%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG072+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 : 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 02:05:44 PM UTC 2026
% Result : Theorem 0.32s 0.65s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 56 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 57 ( 25 ~; 19 |; 10 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mLEMonM,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X4)
& aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X3,X4)
& sdtlseqdt0(sz0z00,X3)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).
fof(m__2628,hypothesis,
( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
& sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2628) ).
fof(m__2610,hypothesis,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2610) ).
fof(mSumSc,axiom,
! [X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(m__1930,hypothesis,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(m__1892,hypothesis,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(m__1911,hypothesis,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(c_0_8,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_9,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_10,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
fof(c_0_11,plain,
! [X47,X48,X49,X50] :
( sdtlseqdt0(sdtasdt0(X47,X49),sdtasdt0(X48,X50))
| ~ sdtlseqdt0(X49,X50)
| ~ sdtlseqdt0(sz0z00,X49)
| ~ sdtlseqdt0(X47,X48)
| ~ aScalar0(X50)
| ~ aScalar0(X49)
| ~ aScalar0(X48)
| ~ aScalar0(X47) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLEMonM])])]) ).
cnf(c_0_12,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,plain,
( ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| sdtlseqdt0(sdtasdt0(X1,X3),sdtasdt0(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,hypothesis,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(split_conjunct,[status(thm)],[m__2628]) ).
cnf(c_0_15,hypothesis,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(split_conjunct,[status(thm)],[m__2610]) ).
fof(c_0_16,plain,
! [X15,X16] :
( aScalar0(sdtpldt0(X15,X16))
| ~ aScalar0(X16)
| ~ aScalar0(X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])])]) ).
cnf(c_0_17,negated_conjecture,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]) ).
cnf(c_0_18,plain,
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| aScalar0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_20,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_21,negated_conjecture,
~ aScalar0(sdtpldt0(xP,xP)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_22,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG072+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 % Computer : n002.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Mon Sep 21 04:20:03 UTC 2026
% 0.18/0.47 % CPUTime :
% 0.18/0.47 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.55 Running first-order theorem proving
% 0.23/0.55 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
% 0.32/0.65 % Version: 3.5.1
% 0.32/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.32/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.32/0.65 % Starting new_bool_3 with 300s (1) cores
% 0.32/0.65 % Starting new_bool_1 with 300s (1) cores
% 0.32/0.65 % Starting sh5l with 300s (1) cores
% 0.32/0.65 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2411704 completed with status 0
% 0.32/0.65 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.32/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.32/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.32/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.32/0.65 % No SInE strategy applied
% 0.32/0.65 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.32/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.32/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.32/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.32/0.65 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.32/0.65 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 0.32/0.65 % Starting new_bool_3 with 136s (1) cores
% 0.32/0.65 % SAT001_MinMin_p005000_rr_RG with pid 2411713 completed with status 0
% 0.32/0.65 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.32/0.65 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.32/0.65 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.32/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.32/0.65 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.32/0.65 % No SInE strategy applied
% 0.32/0.65 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.32/0.65 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.32/0.65 % Starting SubtermCWHack with 136s (1) cores
% 0.32/0.65 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.32/0.65 % Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.32/0.65 % Preprocessing time : 0.004 s
% 0.32/0.65 % Presaturation interreduction done
% 0.32/0.65
% 0.32/0.65 % Proof found!
% 0.32/0.65 % SZS status Theorem
% 0.32/0.65 % SZS output start CNFRefutation
% See solution above
% 0.32/0.65 % Parsed axioms : 63
% 0.32/0.65 % Removed by relevancy pruning/SinE : 0
% 0.32/0.65 % Initial clauses : 102
% 0.32/0.65 % Removed in clause preprocessing : 5
% 0.32/0.65 % Initial clauses in saturation : 97
% 0.32/0.65 % Processed clauses : 230
% 0.32/0.65 % ...of these trivial : 1
% 0.32/0.65 % ...subsumed : 5
% 0.32/0.65 % ...remaining for further processing : 224
% 0.32/0.65 % Other redundant clauses eliminated : 5
% 0.32/0.65 % Clauses deleted for lack of memory : 0
% 0.32/0.65 % Backward-subsumed : 2
% 0.32/0.65 % Backward-rewritten : 1
% 0.32/0.65 % Generated clauses : 432
% 0.32/0.65 % ...of the previous two non-redundant : 377
% 0.32/0.65 % ...aggressively subsumed : 0
% 0.32/0.65 % Contextual simplify-reflections : 0
% 0.32/0.65 % Paramodulations : 426
% 0.32/0.65 % Factorizations : 0
% 0.32/0.65 % NegExts : 0
% 0.32/0.65 % Equation resolutions : 6
% 0.32/0.65 % Disequality decompositions : 0
% 0.32/0.65 % Total rewrite steps : 377
% 0.32/0.65 % ...of those cached : 346
% 0.32/0.65 % Propositional unsat checks : 0
% 0.32/0.65 % Propositional check models : 0
% 0.32/0.65 % Propositional check unsatisfiable : 0
% 0.32/0.65 % Propositional clauses : 0
% 0.32/0.65 % Propositional clauses after purity: 0
% 0.32/0.65 % Propositional unsat core size : 0
% 0.32/0.65 % Propositional preprocessing time : 0.000
% 0.32/0.65 % Propositional encoding time : 0.000
% 0.32/0.65 % Propositional solver time : 0.000
% 0.32/0.65 % Success case prop preproc time : 0.000
% 0.32/0.65 % Success case prop encoding time : 0.000
% 0.32/0.65 % Success case prop solver time : 0.000
% 0.32/0.65 % Current number of processed clauses : 121
% 0.32/0.65 % Positive orientable unit clauses : 57
% 0.32/0.65 % Positive unorientable unit clauses: 0
% 0.32/0.65 % Negative unit clauses : 4
% 0.32/0.65 % Non-unit-clauses : 60
% 0.32/0.65 % Current number of unprocessed clauses: 328
% 0.32/0.65 % ...number of literals in the above : 1351
% 0.32/0.65 % Current number of archived formulas : 0
% 0.32/0.65 % Current number of archived clauses : 100
% 0.32/0.65 % Clause-clause subsumption calls (NU) : 2238
% 0.32/0.65 % Rec. Clause-clause subsumption calls : 817
% 0.32/0.65 % Non-unit clause-clause subsumptions : 2
% 0.32/0.65 % Unit Clause-clause subsumption calls : 22
% 0.32/0.65 % Rewrite failures with RHS unbound : 0
% 0.32/0.65 % BW rewrite match attempts : 3
% 0.32/0.65 % BW rewrite match successes : 1
% 0.32/0.65 % Condensation attempts : 0
% 0.32/0.65 % Condensation successes : 0
% 0.32/0.65 % Termbank termtop insertions : 13687
% 0.32/0.65 % Search garbage collected termcells : 888
% 0.32/0.65
% 0.32/0.65 % -------------------------------------------------
% 0.32/0.65 % User time : 0.034 s
% 0.32/0.65 % System time : 0.010 s
% 0.32/0.65 % Total time : 0.044 s
% 0.32/0.65 % Maximum resident set size: 3708 pages
% 0.32/0.65
% 0.32/0.65 % -------------------------------------------------
% 0.32/0.65 % User time : 0.115 s
% 0.32/0.65 % System time : 0.034 s
% 0.32/0.65 % Total time : 0.150 s
% 0.32/0.65 % Maximum resident set size: 4608 pages
% 0.32/0.65 % E exiting
%------------------------------------------------------------------------------