%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG099+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 : n001.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 02:05:50 PM UTC 2026
% Result : Theorem 0.27s 0.55s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 108 ( 3 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 112 ( 39 ~; 37 |; 26 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__1205,hypothesis,
( aIdeal0(xJ)
& ! [X1] :
( aElementOf0(X1,xJ)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X1,X2),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X1] :
( aElementOf0(X1,xI)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xI) )
& ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X1,X2),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
fof(m__1319,hypothesis,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1319) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(m__1294,hypothesis,
( sdtpldt0(xa,xb) = sz10
& aElementOf0(xb,xJ)
& aElementOf0(xa,xI) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
fof(m__,conjecture,
? [X1] :
( ( sdteqdtlpzmzozddtrp0(X1,xy,xJ)
| aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ) )
& ( sdteqdtlpzmzozddtrp0(X1,xx,xI)
| aElementOf0(sdtpldt0(X1,smndt0(xx)),xI) )
& aElement0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__1217,hypothesis,
( aElement0(xy)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
fof(m__1409,hypothesis,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).
fof(m__1332,hypothesis,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1332) ).
fof(c_0_10,plain,
! [X36,X37] :
( aElement0(sdtpldt0(X36,X37))
| ~ aElement0(X37)
| ~ aElement0(X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).
fof(c_0_11,plain,
! [X44,X45] :
( aElement0(X45)
| ~ aElementOf0(X45,X44)
| ~ aSet0(X44) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
fof(c_0_12,hypothesis,
! [X7,X8,X9,X10,X11,X12] :
( aIdeal0(xJ)
& ( ~ aElementOf0(X10,xJ)
| aElementOf0(sdtasdt0(X12,X10),xJ)
| ~ aElement0(X12) )
& ( ~ aElementOf0(X10,xJ)
| aElementOf0(sdtpldt0(X10,X11),xJ)
| ~ aElementOf0(X11,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ( ~ aElementOf0(X7,xI)
| aElementOf0(sdtasdt0(X9,X7),xI)
| ~ aElement0(X9) )
& ( ~ aElementOf0(X7,xI)
| aElementOf0(sdtpldt0(X7,X8),xI)
| ~ aElementOf0(X8,xI) )
& aSet0(xI) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205])])])])]) ).
cnf(c_0_13,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| aElement0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,hypothesis,
xw = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)),
inference(split_conjunct,[status(thm)],[m__1319]) ).
fof(c_0_15,plain,
! [X25,X26] :
( aElement0(sdtasdt0(X25,X26))
| ~ aElement0(X26)
| ~ aElement0(X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).
cnf(c_0_16,plain,
( ~ aElementOf0(X2,X1)
| ~ aSet0(X1)
| aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,hypothesis,
aElementOf0(xa,xI),
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_18,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,negated_conjecture,
~ ? [X1] :
( ( sdteqdtlpzmzozddtrp0(X1,xy,xJ)
| aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ) )
& ( sdteqdtlpzmzozddtrp0(X1,xx,xI)
| aElementOf0(sdtpldt0(X1,smndt0(xx)),xI) )
& aElement0(X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_20,hypothesis,
( ~ aElement0(sdtasdt0(xy,xa))
| ~ aElement0(sdtasdt0(xx,xb))
| aElement0(xw) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| aElement0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,hypothesis,
aElement0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_23,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__1217]) ).
cnf(c_0_24,hypothesis,
aElementOf0(xb,xJ),
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_25,hypothesis,
aSet0(xJ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_26,negated_conjecture,
! [X16] :
( ( ~ aElement0(X16)
| ~ sdteqdtlpzmzozddtrp0(X16,xx,xI)
| ~ sdteqdtlpzmzozddtrp0(X16,xy,xJ) )
& ( ~ aElement0(X16)
| ~ sdteqdtlpzmzozddtrp0(X16,xx,xI)
| ~ aElementOf0(sdtpldt0(X16,smndt0(xy)),xJ) )
& ( ~ aElement0(X16)
| ~ aElementOf0(sdtpldt0(X16,smndt0(xx)),xI)
| ~ sdteqdtlpzmzozddtrp0(X16,xy,xJ) )
& ( ~ aElement0(X16)
| ~ aElementOf0(sdtpldt0(X16,smndt0(xx)),xI)
| ~ aElementOf0(sdtpldt0(X16,smndt0(xy)),xJ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_27,hypothesis,
( ~ aElement0(sdtasdt0(xx,xb))
| aElement0(xw) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_28,hypothesis,
aElement0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_24]),c_0_25])]) ).
cnf(c_0_29,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__1217]) ).
cnf(c_0_30,negated_conjecture,
( ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,hypothesis,
aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
inference(split_conjunct,[status(thm)],[m__1409]) ).
cnf(c_0_32,hypothesis,
aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
inference(split_conjunct,[status(thm)],[m__1332]) ).
cnf(c_0_33,hypothesis,
aElement0(xw),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_21]),c_0_28]),c_0_29])]) ).
cnf(c_0_34,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG099+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n001.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 04:25:13 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.50 Running first-order theorem proving
% 0.19/0.50 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
% 0.27/0.55 % Version: 3.5.1
% 0.27/0.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.55 % Starting sh5l with 300s (1) cores
% 0.27/0.55 % new_bool_1 with pid 2178307 completed with status 0
% 0.27/0.55 % Result found by new_bool_1
% 0.27/0.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.55 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.27/0.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.55 % SubtermCWHack with pid 2178312 completed with status 0
% 0.27/0.55 % Result found by SubtermCWHack
% 0.27/0.55 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.55 % Search class: FGHSF-FFMM32-SFFFFFNN
% 0.27/0.55 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.55 % Starting SubtermCWHack with 28s (1) cores
% 0.27/0.55 % Preprocessing time : 0.002 s
% 0.27/0.55
% 0.27/0.55 % Proof found!
% 0.27/0.55 % SZS status Theorem
% 0.27/0.55 % SZS output start CNFRefutation
% See solution above
% 0.27/0.55 % Parsed axioms : 35
% 0.27/0.55 % Removed by relevancy pruning/SinE : 2
% 0.27/0.55 % Initial clauses : 74
% 0.27/0.55 % Removed in clause preprocessing : 2
% 0.27/0.55 % Initial clauses in saturation : 72
% 0.27/0.55 % Processed clauses : 253
% 0.27/0.55 % ...of these trivial : 6
% 0.27/0.55 % ...subsumed : 102
% 0.27/0.55 % ...remaining for further processing : 145
% 0.27/0.55 % Other redundant clauses eliminated : 3
% 0.27/0.55 % Clauses deleted for lack of memory : 0
% 0.27/0.55 % Backward-subsumed : 3
% 0.27/0.55 % Backward-rewritten : 6
% 0.27/0.55 % Generated clauses : 737
% 0.27/0.55 % ...of the previous two non-redundant : 478
% 0.27/0.55 % ...aggressively subsumed : 0
% 0.27/0.55 % Contextual simplify-reflections : 0
% 0.27/0.55 % Paramodulations : 735
% 0.27/0.55 % Factorizations : 0
% 0.27/0.55 % NegExts : 0
% 0.27/0.55 % Equation resolutions : 3
% 0.27/0.55 % Disequality decompositions : 0
% 0.27/0.55 % Total rewrite steps : 655
% 0.27/0.55 % ...of those cached : 626
% 0.27/0.55 % Propositional unsat checks : 0
% 0.27/0.55 % Propositional check models : 0
% 0.27/0.55 % Propositional check unsatisfiable : 0
% 0.27/0.55 % Propositional clauses : 0
% 0.27/0.55 % Propositional clauses after purity: 0
% 0.27/0.55 % Propositional unsat core size : 0
% 0.27/0.55 % Propositional preprocessing time : 0.000
% 0.27/0.55 % Propositional encoding time : 0.000
% 0.27/0.55 % Propositional solver time : 0.000
% 0.27/0.55 % Success case prop preproc time : 0.000
% 0.27/0.55 % Success case prop encoding time : 0.000
% 0.27/0.55 % Success case prop solver time : 0.000
% 0.27/0.55 % Current number of processed clauses : 134
% 0.27/0.55 % Positive orientable unit clauses : 31
% 0.27/0.55 % Positive unorientable unit clauses: 0
% 0.27/0.55 % Negative unit clauses : 1
% 0.27/0.55 % Non-unit-clauses : 102
% 0.27/0.55 % Current number of unprocessed clauses: 244
% 0.27/0.55 % ...number of literals in the above : 1082
% 0.27/0.55 % Current number of archived formulas : 0
% 0.27/0.55 % Current number of archived clauses : 9
% 0.27/0.55 % Clause-clause subsumption calls (NU) : 1464
% 0.27/0.55 % Rec. Clause-clause subsumption calls : 1290
% 0.27/0.55 % Non-unit clause-clause subsumptions : 105
% 0.27/0.55 % Unit Clause-clause subsumption calls : 65
% 0.27/0.55 % Rewrite failures with RHS unbound : 0
% 0.27/0.55 % BW rewrite match attempts : 7
% 0.27/0.55 % BW rewrite match successes : 6
% 0.27/0.55 % Condensation attempts : 0
% 0.27/0.55 % Condensation successes : 0
% 0.27/0.55 % Termbank termtop insertions : 14963
% 0.27/0.55 % Search garbage collected termcells : 1051
% 0.27/0.55
% 0.27/0.55 % -------------------------------------------------
% 0.27/0.55 % User time : 0.022 s
% 0.27/0.55 % System time : 0.004 s
% 0.27/0.55 % Total time : 0.026 s
% 0.27/0.55 % Maximum resident set size: 3680 pages
% 0.27/0.55
% 0.27/0.55 % -------------------------------------------------
% 0.27/0.55 % User time : 0.026 s
% 0.27/0.55 % System time : 0.009 s
% 0.27/0.55 % Total time : 0.036 s
% 0.27/0.55 % Maximum resident set size: 4608 pages
% 0.27/0.55 % E exiting
%------------------------------------------------------------------------------