%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM019-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:44:15 PM UTC 2026
% Result : Unsatisfiable 0.19s 5.52s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 19 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity,hypothesis,
( ~ equalish(X1,X3)
| ~ equalish(X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
cnf(reflexivity,hypothesis,
equalish(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
cnf(prove_b_equals_a,negated_conjecture,
~ equalish(aa,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_equals_a) ).
cnf(a_equals_aa,hypothesis,
equalish(a,aa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_aa) ).
cnf(c_0_4,hypothesis,
( ~ equalish(X1,X3)
| ~ equalish(X1,X2)
| equalish(X2,X3) ),
inference(fof_simplification,[status(thm)],[transitivity]) ).
cnf(c_0_5,hypothesis,
( ~ equalish(X1,X3)
| ~ equalish(X1,X2)
| equalish(X2,X3) ),
c_0_4 ).
cnf(c_0_6,hypothesis,
equalish(X1,X1),
reflexivity ).
cnf(c_0_7,negated_conjecture,
~ equalish(aa,a),
inference(fof_simplification,[status(thm)],[prove_b_equals_a]) ).
cnf(c_0_8,hypothesis,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,hypothesis,
equalish(a,aa),
a_equals_aa ).
cnf(c_0_10,negated_conjecture,
~ equalish(aa,a),
c_0_7 ).
cnf(c_0_11,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM019-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.46 % Computer : n018.cluster.edu
% 0.15/5.46 % Model : x86_64 x86_64
% 0.15/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.46 % Memory : 8046.5625MB
% 0.15/5.46 % OS : Linux 6.8.0-71-generic
% 0.15/5.46 % CPULimit : 300
% 0.15/5.46 % WCLimit : 300
% 0.15/5.46 % DateTime : Mon Sep 21 02:01:04 UTC 2026
% 0.15/5.46 % CPUTime :
% 0.15/5.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/5.50 Running first-order theorem proving
% 0.19/5.50 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
% 0.19/5.52 % Version: 3.5.1
% 0.19/5.52 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/5.52 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/5.52 % Starting new_bool_3 with 300s (1) cores
% 0.19/5.52 % Starting new_bool_1 with 300s (1) cores
% 0.19/5.52 % Starting sh5l with 300s (1) cores
% 0.19/5.52 % new_bool_1 with pid 734537 completed with status 0
% 0.19/5.52 % Result found by new_bool_1
% 0.19/5.52 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/5.52 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/5.52 % Starting new_bool_3 with 300s (1) cores
% 0.19/5.52 % Starting new_bool_1 with 300s (1) cores
% 0.19/5.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/5.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/5.52 % Search class: FHUNM-FFSF21-SFFFFFNN
% 0.19/5.52 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/5.52 % Starting SubtermCWHack with 31s (1) cores
% 0.19/5.52 % SubtermCWHack with pid 734539 completed with status 0
% 0.19/5.52 % Result found by SubtermCWHack
% 0.19/5.52 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/5.52 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/5.52 % Starting new_bool_3 with 300s (1) cores
% 0.19/5.52 % Starting new_bool_1 with 300s (1) cores
% 0.19/5.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.19/5.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/5.52 % Search class: FHUNM-FFSF21-SFFFFFNN
% 0.19/5.52 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/5.52 % Starting SubtermCWHack with 31s (1) cores
% 0.19/5.52 % Preprocessing time : 0.001 s
% 0.19/5.52
% 0.19/5.52 % Proof found!
% 0.19/5.52 % SZS status Unsatisfiable
% 0.19/5.52 % SZS output start CNFRefutation
% See solution above
% 0.19/5.52 % Parsed axioms : 11
% 0.19/5.52 % Removed by relevancy pruning/SinE : 0
% 0.19/5.52 % Initial clauses : 11
% 0.19/5.52 % Removed in clause preprocessing : 0
% 0.19/5.52 % Initial clauses in saturation : 11
% 0.19/5.52 % Processed clauses : 12
% 0.19/5.52 % ...of these trivial : 0
% 0.19/5.52 % ...subsumed : 0
% 0.19/5.52 % ...remaining for further processing : 12
% 0.19/5.52 % Other redundant clauses eliminated : 0
% 0.19/5.52 % Clauses deleted for lack of memory : 0
% 0.19/5.52 % Backward-subsumed : 0
% 0.19/5.52 % Backward-rewritten : 0
% 0.19/5.52 % Generated clauses : 16
% 0.19/5.52 % ...of the previous two non-redundant : 6
% 0.19/5.52 % ...aggressively subsumed : 0
% 0.19/5.52 % Contextual simplify-reflections : 0
% 0.19/5.52 % Paramodulations : 16
% 0.19/5.52 % Factorizations : 0
% 0.19/5.52 % NegExts : 0
% 0.19/5.52 % Equation resolutions : 0
% 0.19/5.52 % Disequality decompositions : 0
% 0.19/5.52 % Total rewrite steps : 3
% 0.19/5.52 % ...of those cached : 0
% 0.19/5.52 % Propositional unsat checks : 0
% 0.19/5.52 % Propositional check models : 0
% 0.19/5.52 % Propositional check unsatisfiable : 0
% 0.19/5.52 % Propositional clauses : 0
% 0.19/5.52 % Propositional clauses after purity: 0
% 0.19/5.52 % Propositional unsat core size : 0
% 0.19/5.52 % Propositional preprocessing time : 0.000
% 0.19/5.52 % Propositional encoding time : 0.000
% 0.19/5.52 % Propositional solver time : 0.000
% 0.19/5.52 % Success case prop preproc time : 0.000
% 0.19/5.52 % Success case prop encoding time : 0.000
% 0.19/5.52 % Success case prop solver time : 0.000
% 0.19/5.52 % Current number of processed clauses : 12
% 0.19/5.52 % Positive orientable unit clauses : 5
% 0.19/5.52 % Positive unorientable unit clauses: 0
% 0.19/5.52 % Negative unit clauses : 2
% 0.19/5.52 % Non-unit-clauses : 5
% 0.19/5.52 % Current number of unprocessed clauses: 5
% 0.19/5.52 % ...number of literals in the above : 10
% 0.19/5.52 % Current number of archived formulas : 0
% 0.19/5.52 % Current number of archived clauses : 0
% 0.19/5.52 % Clause-clause subsumption calls (NU) : 4
% 0.19/5.52 % Rec. Clause-clause subsumption calls : 4
% 0.19/5.52 % Non-unit clause-clause subsumptions : 0
% 0.19/5.52 % Unit Clause-clause subsumption calls : 0
% 0.19/5.52 % Rewrite failures with RHS unbound : 0
% 0.19/5.52 % BW rewrite match attempts : 1
% 0.19/5.52 % BW rewrite match successes : 0
% 0.19/5.52 % Condensation attempts : 0
% 0.19/5.52 % Condensation successes : 0
% 0.19/5.52 % Termbank termtop insertions : 346
% 0.19/5.52 % Search garbage collected termcells : 12
% 0.19/5.52
% 0.19/5.52 % -------------------------------------------------
% 0.19/5.52 % User time : 0.003 s
% 0.19/5.52 % System time : 0.000 s
% 0.19/5.52 % Total time : 0.004 s
% 0.19/5.52 % Maximum resident set size: 3636 pages
% 0.19/5.52
% 0.19/5.52 % -------------------------------------------------
% 0.19/5.52 % User time : 0.007 s
% 0.19/5.52 % System time : 0.003 s
% 0.19/5.52 % Total time : 0.009 s
% 0.19/5.52 % Maximum resident set size: 4608 pages
% 0.19/5.52 % E exiting
%------------------------------------------------------------------------------