%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUN069+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 01:57:39 PM UTC 2026
% Result : Theorem 0.27s 0.55s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 46 ( 14 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 49 ( 18 ~; 12 |; 19 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 27 ( 4 sgn 9 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oneeqone,conjecture,
? [X39] :
( ? [X22] :
( r2(X22,X39)
& r1(X22) )
& X39 = X39 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oneeqone) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( X2 = X1
& r1(X2) )
| ( X2 != X1
& ~ r1(X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(axiom_1a,axiom,
! [X14,X15] :
? [X16] :
( ? [X19] :
( r3(X14,X15,X19)
& r2(X19,X16) )
& ? [X17] :
( X17 = X16
& ? [X18] :
( r3(X14,X18,X17)
& r2(X15,X18) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
fof(c_0_3,negated_conjecture,
~ ? [X39] :
( ? [X22] :
( r2(X22,X39)
& r1(X22) )
& X39 = X39 ),
inference(assume_negation,[status(cth)],[oneeqone]) ).
fof(c_0_4,plain,
? [X1] :
! [X2] :
( ( X2 = X1
& r1(X2) )
| ( X2 != X1
& ~ r1(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_5,negated_conjecture,
! [X44,X45] :
( ~ r2(X45,X44)
| ~ r1(X45)
| X44 != X44 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_6,plain,
! [X61] :
( ( X61 != esk5_0
| X61 = esk5_0 )
& ( X61 != esk5_0
| r1(X61) )
& ( ~ r1(X61)
| X61 = esk5_0 )
& ( ~ r1(X61)
| r1(X61) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_4])])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ r2(X2,X1)
| ~ r1(X2)
| $false ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X69,X70] :
( r3(X69,X70,esk12_2(X69,X70))
& r2(esk12_2(X69,X70),esk9_2(X69,X70))
& esk10_2(X69,X70) = esk9_2(X69,X70)
& r3(X69,esk11_2(X69,X70),esk10_2(X69,X70))
& r2(X70,esk11_2(X69,X70)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
cnf(c_0_9,plain,
( X1 != esk5_0
| r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( ~ r2(X2,X1)
| ~ r1(X2) ),
inference(cn,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
r2(X1,esk11_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
r1(esk5_0),
inference(er,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
~ r1(X1),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[c_0_12,c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUN069+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n013.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
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 03:23:21 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.51 Running first-order theorem proving
% 0.27/0.52 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
% 0.27/0.55 % Version: 3.5.1
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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_3 with pid 4037401 completed with status 0
% 0.27/0.55 % Result found by new_bool_3
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 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: FGHSM-FFMF21-SFFFFFNN
% 0.27/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.55 % SubtermCWHack with pid 4037404 completed with status 0
% 0.27/0.55 % Result found by SubtermCWHack
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 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: FGHSM-FFMF21-SFFFFFNN
% 0.27/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.55 % Starting SubtermCWHack with 31s (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 : 12
% 0.27/0.55 % Removed by relevancy pruning/SinE : 0
% 0.27/0.55 % Initial clauses : 40
% 0.27/0.55 % Removed in clause preprocessing : 8
% 0.27/0.55 % Initial clauses in saturation : 32
% 0.27/0.55 % Processed clauses : 16
% 0.27/0.55 % ...of these trivial : 0
% 0.27/0.55 % ...subsumed : 0
% 0.27/0.55 % ...remaining for further processing : 16
% 0.27/0.55 % Other redundant clauses eliminated : 1
% 0.27/0.55 % Clauses deleted for lack of memory : 0
% 0.27/0.55 % Backward-subsumed : 2
% 0.27/0.55 % Backward-rewritten : 4
% 0.27/0.55 % Generated clauses : 6
% 0.27/0.55 % ...of the previous two non-redundant : 6
% 0.27/0.55 % ...aggressively subsumed : 0
% 0.27/0.55 % Contextual simplify-reflections : 0
% 0.27/0.55 % Paramodulations : 4
% 0.27/0.55 % Factorizations : 0
% 0.27/0.55 % NegExts : 0
% 0.27/0.55 % Equation resolutions : 1
% 0.27/0.55 % Disequality decompositions : 0
% 0.27/0.55 % Total rewrite steps : 7
% 0.27/0.55 % ...of those cached : 3
% 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 : 8
% 0.27/0.55 % Positive orientable unit clauses : 6
% 0.27/0.55 % Positive unorientable unit clauses: 0
% 0.27/0.55 % Negative unit clauses : 1
% 0.27/0.55 % Non-unit-clauses : 1
% 0.27/0.55 % Current number of unprocessed clauses: 22
% 0.27/0.55 % ...number of literals in the above : 36
% 0.27/0.55 % Current number of archived formulas : 0
% 0.27/0.55 % Current number of archived clauses : 7
% 0.27/0.55 % Clause-clause subsumption calls (NU) : 1
% 0.27/0.55 % Rec. Clause-clause subsumption calls : 1
% 0.27/0.55 % Non-unit clause-clause subsumptions : 0
% 0.27/0.55 % Unit Clause-clause subsumption calls : 4
% 0.27/0.55 % Rewrite failures with RHS unbound : 0
% 0.27/0.55 % BW rewrite match attempts : 3
% 0.27/0.55 % BW rewrite match successes : 3
% 0.27/0.55 % Condensation attempts : 0
% 0.27/0.55 % Condensation successes : 0
% 0.27/0.55 % Termbank termtop insertions : 1427
% 0.27/0.55 % Search garbage collected termcells : 278
% 0.27/0.55
% 0.27/0.55 % -------------------------------------------------
% 0.27/0.55 % User time : 0.008 s
% 0.27/0.55 % System time : 0.001 s
% 0.27/0.55 % Total time : 0.009 s
% 0.27/0.55 % Maximum resident set size: 3668 pages
% 0.27/0.55
% 0.27/0.55 % -------------------------------------------------
% 0.27/0.55 % User time : 0.012 s
% 0.27/0.55 % System time : 0.006 s
% 0.27/0.55 % Total time : 0.018 s
% 0.27/0.55 % Maximum resident set size: 4608 pages
% 0.27/0.55 % E exiting
%------------------------------------------------------------------------------