%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET060+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 02:13:20 PM UTC 2026
% Result : Theorem 0.14s 5.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 40 ( 19 ~; 11 |; 7 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 2 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(special_classes_lemma,conjecture,
! [X1,X2] : ~ member(X2,intersection(complement(X1),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',special_classes_lemma) ).
fof(complement,axiom,
! [X1,X5] :
( member(X5,complement(X1))
<=> ( ~ member(X5,X1)
& member(X5,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',complement) ).
fof(intersection,axiom,
! [X1,X2,X5] :
( member(X5,intersection(X1,X2))
<=> ( member(X5,X2)
& member(X5,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',intersection) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] : ~ member(X2,intersection(complement(X1),X1)),
inference(assume_negation,[status(cth)],[special_classes_lemma]) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2] : ~ member(X2,intersection(complement(X1),X1)),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_5,plain,
! [X1,X5] :
( member(X5,complement(X1))
<=> ( ~ member(X5,X1)
& member(X5,universal_class) ) ),
inference(fof_simplification,[status(thm)],[complement]) ).
fof(c_0_6,plain,
! [X12,X13,X14] :
( ( member(X14,intersection(X12,X13))
| ~ member(X14,X13)
| ~ member(X14,X12) )
& ( ~ member(X14,intersection(X12,X13))
| member(X14,X13) )
& ( ~ member(X14,intersection(X12,X13))
| member(X14,X12) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])])]) ).
fof(c_0_7,negated_conjecture,
member(esk2_0,intersection(complement(esk1_0),esk1_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,plain,
! [X18,X19] :
( ( member(X19,complement(X18))
| member(X19,X18)
| ~ member(X19,universal_class) )
& ( ~ member(X19,complement(X18))
| ~ member(X19,X18) )
& ( ~ member(X19,complement(X18))
| member(X19,universal_class) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
cnf(c_0_9,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
member(esk2_0,intersection(complement(esk1_0),esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ member(X1,intersection(X3,X2))
| member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
member(esk2_0,complement(esk1_0)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
member(esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET060+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n007.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 04:46:25 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.44 % Version: 3.5.1
% 0.14/5.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.44 % Starting sh5l with 300s (1) cores
% 0.14/5.44 % new_bool_3 with pid 204410 completed with status 0
% 0.14/5.44 % Result found by new_bool_3
% 0.14/5.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.44 % Search class: FGHSM-FFSF31-MFFFFFNN
% 0.14/5.44 % partial match(1): FGHSM-FFMF31-MFFFFFNN
% 0.14/5.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.44 % Starting SubtermCWHack with 31s (1) cores
% 0.14/5.44 % SubtermCWHack with pid 204413 completed with status 0
% 0.14/5.44 % Result found by SubtermCWHack
% 0.14/5.44 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.44 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/5.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/5.44 % Search class: FGHSM-FFSF31-MFFFFFNN
% 0.14/5.44 % partial match(1): FGHSM-FFMF31-MFFFFFNN
% 0.14/5.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.44 % Starting SubtermCWHack with 31s (1) cores
% 0.14/5.44 % Preprocessing time : 0.002 s
% 0.14/5.44
% 0.14/5.44 % Proof found!
% 0.14/5.44 % SZS status Theorem
% 0.14/5.44 % SZS output start CNFRefutation
% See solution above
% 0.14/5.44 % Parsed axioms : 44
% 0.14/5.44 % Removed by relevancy pruning/SinE : 32
% 0.14/5.44 % Initial clauses : 20
% 0.14/5.44 % Removed in clause preprocessing : 0
% 0.14/5.44 % Initial clauses in saturation : 20
% 0.14/5.44 % Processed clauses : 15
% 0.14/5.44 % ...of these trivial : 0
% 0.14/5.44 % ...subsumed : 0
% 0.14/5.44 % ...remaining for further processing : 15
% 0.14/5.44 % Other redundant clauses eliminated : 0
% 0.14/5.44 % Clauses deleted for lack of memory : 0
% 0.14/5.44 % Backward-subsumed : 0
% 0.14/5.44 % Backward-rewritten : 0
% 0.14/5.44 % Generated clauses : 8
% 0.14/5.44 % ...of the previous two non-redundant : 5
% 0.14/5.44 % ...aggressively subsumed : 0
% 0.14/5.44 % Contextual simplify-reflections : 0
% 0.14/5.44 % Paramodulations : 8
% 0.14/5.44 % Factorizations : 0
% 0.14/5.44 % NegExts : 0
% 0.14/5.44 % Equation resolutions : 0
% 0.14/5.44 % Disequality decompositions : 0
% 0.14/5.44 % Total rewrite steps : 1
% 0.14/5.44 % ...of those cached : 0
% 0.14/5.44 % Propositional unsat checks : 0
% 0.14/5.44 % Propositional check models : 0
% 0.14/5.44 % Propositional check unsatisfiable : 0
% 0.14/5.44 % Propositional clauses : 0
% 0.14/5.44 % Propositional clauses after purity: 0
% 0.14/5.44 % Propositional unsat core size : 0
% 0.14/5.44 % Propositional preprocessing time : 0.000
% 0.14/5.44 % Propositional encoding time : 0.000
% 0.14/5.44 % Propositional solver time : 0.000
% 0.14/5.44 % Success case prop preproc time : 0.000
% 0.14/5.44 % Success case prop encoding time : 0.000
% 0.14/5.44 % Success case prop solver time : 0.000
% 0.14/5.44 % Current number of processed clauses : 15
% 0.14/5.44 % Positive orientable unit clauses : 6
% 0.14/5.44 % Positive unorientable unit clauses: 0
% 0.14/5.44 % Negative unit clauses : 1
% 0.14/5.44 % Non-unit-clauses : 8
% 0.14/5.44 % Current number of unprocessed clauses: 9
% 0.14/5.44 % ...number of literals in the above : 18
% 0.14/5.44 % Current number of archived formulas : 0
% 0.14/5.44 % Current number of archived clauses : 0
% 0.14/5.44 % Clause-clause subsumption calls (NU) : 22
% 0.14/5.44 % Rec. Clause-clause subsumption calls : 22
% 0.14/5.44 % Non-unit clause-clause subsumptions : 0
% 0.14/5.44 % Unit Clause-clause subsumption calls : 0
% 0.14/5.44 % Rewrite failures with RHS unbound : 0
% 0.14/5.44 % BW rewrite match attempts : 0
% 0.14/5.44 % BW rewrite match successes : 0
% 0.14/5.44 % Condensation attempts : 0
% 0.14/5.44 % Condensation successes : 0
% 0.14/5.44 % Termbank termtop insertions : 1529
% 0.14/5.44 % Search garbage collected termcells : 408
% 0.14/5.44
% 0.14/5.44 % -------------------------------------------------
% 0.14/5.44 % User time : 0.004 s
% 0.14/5.44 % System time : 0.001 s
% 0.14/5.44 % Total time : 0.005 s
% 0.14/5.44 % Maximum resident set size: 3896 pages
% 0.14/5.44
% 0.14/5.44 % -------------------------------------------------
% 0.14/5.44 % User time : 0.008 s
% 0.14/5.44 % System time : 0.004 s
% 0.14/5.44 % Total time : 0.012 s
% 0.14/5.44 % Maximum resident set size: 4864 pages
% 0.14/5.44 % E exiting
%------------------------------------------------------------------------------