdn_translate(X1,rdn_neg(X2))
| less(X1,n2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdnn2]) ).
cnf(c_0_16,negated_conjecture,
~ less(nn2,n2),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM298+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.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
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 02:19:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 0.14/0.47 % Version: 3.5.1
% 0.14/0.47 % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.14/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.14/0.47 % Starting new_bool_3 with 600s (2) cores
% 0.14/0.47 % Starting new_bool_1 with 600s (2) cores
% 0.14/0.47 % Starting sh5l with 300s (1) cores
% 0.14/0.47 % new_bool_3 with pid 4152981 completed with status 0
% 0.14/0.47 % Result found by new_bool_3
% 0.14/0.47 % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.14/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.14/0.47 % Starting new_bool_3 with 600s (2) cores
% 0.14/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.47 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.14/0.47 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.14/0.47 % Starting SubtermCWHack with 55s (1) cores
% 0.14/0.47 % Starting new_bool_3 with 61s (1) cores
% 0.14/0.47 % SubtermCWHack with pid 4152984 completed with status 0
% 0.14/0.47 % Result found by SubtermCWHack
% 0.14/0.47 % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.14/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.47 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.14/0.47 % Starting new_bool_3 with 600s (2) cores
% 0.14/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.47 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.14/0.47 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.14/0.47 % Starting SubtermCWHack with 55s (1) cores
% 0.14/0.47 % Preprocessing time : 0.004 s
% 0.14/0.47
% 0.14/0.47 % Proof found!
% 0.14/0.47 % SZS status Theorem
% 0.14/0.47 % SZS output start CNFRefutation
% See solution above
% 0.14/0.47 % Parsed axioms : 402
% 0.14/0.47 % Removed by relevancy pruning/SinE : 275
% 0.14/0.47 % Initial clauses : 129
% 0.14/0.47 % Removed in clause preprocessing : 0
% 0.14/0.47 % Initial clauses in saturation : 129
% 0.14/0.47 % Processed clauses : 57
% 0.14/0.47 % ...of these trivial : 0
% 0.14/0.47 % ...subsumed : 0
% 0.14/0.47 % ...remaining for further processing : 57
% 0.14/0.47 % Other redundant clauses eliminated : 1
% 0.14/0.47 % Clauses deleted for lack of memory : 0
% 0.14/0.47 % Backward-subsumed : 0
% 0.14/0.47 % Backward-rewritten : 0
% 0.14/0.47 % Generated clauses : 44
% 0.14/0.47 % ...of the previous two non-redundant : 37
% 0.14/0.47 % ...aggressively subsumed : 0
% 0.14/0.47 % Contextual simplify-reflections : 0
% 0.14/0.47 % Paramodulations : 41
% 0.14/0.47 % Factorizations : 2
% 0.14/0.47 % NegExts : 0
% 0.14/0.47 % Equation resolutions : 1
% 0.14/0.47 % Disequality decompositions : 0
% 0.14/0.47 % Total rewrite steps : 2
% 0.14/0.47 % ...of those cached : 1
% 0.14/0.47 % Propositional unsat checks : 0
% 0.14/0.47 % Propositional check models : 0
% 0.14/0.47 % Propositional check unsatisfiable : 0
% 0.14/0.47 % Propositional clauses : 0
% 0.14/0.47 % Propositional clauses after purity: 0
% 0.14/0.47 % Propositional unsat core size : 0
% 0.14/0.47 % Propositional preprocessing time : 0.000
% 0.14/0.47 % Propositional encoding time : 0.000
% 0.14/0.47 % Propositional solver time : 0.000
% 0.14/0.47 % Success case prop preproc time : 0.000
% 0.14/0.47 % Success case prop encoding time : 0.000
% 0.14/0.47 % Success case prop solver time : 0.000
% 0.14/0.47 % Current number of processed clauses : 56
% 0.14/0.47 % Positive orientable unit clauses : 34
% 0.14/0.47 % Positive unorientable unit clauses: 0
% 0.14/0.47 % Negative unit clauses : 9
% 0.14/0.47 % Non-unit-clauses : 13
% 0.14/0.47 % Current number of unprocessed clauses: 109
% 0.14/0.47 % ...number of literals in the above : 136
% 0.14/0.47 % Current number of archived formulas : 0
% 0.14/0.47 % Current number of archived clauses : 0
% 0.14/0.47 % Clause-clause subsumption calls (NU) : 33
% 0.14/0.47 % Rec. Clause-clause subsumption calls : 27
% 0.14/0.47 % Non-unit clause-clause subsumptions : 0
% 0.14/0.47 % Unit Clause-clause subsumption calls : 90
% 0.14/0.47 % Rewrite failures with RHS unbound : 0
% 0.14/0.47 % BW rewrite match attempts : 0
% 0.14/0.47 % BW rewrite match successes : 0
% 0.14/0.47 % Condensation attempts : 0
% 0.14/0.47 % Condensation successes : 0
% 0.14/0.47 % Termbank termtop insertions : 8784
% 0.14/0.47 % Search garbage collected termcells : 1544
% 0.14/0.47
% 0.14/0.47 % -------------------------------------------------
% 0.14/0.47 % User time : 0.011 s
% 0.14/0.47 % System time : 0.007 s
% 0.14/0.47 % Total time : 0.017 s
% 0.14/0.47 % Maximum resident set size: 4508 pages
% 0.14/0.47
% 0.14/0.47 % -------------------------------------------------
% 0.14/0.47 % User time : 0.022 s
% 0.14/0.47 % System time : 0.015 s
% 0.14/0.47 % Total time : 0.037 s
% 0.14/0.47 % Maximum resident set size: 4864 pages
% 0.14/0.47 % E exiting
%------------------------------------------------------------------------------