%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG047+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 02:05:37 PM UTC 2026
% Result : Theorem 0.15s 5.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 64 ( 34 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 59 ( 18 ~; 12 |; 18 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xs),X1) = sdtlbdtrb0(xs,X1) )
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& aVector0(sziznziztdt0(xs)) )
=> ( ( ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xt),X1) = sdtlbdtrb0(xt,X1) )
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
& aVector0(sziznziztdt0(xt)) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__1329_01,hypothesis,
( aDimensionOf0(xt) != sz00
& aDimensionOf0(xs) = aDimensionOf0(xt) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329_01) ).
fof(mDimNat,axiom,
! [X1] :
( aVector0(X1)
=> aNaturalNumber0(aDimensionOf0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).
fof(mSuccEqu,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).
fof(c_0_4,negated_conjecture,
~ ( ( ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xs),X1) = sdtlbdtrb0(xs,X1) )
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& aVector0(sziznziztdt0(xs)) )
=> ( ( ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(sziznziztdt0(xt),X1) = sdtlbdtrb0(xt,X1) )
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
& aVector0(sziznziztdt0(xt)) )
=> aDimensionOf0(sziznziztdt0(xs)) = aDimensionOf0(sziznziztdt0(xt)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,hypothesis,
( aDimensionOf0(xt) != sz00
& aDimensionOf0(xs) = aDimensionOf0(xt) ),
inference(fof_simplification,[status(thm)],[m__1329_01]) ).
fof(c_0_6,negated_conjecture,
! [X5,X6] :
( aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt))
& ( sdtlbdtrb0(sziznziztdt0(xt),X6) = sdtlbdtrb0(xt,X6)
| ~ aNaturalNumber0(X6) )
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt)
& aVector0(sziznziztdt0(xt))
& ( sdtlbdtrb0(sziznziztdt0(xs),X5) = sdtlbdtrb0(xs,X5)
| ~ aNaturalNumber0(X5) )
& szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs)
& aVector0(sziznziztdt0(xs)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,hypothesis,
( aDimensionOf0(xt) != sz00
& aDimensionOf0(xs) = aDimensionOf0(xt) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X8] :
( aNaturalNumber0(aDimensionOf0(X8))
| ~ aVector0(X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDimNat])])]) ).
fof(c_0_9,plain,
! [X20,X21] :
( X20 = X21
| szszuzczcdt0(X20) != szszuzczcdt0(X21)
| ~ aNaturalNumber0(X21)
| ~ aNaturalNumber0(X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEqu])])]) ).
cnf(c_0_10,negated_conjecture,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( ~ aVector0(X1)
| aNaturalNumber0(aDimensionOf0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
aVector0(sziznziztdt0(xs)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xt),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
aVector0(sziznziztdt0(xt)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
( ~ aNaturalNumber0(X1)
| szszuzczcdt0(X1) != aDimensionOf0(xt)
| X1 = aDimensionOf0(sziznziztdt0(xs)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_19,negated_conjecture,
szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))),
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG047+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.37 % Computer : n017.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 04:10:31 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.45 % Version: 3.5.1
% 0.15/5.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.45 % Starting sh5l with 300s (1) cores
% 0.15/5.45 % new_bool_3 with pid 1396727 completed with status 0
% 0.15/5.45 % Result found by new_bool_3
% 0.15/5.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.45 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/5.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.45 % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.45 % SubtermCWHack with pid 1396730 completed with status 0
% 0.15/5.45 % Result found by SubtermCWHack
% 0.15/5.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/5.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/5.45 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/5.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/5.45 % Starting SubtermCWHack with 31s (1) cores
% 0.15/5.45 % Preprocessing time : 0.001 s
% 0.15/5.45
% 0.15/5.45 % Proof found!
% 0.15/5.45 % SZS status Theorem
% 0.15/5.45 % SZS output start CNFRefutation
% See solution above
% 0.15/5.45 % Parsed axioms : 35
% 0.15/5.45 % Removed by relevancy pruning/SinE : 22
% 0.15/5.45 % Initial clauses : 27
% 0.15/5.45 % Removed in clause preprocessing : 3
% 0.15/5.45 % Initial clauses in saturation : 24
% 0.15/5.45 % Processed clauses : 31
% 0.15/5.45 % ...of these trivial : 1
% 0.15/5.45 % ...subsumed : 2
% 0.15/5.45 % ...remaining for further processing : 28
% 0.15/5.45 % Other redundant clauses eliminated : 4
% 0.15/5.45 % Clauses deleted for lack of memory : 0
% 0.15/5.45 % Backward-subsumed : 0
% 0.15/5.45 % Backward-rewritten : 0
% 0.15/5.45 % Generated clauses : 26
% 0.15/5.45 % ...of the previous two non-redundant : 16
% 0.15/5.45 % ...aggressively subsumed : 0
% 0.15/5.45 % Contextual simplify-reflections : 0
% 0.15/5.45 % Paramodulations : 21
% 0.15/5.45 % Factorizations : 0
% 0.15/5.45 % NegExts : 0
% 0.15/5.45 % Equation resolutions : 5
% 0.15/5.45 % Disequality decompositions : 0
% 0.15/5.45 % Total rewrite steps : 16
% 0.15/5.45 % ...of those cached : 10
% 0.15/5.45 % Propositional unsat checks : 0
% 0.15/5.45 % Propositional check models : 0
% 0.15/5.45 % Propositional check unsatisfiable : 0
% 0.15/5.45 % Propositional clauses : 0
% 0.15/5.45 % Propositional clauses after purity: 0
% 0.15/5.45 % Propositional unsat core size : 0
% 0.15/5.45 % Propositional preprocessing time : 0.000
% 0.15/5.45 % Propositional encoding time : 0.000
% 0.15/5.45 % Propositional solver time : 0.000
% 0.15/5.45 % Success case prop preproc time : 0.000
% 0.15/5.45 % Success case prop encoding time : 0.000
% 0.15/5.45 % Success case prop solver time : 0.000
% 0.15/5.45 % Current number of processed clauses : 27
% 0.15/5.45 % Positive orientable unit clauses : 11
% 0.15/5.45 % Positive unorientable unit clauses: 0
% 0.15/5.45 % Negative unit clauses : 2
% 0.15/5.45 % Non-unit-clauses : 14
% 0.15/5.45 % Current number of unprocessed clauses: 9
% 0.15/5.45 % ...number of literals in the above : 40
% 0.15/5.45 % Current number of archived formulas : 0
% 0.15/5.45 % Current number of archived clauses : 0
% 0.15/5.45 % Clause-clause subsumption calls (NU) : 11
% 0.15/5.45 % Rec. Clause-clause subsumption calls : 8
% 0.15/5.45 % Non-unit clause-clause subsumptions : 0
% 0.15/5.45 % Unit Clause-clause subsumption calls : 0
% 0.15/5.45 % Rewrite failures with RHS unbound : 0
% 0.15/5.45 % BW rewrite match attempts : 2
% 0.15/5.45 % BW rewrite match successes : 0
% 0.15/5.45 % Condensation attempts : 0
% 0.15/5.45 % Condensation successes : 0
% 0.15/5.45 % Termbank termtop insertions : 2267
% 0.15/5.45 % Search garbage collected termcells : 575
% 0.15/5.45
% 0.15/5.45 % -------------------------------------------------
% 0.15/5.45 % User time : 0.006 s
% 0.15/5.45 % System time : 0.002 s
% 0.15/5.45 % Total time : 0.008 s
% 0.15/5.45 % Maximum resident set size: 3676 pages
% 0.15/5.45
% 0.15/5.45 % -------------------------------------------------
% 0.15/5.45 % User time : 0.008 s
% 0.15/5.45 % System time : 0.007 s
% 0.15/5.45 % Total time : 0.015 s
% 0.15/5.45 % Maximum resident set size: 4608 pages
% 0.15/5.45 % E exiting
%------------------------------------------------------------------------------