%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : NUM472+1 : 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 : n009.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 01:55:09 PM UTC 2026
% Result : Theorem 0.15s 0.59s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 46 ( 4 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 54 ( 24 ~; 20 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mDefLE,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X1,X2)
<=> ? [X3] :
( sdtpldt0(X1,X3) = X2
& aNaturalNumber0(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(m__1324,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(c_0_4,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X31,X32,X34] :
( ( ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X31)
| sdtlseqdt0(X31,X32)
| sdtpldt0(X31,X34) != X32
| ~ aNaturalNumber0(X34) )
& ( ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X31)
| ~ sdtlseqdt0(X31,X32)
| sdtpldt0(X31,esk2_2(X31,X32)) = X32 )
& ( ~ aNaturalNumber0(X32)
| ~ aNaturalNumber0(X31)
| ~ sdtlseqdt0(X31,X32)
| aNaturalNumber0(esk2_2(X31,X32)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefLE])])])])])]) ).
fof(c_0_7,plain,
! [X15,X16] :
( aNaturalNumber0(sdtpldt0(X15,X16))
| ~ aNaturalNumber0(X16)
| ~ aNaturalNumber0(X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).
fof(c_0_8,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X2,X1) != X3
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,sdtpldt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_9]),c_0_10]) ).
cnf(c_0_13,hypothesis,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__1324]) ).
cnf(c_0_14,hypothesis,
aNaturalNumber0(xn),
inference(split_conjunct,[status(thm)],[m__1324]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM472+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.52 % Computer : n009.cluster.edu
% 0.11/0.52 % Model : x86_64 x86_64
% 0.11/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.52 % Memory : 8046.5625MB
% 0.11/0.52 % OS : Linux 6.8.0-71-generic
% 0.11/0.52 % CPULimit : 300
% 0.11/0.52 % WCLimit : 300
% 0.11/0.52 % DateTime : Mon Sep 21 02:33:14 UTC 2026
% 0.11/0.53 % CPUTime :
% 0.11/0.53 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.57 Running first-order theorem proving
% 0.15/0.57 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
% 0.15/0.59 % Version: 3.5.1
% 0.15/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.59 % Starting sh5l with 300s (1) cores
% 0.15/0.59 % new_bool_3 with pid 654293 completed with status 0
% 0.15/0.59 % Result found by new_bool_3
% 0.15/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.59 % Search class: FGUSF-FFMM22-SFFFFFNN
% 0.15/0.59 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.59 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.59 % SubtermCWHack with pid 654296 completed with status 0
% 0.15/0.59 % Result found by SubtermCWHack
% 0.15/0.59 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.59 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.59 % Search class: FGUSF-FFMM22-SFFFFFNN
% 0.15/0.59 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.59 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.59 % Preprocessing time : 0.002 s
% 0.15/0.59
% 0.15/0.59 % Proof found!
% 0.15/0.59 % SZS status Theorem
% 0.15/0.59 % SZS output start CNFRefutation
% See solution above
% 0.15/0.59 % Parsed axioms : 39
% 0.15/0.59 % Removed by relevancy pruning/SinE : 6
% 0.15/0.59 % Initial clauses : 55
% 0.15/0.59 % Removed in clause preprocessing : 1
% 0.15/0.59 % Initial clauses in saturation : 54
% 0.15/0.59 % Processed clauses : 81
% 0.15/0.59 % ...of these trivial : 0
% 0.15/0.59 % ...subsumed : 30
% 0.15/0.59 % ...remaining for further processing : 51
% 0.15/0.59 % Other redundant clauses eliminated : 3
% 0.15/0.59 % Clauses deleted for lack of memory : 0
% 0.15/0.59 % Backward-subsumed : 0
% 0.15/0.59 % Backward-rewritten : 1
% 0.15/0.59 % Generated clauses : 103
% 0.15/0.59 % ...of the previous two non-redundant : 82
% 0.15/0.59 % ...aggressively subsumed : 0
% 0.15/0.59 % Contextual simplify-reflections : 2
% 0.15/0.59 % Paramodulations : 100
% 0.15/0.59 % Factorizations : 0
% 0.15/0.59 % NegExts : 0
% 0.15/0.59 % Equation resolutions : 3
% 0.15/0.59 % Disequality decompositions : 0
% 0.15/0.59 % Total rewrite steps : 40
% 0.15/0.59 % ...of those cached : 34
% 0.15/0.59 % Propositional unsat checks : 0
% 0.15/0.59 % Propositional check models : 0
% 0.15/0.59 % Propositional check unsatisfiable : 0
% 0.15/0.59 % Propositional clauses : 0
% 0.15/0.59 % Propositional clauses after purity: 0
% 0.15/0.59 % Propositional unsat core size : 0
% 0.15/0.59 % Propositional preprocessing time : 0.000
% 0.15/0.59 % Propositional encoding time : 0.000
% 0.15/0.59 % Propositional solver time : 0.000
% 0.15/0.59 % Success case prop preproc time : 0.000
% 0.15/0.59 % Success case prop encoding time : 0.000
% 0.15/0.59 % Success case prop solver time : 0.000
% 0.15/0.59 % Current number of processed clauses : 47
% 0.15/0.59 % Positive orientable unit clauses : 13
% 0.15/0.59 % Positive unorientable unit clauses: 0
% 0.15/0.59 % Negative unit clauses : 2
% 0.15/0.59 % Non-unit-clauses : 32
% 0.15/0.59 % Current number of unprocessed clauses: 48
% 0.15/0.59 % ...number of literals in the above : 251
% 0.15/0.59 % Current number of archived formulas : 0
% 0.15/0.59 % Current number of archived clauses : 1
% 0.15/0.59 % Clause-clause subsumption calls (NU) : 127
% 0.15/0.59 % Rec. Clause-clause subsumption calls : 105
% 0.15/0.59 % Non-unit clause-clause subsumptions : 32
% 0.15/0.59 % Unit Clause-clause subsumption calls : 17
% 0.15/0.59 % Rewrite failures with RHS unbound : 0
% 0.15/0.59 % BW rewrite match attempts : 1
% 0.15/0.59 % BW rewrite match successes : 1
% 0.15/0.59 % Condensation attempts : 0
% 0.15/0.59 % Condensation successes : 0
% 0.15/0.59 % Termbank termtop insertions : 5923
% 0.15/0.59 % Search garbage collected termcells : 921
% 0.15/0.59
% 0.15/0.59 % -------------------------------------------------
% 0.15/0.59 % User time : 0.008 s
% 0.15/0.59 % System time : 0.001 s
% 0.15/0.59 % Total time : 0.009 s
% 0.15/0.59 % Maximum resident set size: 3672 pages
% 0.15/0.59
% 0.15/0.59 % -------------------------------------------------
% 0.15/0.59 % User time : 0.010 s
% 0.15/0.59 % System time : 0.006 s
% 0.15/0.59 % Total time : 0.016 s
% 0.15/0.59 % Maximum resident set size: 4864 pages
% 0.15/0.59 % E exiting
%------------------------------------------------------------------------------