%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 02:17:52 PM UTC 2026
% Result : Theorem 0.16s 0.66s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 14 ~; 11 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( subset(domain_of(X2),X1)
=> ilf_type(X2,relation_type(X1,range_of(X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(p28,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28) ).
fof(p15,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> subset(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(prove_relset_1_20,conjecture,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ilf_type(X1,relation_type(domain_of(X1),range_of(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_20) ).
fof(c_0_4,plain,
! [X13,X14] :
( ilf_type(X14,relation_type(X13,range_of(X14)))
| ~ subset(domain_of(X14),X13)
| ~ ilf_type(X14,binary_relation_type)
| ~ ilf_type(X13,set_type) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])]) ).
fof(c_0_5,plain,
! [X12] : ilf_type(X12,set_type),
inference(variable_rename,[status(thm)],[p28]) ).
fof(c_0_6,plain,
! [X51] :
( subset(X51,X51)
| ~ ilf_type(X51,set_type) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])])]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ilf_type(X1,relation_type(domain_of(X1),range_of(X1))) ),
inference(assume_negation,[status(cth)],[prove_relset_1_20]) ).
cnf(c_0_8,plain,
( ~ subset(domain_of(X2),X1)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X2,relation_type(X1,range_of(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( ~ ilf_type(X1,set_type)
| subset(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,negated_conjecture,
( ~ ilf_type(esk1_0,relation_type(domain_of(esk1_0),range_of(esk1_0)))
& ilf_type(esk1_0,binary_relation_type) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
cnf(c_0_12,plain,
( ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X2)
| ilf_type(X1,relation_type(X2,range_of(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_13,plain,
subset(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9])]) ).
cnf(c_0_14,negated_conjecture,
~ ilf_type(esk1_0,relation_type(domain_of(esk1_0),range_of(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( ~ ilf_type(X1,binary_relation_type)
| ilf_type(X1,relation_type(domain_of(X1),range_of(X1))) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
ilf_type(esk1_0,binary_relation_type),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.58 % Computer : n016.cluster.edu
% 0.12/0.58 % Model : x86_64 x86_64
% 0.12/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.58 % Memory : 8046.5625MB
% 0.12/0.58 % OS : Linux 6.8.0-71-generic
% 0.12/0.58 % CPULimit : 300
% 0.12/0.58 % WCLimit : 300
% 0.12/0.58 % DateTime : Mon Sep 21 05:36:24 UTC 2026
% 0.12/0.58 % CPUTime :
% 0.12/0.58 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.63 Running first-order theorem proving
% 0.16/0.63 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
% 0.16/0.66 % Version: 3.5.1
% 0.16/0.66 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.66 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.66 % Starting sh5l with 300s (1) cores
% 0.16/0.66 % sh5l with pid 1662195 completed with status 0
% 0.16/0.66 % Result found by sh5l
% 0.16/0.66 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.66 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.66 % Starting sh5l with 300s (1) cores
% 0.16/0.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.16/0.66 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.66 % Search class: FGHSF-FFMF31-SFFFFFNN
% 0.16/0.66 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.66 % Starting SubtermCWHack with 28s (1) cores
% 0.16/0.66 % SubtermCWHack with pid 1662203 completed with status 0
% 0.16/0.66 % Result found by SubtermCWHack
% 0.16/0.66 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.66 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.66 % Starting sh5l with 300s (1) cores
% 0.16/0.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.16/0.66 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.66 % Search class: FGHSF-FFMF31-SFFFFFNN
% 0.16/0.66 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.66 % Starting SubtermCWHack with 28s (1) cores
% 0.16/0.66 % Preprocessing time : 0.002 s
% 0.16/0.66
% 0.16/0.66 % Proof found!
% 0.16/0.66 % SZS status Theorem
% 0.16/0.66 % SZS output start CNFRefutation
% See solution above
% 0.16/0.66 % Parsed axioms : 29
% 0.16/0.66 % Removed by relevancy pruning/SinE : 0
% 0.16/0.66 % Initial clauses : 53
% 0.16/0.66 % Removed in clause preprocessing : 1
% 0.16/0.66 % Initial clauses in saturation : 52
% 0.16/0.66 % Processed clauses : 79
% 0.16/0.66 % ...of these trivial : 13
% 0.16/0.66 % ...subsumed : 8
% 0.16/0.66 % ...remaining for further processing : 58
% 0.16/0.66 % Other redundant clauses eliminated : 0
% 0.16/0.66 % Clauses deleted for lack of memory : 0
% 0.16/0.66 % Backward-subsumed : 0
% 0.16/0.66 % Backward-rewritten : 0
% 0.16/0.66 % Generated clauses : 53
% 0.16/0.66 % ...of the previous two non-redundant : 41
% 0.16/0.66 % ...aggressively subsumed : 0
% 0.16/0.66 % Contextual simplify-reflections : 1
% 0.16/0.66 % Paramodulations : 53
% 0.16/0.66 % Factorizations : 0
% 0.16/0.66 % NegExts : 0
% 0.16/0.66 % Equation resolutions : 0
% 0.16/0.66 % Disequality decompositions : 0
% 0.16/0.66 % Total rewrite steps : 73
% 0.16/0.66 % ...of those cached : 52
% 0.16/0.66 % Propositional unsat checks : 0
% 0.16/0.66 % Propositional check models : 0
% 0.16/0.66 % Propositional check unsatisfiable : 0
% 0.16/0.66 % Propositional clauses : 0
% 0.16/0.66 % Propositional clauses after purity: 0
% 0.16/0.66 % Propositional unsat core size : 0
% 0.16/0.66 % Propositional preprocessing time : 0.000
% 0.16/0.66 % Propositional encoding time : 0.000
% 0.16/0.66 % Propositional solver time : 0.000
% 0.16/0.66 % Success case prop preproc time : 0.000
% 0.16/0.66 % Success case prop encoding time : 0.000
% 0.16/0.66 % Success case prop solver time : 0.000
% 0.16/0.66 % Current number of processed clauses : 58
% 0.16/0.66 % Positive orientable unit clauses : 18
% 0.16/0.66 % Positive unorientable unit clauses: 0
% 0.16/0.66 % Negative unit clauses : 2
% 0.16/0.66 % Non-unit-clauses : 38
% 0.16/0.66 % Current number of unprocessed clauses: 14
% 0.16/0.66 % ...number of literals in the above : 58
% 0.16/0.66 % Current number of archived formulas : 0
% 0.16/0.66 % Current number of archived clauses : 0
% 0.16/0.66 % Clause-clause subsumption calls (NU) : 132
% 0.16/0.66 % Rec. Clause-clause subsumption calls : 124
% 0.16/0.66 % Non-unit clause-clause subsumptions : 6
% 0.16/0.66 % Unit Clause-clause subsumption calls : 48
% 0.16/0.66 % Rewrite failures with RHS unbound : 0
% 0.16/0.66 % BW rewrite match attempts : 12
% 0.16/0.66 % BW rewrite match successes : 0
% 0.16/0.66 % Condensation attempts : 0
% 0.16/0.66 % Condensation successes : 0
% 0.16/0.66 % Termbank termtop insertions : 5737
% 0.16/0.66 % Search garbage collected termcells : 1129
% 0.16/0.66
% 0.16/0.66 % -------------------------------------------------
% 0.16/0.66 % User time : 0.009 s
% 0.16/0.66 % System time : 0.005 s
% 0.16/0.66 % Total time : 0.014 s
% 0.16/0.66 % Maximum resident set size: 3668 pages
% 0.16/0.66
% 0.16/0.66 % -------------------------------------------------
% 0.16/0.66 % User time : 0.012 s
% 0.16/0.66 % System time : 0.009 s
% 0.16/0.66 % Total time : 0.020 s
% 0.16/0.66 % Maximum resident set size: 4608 pages
% 0.16/0.66 % E exiting
%------------------------------------------------------------------------------