%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET090-7 : 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 : n015.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 02:13:31 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 11 unt; 3 nHn; 21 RR)
% Number of literals : 52 ( 15 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(member_exists2,axiom,
( ~ member(X1,universal_class)
| singleton(member_of(singleton(X1))) = singleton(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_exists2) ).
cnf(singleton_in_unordered_pair2,axiom,
subclass(singleton(X1),unordered_pair(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_in_unordered_pair2) ).
cnf(unordered_pair_equals_singleton1,axiom,
( unordered_pair(X2,X1) = singleton(X2)
| member(X1,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_equals_singleton1) ).
cnf(subclass_members,axiom,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(singleton_set,axiom,
unordered_pair(X1,X1) = singleton(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(only_member_in_singleton,axiom,
( ~ member(X1,singleton(X2))
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
cnf(set_in_its_singleton,axiom,
( ~ member(X1,universal_class)
| member(X1,singleton(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_in_its_singleton) ).
cnf(prove_member_of_singleton_is_unique_2,negated_conjecture,
member_of(singleton(u)) != u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_2) ).
cnf(prove_member_of_singleton_is_unique_1,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_member_of_singleton_is_unique_1) ).
cnf(c_0_9,plain,
( ~ member(X1,universal_class)
| singleton(member_of(singleton(X1))) = singleton(X1) ),
inference(fof_simplification,[status(thm)],[member_exists2]) ).
cnf(c_0_10,axiom,
subclass(singleton(X1),unordered_pair(X2,X1)),
singleton_in_unordered_pair2 ).
cnf(c_0_11,plain,
( ~ member(X1,universal_class)
| singleton(member_of(singleton(X1))) = singleton(X1) ),
c_0_9 ).
cnf(c_0_12,axiom,
( unordered_pair(X2,X1) = singleton(X2)
| member(X1,universal_class) ),
unordered_pair_equals_singleton1 ).
cnf(c_0_13,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
inference(fof_simplification,[status(thm)],[subclass_members]) ).
cnf(c_0_14,plain,
( ~ member(X1,universal_class)
| subclass(singleton(X1),unordered_pair(X2,member_of(singleton(X1)))) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,axiom,
unordered_pair(X1,X1) = singleton(X1),
singleton_set ).
cnf(c_0_16,plain,
( subclass(singleton(X1),singleton(X2))
| member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_17,plain,
( ~ member(X1,singleton(X2))
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[only_member_in_singleton]) ).
cnf(c_0_18,plain,
( ~ member(X3,X1)
| ~ subclass(X1,X2)
| member(X3,X2) ),
c_0_13 ).
cnf(c_0_19,plain,
subclass(singleton(X1),singleton(member_of(singleton(X1)))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_20,plain,
( ~ member(X1,singleton(X2))
| X1 = X2 ),
c_0_17 ).
cnf(c_0_21,plain,
( ~ member(X1,singleton(X2))
| member(X1,singleton(member_of(singleton(X2)))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( ~ member(X1,universal_class)
| member(X1,singleton(X1)) ),
inference(fof_simplification,[status(thm)],[set_in_its_singleton]) ).
cnf(c_0_23,negated_conjecture,
member_of(singleton(u)) != u,
inference(fof_simplification,[status(thm)],[prove_member_of_singleton_is_unique_2]) ).
cnf(c_0_24,plain,
( ~ member(X1,singleton(X2))
| X1 = member_of(singleton(X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( ~ member(X1,universal_class)
| member(X1,singleton(X1)) ),
c_0_22 ).
cnf(c_0_26,negated_conjecture,
member_of(singleton(u)) != u,
c_0_23 ).
cnf(c_0_27,plain,
( ~ member(X1,universal_class)
| member_of(singleton(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
member(u,universal_class),
prove_member_of_singleton_is_unique_1 ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET090-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:54:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.45 % Version: 3.5.1
% 0.10/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % new_bool_1 with pid 602067 completed with status 0
% 0.10/0.45 % Result found by new_bool_1
% 0.10/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.45 % Search class: FGHSM-FFMS21-MFFFFFNN
% 0.10/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.45 % SubtermCWHack with pid 602070 completed with status 0
% 0.10/0.45 % Result found by SubtermCWHack
% 0.10/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.45 % Search class: FGHSM-FFMS21-MFFFFFNN
% 0.10/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.45 % Preprocessing time : 0.001 s
% 0.10/0.45
% 0.10/0.45 % Proof found!
% 0.10/0.45 % SZS status Unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45 % Parsed axioms : 135
% 0.10/0.45 % Removed by relevancy pruning/SinE : 83
% 0.10/0.45 % Initial clauses : 52
% 0.10/0.45 % Removed in clause preprocessing : 0
% 0.10/0.45 % Initial clauses in saturation : 52
% 0.10/0.45 % Processed clauses : 285
% 0.10/0.45 % ...of these trivial : 7
% 0.10/0.45 % ...subsumed : 144
% 0.10/0.45 % ...remaining for further processing : 134
% 0.10/0.45 % Other redundant clauses eliminated : 7
% 0.10/0.45 % Clauses deleted for lack of memory : 0
% 0.10/0.45 % Backward-subsumed : 4
% 0.10/0.45 % Backward-rewritten : 6
% 0.10/0.45 % Generated clauses : 1238
% 0.10/0.45 % ...of the previous two non-redundant : 831
% 0.10/0.45 % ...aggressively subsumed : 0
% 0.10/0.45 % Contextual simplify-reflections : 3
% 0.10/0.45 % Paramodulations : 1227
% 0.10/0.45 % Factorizations : 3
% 0.10/0.45 % NegExts : 0
% 0.10/0.45 % Equation resolutions : 8
% 0.10/0.45 % Disequality decompositions : 0
% 0.10/0.45 % Total rewrite steps : 395
% 0.10/0.45 % ...of those cached : 306
% 0.10/0.45 % Propositional unsat checks : 0
% 0.10/0.45 % Propositional check models : 0
% 0.10/0.45 % Propositional check unsatisfiable : 0
% 0.10/0.45 % Propositional clauses : 0
% 0.10/0.45 % Propositional clauses after purity: 0
% 0.10/0.45 % Propositional unsat core size : 0
% 0.10/0.45 % Propositional preprocessing time : 0.000
% 0.10/0.45 % Propositional encoding time : 0.000
% 0.10/0.45 % Propositional solver time : 0.000
% 0.10/0.45 % Success case prop preproc time : 0.000
% 0.10/0.45 % Success case prop encoding time : 0.000
% 0.10/0.45 % Success case prop solver time : 0.000
% 0.10/0.45 % Current number of processed clauses : 122
% 0.10/0.45 % Positive orientable unit clauses : 30
% 0.10/0.45 % Positive unorientable unit clauses: 1
% 0.10/0.45 % Negative unit clauses : 4
% 0.10/0.45 % Non-unit-clauses : 87
% 0.10/0.45 % Current number of unprocessed clauses: 567
% 0.10/0.45 % ...number of literals in the above : 1739
% 0.10/0.45 % Current number of archived formulas : 0
% 0.10/0.45 % Current number of archived clauses : 10
% 0.10/0.45 % Clause-clause subsumption calls (NU) : 735
% 0.10/0.45 % Rec. Clause-clause subsumption calls : 629
% 0.10/0.45 % Non-unit clause-clause subsumptions : 140
% 0.10/0.45 % Unit Clause-clause subsumption calls : 63
% 0.10/0.45 % Rewrite failures with RHS unbound : 0
% 0.10/0.45 % BW rewrite match attempts : 13
% 0.10/0.45 % BW rewrite match successes : 7
% 0.10/0.45 % Condensation attempts : 0
% 0.10/0.45 % Condensation successes : 0
% 0.10/0.45 % Termbank termtop insertions : 12995
% 0.10/0.45 % Search garbage collected termcells : 464
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.010 s
% 0.10/0.45 % System time : 0.004 s
% 0.10/0.45 % Total time : 0.014 s
% 0.10/0.45 % Maximum resident set size: 3688 pages
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.014 s
% 0.10/0.45 % System time : 0.008 s
% 0.10/0.45 % Total time : 0.022 s
% 0.10/0.45 % Maximum resident set size: 4864 pages
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------