%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM539+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 : 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 01:49:29 PM UTC 2026
% Result : Theorem 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 89 ( 12 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 98 ( 29 ~; 23 |; 34 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1779,hypothesis,
( ~ ( xT = slcrc0
| ~ ? [X1] : aElementOf0(X1,xT) )
& ~ ( xS = slcrc0
| ~ ? [X1] : aElementOf0(X1,xS) )
& aSubsetOf0(xT,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,xT)
=> aElementOf0(X1,szNzAzT0) )
& aSet0(xT)
& aSubsetOf0(xS,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1779) ).
fof(m__1802,hypothesis,
( aElementOf0(szmzizndt0(xT),xS)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xT),X1) )
& aElementOf0(szmzizndt0(xT),xT)
& aElementOf0(szmzizndt0(xS),xT)
& ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
& aElementOf0(szmzizndt0(xS),xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1802) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X2,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
fof(m__,conjecture,
( ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
& aElementOf0(szmzizndt0(xS),xS) )
=> ( szmzizndt0(xS) = szmzizndt0(xT)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xS),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_4,hypothesis,
! [X5,X6] :
( xT != slcrc0
& aElementOf0(esk2_0,xT)
& xS != slcrc0
& aElementOf0(esk1_0,xS)
& aSubsetOf0(xT,szNzAzT0)
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,xT) )
& aSet0(xT)
& aSubsetOf0(xS,szNzAzT0)
& ( aElementOf0(X5,szNzAzT0)
| ~ aElementOf0(X5,xS) )
& aSet0(xS) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1779])])])])]) ).
fof(c_0_5,hypothesis,
! [X9,X10] :
( aElementOf0(szmzizndt0(xT),xS)
& ( sdtlseqdt0(szmzizndt0(xT),X10)
| ~ aElementOf0(X10,xT) )
& aElementOf0(szmzizndt0(xT),xT)
& aElementOf0(szmzizndt0(xS),xT)
& ( sdtlseqdt0(szmzizndt0(xS),X9)
| ~ aElementOf0(X9,xS) )
& aElementOf0(szmzizndt0(xS),xS) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1802])])])]) ).
fof(c_0_6,plain,
! [X40,X41] :
( X40 = X41
| ~ sdtlseqdt0(X41,X40)
| ~ sdtlseqdt0(X40,X41)
| ~ aElementOf0(X41,szNzAzT0)
| ~ aElementOf0(X40,szNzAzT0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])])]) ).
cnf(c_0_7,hypothesis,
( ~ aElementOf0(X1,xS)
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
aElementOf0(szmzizndt0(xT),xS),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,negated_conjecture,
~ ( ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(szmzizndt0(xS),X1) )
& aElementOf0(szmzizndt0(xS),xS) )
=> ( szmzizndt0(xS) = szmzizndt0(xT)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(szmzizndt0(xS),X1) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_10,plain,
( ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
( ~ aElementOf0(X1,xT)
| sdtlseqdt0(szmzizndt0(xT),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,hypothesis,
aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,hypothesis,
( ~ aElementOf0(X1,xT)
| aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_14,negated_conjecture,
! [X11] :
( szmzizndt0(xS) != szmzizndt0(xT)
& ~ sdtlseqdt0(szmzizndt0(xS),esk3_0)
& aElementOf0(esk3_0,xT)
& ( sdtlseqdt0(szmzizndt0(xS),X11)
| ~ aElementOf0(X11,xS) )
& aElementOf0(szmzizndt0(xS),xS) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
cnf(c_0_15,hypothesis,
( ~ aElementOf0(X1,xT)
| ~ sdtlseqdt0(X1,szmzizndt0(xT))
| X1 = szmzizndt0(xT) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),c_0_13]) ).
cnf(c_0_16,hypothesis,
( ~ aElementOf0(X1,xS)
| sdtlseqdt0(szmzizndt0(xS),X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_17,hypothesis,
aElementOf0(szmzizndt0(xS),xT),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_8])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM539+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n026.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 02:41:22 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 0.18/0.46 % Version: 3.5.1
% 0.18/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.46 % Starting sh5l with 300s (1) cores
% 0.18/0.46 % new_bool_1 with pid 1190705 completed with status 0
% 0.18/0.46 % Result found by new_bool_1
% 0.18/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.46 % Search class: FGHSF-FFMM31-MFFFFFNN
% 0.18/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.46 % SubtermCWHack with pid 1190707 completed with status 0
% 0.18/0.46 % Result found by SubtermCWHack
% 0.18/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.46 % Search class: FGHSF-FFMM31-MFFFFFNN
% 0.18/0.46 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.46 % Preprocessing time : 0.002 s
% 0.18/0.46
% 0.18/0.46 % Proof found!
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46 % SZS output start CNFRefutation
% See solution above
% 0.18/0.46 % Parsed axioms : 51
% 0.18/0.46 % Removed by relevancy pruning/SinE : 3
% 0.18/0.46 % Initial clauses : 97
% 0.18/0.46 % Removed in clause preprocessing : 5
% 0.18/0.46 % Initial clauses in saturation : 92
% 0.18/0.46 % Processed clauses : 177
% 0.18/0.46 % ...of these trivial : 8
% 0.18/0.46 % ...subsumed : 24
% 0.18/0.46 % ...remaining for further processing : 145
% 0.18/0.46 % Other redundant clauses eliminated : 18
% 0.18/0.46 % Clauses deleted for lack of memory : 0
% 0.18/0.46 % Backward-subsumed : 3
% 0.18/0.46 % Backward-rewritten : 1
% 0.18/0.46 % Generated clauses : 217
% 0.18/0.46 % ...of the previous two non-redundant : 154
% 0.18/0.46 % ...aggressively subsumed : 0
% 0.18/0.46 % Contextual simplify-reflections : 10
% 0.18/0.46 % Paramodulations : 200
% 0.18/0.46 % Factorizations : 0
% 0.18/0.46 % NegExts : 0
% 0.18/0.46 % Equation resolutions : 19
% 0.18/0.46 % Disequality decompositions : 0
% 0.18/0.46 % Total rewrite steps : 141
% 0.18/0.46 % ...of those cached : 118
% 0.18/0.46 % Propositional unsat checks : 0
% 0.18/0.46 % Propositional check models : 0
% 0.18/0.46 % Propositional check unsatisfiable : 0
% 0.18/0.46 % Propositional clauses : 0
% 0.18/0.46 % Propositional clauses after purity: 0
% 0.18/0.46 % Propositional unsat core size : 0
% 0.18/0.46 % Propositional preprocessing time : 0.000
% 0.18/0.46 % Propositional encoding time : 0.000
% 0.18/0.46 % Propositional solver time : 0.000
% 0.18/0.46 % Success case prop preproc time : 0.000
% 0.18/0.46 % Success case prop encoding time : 0.000
% 0.18/0.46 % Success case prop solver time : 0.000
% 0.18/0.46 % Current number of processed clauses : 127
% 0.18/0.46 % Positive orientable unit clauses : 34
% 0.18/0.46 % Positive unorientable unit clauses: 0
% 0.18/0.46 % Negative unit clauses : 9
% 0.18/0.46 % Non-unit-clauses : 84
% 0.18/0.46 % Current number of unprocessed clauses: 66
% 0.18/0.46 % ...number of literals in the above : 394
% 0.18/0.46 % Current number of archived formulas : 0
% 0.18/0.46 % Current number of archived clauses : 4
% 0.18/0.46 % Clause-clause subsumption calls (NU) : 948
% 0.18/0.46 % Rec. Clause-clause subsumption calls : 357
% 0.18/0.46 % Non-unit clause-clause subsumptions : 27
% 0.18/0.46 % Unit Clause-clause subsumption calls : 34
% 0.18/0.46 % Rewrite failures with RHS unbound : 0
% 0.18/0.46 % BW rewrite match attempts : 1
% 0.18/0.46 % BW rewrite match successes : 1
% 0.18/0.46 % Condensation attempts : 0
% 0.18/0.46 % Condensation successes : 0
% 0.18/0.46 % Termbank termtop insertions : 10376
% 0.18/0.46 % Search garbage collected termcells : 1705
% 0.18/0.46
% 0.18/0.46 % -------------------------------------------------
% 0.18/0.46 % User time : 0.014 s
% 0.18/0.46 % System time : 0.004 s
% 0.18/0.46 % Total time : 0.018 s
% 0.18/0.46 % Maximum resident set size: 3948 pages
% 0.18/0.46
% 0.18/0.46 % -------------------------------------------------
% 0.18/0.46 % User time : 0.015 s
% 0.18/0.46 % System time : 0.010 s
% 0.18/0.46 % Total time : 0.026 s
% 0.18/0.46 % Maximum resident set size: 4864 pages
% 0.18/0.46 % E exiting
%------------------------------------------------------------------------------