%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM657_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:50:00 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 55 ( 33 ~; 7 |; 2 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
nat: $tType ).
tff(decl_23,type,
x: nat ).
tff(decl_24,type,
y: nat ).
tff(decl_25,type,
less: ( nat * nat ) > $o ).
tff(decl_26,type,
more: ( nat * nat ) > $o ).
tff(satz10h,conjecture,
~ ( ~ more(x,y)
=> ( x = y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10h) ).
tff(satz10b,axiom,
! [X2: nat,X3: nat] :
~ ( ( ( X2 = X3 )
=> ~ more(X2,X3) )
=> ~ ~ ( ( more(X2,X3)
=> ~ less(X2,X3) )
=> ~ ( less(X2,X3)
=> ( X2 != X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz10b) ).
tff(l,axiom,
less(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).
tff(c_0_3,negated_conjecture,
~ ~ ( ~ more(x,y)
=> ( x = y ) ),
inference(assume_negation,[status(cth)],[satz10h]) ).
tff(c_0_4,plain,
! [X2: nat,X3: nat] :
~ ( ( ( X2 = X3 )
=> ~ more(X2,X3) )
=> ~ ~ ( ( more(X2,X3)
=> ~ less(X2,X3) )
=> ~ ( less(X2,X3)
=> ( X2 != X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[satz10b]) ).
tff(c_0_5,negated_conjecture,
~ ~ ( ~ more(x,y)
=> ( x = y ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
tff(c_0_6,plain,
! [X4: nat,X5: nat] :
( ( ( X4 != X5 )
| ~ less(X4,X5) )
& ( ~ less(X4,X5)
| ~ more(X4,X5) )
& ( ~ more(X4,X5)
| ( X4 != X5 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
tff(c_0_7,negated_conjecture,
( ( x = y )
| more(x,y) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
tcf(c_0_8,plain,
! [X2: nat,X3: nat] :
( ~ less(X2,X3)
| ~ more(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_9,negated_conjecture,
( ( x = y )
| more(x,y) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_10,plain,
less(x,y),
inference(split_conjunct,[status(thm)],[l]) ).
tcf(c_0_11,plain,
! [X2: nat,X3: nat] :
( ( X2 != X3 )
| ~ less(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_12,negated_conjecture,
x = y,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
tcf(c_0_13,plain,
! [X2: nat] : ~ less(X2,X2),
inference(er,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM657_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 02:50:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 0.10/0.44 % Version: 3.5.1
% 0.10/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.44 % Starting sh5l with 300s (1) cores
% 0.10/0.44 % new_bool_3 with pid 4182435 completed with status 0
% 0.10/0.44 % Result found by new_bool_3
% 0.10/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.44 % Search class: FGHSF-FFSF00-SFFFFFNN
% 0.10/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.44 % SubtermCWHack with pid 4182439 completed with status 0
% 0.10/0.44 % Result found by SubtermCWHack
% 0.10/0.44 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.44 % Search class: FGHSF-FFSF00-SFFFFFNN
% 0.10/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.44 % Preprocessing time : 0.001 s
% 0.10/0.44
% 0.10/0.44 % Proof found!
% 0.10/0.44 % SZS status Theorem
% 0.10/0.44 % SZS output start CNFRefutation
% See solution above
% 0.10/0.44 % Parsed axioms : 9
% 0.10/0.44 % Removed by relevancy pruning/SinE : 6
% 0.10/0.44 % Initial clauses : 5
% 0.10/0.44 % Removed in clause preprocessing : 0
% 0.10/0.44 % Initial clauses in saturation : 5
% 0.10/0.44 % Processed clauses : 8
% 0.10/0.44 % ...of these trivial : 0
% 0.10/0.44 % ...subsumed : 0
% 0.10/0.44 % ...remaining for further processing : 8
% 0.10/0.44 % Other redundant clauses eliminated : 2
% 0.10/0.44 % Clauses deleted for lack of memory : 0
% 0.10/0.44 % Backward-subsumed : 0
% 0.10/0.44 % Backward-rewritten : 2
% 0.10/0.44 % Generated clauses : 3
% 0.10/0.44 % ...of the previous two non-redundant : 3
% 0.10/0.44 % ...aggressively subsumed : 0
% 0.10/0.44 % Contextual simplify-reflections : 0
% 0.10/0.44 % Paramodulations : 1
% 0.10/0.44 % Factorizations : 0
% 0.10/0.44 % NegExts : 0
% 0.10/0.44 % Equation resolutions : 2
% 0.10/0.44 % Disequality decompositions : 0
% 0.10/0.44 % Total rewrite steps : 4
% 0.10/0.44 % ...of those cached : 2
% 0.10/0.44 % Propositional unsat checks : 0
% 0.10/0.44 % Propositional check models : 0
% 0.10/0.44 % Propositional check unsatisfiable : 0
% 0.10/0.44 % Propositional clauses : 0
% 0.10/0.44 % Propositional clauses after purity: 0
% 0.10/0.44 % Propositional unsat core size : 0
% 0.10/0.44 % Propositional preprocessing time : 0.000
% 0.10/0.44 % Propositional encoding time : 0.000
% 0.10/0.44 % Propositional solver time : 0.000
% 0.10/0.44 % Success case prop preproc time : 0.000
% 0.10/0.44 % Success case prop encoding time : 0.000
% 0.10/0.44 % Success case prop solver time : 0.000
% 0.10/0.44 % Current number of processed clauses : 4
% 0.10/0.44 % Positive orientable unit clauses : 1
% 0.10/0.44 % Positive unorientable unit clauses: 0
% 0.10/0.44 % Negative unit clauses : 2
% 0.10/0.44 % Non-unit-clauses : 1
% 0.10/0.44 % Current number of unprocessed clauses: 0
% 0.10/0.44 % ...number of literals in the above : 0
% 0.10/0.44 % Current number of archived formulas : 0
% 0.10/0.44 % Current number of archived clauses : 2
% 0.10/0.44 % Clause-clause subsumption calls (NU) : 0
% 0.10/0.44 % Rec. Clause-clause subsumption calls : 0
% 0.10/0.44 % Non-unit clause-clause subsumptions : 0
% 0.10/0.44 % Unit Clause-clause subsumption calls : 0
% 0.10/0.44 % Rewrite failures with RHS unbound : 0
% 0.10/0.44 % BW rewrite match attempts : 1
% 0.10/0.44 % BW rewrite match successes : 1
% 0.10/0.44 % Condensation attempts : 0
% 0.10/0.44 % Condensation successes : 0
% 0.10/0.44 % Termbank termtop insertions : 354
% 0.10/0.44 % Search garbage collected termcells : 70
% 0.10/0.44
% 0.10/0.44 % -------------------------------------------------
% 0.10/0.44 % User time : 0.004 s
% 0.10/0.44 % System time : 0.000 s
% 0.10/0.44 % Total time : 0.004 s
% 0.10/0.44 % Maximum resident set size: 3580 pages
% 0.10/0.44
% 0.10/0.44 % -------------------------------------------------
% 0.10/0.44 % User time : 0.007 s
% 0.10/0.44 % System time : 0.003 s
% 0.10/0.44 % Total time : 0.010 s
% 0.10/0.44 % Maximum resident set size: 4864 pages
% 0.10/0.44 % E exiting
%------------------------------------------------------------------------------