%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM427+3 : TPTP v9.3.1. Released v4.0.0.
% 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 01:54:59 PM UTC 2026
% Result : Theorem 0.17s 0.50s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 29 ( 8 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 9 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( sdteqdtlpzmzozddtrp0(xb,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xa))
& aInteger0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__767,hypothesis,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__767) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(m__747,hypothesis,
( sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb))
& aInteger0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__747) ).
fof(c_0_4,negated_conjecture,
~ ( sdteqdtlpzmzozddtrp0(xb,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xa))
& aInteger0(X1) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
! [X4] :
( ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
& ( sdtasdt0(xq,X4) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X4) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_6,negated_conjecture,
( sdtasdt0(xq,X1) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_7,hypothesis,
sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)),
inference(split_conjunct,[status(thm)],[m__767]) ).
cnf(c_0_8,negated_conjecture,
( ~ aInteger0(X1)
| sdtasdt0(xq,X1) != sdtasdt0(xq,smndt0(xn)) ),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
fof(c_0_9,plain,
! [X28] :
( aInteger0(smndt0(X28))
| ~ aInteger0(X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])])]) ).
cnf(c_0_10,negated_conjecture,
~ aInteger0(smndt0(xn)),
inference(er,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,hypothesis,
aInteger0(xn),
inference(split_conjunct,[status(thm)],[m__747]) ).
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 : NUM427+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 02:31:21 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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
% 0.17/0.50 % Version: 3.5.1
% 0.17/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.50 % Starting sh5l with 300s (1) cores
% 0.17/0.50 % sh5l with pid 1171009 completed with status 0
% 0.17/0.50 % Result found by sh5l
% 0.17/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.50 % Starting sh5l with 300s (1) cores
% 0.17/0.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.17/0.50 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.50 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.17/0.50 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.50 % Starting SubtermCWHack with 28s (1) cores
% 0.17/0.50 % SubtermCWHack with pid 1171017 completed with status 0
% 0.17/0.50 % Result found by SubtermCWHack
% 0.17/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.50 % Starting sh5l with 300s (1) cores
% 0.17/0.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.17/0.50 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.50 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.17/0.50 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.50 % Starting SubtermCWHack with 28s (1) cores
% 0.17/0.50 % Preprocessing time : 0.001 s
% 0.17/0.50
% 0.17/0.50 % Proof found!
% 0.17/0.50 % SZS status Theorem
% 0.17/0.50 % SZS output start CNFRefutation
% See solution above
% 0.17/0.50 % Parsed axioms : 25
% 0.17/0.50 % Removed by relevancy pruning/SinE : 0
% 0.17/0.50 % Initial clauses : 45
% 0.17/0.50 % Removed in clause preprocessing : 1
% 0.17/0.50 % Initial clauses in saturation : 44
% 0.17/0.50 % Processed clauses : 45
% 0.17/0.50 % ...of these trivial : 0
% 0.17/0.50 % ...subsumed : 2
% 0.17/0.50 % ...remaining for further processing : 43
% 0.17/0.50 % Other redundant clauses eliminated : 1
% 0.17/0.50 % Clauses deleted for lack of memory : 0
% 0.17/0.50 % Backward-subsumed : 0
% 0.17/0.50 % Backward-rewritten : 4
% 0.17/0.50 % Generated clauses : 33
% 0.17/0.50 % ...of the previous two non-redundant : 15
% 0.17/0.50 % ...aggressively subsumed : 0
% 0.17/0.50 % Contextual simplify-reflections : 0
% 0.17/0.50 % Paramodulations : 31
% 0.17/0.50 % Factorizations : 0
% 0.17/0.50 % NegExts : 0
% 0.17/0.50 % Equation resolutions : 2
% 0.17/0.50 % Disequality decompositions : 0
% 0.17/0.50 % Total rewrite steps : 48
% 0.17/0.50 % ...of those cached : 36
% 0.17/0.50 % Propositional unsat checks : 0
% 0.17/0.50 % Propositional check models : 0
% 0.17/0.50 % Propositional check unsatisfiable : 0
% 0.17/0.50 % Propositional clauses : 0
% 0.17/0.50 % Propositional clauses after purity: 0
% 0.17/0.50 % Propositional unsat core size : 0
% 0.17/0.50 % Propositional preprocessing time : 0.000
% 0.17/0.50 % Propositional encoding time : 0.000
% 0.17/0.50 % Propositional solver time : 0.000
% 0.17/0.50 % Success case prop preproc time : 0.000
% 0.17/0.50 % Success case prop encoding time : 0.000
% 0.17/0.50 % Success case prop solver time : 0.000
% 0.17/0.50 % Current number of processed clauses : 38
% 0.17/0.50 % Positive orientable unit clauses : 15
% 0.17/0.50 % Positive unorientable unit clauses: 0
% 0.17/0.50 % Negative unit clauses : 4
% 0.17/0.50 % Non-unit-clauses : 19
% 0.17/0.50 % Current number of unprocessed clauses: 14
% 0.17/0.50 % ...number of literals in the above : 59
% 0.17/0.50 % Current number of archived formulas : 0
% 0.17/0.50 % Current number of archived clauses : 4
% 0.17/0.50 % Clause-clause subsumption calls (NU) : 28
% 0.17/0.50 % Rec. Clause-clause subsumption calls : 24
% 0.17/0.50 % Non-unit clause-clause subsumptions : 2
% 0.17/0.50 % Unit Clause-clause subsumption calls : 19
% 0.17/0.50 % Rewrite failures with RHS unbound : 0
% 0.17/0.50 % BW rewrite match attempts : 4
% 0.17/0.50 % BW rewrite match successes : 4
% 0.17/0.50 % Condensation attempts : 0
% 0.17/0.50 % Condensation successes : 0
% 0.17/0.50 % Termbank termtop insertions : 3184
% 0.17/0.50 % Search garbage collected termcells : 454
% 0.17/0.50
% 0.17/0.50 % -------------------------------------------------
% 0.17/0.50 % User time : 0.008 s
% 0.17/0.50 % System time : 0.000 s
% 0.17/0.50 % Total time : 0.008 s
% 0.17/0.50 % Maximum resident set size: 3656 pages
% 0.17/0.50
% 0.17/0.50 % -------------------------------------------------
% 0.17/0.50 % User time : 0.009 s
% 0.17/0.50 % System time : 0.005 s
% 0.17/0.50 % Total time : 0.014 s
% 0.17/0.50 % Maximum resident set size: 4864 pages
% 0.17/0.50 % E exiting
%------------------------------------------------------------------------------