%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU247+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 02:24:26 PM UTC 2026
% Result : Theorem 0.13s 5.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 22 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 4 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_wellord1,conjecture,
! [X1,X2] :
( relation(X2)
=> relation_restriction(X2,X1) = relation_rng_restriction(X1,relation_dom_restriction(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_wellord1) ).
fof(t140_relat_1,axiom,
! [X1,X2,X3] :
( relation(X3)
=> relation_dom_restriction(relation_rng_restriction(X1,X3),X2) = relation_rng_restriction(X1,relation_dom_restriction(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_relat_1) ).
fof(t17_wellord1,axiom,
! [X1,X2] :
( relation(X2)
=> relation_restriction(X2,X1) = relation_dom_restriction(relation_rng_restriction(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_wellord1) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> relation_restriction(X2,X1) = relation_rng_restriction(X1,relation_dom_restriction(X2,X1)) ),
inference(assume_negation,[status(cth)],[t18_wellord1]) ).
fof(c_0_4,negated_conjecture,
( relation_restriction(esk2_0,esk1_0) != relation_rng_restriction(esk1_0,relation_dom_restriction(esk2_0,esk1_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,
! [X8,X9,X10] :
( relation_dom_restriction(relation_rng_restriction(X8,X10),X9) = relation_rng_restriction(X8,relation_dom_restriction(X10,X9))
| ~ relation(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t140_relat_1])])]) ).
cnf(c_0_6,negated_conjecture,
relation_restriction(esk2_0,esk1_0) != relation_rng_restriction(esk1_0,relation_dom_restriction(esk2_0,esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ relation(X1)
| relation_dom_restriction(relation_rng_restriction(X2,X1),X3) = relation_rng_restriction(X2,relation_dom_restriction(X1,X3)) ),
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,
! [X11,X12] :
( relation_restriction(X12,X11) = relation_dom_restriction(relation_rng_restriction(X11,X12),X11)
| ~ relation(X12) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_wellord1])])]) ).
cnf(c_0_10,negated_conjecture,
relation_dom_restriction(relation_rng_restriction(esk1_0,esk2_0),esk1_0) != relation_restriction(esk2_0,esk1_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)
| relation_restriction(X1,X2) = relation_dom_restriction(relation_rng_restriction(X2,X1),X2) ),
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
% 0.00/0.02 % Problem : SEU247+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/5.36 % Computer : n020.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 06:04:07 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 0.13/5.43 % Version: 3.5.1
% 0.13/5.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/5.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/5.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.43 % Starting new_bool_1 with 300s (1) cores
% 0.13/5.43 % Starting sh5l with 300s (1) cores
% 0.13/5.43 % new_bool_3 with pid 2164673 completed with status 0
% 0.13/5.43 % Result found by new_bool_3
% 0.13/5.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/5.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/5.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/5.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/5.43 % Search class: FHUSF-FFSF22-SFFFFFNN
% 0.13/5.43 % partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.13/5.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/5.43 % Starting SubtermCWHack with 31s (1) cores
% 0.13/5.43 % SubtermCWHack with pid 2164678 completed with status 0
% 0.13/5.43 % Result found by SubtermCWHack
% 0.13/5.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/5.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/5.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/5.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/5.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/5.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/5.43 % Search class: FHUSF-FFSF22-SFFFFFNN
% 0.13/5.43 % partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.13/5.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/5.43 % Starting SubtermCWHack with 31s (1) cores
% 0.13/5.43 % Preprocessing time : 0.001 s
% 0.13/5.43
% 0.13/5.43 % Proof found!
% 0.13/5.43 % SZS status Theorem
% 0.13/5.43 % SZS output start CNFRefutation
% See solution above
% 0.13/5.43 % Parsed axioms : 11
% 0.13/5.43 % Removed by relevancy pruning/SinE : 5
% 0.13/5.43 % Initial clauses : 7
% 0.13/5.43 % Removed in clause preprocessing : 0
% 0.13/5.43 % Initial clauses in saturation : 7
% 0.13/5.43 % Processed clauses : 9
% 0.13/5.43 % ...of these trivial : 0
% 0.13/5.43 % ...subsumed : 1
% 0.13/5.43 % ...remaining for further processing : 8
% 0.13/5.43 % Other redundant clauses eliminated : 0
% 0.13/5.43 % Clauses deleted for lack of memory : 0
% 0.13/5.43 % Backward-subsumed : 0
% 0.13/5.43 % Backward-rewritten : 0
% 0.13/5.43 % Generated clauses : 6
% 0.13/5.43 % ...of the previous two non-redundant : 5
% 0.13/5.43 % ...aggressively subsumed : 0
% 0.13/5.43 % Contextual simplify-reflections : 0
% 0.13/5.43 % Paramodulations : 6
% 0.13/5.43 % Factorizations : 0
% 0.13/5.43 % NegExts : 0
% 0.13/5.43 % Equation resolutions : 0
% 0.13/5.43 % Disequality decompositions : 0
% 0.13/5.43 % Total rewrite steps : 2
% 0.13/5.43 % ...of those cached : 1
% 0.13/5.43 % Propositional unsat checks : 0
% 0.13/5.43 % Propositional check models : 0
% 0.13/5.43 % Propositional check unsatisfiable : 0
% 0.13/5.43 % Propositional clauses : 0
% 0.13/5.43 % Propositional clauses after purity: 0
% 0.13/5.43 % Propositional unsat core size : 0
% 0.13/5.43 % Propositional preprocessing time : 0.000
% 0.13/5.43 % Propositional encoding time : 0.000
% 0.13/5.43 % Propositional solver time : 0.000
% 0.13/5.43 % Success case prop preproc time : 0.000
% 0.13/5.43 % Success case prop encoding time : 0.000
% 0.13/5.43 % Success case prop solver time : 0.000
% 0.13/5.43 % Current number of processed clauses : 8
% 0.13/5.43 % Positive orientable unit clauses : 1
% 0.13/5.43 % Positive unorientable unit clauses: 0
% 0.13/5.43 % Negative unit clauses : 2
% 0.13/5.43 % Non-unit-clauses : 5
% 0.13/5.43 % Current number of unprocessed clauses: 3
% 0.13/5.43 % ...number of literals in the above : 9
% 0.13/5.43 % Current number of archived formulas : 0
% 0.13/5.43 % Current number of archived clauses : 0
% 0.13/5.43 % Clause-clause subsumption calls (NU) : 1
% 0.13/5.43 % Rec. Clause-clause subsumption calls : 1
% 0.13/5.43 % Non-unit clause-clause subsumptions : 1
% 0.13/5.43 % Unit Clause-clause subsumption calls : 1
% 0.13/5.43 % Rewrite failures with RHS unbound : 0
% 0.13/5.43 % BW rewrite match attempts : 0
% 0.13/5.43 % BW rewrite match successes : 0
% 0.13/5.43 % Condensation attempts : 0
% 0.13/5.43 % Condensation successes : 0
% 0.13/5.43 % Termbank termtop insertions : 543
% 0.13/5.43 % Search garbage collected termcells : 99
% 0.13/5.43
% 0.13/5.43 % -------------------------------------------------
% 0.13/5.43 % User time : 0.003 s
% 0.13/5.43 % System time : 0.003 s
% 0.13/5.43 % Total time : 0.006 s
% 0.13/5.43 % Maximum resident set size: 3636 pages
% 0.13/5.43
% 0.13/5.43 % -------------------------------------------------
% 0.13/5.43 % User time : 0.005 s
% 0.13/5.43 % System time : 0.007 s
% 0.13/5.43 % Total time : 0.012 s
% 0.13/5.43 % Maximum resident set size: 4864 pages
% 0.13/5.43 % E exiting
%------------------------------------------------------------------------------