%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM837+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 : n002.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 01:56:41 PM UTC 2026
% Result : Theorem 0.21s 10.52s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 15 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn 8 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qe(171)',conjecture,
? [X1] : vd269 = vplus(vd268,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(171)') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X16,X17] :
( less(X17,X16)
<=> ? [X18] : X16 = vplus(X17,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('holds(conjunct1(170), 270, 0)',axiom,
less(vd268,vd269),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(170), 270, 0)') ).
fof(c_0_3,negated_conjecture,
~ ? [X1] : vd269 = vplus(vd268,X1),
inference(assume_negation,[status(cth)],['qe(171)']) ).
fof(c_0_4,plain,
! [X55,X56,X58,X59,X60] :
( ( less(X59,X58)
| X58 != vplus(X59,X60) )
& ( X55 = vplus(X56,esk1_2(X55,X56))
| ~ less(X56,X55) ) ),
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)'])])])])])]) ).
fof(c_0_5,negated_conjecture,
! [X34] : vd269 != vplus(vd268,X34),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
cnf(c_0_6,plain,
( ~ less(X1,X2)
| X2 = vplus(X1,esk1_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
less(vd268,vd269),
inference(split_conjunct,[status(thm)],['holds(conjunct1(170), 270, 0)']) ).
cnf(c_0_8,negated_conjecture,
vd269 != vplus(vd268,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM837+2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/10.46 % Computer : n002.cluster.edu
% 0.18/10.46 % Model : x86_64 x86_64
% 0.18/10.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.46 % Memory : 8046.5625MB
% 0.18/10.46 % OS : Linux 6.8.0-71-generic
% 0.18/10.46 % CPULimit : 300
% 0.18/10.46 % WCLimit : 300
% 0.18/10.46 % DateTime : Mon Sep 21 03:15:15 UTC 2026
% 0.18/10.46 % CPUTime :
% 0.18/10.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/10.50 Running first-order theorem proving
% 0.21/10.50 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
% 0.21/10.52 % Version: 3.5.1
% 0.21/10.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/10.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/10.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/10.52 % Starting new_bool_3 with 300s (1) cores
% 0.21/10.52 % Starting new_bool_1 with 300s (1) cores
% 0.21/10.52 % Starting sh5l with 300s (1) cores
% 0.21/10.52 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2303229 completed with status 0
% 0.21/10.52 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/10.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/10.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/10.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/10.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/10.52 % No SInE strategy applied
% 0.21/10.52 % Search class: FGHSS-FFMF22-SFFFFFNN
% 0.21/10.52 % partial match(1): FGHSS-FFMF32-SFFFFFNN
% 0.21/10.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/10.52 % Starting SubtermCWHack with 136s (1) cores
% 0.21/10.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/10.52 % Starting G-E--_207_B07_F1_AE_CS_SP_PS_S0Y with 253s (1) cores
% 0.21/10.52 % Starting new_bool_3 with 248s (1) cores
% 0.21/10.52 % Starting new_bool_1 with 241s (1) cores
% 0.21/10.52 % new_bool_1 with pid 2303237 completed with status 0
% 0.21/10.52 % Result found by new_bool_1
% 0.21/10.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/10.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/10.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/10.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/10.52 % No SInE strategy applied
% 0.21/10.52 % Search class: FGHSS-FFMF22-SFFFFFNN
% 0.21/10.52 % partial match(1): FGHSS-FFMF32-SFFFFFNN
% 0.21/10.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/10.52 % Starting SubtermCWHack with 136s (1) cores
% 0.21/10.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/10.52 % Starting G-E--_207_B07_F1_AE_CS_SP_PS_S0Y with 253s (1) cores
% 0.21/10.52 % Starting new_bool_3 with 248s (1) cores
% 0.21/10.52 % Starting new_bool_1 with 241s (1) cores
% 0.21/10.52 % Preprocessing time : 0.001 s
% 0.21/10.52 % Presaturation interreduction done
% 0.21/10.52
% 0.21/10.52 % Proof found!
% 0.21/10.52 % SZS status Theorem
% 0.21/10.52 % SZS output start CNFRefutation
% See solution above
% 0.21/10.52 % Parsed axioms : 22
% 0.21/10.52 % Removed by relevancy pruning/SinE : 0
% 0.21/10.52 % Initial clauses : 29
% 0.21/10.52 % Removed in clause preprocessing : 1
% 0.21/10.52 % Initial clauses in saturation : 28
% 0.21/10.52 % Processed clauses : 72
% 0.21/10.52 % ...of these trivial : 1
% 0.21/10.52 % ...subsumed : 3
% 0.21/10.52 % ...remaining for further processing : 68
% 0.21/10.52 % Other redundant clauses eliminated : 9
% 0.21/10.52 % Clauses deleted for lack of memory : 0
% 0.21/10.52 % Backward-subsumed : 0
% 0.21/10.52 % Backward-rewritten : 2
% 0.21/10.52 % Generated clauses : 50
% 0.21/10.52 % ...of the previous two non-redundant : 36
% 0.21/10.52 % ...aggressively subsumed : 0
% 0.21/10.52 % Contextual simplify-reflections : 0
% 0.21/10.52 % Paramodulations : 40
% 0.21/10.52 % Factorizations : 0
% 0.21/10.52 % NegExts : 0
% 0.21/10.52 % Equation resolutions : 10
% 0.21/10.52 % Disequality decompositions : 0
% 0.21/10.52 % Total rewrite steps : 23
% 0.21/10.52 % ...of those cached : 6
% 0.21/10.52 % Propositional unsat checks : 0
% 0.21/10.52 % Propositional check models : 0
% 0.21/10.52 % Propositional check unsatisfiable : 0
% 0.21/10.52 % Propositional clauses : 0
% 0.21/10.52 % Propositional clauses after purity: 0
% 0.21/10.52 % Propositional unsat core size : 0
% 0.21/10.52 % Propositional preprocessing time : 0.000
% 0.21/10.52 % Propositional encoding time : 0.000
% 0.21/10.52 % Propositional solver time : 0.000
% 0.21/10.52 % Success case prop preproc time : 0.000
% 0.21/10.52 % Success case prop encoding time : 0.000
% 0.21/10.52 % Success case prop solver time : 0.000
% 0.21/10.52 % Current number of processed clauses : 32
% 0.21/10.52 % Positive orientable unit clauses : 12
% 0.21/10.52 % Positive unorientable unit clauses: 0
% 0.21/10.52 % Negative unit clauses : 9
% 0.21/10.52 % Non-unit-clauses : 11
% 0.21/10.52 % Current number of unprocessed clauses: 17
% 0.21/10.52 % ...number of literals in the above : 25
% 0.21/10.52 % Current number of archived formulas : 0
% 0.21/10.52 % Current number of archived clauses : 28
% 0.21/10.52 % Clause-clause subsumption calls (NU) : 6
% 0.21/10.52 % Rec. Clause-clause subsumption calls : 6
% 0.21/10.52 % Non-unit clause-clause subsumptions : 0
% 0.21/10.52 % Unit Clause-clause subsumption calls : 9
% 0.21/10.52 % Rewrite failures with RHS unbound : 0
% 0.21/10.52 % BW rewrite match attempts : 2
% 0.21/10.52 % BW rewrite match successes : 2
% 0.21/10.52 % Condensation attempts : 0
% 0.21/10.52 % Condensation successes : 0
% 0.21/10.52 % Termbank termtop insertions : 2025
% 0.21/10.52 % Search garbage collected termcells : 341
% 0.21/10.52
% 0.21/10.52 % -------------------------------------------------
% 0.21/10.52 % User time : 0.004 s
% 0.21/10.52 % System time : 0.002 s
% 0.21/10.52 % Total time : 0.006 s
% 0.21/10.52 % Maximum resident set size: 3608 pages
% 0.21/10.52
% 0.21/10.52 % -------------------------------------------------
% 0.21/10.52 % User time : 0.015 s
% 0.21/10.52 % System time : 0.012 s
% 0.21/10.52 % Total time : 0.028 s
% 0.21/10.52 % Maximum resident set size: 4864 pages
% 0.21/10.52 % E exiting
%------------------------------------------------------------------------------