%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% 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 02:27:59 PM UTC 2026
% Result : Theorem 0.11s 15.48s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 10 ~; 6 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t76_funct_1,conjecture,
! [X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2))
& subset(relation_dom(relation_dom_restriction(X2,X1)),relation_dom(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t76_funct_1) ).
fof(t99_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_relat_1) ).
fof(t89_relat_1,axiom,
! [X1,X2] :
( relation(X2)
=> subset(relation_dom(relation_dom_restriction(X2,X1)),relation_dom(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t89_relat_1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( ( function(X2)
& relation(X2) )
=> ( subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2))
& subset(relation_dom(relation_dom_restriction(X2,X1)),relation_dom(X2)) ) ),
inference(assume_negation,[status(cth)],[t76_funct_1]) ).
fof(c_0_4,negated_conjecture,
( ( ~ subset(relation_rng(relation_dom_restriction(esk2_0,esk1_0)),relation_rng(esk2_0))
| ~ subset(relation_dom(relation_dom_restriction(esk2_0,esk1_0)),relation_dom(esk2_0)) )
& function(esk2_0)
& relation(esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,plain,
! [X11,X12] :
( subset(relation_rng(relation_dom_restriction(X12,X11)),relation_rng(X12))
| ~ relation(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t99_relat_1])])]) ).
cnf(c_0_6,negated_conjecture,
( ~ subset(relation_rng(relation_dom_restriction(esk2_0,esk1_0)),relation_rng(esk2_0))
| ~ subset(relation_dom(relation_dom_restriction(esk2_0,esk1_0)),relation_dom(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ relation(X1)
| subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_9,plain,
! [X9,X10] :
( subset(relation_dom(relation_dom_restriction(X10,X9)),relation_dom(X10))
| ~ relation(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t89_relat_1])])]) ).
cnf(c_0_10,negated_conjecture,
~ subset(relation_dom(relation_dom_restriction(esk2_0,esk1_0)),relation_dom(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_11,plain,
( ~ relation(X1)
| subset(relation_dom(relation_dom_restriction(X1,X2)),relation_dom(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/15.40 % Computer : n015.cluster.edu
% 0.11/15.40 % Model : x86_64 x86_64
% 0.11/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.40 % Memory : 8046.5625MB
% 0.11/15.40 % OS : Linux 6.8.0-71-generic
% 0.11/15.41 % CPULimit : 300
% 0.11/15.41 % WCLimit : 300
% 0.11/15.41 % DateTime : Mon Sep 21 05:51:21 UTC 2026
% 0.11/15.41 % CPUTime :
% 0.11/15.41 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/15.45 Running first-order theorem proving
% 0.11/15.45 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
% 0.11/15.48 % Version: 3.5.1
% 0.11/15.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/15.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/15.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/15.48 % Starting new_bool_3 with 300s (1) cores
% 0.11/15.48 % Starting new_bool_1 with 300s (1) cores
% 0.11/15.48 % Starting sh5l with 300s (1) cores
% 0.11/15.48 % new_bool_1 with pid 695404 completed with status 0
% 0.11/15.48 % Result found by new_bool_1
% 0.11/15.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/15.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/15.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/15.48 % Starting new_bool_3 with 300s (1) cores
% 0.11/15.48 % Starting new_bool_1 with 300s (1) cores
% 0.11/15.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/15.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/15.48 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.11/15.48 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/15.48 % Starting SubtermCWHack with 28s (1) cores
% 0.11/15.48 % SubtermCWHack with pid 695406 completed with status 0
% 0.11/15.48 % Result found by SubtermCWHack
% 0.11/15.48 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.11/15.48 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/15.48 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.11/15.48 % Starting new_bool_3 with 300s (1) cores
% 0.11/15.48 % Starting new_bool_1 with 300s (1) cores
% 0.11/15.48 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.11/15.48 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.11/15.48 % Search class: FGHSM-FFMM21-SFFFFFNN
% 0.11/15.48 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/15.48 % Starting SubtermCWHack with 28s (1) cores
% 0.11/15.48 % Preprocessing time : 0.002 s
% 0.11/15.48
% 0.11/15.48 % Proof found!
% 0.11/15.48 % SZS status Theorem
% 0.11/15.48 % SZS output start CNFRefutation
% See solution above
% 0.11/15.48 % Parsed axioms : 38
% 0.11/15.48 % Removed by relevancy pruning/SinE : 8
% 0.11/15.48 % Initial clauses : 43
% 0.11/15.48 % Removed in clause preprocessing : 0
% 0.11/15.48 % Initial clauses in saturation : 43
% 0.11/15.48 % Processed clauses : 78
% 0.11/15.48 % ...of these trivial : 0
% 0.11/15.48 % ...subsumed : 13
% 0.11/15.48 % ...remaining for further processing : 65
% 0.11/15.48 % Other redundant clauses eliminated : 0
% 0.11/15.48 % Clauses deleted for lack of memory : 0
% 0.11/15.48 % Backward-subsumed : 1
% 0.11/15.48 % Backward-rewritten : 8
% 0.11/15.48 % Generated clauses : 88
% 0.11/15.48 % ...of the previous two non-redundant : 72
% 0.11/15.48 % ...aggressively subsumed : 0
% 0.11/15.48 % Contextual simplify-reflections : 0
% 0.11/15.48 % Paramodulations : 88
% 0.11/15.48 % Factorizations : 0
% 0.11/15.48 % NegExts : 0
% 0.11/15.48 % Equation resolutions : 0
% 0.11/15.48 % Disequality decompositions : 0
% 0.11/15.48 % Total rewrite steps : 27
% 0.11/15.48 % ...of those cached : 16
% 0.11/15.48 % Propositional unsat checks : 0
% 0.11/15.48 % Propositional check models : 0
% 0.11/15.48 % Propositional check unsatisfiable : 0
% 0.11/15.48 % Propositional clauses : 0
% 0.11/15.48 % Propositional clauses after purity: 0
% 0.11/15.48 % Propositional unsat core size : 0
% 0.11/15.48 % Propositional preprocessing time : 0.000
% 0.11/15.48 % Propositional encoding time : 0.000
% 0.11/15.48 % Propositional solver time : 0.000
% 0.11/15.48 % Success case prop preproc time : 0.000
% 0.11/15.48 % Success case prop encoding time : 0.000
% 0.11/15.48 % Success case prop solver time : 0.000
% 0.11/15.48 % Current number of processed clauses : 56
% 0.11/15.48 % Positive orientable unit clauses : 16
% 0.11/15.48 % Positive unorientable unit clauses: 0
% 0.11/15.48 % Negative unit clauses : 4
% 0.11/15.48 % Non-unit-clauses : 36
% 0.11/15.48 % Current number of unprocessed clauses: 27
% 0.11/15.48 % ...number of literals in the above : 93
% 0.11/15.48 % Current number of archived formulas : 0
% 0.11/15.48 % Current number of archived clauses : 9
% 0.11/15.48 % Clause-clause subsumption calls (NU) : 190
% 0.11/15.48 % Rec. Clause-clause subsumption calls : 179
% 0.11/15.48 % Non-unit clause-clause subsumptions : 13
% 0.11/15.48 % Unit Clause-clause subsumption calls : 25
% 0.11/15.48 % Rewrite failures with RHS unbound : 0
% 0.11/15.48 % BW rewrite match attempts : 3
% 0.11/15.48 % BW rewrite match successes : 3
% 0.11/15.48 % Condensation attempts : 0
% 0.11/15.48 % Condensation successes : 0
% 0.11/15.48 % Termbank termtop insertions : 3207
% 0.11/15.48 % Search garbage collected termcells : 398
% 0.11/15.48
% 0.11/15.48 % -------------------------------------------------
% 0.11/15.48 % User time : 0.008 s
% 0.11/15.48 % System time : 0.001 s
% 0.11/15.48 % Total time : 0.009 s
% 0.11/15.48 % Maximum resident set size: 3660 pages
% 0.11/15.48
% 0.11/15.48 % -------------------------------------------------
% 0.11/15.48 % User time : 0.010 s
% 0.11/15.48 % System time : 0.004 s
% 0.11/15.48 % Total time : 0.015 s
% 0.11/15.48 % Maximum resident set size: 4608 pages
% 0.11/15.48 % E exiting
%------------------------------------------------------------------------------