%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET677+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 : n009.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 02:14:58 PM UTC 2026
% Result : Theorem 0.14s 0.49s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 95 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 115 ( 46 ~; 42 |; 10 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 41 ( 1 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(identity_relation_of(X2),X3)
=> ( X2 = range(X1,X2,X3)
& subset(X2,domain(X1,X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(p34,axiom,
! [X1] : ilf_type(X1,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(prove_relset_1_44,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,identity_relation_of_type(X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( X1 = range(X1,X1,X2)
& X1 = domain(X1,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_44) ).
fof(p5,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ilf_type(X2,identity_relation_of_type(X1))
<=> ilf_type(X2,relation_type(X1,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(p1,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,range(X2,X1,X3))
& X2 = domain(X2,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(c_0_5,plain,
! [X10,X11,X12] :
( ( ~ ilf_type(X10,set_type)
| ~ ilf_type(X11,set_type)
| ~ ilf_type(X12,relation_type(X10,X11))
| ~ subset(identity_relation_of(X11),X12)
| X11 = range(X10,X11,X12) )
& ( ~ ilf_type(X10,set_type)
| ~ ilf_type(X11,set_type)
| ~ ilf_type(X12,relation_type(X10,X11))
| ~ subset(identity_relation_of(X11),X12)
| subset(X11,domain(X10,X11,X12)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p2])])])])]) ).
fof(c_0_6,plain,
! [X31] : ilf_type(X31,set_type),
inference(variable_rename,[status(thm)],[p34]) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,identity_relation_of_type(X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( X1 = range(X1,X1,X2)
& X1 = domain(X1,X1,X2) ) ) ) ),
inference(assume_negation,[status(cth)],[prove_relset_1_44]) ).
fof(c_0_8,plain,
! [X32,X33] :
( ( ~ ilf_type(X32,set_type)
| ~ ilf_type(X33,set_type)
| ilf_type(X33,identity_relation_of_type(X32))
| ~ ilf_type(X33,relation_type(X32,X32)) )
& ( ~ ilf_type(X32,set_type)
| ~ ilf_type(X33,set_type)
| ilf_type(X33,relation_type(X32,X32))
| ~ ilf_type(X33,identity_relation_of_type(X32)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p5])])])])]) ).
cnf(c_0_9,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X2,X1))
| ~ subset(identity_relation_of(X1),X3)
| X1 = range(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,negated_conjecture,
( ( esk1_0 != range(esk1_0,esk1_0,esk2_0)
| esk1_0 != domain(esk1_0,esk1_0,esk2_0) )
& subset(identity_relation_of(esk1_0),esk2_0)
& ilf_type(esk2_0,identity_relation_of_type(esk1_0))
& ilf_type(esk1_0,set_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(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,identity_relation_of_type(X2))
| ilf_type(X1,relation_type(X2,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X7,X8,X9] :
( ( ~ ilf_type(X7,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X9,relation_type(X8,X7))
| ~ subset(identity_relation_of(X8),X9)
| subset(X8,range(X8,X7,X9)) )
& ( ~ ilf_type(X7,set_type)
| ~ ilf_type(X8,set_type)
| ~ ilf_type(X9,relation_type(X8,X7))
| ~ subset(identity_relation_of(X8),X9)
| X8 = domain(X8,X7,X9) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[p1])])])])]) ).
cnf(c_0_14,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(identity_relation_of(X2),X3)
| range(X1,X2,X3) = X2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10])]) ).
cnf(c_0_15,negated_conjecture,
subset(identity_relation_of(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( ~ ilf_type(X1,identity_relation_of_type(X2))
| ilf_type(X1,relation_type(X2,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10]),c_0_10])]) ).
cnf(c_0_17,negated_conjecture,
ilf_type(esk2_0,identity_relation_of_type(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(identity_relation_of(X1),X3)
| X1 = domain(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( esk1_0 != range(esk1_0,esk1_0,esk2_0)
| esk1_0 != domain(esk1_0,esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
( ~ ilf_type(esk2_0,relation_type(X1,esk1_0))
| range(X1,esk1_0,esk2_0) = esk1_0 ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
ilf_type(esk2_0,relation_type(esk1_0,esk1_0)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(identity_relation_of(X1),X3)
| domain(X1,X2,X3) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_10]),c_0_10])]) ).
cnf(c_0_23,negated_conjecture,
domain(esk1_0,esk1_0,esk2_0) != esk1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
( ~ ilf_type(esk2_0,relation_type(esk1_0,X1))
| domain(esk1_0,X1,esk2_0) = esk1_0 ),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET677+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:32:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.49 % Version: 3.5.1
% 0.14/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.49 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.49 % Starting sh5l with 300s (1) cores
% 0.14/0.49 % new_bool_3 with pid 946991 completed with status 0
% 0.14/0.49 % Result found by new_bool_3
% 0.14/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.49 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.14/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.49 % SubtermCWHack with pid 946995 completed with status 0
% 0.14/0.49 % Result found by SubtermCWHack
% 0.14/0.49 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.49 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.49 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.14/0.49 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.14/0.49 % Search class: FGHSF-FFMS31-SFFFFFNN
% 0.14/0.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.49 % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.49 % Preprocessing time : 0.003 s
% 0.14/0.49
% 0.14/0.49 % Proof found!
% 0.14/0.49 % SZS status Theorem
% 0.14/0.49 % SZS output start CNFRefutation
% See solution above
% 0.14/0.49 % Parsed axioms : 35
% 0.14/0.49 % Removed by relevancy pruning/SinE : 11
% 0.14/0.49 % Initial clauses : 50
% 0.14/0.49 % Removed in clause preprocessing : 1
% 0.14/0.49 % Initial clauses in saturation : 49
% 0.14/0.49 % Processed clauses : 106
% 0.14/0.49 % ...of these trivial : 9
% 0.14/0.49 % ...subsumed : 17
% 0.14/0.49 % ...remaining for further processing : 80
% 0.14/0.49 % Other redundant clauses eliminated : 4
% 0.14/0.49 % Clauses deleted for lack of memory : 0
% 0.14/0.49 % Backward-subsumed : 7
% 0.14/0.49 % Backward-rewritten : 1
% 0.14/0.49 % Generated clauses : 157
% 0.14/0.49 % ...of the previous two non-redundant : 136
% 0.14/0.49 % ...aggressively subsumed : 0
% 0.14/0.49 % Contextual simplify-reflections : 1
% 0.14/0.49 % Paramodulations : 153
% 0.14/0.49 % Factorizations : 0
% 0.14/0.49 % NegExts : 0
% 0.14/0.49 % Equation resolutions : 4
% 0.14/0.49 % Disequality decompositions : 0
% 0.14/0.49 % Total rewrite steps : 107
% 0.14/0.49 % ...of those cached : 83
% 0.14/0.49 % Propositional unsat checks : 0
% 0.14/0.49 % Propositional check models : 0
% 0.14/0.49 % Propositional check unsatisfiable : 0
% 0.14/0.49 % Propositional clauses : 0
% 0.14/0.49 % Propositional clauses after purity: 0
% 0.14/0.49 % Propositional unsat core size : 0
% 0.14/0.49 % Propositional preprocessing time : 0.000
% 0.14/0.49 % Propositional encoding time : 0.000
% 0.14/0.49 % Propositional solver time : 0.000
% 0.14/0.49 % Success case prop preproc time : 0.000
% 0.14/0.49 % Success case prop encoding time : 0.000
% 0.14/0.49 % Success case prop solver time : 0.000
% 0.14/0.49 % Current number of processed clauses : 69
% 0.14/0.49 % Positive orientable unit clauses : 14
% 0.14/0.49 % Positive unorientable unit clauses: 0
% 0.14/0.49 % Negative unit clauses : 1
% 0.14/0.49 % Non-unit-clauses : 54
% 0.14/0.49 % Current number of unprocessed clauses: 74
% 0.14/0.49 % ...number of literals in the above : 323
% 0.14/0.49 % Current number of archived formulas : 0
% 0.14/0.49 % Current number of archived clauses : 8
% 0.14/0.49 % Clause-clause subsumption calls (NU) : 732
% 0.14/0.49 % Rec. Clause-clause subsumption calls : 574
% 0.14/0.49 % Non-unit clause-clause subsumptions : 24
% 0.14/0.49 % Unit Clause-clause subsumption calls : 22
% 0.14/0.49 % Rewrite failures with RHS unbound : 0
% 0.14/0.49 % BW rewrite match attempts : 2
% 0.14/0.49 % BW rewrite match successes : 1
% 0.14/0.49 % Condensation attempts : 0
% 0.14/0.49 % Condensation successes : 0
% 0.14/0.49 % Termbank termtop insertions : 6688
% 0.14/0.49 % Search garbage collected termcells : 1149
% 0.14/0.49
% 0.14/0.49 % -------------------------------------------------
% 0.14/0.49 % User time : 0.022 s
% 0.14/0.49 % System time : 0.004 s
% 0.14/0.49 % Total time : 0.026 s
% 0.14/0.49 % Maximum resident set size: 3676 pages
% 0.14/0.49
% 0.14/0.49 % -------------------------------------------------
% 0.14/0.49 % User time : 0.025 s
% 0.14/0.49 % System time : 0.012 s
% 0.14/0.49 % Total time : 0.037 s
% 0.14/0.49 % Maximum resident set size: 4608 pages
% 0.14/0.49 % E exiting
%------------------------------------------------------------------------------