%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM850+2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 01:50:50 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 22 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 5 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qe(conseq_conjunct1(conseq(302)))',conjecture,
? [X1] : vd470 = vplus(vd471,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(conseq_conjunct1(conseq(302)))') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X61,X62] :
( less(X62,X61)
<=> ? [X63] : X61 = vplus(X62,X63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X57,X58] :
( greater(X57,X58)
=> less(X58,X57) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof('holds(antec(302), 472, 0)',axiom,
greater(vd470,vd471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(302), 472, 0)') ).
fof(c_0_4,negated_conjecture,
~ ? [X1] : vd470 = vplus(vd471,X1),
inference(assume_negation,[status(cth)],['qe(conseq_conjunct1(conseq(302)))']) ).
fof(c_0_5,negated_conjecture,
! [X93] : vd470 != vplus(vd471,X93),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,plain,
! [X163,X164,X166,X167,X168] :
( ( less(X167,X166)
| X166 != vplus(X167,X168) )
& ( X163 = vplus(X164,esk4_2(X163,X164))
| ~ less(X164,X163) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 12), 1)'])])])])])]) ).
cnf(c_0_7,negated_conjecture,
vd470 != vplus(vd471,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ less(X1,X2)
| X2 = vplus(X1,esk4_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X138,X139] :
( less(X139,X138)
| ~ greater(X138,X139) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])])]) ).
cnf(c_0_10,negated_conjecture,
~ less(vd471,vd470),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_11,plain,
( ~ greater(X1,X2)
| less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
greater(vd470,vd471),
inference(split_conjunct,[status(thm)],['holds(antec(302), 472, 0)']) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM850+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:15:00 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.41 % Version: 3.5.1
% 0.14/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.41 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.41 % Starting sh5l with 300s (1) cores
% 0.14/0.41 % new_bool_3 with pid 3278242 completed with status 0
% 0.14/0.41 % Result found by new_bool_3
% 0.14/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.41 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.41 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.41 % Search class: FGHSS-FFMF22-SFFFFFNN
% 0.14/0.41 % partial match(1): FGHSS-FFMF32-SFFFFFNN
% 0.14/0.41 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.41 % SubtermCWHack with pid 3278245 completed with status 0
% 0.14/0.41 % Result found by SubtermCWHack
% 0.14/0.41 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.41 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.41 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.41 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.41 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.41 % Search class: FGHSS-FFMF22-SFFFFFNN
% 0.14/0.41 % partial match(1): FGHSS-FFMF32-SFFFFFNN
% 0.14/0.41 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.41 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.41 % Preprocessing time : 0.001 s
% 0.14/0.41
% 0.14/0.41 % Proof found!
% 0.14/0.41 % SZS status Theorem
% 0.14/0.41 % SZS output start CNFRefutation
% See solution above
% 0.14/0.41 % Parsed axioms : 51
% 0.14/0.41 % Removed by relevancy pruning/SinE : 24
% 0.14/0.41 % Initial clauses : 29
% 0.14/0.41 % Removed in clause preprocessing : 1
% 0.14/0.41 % Initial clauses in saturation : 28
% 0.14/0.41 % Processed clauses : 78
% 0.14/0.41 % ...of these trivial : 12
% 0.14/0.41 % ...subsumed : 22
% 0.14/0.41 % ...remaining for further processing : 44
% 0.14/0.41 % Other redundant clauses eliminated : 11
% 0.14/0.41 % Clauses deleted for lack of memory : 0
% 0.14/0.41 % Backward-subsumed : 0
% 0.14/0.41 % Backward-rewritten : 0
% 0.14/0.41 % Generated clauses : 158
% 0.14/0.41 % ...of the previous two non-redundant : 129
% 0.14/0.41 % ...aggressively subsumed : 0
% 0.14/0.41 % Contextual simplify-reflections : 0
% 0.14/0.41 % Paramodulations : 145
% 0.14/0.41 % Factorizations : 0
% 0.14/0.41 % NegExts : 0
% 0.14/0.41 % Equation resolutions : 13
% 0.14/0.41 % Disequality decompositions : 0
% 0.14/0.41 % Total rewrite steps : 34
% 0.14/0.41 % ...of those cached : 13
% 0.14/0.41 % Propositional unsat checks : 0
% 0.14/0.41 % Propositional check models : 0
% 0.14/0.41 % Propositional check unsatisfiable : 0
% 0.14/0.41 % Propositional clauses : 0
% 0.14/0.41 % Propositional clauses after purity: 0
% 0.14/0.41 % Propositional unsat core size : 0
% 0.14/0.41 % Propositional preprocessing time : 0.000
% 0.14/0.41 % Propositional encoding time : 0.000
% 0.14/0.41 % Propositional solver time : 0.000
% 0.14/0.41 % Success case prop preproc time : 0.000
% 0.14/0.41 % Success case prop encoding time : 0.000
% 0.14/0.41 % Success case prop solver time : 0.000
% 0.14/0.41 % Current number of processed clauses : 37
% 0.14/0.41 % Positive orientable unit clauses : 12
% 0.14/0.41 % Positive unorientable unit clauses: 1
% 0.14/0.41 % Negative unit clauses : 14
% 0.14/0.41 % Non-unit-clauses : 10
% 0.14/0.41 % Current number of unprocessed clauses: 78
% 0.14/0.41 % ...number of literals in the above : 140
% 0.14/0.41 % Current number of archived formulas : 0
% 0.14/0.41 % Current number of archived clauses : 0
% 0.14/0.41 % Clause-clause subsumption calls (NU) : 6
% 0.14/0.41 % Rec. Clause-clause subsumption calls : 6
% 0.14/0.41 % Non-unit clause-clause subsumptions : 0
% 0.14/0.41 % Unit Clause-clause subsumption calls : 11
% 0.14/0.41 % Rewrite failures with RHS unbound : 0
% 0.14/0.41 % BW rewrite match attempts : 9
% 0.14/0.41 % BW rewrite match successes : 4
% 0.14/0.41 % Condensation attempts : 0
% 0.14/0.41 % Condensation successes : 0
% 0.14/0.41 % Termbank termtop insertions : 2791
% 0.14/0.41 % Search garbage collected termcells : 580
% 0.14/0.41
% 0.14/0.41 % -------------------------------------------------
% 0.14/0.41 % User time : 0.005 s
% 0.14/0.41 % System time : 0.002 s
% 0.14/0.41 % Total time : 0.007 s
% 0.14/0.41 % Maximum resident set size: 3668 pages
% 0.14/0.41
% 0.14/0.41 % -------------------------------------------------
% 0.14/0.41 % User time : 0.008 s
% 0.14/0.41 % System time : 0.006 s
% 0.14/0.41 % Total time : 0.014 s
% 0.14/0.41 % Maximum resident set size: 4608 pages
% 0.14/0.41 % E exiting
%------------------------------------------------------------------------------