%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : FLD056-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:22:53 PM UTC 2026
% Result : Unsatisfiable 0.24s 5.76s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 10 ( 6 unt; 4 nHn; 10 RR)
% Number of literals : 21 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(totality_of_order_relation,axiom,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(not_less_or_equal_2,negated_conjecture,
~ less_or_equal(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_2) ).
cnf(c_0_3,plain,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[totality_of_order_relation]) ).
cnf(c_0_4,plain,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
c_0_3 ).
cnf(c_0_5,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_6,negated_conjecture,
~ less_or_equal(a,a),
inference(fof_simplification,[status(thm)],[not_less_or_equal_2]) ).
cnf(c_0_7,hypothesis,
( ~ defined(X1)
| less_or_equal(X1,a)
| less_or_equal(a,X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
~ less_or_equal(a,a),
c_0_6 ).
cnf(c_0_9,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_5]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : FLD056-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/5.66 % Computer : n006.cluster.edu
% 0.20/5.66 % Model : x86_64 x86_64
% 0.20/5.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/5.66 % Memory : 8046.5625MB
% 0.20/5.66 % OS : Linux 6.8.0-71-generic
% 0.20/5.66 % CPULimit : 300
% 0.20/5.66 % WCLimit : 300
% 0.20/5.66 % DateTime : Mon Sep 21 15:43:04 UTC 2026
% 0.20/5.67 % CPUTime :
% 0.20/5.67 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/5.73 Running first-order theorem proving
% 0.24/5.73 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
% 0.24/5.76 % Version: 3.5.1
% 0.24/5.76 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/5.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/5.76 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/5.76 % Starting new_bool_3 with 300s (1) cores
% 0.24/5.76 % Starting new_bool_1 with 300s (1) cores
% 0.24/5.76 % Starting sh5l with 300s (1) cores
% 0.24/5.76 % new_bool_3 with pid 3184607 completed with status 0
% 0.24/5.76 % Result found by new_bool_3
% 0.24/5.76 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/5.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/5.76 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/5.76 % Starting new_bool_3 with 300s (1) cores
% 0.24/5.76 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/5.76 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/5.76 % Search class: FGUNF-FFSF00-SFFFFFNN
% 0.24/5.76 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/5.76 % Starting SubtermCWHack with 31s (1) cores
% 0.24/5.76 % SubtermCWHack with pid 3184615 completed with status 0
% 0.24/5.76 % Result found by SubtermCWHack
% 0.24/5.76 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/5.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/5.76 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/5.76 % Starting new_bool_3 with 300s (1) cores
% 0.24/5.76 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/5.76 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/5.76 % Search class: FGUNF-FFSF00-SFFFFFNN
% 0.24/5.76 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.24/5.76 % Starting SubtermCWHack with 31s (1) cores
% 0.24/5.76 % Preprocessing time : 0.002 s
% 0.24/5.76
% 0.24/5.76 % Proof found!
% 0.24/5.76 % SZS status Unsatisfiable
% 0.24/5.76 % SZS output start CNFRefutation
% See solution above
% 0.24/5.76 % Parsed axioms : 28
% 0.24/5.76 % Removed by relevancy pruning/SinE : 11
% 0.24/5.76 % Initial clauses : 17
% 0.24/5.76 % Removed in clause preprocessing : 0
% 0.24/5.76 % Initial clauses in saturation : 17
% 0.24/5.76 % Processed clauses : 12
% 0.24/5.76 % ...of these trivial : 0
% 0.24/5.76 % ...subsumed : 0
% 0.24/5.76 % ...remaining for further processing : 12
% 0.24/5.76 % Other redundant clauses eliminated : 0
% 0.24/5.76 % Clauses deleted for lack of memory : 0
% 0.24/5.76 % Backward-subsumed : 0
% 0.24/5.76 % Backward-rewritten : 0
% 0.24/5.76 % Generated clauses : 9
% 0.24/5.76 % ...of the previous two non-redundant : 5
% 0.24/5.76 % ...aggressively subsumed : 0
% 0.24/5.76 % Contextual simplify-reflections : 0
% 0.24/5.76 % Paramodulations : 9
% 0.24/5.76 % Factorizations : 0
% 0.24/5.76 % NegExts : 0
% 0.24/5.76 % Equation resolutions : 0
% 0.24/5.76 % Disequality decompositions : 0
% 0.24/5.76 % Total rewrite steps : 2
% 0.24/5.76 % ...of those cached : 0
% 0.24/5.76 % Propositional unsat checks : 0
% 0.24/5.76 % Propositional check models : 0
% 0.24/5.76 % Propositional check unsatisfiable : 0
% 0.24/5.76 % Propositional clauses : 0
% 0.24/5.76 % Propositional clauses after purity: 0
% 0.24/5.76 % Propositional unsat core size : 0
% 0.24/5.76 % Propositional preprocessing time : 0.000
% 0.24/5.76 % Propositional encoding time : 0.000
% 0.24/5.76 % Propositional solver time : 0.000
% 0.24/5.76 % Success case prop preproc time : 0.000
% 0.24/5.76 % Success case prop encoding time : 0.000
% 0.24/5.76 % Success case prop solver time : 0.000
% 0.24/5.76 % Current number of processed clauses : 12
% 0.24/5.76 % Positive orientable unit clauses : 5
% 0.24/5.76 % Positive unorientable unit clauses: 0
% 0.24/5.76 % Negative unit clauses : 1
% 0.24/5.76 % Non-unit-clauses : 6
% 0.24/5.76 % Current number of unprocessed clauses: 10
% 0.24/5.76 % ...number of literals in the above : 40
% 0.24/5.76 % Current number of archived formulas : 0
% 0.24/5.76 % Current number of archived clauses : 0
% 0.24/5.76 % Clause-clause subsumption calls (NU) : 0
% 0.24/5.76 % Rec. Clause-clause subsumption calls : 0
% 0.24/5.76 % Non-unit clause-clause subsumptions : 0
% 0.24/5.76 % Unit Clause-clause subsumption calls : 0
% 0.24/5.76 % Rewrite failures with RHS unbound : 0
% 0.24/5.76 % BW rewrite match attempts : 0
% 0.24/5.76 % BW rewrite match successes : 0
% 0.24/5.76 % Condensation attempts : 0
% 0.24/5.76 % Condensation successes : 0
% 0.24/5.76 % Termbank termtop insertions : 783
% 0.24/5.76 % Search garbage collected termcells : 145
% 0.24/5.76
% 0.24/5.76 % -------------------------------------------------
% 0.24/5.76 % User time : 0.005 s
% 0.24/5.76 % System time : 0.002 s
% 0.24/5.76 % Total time : 0.007 s
% 0.24/5.76 % Maximum resident set size: 3660 pages
% 0.24/5.76
% 0.24/5.76 % -------------------------------------------------
% 0.24/5.76 % User time : 0.008 s
% 0.24/5.76 % System time : 0.008 s
% 0.24/5.76 % Total time : 0.016 s
% 0.24/5.76 % Maximum resident set size: 4864 pages
% 0.24/5.76 % E exiting
%------------------------------------------------------------------------------