%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET239-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:13:57 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.60s
% Output : CNFRefutation 0.13s
% 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 : 16 ( 2 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 19 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection1,axiom,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(restriction1,axiom,
intersection(X1,cross_product(X2,X3)) = restrict(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(prove_restriction_alternate_defn2_2,negated_conjecture,
~ member(z,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_alternate_defn2_2) ).
cnf(prove_restriction_alternate_defn2_1,negated_conjecture,
member(z,restrict(xr,x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_alternate_defn2_1) ).
cnf(c_0_4,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
inference(fof_simplification,[status(thm)],[intersection1]) ).
cnf(c_0_5,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
c_0_4 ).
cnf(c_0_6,axiom,
intersection(X1,cross_product(X2,X3)) = restrict(X1,X2,X3),
restriction1 ).
cnf(c_0_7,negated_conjecture,
~ member(z,xr),
inference(fof_simplification,[status(thm)],[prove_restriction_alternate_defn2_2]) ).
cnf(c_0_8,plain,
( ~ member(X1,restrict(X2,X3,X4))
| member(X1,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
member(z,restrict(xr,x,y)),
prove_restriction_alternate_defn2_1 ).
cnf(c_0_10,negated_conjecture,
~ member(z,xr),
c_0_7 ).
cnf(c_0_11,negated_conjecture,
$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 : SET239-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.53 % Computer : n004.cluster.edu
% 0.11/0.53 % Model : x86_64 x86_64
% 0.11/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.53 % Memory : 8046.5625MB
% 0.11/0.53 % OS : Linux 6.8.0-71-generic
% 0.11/0.53 % CPULimit : 300
% 0.11/0.53 % WCLimit : 300
% 0.11/0.53 % DateTime : Mon Sep 21 05:02:21 UTC 2026
% 0.11/0.53 % CPUTime :
% 0.11/0.54 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.58 Running first-order theorem proving
% 0.13/0.58 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
% 0.13/0.60 % Version: 3.5.1
% 0.13/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.60 % Starting sh5l with 300s (1) cores
% 0.13/0.60 % new_bool_1 with pid 2302774 completed with status 0
% 0.13/0.60 % Result found by new_bool_1
% 0.13/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.60 % Search class: FGHSM-FFMF31-MFFFFFNN
% 0.13/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.60 % SubtermCWHack with pid 2302778 completed with status 0
% 0.13/0.60 % Result found by SubtermCWHack
% 0.13/0.60 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.60 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.60 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.60 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.60 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.60 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.60 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.60 % Search class: FGHSM-FFMF31-MFFFFFNN
% 0.13/0.60 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.60 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.60 % Preprocessing time : 0.001 s
% 0.13/0.60
% 0.13/0.60 % Proof found!
% 0.13/0.60 % SZS status Unsatisfiable
% 0.13/0.60 % SZS output start CNFRefutation
% See solution above
% 0.13/0.60 % Parsed axioms : 114
% 0.13/0.60 % Removed by relevancy pruning/SinE : 79
% 0.13/0.60 % Initial clauses : 35
% 0.13/0.60 % Removed in clause preprocessing : 0
% 0.13/0.60 % Initial clauses in saturation : 35
% 0.13/0.60 % Processed clauses : 28
% 0.13/0.60 % ...of these trivial : 0
% 0.13/0.60 % ...subsumed : 0
% 0.13/0.60 % ...remaining for further processing : 28
% 0.13/0.60 % Other redundant clauses eliminated : 2
% 0.13/0.60 % Clauses deleted for lack of memory : 0
% 0.13/0.60 % Backward-subsumed : 0
% 0.13/0.60 % Backward-rewritten : 0
% 0.13/0.60 % Generated clauses : 23
% 0.13/0.60 % ...of the previous two non-redundant : 19
% 0.13/0.60 % ...aggressively subsumed : 0
% 0.13/0.60 % Contextual simplify-reflections : 0
% 0.13/0.60 % Paramodulations : 21
% 0.13/0.60 % Factorizations : 0
% 0.13/0.60 % NegExts : 0
% 0.13/0.60 % Equation resolutions : 2
% 0.13/0.60 % Disequality decompositions : 0
% 0.13/0.60 % Total rewrite steps : 2
% 0.13/0.60 % ...of those cached : 0
% 0.13/0.60 % Propositional unsat checks : 0
% 0.13/0.60 % Propositional check models : 0
% 0.13/0.60 % Propositional check unsatisfiable : 0
% 0.13/0.60 % Propositional clauses : 0
% 0.13/0.60 % Propositional clauses after purity: 0
% 0.13/0.60 % Propositional unsat core size : 0
% 0.13/0.60 % Propositional preprocessing time : 0.000
% 0.13/0.60 % Propositional encoding time : 0.000
% 0.13/0.60 % Propositional solver time : 0.000
% 0.13/0.60 % Success case prop preproc time : 0.000
% 0.13/0.60 % Success case prop encoding time : 0.000
% 0.13/0.60 % Success case prop solver time : 0.000
% 0.13/0.60 % Current number of processed clauses : 26
% 0.13/0.60 % Positive orientable unit clauses : 8
% 0.13/0.60 % Positive unorientable unit clauses: 0
% 0.13/0.60 % Negative unit clauses : 1
% 0.13/0.60 % Non-unit-clauses : 17
% 0.13/0.60 % Current number of unprocessed clauses: 26
% 0.13/0.60 % ...number of literals in the above : 64
% 0.13/0.60 % Current number of archived formulas : 0
% 0.13/0.60 % Current number of archived clauses : 0
% 0.13/0.60 % Clause-clause subsumption calls (NU) : 58
% 0.13/0.60 % Rec. Clause-clause subsumption calls : 47
% 0.13/0.60 % Non-unit clause-clause subsumptions : 0
% 0.13/0.60 % Unit Clause-clause subsumption calls : 3
% 0.13/0.60 % Rewrite failures with RHS unbound : 0
% 0.13/0.60 % BW rewrite match attempts : 1
% 0.13/0.60 % BW rewrite match successes : 0
% 0.13/0.60 % Condensation attempts : 0
% 0.13/0.60 % Condensation successes : 0
% 0.13/0.60 % Termbank termtop insertions : 1848
% 0.13/0.60 % Search garbage collected termcells : 429
% 0.13/0.60
% 0.13/0.60 % -------------------------------------------------
% 0.13/0.60 % User time : 0.004 s
% 0.13/0.60 % System time : 0.002 s
% 0.13/0.60 % Total time : 0.006 s
% 0.13/0.60 % Maximum resident set size: 3744 pages
% 0.13/0.60
% 0.13/0.60 % -------------------------------------------------
% 0.13/0.60 % User time : 0.009 s
% 0.13/0.60 % System time : 0.005 s
% 0.13/0.60 % Total time : 0.014 s
% 0.13/0.60 % Maximum resident set size: 4864 pages
% 0.13/0.60 % E exiting
%------------------------------------------------------------------------------