%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 02:14:54 PM UTC 2026
% Result : Theorem 0.12s 0.42s
% Output : CNFRefutation 0.12s
% 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/sandbox/benchmark/theBenchmark.p',p1) ).
fof(p28,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p28) ).
fof(p15,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> subset(X1,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_relset_1_20) ).
fof(c_0_4,plain,
! [X5,X6] :
( ilf_type(X6,relation_type(X5,range_of(X6)))
| ~ subset(domain_of(X6),X5)
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,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,
! [X74] : ilf_type(X74,set_type),
inference(variable_rename,[status(thm)],[p28]) ).
fof(c_0_6,plain,
! [X38] :
( subset(X38,X38)
| ~ ilf_type(X38,set_type) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p15])])]) ).
cnf(c_0_7,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_8,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ ilf_type(X1,set_type)
| subset(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,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_11,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_7,c_0_8])]) ).
cnf(c_0_12,plain,
subset(X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8])]) ).
fof(c_0_13,negated_conjecture,
( ~ ilf_type(esk13_0,relation_type(domain_of(esk13_0),range_of(esk13_0)))
& ilf_type(esk13_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_10])])])]) ).
cnf(c_0_14,plain,
( ~ ilf_type(X1,binary_relation_type)
| ilf_type(X1,relation_type(domain_of(X1),range_of(X1))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
ilf_type(esk13_0,binary_relation_type),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
~ ilf_type(esk13_0,relation_type(domain_of(esk13_0),range_of(esk13_0))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET658+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.35 % Computer : n016.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 05:36:23 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.42 % Version: 3.5.1
% 0.12/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.42 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.42 % Starting sh5l with 300s (1) cores
% 0.12/0.42 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1661972 completed with status 0
% 0.12/0.42 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.42 % No SInE strategy applied
% 0.12/0.42 % Search class: FGHSF-FFMF31-SFFFFFNN
% 0.12/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.42 % Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 166s (1) cores
% 0.12/0.42 % Starting new_bool_3 with 162s (1) cores
% 0.12/0.42 % Starting new_bool_1 with 158s (1) cores
% 0.12/0.42 % new_bool_1 with pid 1661980 completed with status 0
% 0.12/0.42 % Result found by new_bool_1
% 0.12/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.42 % No SInE strategy applied
% 0.12/0.42 % Search class: FGHSF-FFMF31-SFFFFFNN
% 0.12/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.42 % Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 166s (1) cores
% 0.12/0.42 % Starting new_bool_3 with 162s (1) cores
% 0.12/0.42 % Starting new_bool_1 with 158s (1) cores
% 0.12/0.42 % Preprocessing time : 0.001 s
% 0.12/0.42 % Presaturation interreduction done
% 0.12/0.42
% 0.12/0.42 % Proof found!
% 0.12/0.42 % SZS status Theorem
% 0.12/0.42 % SZS output start CNFRefutation
% See solution above
% 0.12/0.42 % Parsed axioms : 29
% 0.12/0.42 % Removed by relevancy pruning/SinE : 0
% 0.12/0.42 % Initial clauses : 53
% 0.12/0.42 % Removed in clause preprocessing : 1
% 0.12/0.42 % Initial clauses in saturation : 52
% 0.12/0.42 % Processed clauses : 101
% 0.12/0.42 % ...of these trivial : 13
% 0.12/0.42 % ...subsumed : 5
% 0.12/0.42 % ...remaining for further processing : 83
% 0.12/0.42 % Other redundant clauses eliminated : 0
% 0.12/0.42 % Clauses deleted for lack of memory : 0
% 0.12/0.42 % Backward-subsumed : 0
% 0.12/0.42 % Backward-rewritten : 0
% 0.12/0.42 % Generated clauses : 45
% 0.12/0.42 % ...of the previous two non-redundant : 29
% 0.12/0.42 % ...aggressively subsumed : 0
% 0.12/0.42 % Contextual simplify-reflections : 1
% 0.12/0.42 % Paramodulations : 45
% 0.12/0.42 % Factorizations : 0
% 0.12/0.42 % NegExts : 0
% 0.12/0.42 % Equation resolutions : 0
% 0.12/0.42 % Disequality decompositions : 0
% 0.12/0.42 % Total rewrite steps : 99
% 0.12/0.42 % ...of those cached : 75
% 0.12/0.42 % Propositional unsat checks : 0
% 0.12/0.42 % Propositional check models : 0
% 0.12/0.42 % Propositional check unsatisfiable : 0
% 0.12/0.42 % Propositional clauses : 0
% 0.12/0.42 % Propositional clauses after purity: 0
% 0.12/0.42 % Propositional unsat core size : 0
% 0.12/0.42 % Propositional preprocessing time : 0.000
% 0.12/0.42 % Propositional encoding time : 0.000
% 0.12/0.42 % Propositional solver time : 0.000
% 0.12/0.42 % Success case prop preproc time : 0.000
% 0.12/0.42 % Success case prop encoding time : 0.000
% 0.12/0.42 % Success case prop solver time : 0.000
% 0.12/0.42 % Current number of processed clauses : 44
% 0.12/0.42 % Positive orientable unit clauses : 19
% 0.12/0.42 % Positive unorientable unit clauses: 0
% 0.12/0.42 % Negative unit clauses : 2
% 0.12/0.42 % Non-unit-clauses : 23
% 0.12/0.42 % Current number of unprocessed clauses: 19
% 0.12/0.42 % ...number of literals in the above : 43
% 0.12/0.42 % Current number of archived formulas : 0
% 0.12/0.42 % Current number of archived clauses : 39
% 0.12/0.42 % Clause-clause subsumption calls (NU) : 177
% 0.12/0.42 % Rec. Clause-clause subsumption calls : 152
% 0.12/0.42 % Non-unit clause-clause subsumptions : 5
% 0.12/0.42 % Unit Clause-clause subsumption calls : 37
% 0.12/0.42 % Rewrite failures with RHS unbound : 0
% 0.12/0.42 % BW rewrite match attempts : 0
% 0.12/0.42 % BW rewrite match successes : 0
% 0.12/0.42 % Condensation attempts : 0
% 0.12/0.42 % Condensation successes : 0
% 0.12/0.42 % Termbank termtop insertions : 5871
% 0.12/0.42 % Search garbage collected termcells : 1125
% 0.12/0.42
% 0.12/0.42 % -------------------------------------------------
% 0.12/0.42 % User time : 0.006 s
% 0.12/0.42 % System time : 0.002 s
% 0.12/0.42 % Total time : 0.008 s
% 0.12/0.42 % Maximum resident set size: 3616 pages
% 0.12/0.42
% 0.12/0.42 % -------------------------------------------------
% 0.12/0.42 % User time : 0.021 s
% 0.12/0.42 % System time : 0.016 s
% 0.12/0.42 % Total time : 0.037 s
% 0.12/0.42 % Maximum resident set size: 4608 pages
% 0.12/0.42 % E exiting
%------------------------------------------------------------------------------