%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET046-5 : TPTP v9.3.1. Released v1.0.0.
% 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 02:13:16 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.53s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 2 unt; 4 nHn; 7 RR)
% Number of literals : 24 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( ~ element(X2,X1)
| ~ element(X1,X2)
| ~ element(X1,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_3,negated_conjecture,
( element(X1,a)
| element(f(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_2,negated_conjecture,
( element(X1,a)
| element(X1,f(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(c_0_3,negated_conjecture,
( ~ element(X2,X1)
| ~ element(X1,X2)
| ~ element(X1,a) ),
inference(fof_simplification,[status(thm)],[clause_1]) ).
cnf(c_0_4,negated_conjecture,
( ~ element(X2,X1)
| ~ element(X1,X2)
| ~ element(X1,a) ),
c_0_3 ).
cnf(c_0_5,negated_conjecture,
( element(X1,a)
| element(f(X1),X1) ),
clause_3 ).
cnf(c_0_6,negated_conjecture,
( ~ element(f(a),X1)
| ~ element(X1,f(a))
| element(a,a) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,negated_conjecture,
( element(X1,a)
| element(X1,f(X1)) ),
clause_2 ).
cnf(c_0_8,negated_conjecture,
element(a,a),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( ~ element(a,X1)
| ~ element(X1,a) ),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET046-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n013.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 04:47:05 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.51 Running first-order theorem proving
% 0.25/0.51 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
% 0.25/0.53 % Version: 3.5.1
% 0.25/0.53 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.25/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.25/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.53 % Starting sh5l with 300s (1) cores
% 0.25/0.53 % new_bool_1 with pid 4163363 completed with status 0
% 0.25/0.53 % Result found by new_bool_1
% 0.25/0.53 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.25/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.25/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.53 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.53 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.53 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.25/0.53 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.53 % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.53 % SubtermCWHack with pid 4163365 completed with status 0
% 0.25/0.53 % Result found by SubtermCWHack
% 0.25/0.53 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.25/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.53 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.25/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.53 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.25/0.53 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.25/0.53 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.25/0.53 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.53 % Starting SubtermCWHack with 31s (1) cores
% 0.25/0.53 % Preprocessing time : 0.002 s
% 0.25/0.53
% 0.25/0.53 % Proof found!
% 0.25/0.53 % SZS status Unsatisfiable
% 0.25/0.53 % SZS output start CNFRefutation
% See solution above
% 0.25/0.53 % Parsed axioms : 3
% 0.25/0.53 % Removed by relevancy pruning/SinE : 0
% 0.25/0.53 % Initial clauses : 3
% 0.25/0.53 % Removed in clause preprocessing : 0
% 0.25/0.53 % Initial clauses in saturation : 3
% 0.25/0.53 % Processed clauses : 6
% 0.25/0.53 % ...of these trivial : 0
% 0.25/0.53 % ...subsumed : 0
% 0.25/0.53 % ...remaining for further processing : 6
% 0.25/0.53 % Other redundant clauses eliminated : 0
% 0.25/0.53 % Clauses deleted for lack of memory : 0
% 0.25/0.53 % Backward-subsumed : 0
% 0.25/0.53 % Backward-rewritten : 1
% 0.25/0.53 % Generated clauses : 6
% 0.25/0.53 % ...of the previous two non-redundant : 4
% 0.25/0.53 % ...aggressively subsumed : 0
% 0.25/0.53 % Contextual simplify-reflections : 1
% 0.25/0.53 % Paramodulations : 6
% 0.25/0.53 % Factorizations : 0
% 0.25/0.53 % NegExts : 0
% 0.25/0.53 % Equation resolutions : 0
% 0.25/0.53 % Disequality decompositions : 0
% 0.25/0.53 % Total rewrite steps : 3
% 0.25/0.54 % ...of those cached : 2
% 0.25/0.54 % Propositional unsat checks : 0
% 0.25/0.54 % Propositional check models : 0
% 0.25/0.54 % Propositional check unsatisfiable : 0
% 0.25/0.54 % Propositional clauses : 0
% 0.25/0.54 % Propositional clauses after purity: 0
% 0.25/0.54 % Propositional unsat core size : 0
% 0.25/0.54 % Propositional preprocessing time : 0.000
% 0.25/0.54 % Propositional encoding time : 0.000
% 0.25/0.54 % Propositional solver time : 0.000
% 0.25/0.54 % Success case prop preproc time : 0.000
% 0.25/0.54 % Success case prop encoding time : 0.000
% 0.25/0.54 % Success case prop solver time : 0.000
% 0.25/0.54 % Current number of processed clauses : 5
% 0.25/0.54 % Positive orientable unit clauses : 1
% 0.25/0.54 % Positive unorientable unit clauses: 0
% 0.25/0.54 % Negative unit clauses : 0
% 0.25/0.54 % Non-unit-clauses : 4
% 0.25/0.54 % Current number of unprocessed clauses: 1
% 0.25/0.54 % ...number of literals in the above : 3
% 0.25/0.54 % Current number of archived formulas : 0
% 0.25/0.54 % Current number of archived clauses : 1
% 0.25/0.54 % Clause-clause subsumption calls (NU) : 8
% 0.25/0.54 % Rec. Clause-clause subsumption calls : 8
% 0.25/0.54 % Non-unit clause-clause subsumptions : 1
% 0.25/0.54 % Unit Clause-clause subsumption calls : 0
% 0.25/0.54 % Rewrite failures with RHS unbound : 0
% 0.25/0.54 % BW rewrite match attempts : 1
% 0.25/0.54 % BW rewrite match successes : 1
% 0.25/0.54 % Condensation attempts : 0
% 0.25/0.54 % Condensation successes : 0
% 0.25/0.54 % Termbank termtop insertions : 181
% 0.25/0.54 % Search garbage collected termcells : 7
% 0.25/0.54
% 0.25/0.54 % -------------------------------------------------
% 0.25/0.54 % User time : 0.003 s
% 0.25/0.54 % System time : 0.002 s
% 0.25/0.54 % Total time : 0.005 s
% 0.25/0.54 % Maximum resident set size: 3628 pages
% 0.25/0.54
% 0.25/0.54 % -------------------------------------------------
% 0.25/0.54 % User time : 0.005 s
% 0.25/0.54 % System time : 0.008 s
% 0.25/0.54 % Total time : 0.013 s
% 0.25/0.54 % Maximum resident set size: 4864 pages
% 0.25/0.54 % E exiting
%------------------------------------------------------------------------------