%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM850+1 : 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 : n004.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 0.11s 0.44s
% Output : CNFRefutation 0.11s
% 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,
! [X63,X64] :
( less(X64,X63)
<=> ? [X65] : X63 = vplus(X64,X65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X59,X60] :
( greater(X59,X60)
=> less(X60,X59) ),
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,
! [X95] : vd470 != vplus(vd471,X95),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,plain,
! [X165,X166,X168,X169,X170] :
( ( less(X169,X168)
| X168 != vplus(X169,X170) )
& ( X165 = vplus(X166,esk4_2(X165,X166))
| ~ less(X166,X165) ) ),
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,
! [X140,X141] :
( less(X141,X140)
| ~ greater(X140,X141) ),
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
% 0.00/0.02 % Problem : NUM850+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n004.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 03:13:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 0.11/0.44 % Version: 3.5.1
% 0.11/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44 % Starting sh5l with 300s (1) cores
% 0.11/0.44 % new_bool_3 with pid 2121049 completed with status 0
% 0.11/0.44 % Result found by new_bool_3
% 0.11/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.44 % Search class: FGHSS-FFMF22-SFFFFFNN
% 0.11/0.44 % partial match(1): FGHSS-FFMF32-SFFFFFNN
% 0.11/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.44 % SubtermCWHack with pid 2121052 completed with status 0
% 0.11/0.44 % Result found by SubtermCWHack
% 0.11/0.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/0.44 % Search class: FGHSS-FFMF22-SFFFFFNN
% 0.11/0.44 % partial match(1): FGHSS-FFMF32-SFFFFFNN
% 0.11/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.44 % Preprocessing time : 0.001 s
% 0.11/0.44
% 0.11/0.44 % Proof found!
% 0.11/0.44 % SZS status Theorem
% 0.11/0.44 % SZS output start CNFRefutation
% See solution above
% 0.11/0.44 % Parsed axioms : 52
% 0.11/0.44 % Removed by relevancy pruning/SinE : 25
% 0.11/0.44 % Initial clauses : 29
% 0.11/0.44 % Removed in clause preprocessing : 1
% 0.11/0.44 % Initial clauses in saturation : 28
% 0.11/0.44 % Processed clauses : 78
% 0.11/0.44 % ...of these trivial : 12
% 0.11/0.44 % ...subsumed : 22
% 0.11/0.44 % ...remaining for further processing : 44
% 0.11/0.44 % Other redundant clauses eliminated : 11
% 0.11/0.44 % Clauses deleted for lack of memory : 0
% 0.11/0.44 % Backward-subsumed : 0
% 0.11/0.44 % Backward-rewritten : 0
% 0.11/0.44 % Generated clauses : 159
% 0.11/0.44 % ...of the previous two non-redundant : 130
% 0.11/0.44 % ...aggressively subsumed : 0
% 0.11/0.44 % Contextual simplify-reflections : 0
% 0.11/0.44 % Paramodulations : 146
% 0.11/0.44 % Factorizations : 0
% 0.11/0.44 % NegExts : 0
% 0.11/0.44 % Equation resolutions : 13
% 0.11/0.44 % Disequality decompositions : 0
% 0.11/0.44 % Total rewrite steps : 34
% 0.11/0.44 % ...of those cached : 13
% 0.11/0.44 % Propositional unsat checks : 0
% 0.11/0.44 % Propositional check models : 0
% 0.11/0.44 % Propositional check unsatisfiable : 0
% 0.11/0.44 % Propositional clauses : 0
% 0.11/0.44 % Propositional clauses after purity: 0
% 0.11/0.44 % Propositional unsat core size : 0
% 0.11/0.44 % Propositional preprocessing time : 0.000
% 0.11/0.44 % Propositional encoding time : 0.000
% 0.11/0.44 % Propositional solver time : 0.000
% 0.11/0.44 % Success case prop preproc time : 0.000
% 0.11/0.44 % Success case prop encoding time : 0.000
% 0.11/0.44 % Success case prop solver time : 0.000
% 0.11/0.44 % Current number of processed clauses : 37
% 0.11/0.44 % Positive orientable unit clauses : 12
% 0.11/0.44 % Positive unorientable unit clauses: 1
% 0.11/0.44 % Negative unit clauses : 14
% 0.11/0.44 % Non-unit-clauses : 10
% 0.11/0.44 % Current number of unprocessed clauses: 79
% 0.11/0.44 % ...number of literals in the above : 142
% 0.11/0.44 % Current number of archived formulas : 0
% 0.11/0.44 % Current number of archived clauses : 0
% 0.11/0.44 % Clause-clause subsumption calls (NU) : 6
% 0.11/0.44 % Rec. Clause-clause subsumption calls : 6
% 0.11/0.44 % Non-unit clause-clause subsumptions : 0
% 0.11/0.44 % Unit Clause-clause subsumption calls : 11
% 0.11/0.44 % Rewrite failures with RHS unbound : 0
% 0.11/0.44 % BW rewrite match attempts : 9
% 0.11/0.44 % BW rewrite match successes : 4
% 0.11/0.44 % Condensation attempts : 0
% 0.11/0.44 % Condensation successes : 0
% 0.11/0.44 % Termbank termtop insertions : 2800
% 0.11/0.44 % Search garbage collected termcells : 587
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.005 s
% 0.11/0.44 % System time : 0.003 s
% 0.11/0.44 % Total time : 0.008 s
% 0.11/0.44 % Maximum resident set size: 3704 pages
% 0.11/0.44
% 0.11/0.44 % -------------------------------------------------
% 0.11/0.44 % User time : 0.008 s
% 0.11/0.44 % System time : 0.007 s
% 0.11/0.44 % Total time : 0.014 s
% 0.11/0.44 % Maximum resident set size: 4608 pages
% 0.11/0.45 % E exiting
%------------------------------------------------------------------------------