%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG080+1 : 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 : n012.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 02:05:46 PM UTC 2026
% Result : Theorem 0.13s 6.00s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 47 ( 30 unt; 0 def)
% Number of atoms : 78 ( 46 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 51 ( 20 ~; 12 |; 15 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSPN,axiom,
! [X1,X2] :
( ( aVector0(X2)
& aVector0(X1) )
=> ( ( aDimensionOf0(X2) != sz00
& aDimensionOf0(X1) = aDimensionOf0(X2) )
=> sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(m__1692,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__1766,hypothesis,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(m__1678_01,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(m__1746,hypothesis,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(m__1709,hypothesis,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(m__1678,hypothesis,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(m__1726,hypothesis,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(m__1783,hypothesis,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(m__1837,hypothesis,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(m__1820,hypothesis,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(m__1873,hypothesis,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(m__1800,hypothesis,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(m__1854,hypothesis,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(m__2733,hypothesis,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2733) ).
fof(c_0_16,plain,
! [X1,X2] :
( ( aVector0(X2)
& aVector0(X1) )
=> ( ( aDimensionOf0(X2) != sz00
& aDimensionOf0(X1) = aDimensionOf0(X2) )
=> sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
inference(fof_simplification,[status(thm)],[mDefSPN]) ).
fof(c_0_17,hypothesis,
aDimensionOf0(xs) != sz00,
inference(fof_simplification,[status(thm)],[m__1692]) ).
fof(c_0_18,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_19,plain,
! [X36,X37] :
( sdtasasdt0(X36,X37) = sdtpldt0(sdtasasdt0(sziznziztdt0(X36),sziznziztdt0(X37)),sdtasdt0(sdtlbdtrb0(X36,aDimensionOf0(X36)),sdtlbdtrb0(X37,aDimensionOf0(X37))))
| aDimensionOf0(X37) = sz00
| aDimensionOf0(X36) != aDimensionOf0(X37)
| ~ aVector0(X37)
| ~ aVector0(X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,hypothesis,
aDimensionOf0(xs) != sz00,
inference(fof_nnf,[status(thm)],[c_0_17]) ).
cnf(c_0_21,hypothesis,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_22,hypothesis,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[m__1678_01]) ).
fof(c_0_23,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1)
| sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2))))
| aDimensionOf0(X2) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,hypothesis,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_26,hypothesis,
xp = sziznziztdt0(xs),
inference(split_conjunct,[status(thm)],[m__1709]) ).
cnf(c_0_27,hypothesis,
aVector0(xs),
inference(split_conjunct,[status(thm)],[m__1678]) ).
cnf(c_0_28,hypothesis,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,hypothesis,
xq = sziznziztdt0(xt),
inference(split_conjunct,[status(thm)],[m__1726]) ).
cnf(c_0_30,hypothesis,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,hypothesis,
aVector0(xt),
inference(split_conjunct,[status(thm)],[m__1678]) ).
fof(c_0_32,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(fof_nnf,[status(thm)],[c_0_23]) ).
cnf(c_0_33,hypothesis,
( ~ aVector0(X1)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xp),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xA)) = sdtasasdt0(X1,xs) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]),c_0_28]) ).
cnf(c_0_34,hypothesis,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_35,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_36,hypothesis,
( ~ aVector0(X1)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_22]),c_0_29]),c_0_30]),c_0_31])]),c_0_28]) ).
cnf(c_0_37,hypothesis,
xE = sdtasasdt0(xp,xq),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_38,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_39,hypothesis,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_40,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_41,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,hypothesis,
sdtasasdt0(xs,xs) = sdtpldt0(xC,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_25]),c_0_26]),c_0_34]),c_0_35]),c_0_27])]) ).
cnf(c_0_43,hypothesis,
sdtasasdt0(xs,xt) = sdtpldt0(xE,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_25]),c_0_26]),c_0_37]),c_0_38]),c_0_27])]) ).
cnf(c_0_44,hypothesis,
sdtasasdt0(xt,xt) = sdtpldt0(xD,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_22]),c_0_29]),c_0_39]),c_0_30]),c_0_40]),c_0_31])]) ).
cnf(c_0_45,hypothesis,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(split_conjunct,[status(thm)],[m__2733]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_43]),c_0_44]),c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG080+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/5.36 % Computer : n012.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 04:18:30 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/5.40 Running first-order theorem proving
% 0.13/5.40 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
% 0.13/6.00 % Version: 3.5.1
% 0.13/6.00 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/6.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/6.00 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/6.00 % Starting new_bool_3 with 300s (1) cores
% 0.13/6.00 % Starting new_bool_1 with 300s (1) cores
% 0.13/6.00 % Starting sh5l with 300s (1) cores
% 0.13/6.00 % new_bool_1 with pid 1545541 completed with status 0
% 0.13/6.00 % Result found by new_bool_1
% 0.13/6.00 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/6.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/6.00 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/6.00 % Starting new_bool_3 with 300s (1) cores
% 0.13/6.00 % Starting new_bool_1 with 300s (1) cores
% 0.13/6.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/6.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/6.00 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.13/6.00 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/6.00 % Starting SubtermCWHack with 31s (1) cores
% 0.13/6.00 % SubtermCWHack with pid 1545544 completed with status 0
% 0.13/6.00 % Result found by SubtermCWHack
% 0.13/6.00 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/6.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/6.00 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/6.00 % Starting new_bool_3 with 300s (1) cores
% 0.13/6.00 % Starting new_bool_1 with 300s (1) cores
% 0.13/6.00 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/6.00 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/6.00 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.13/6.00 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/6.00 % Starting SubtermCWHack with 31s (1) cores
% 0.13/6.00 % Preprocessing time : 0.002 s
% 0.13/6.00
% 0.13/6.00 % Proof found!
% 0.13/6.00 % SZS status Theorem
% 0.13/6.00 % SZS output start CNFRefutation
% See solution above
% 0.13/6.00 % Parsed axioms : 59
% 0.13/6.00 % Removed by relevancy pruning/SinE : 4
% 0.13/6.00 % Initial clauses : 81
% 0.13/6.00 % Removed in clause preprocessing : 5
% 0.13/6.00 % Initial clauses in saturation : 76
% 0.13/6.00 % Processed clauses : 3381
% 0.13/6.00 % ...of these trivial : 193
% 0.13/6.00 % ...subsumed : 1214
% 0.13/6.00 % ...remaining for further processing : 1974
% 0.13/6.00 % Other redundant clauses eliminated : 5
% 0.13/6.00 % Clauses deleted for lack of memory : 0
% 0.13/6.00 % Backward-subsumed : 82
% 0.13/6.00 % Backward-rewritten : 26
% 0.13/6.00 % Generated clauses : 31817
% 0.13/6.00 % ...of the previous two non-redundant : 30048
% 0.13/6.00 % ...aggressively subsumed : 0
% 0.13/6.00 % Contextual simplify-reflections : 58
% 0.13/6.00 % Paramodulations : 31805
% 0.13/6.00 % Factorizations : 0
% 0.13/6.00 % NegExts : 0
% 0.13/6.00 % Equation resolutions : 12
% 0.13/6.00 % Disequality decompositions : 0
% 0.13/6.00 % Total rewrite steps : 28515
% 0.13/6.00 % ...of those cached : 28111
% 0.13/6.00 % Propositional unsat checks : 0
% 0.13/6.00 % Propositional check models : 0
% 0.13/6.00 % Propositional check unsatisfiable : 0
% 0.13/6.00 % Propositional clauses : 0
% 0.13/6.00 % Propositional clauses after purity: 0
% 0.13/6.00 % Propositional unsat core size : 0
% 0.13/6.00 % Propositional preprocessing time : 0.000
% 0.13/6.00 % Propositional encoding time : 0.000
% 0.13/6.00 % Propositional solver time : 0.000
% 0.13/6.00 % Success case prop preproc time : 0.000
% 0.13/6.00 % Success case prop encoding time : 0.000
% 0.13/6.00 % Success case prop solver time : 0.000
% 0.13/6.00 % Current number of processed clauses : 1863
% 0.13/6.00 % Positive orientable unit clauses : 554
% 0.13/6.00 % Positive unorientable unit clauses: 0
% 0.13/6.00 % Negative unit clauses : 3
% 0.13/6.00 % Non-unit-clauses : 1306
% 0.13/6.00 % Current number of unprocessed clauses: 26635
% 0.13/6.00 % ...number of literals in the above : 107878
% 0.13/6.00 % Current number of archived formulas : 0
% 0.13/6.00 % Current number of archived clauses : 108
% 0.13/6.00 % Clause-clause subsumption calls (NU) : 283652
% 0.13/6.00 % Rec. Clause-clause subsumption calls : 143472
% 0.13/6.00 % Non-unit clause-clause subsumptions : 1352
% 0.13/6.00 % Unit Clause-clause subsumption calls : 21052
% 0.13/6.00 % Rewrite failures with RHS unbound : 0
% 0.13/6.00 % BW rewrite match attempts : 6178
% 0.13/6.00 % BW rewrite match successes : 15
% 0.13/6.00 % Condensation attempts : 0
% 0.13/6.00 % Condensation successes : 0
% 0.13/6.00 % Termbank termtop insertions : 593562
% 0.13/6.00 % Search garbage collected termcells : 881
% 0.13/6.00
% 0.13/6.00 % -------------------------------------------------
% 0.13/6.00 % User time : 0.537 s
% 0.13/6.00 % System time : 0.025 s
% 0.13/6.00 % Total time : 0.563 s
% 0.13/6.00 % Maximum resident set size: 3960 pages
% 0.13/6.00
% 0.13/6.00 % -------------------------------------------------
% 0.13/6.00 % User time : 0.540 s
% 0.13/6.00 % System time : 0.029 s
% 0.13/6.00 % Total time : 0.569 s
% 0.13/6.00 % Maximum resident set size: 4864 pages
% 0.13/6.00 % E exiting
%------------------------------------------------------------------------------