%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU241+1 : TPTP v9.3.1. Released v3.3.0.
% 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 02:24:25 PM UTC 2026
% Result : Theorem 0.27s 0.55s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 127 ( 14 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 150 ( 56 ~; 64 |; 17 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 49 ( 3 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l3_wellord1,conjecture,
! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X3,X2),X1)
& in(ordered_pair(X2,X3),X1) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_wellord1) ).
fof(d4_relat_2,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_antisymmetric_in(X1,X2)
<=> ! [X3,X4] :
( ( in(ordered_pair(X4,X3),X1)
& in(ordered_pair(X3,X4),X1)
& in(X4,X2)
& in(X3,X2) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
fof(d12_relat_2,axiom,
! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> is_antisymmetric_in(X1,relation_field(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_2) ).
fof(t30_relat_1,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X2,relation_field(X3))
& in(X1,relation_field(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_relat_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X3,X2),X1)
& in(ordered_pair(X2,X3),X1) )
=> X2 = X3 ) ) ),
inference(assume_negation,[status(cth)],[l3_wellord1]) ).
fof(c_0_5,negated_conjecture,
! [X8,X9] :
( ( X8 = X9
| ~ in(ordered_pair(X9,X8),esk1_0)
| ~ in(ordered_pair(X8,X9),esk1_0)
| antisymmetric(esk1_0) )
& ( ~ antisymmetric(esk1_0)
| esk2_0 != esk3_0 )
& ( ~ antisymmetric(esk1_0)
| in(ordered_pair(esk3_0,esk2_0),esk1_0) )
& ( ~ antisymmetric(esk1_0)
| in(ordered_pair(esk2_0,esk3_0),esk1_0) )
& relation(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])]) ).
fof(c_0_6,plain,
! [X21,X22,X23,X24,X25] :
( ( ~ relation(X21)
| is_antisymmetric_in(X21,X25)
| esk6_2(X21,X25) != esk7_2(X21,X25) )
& ( ~ relation(X21)
| is_antisymmetric_in(X21,X25)
| in(ordered_pair(esk7_2(X21,X25),esk6_2(X21,X25)),X21) )
& ( ~ relation(X21)
| is_antisymmetric_in(X21,X25)
| in(ordered_pair(esk6_2(X21,X25),esk7_2(X21,X25)),X21) )
& ( ~ relation(X21)
| is_antisymmetric_in(X21,X25)
| in(esk7_2(X21,X25),X25) )
& ( ~ relation(X21)
| is_antisymmetric_in(X21,X25)
| in(esk6_2(X21,X25),X25) )
& ( ~ relation(X21)
| X23 = X24
| ~ in(ordered_pair(X24,X23),X21)
| ~ in(ordered_pair(X23,X24),X21)
| ~ in(X24,X22)
| ~ in(X23,X22)
| ~ is_antisymmetric_in(X21,X22) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_relat_2])])])])])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ in(ordered_pair(X2,X1),esk1_0)
| ~ in(ordered_pair(X1,X2),esk1_0)
| X1 = X2
| antisymmetric(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( ~ relation(X1)
| is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk6_2(X1,X2),esk7_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
relation(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( ~ in(ordered_pair(esk7_2(esk1_0,X1),esk6_2(esk1_0,X1)),esk1_0)
| antisymmetric(esk1_0)
| is_antisymmetric_in(esk1_0,X1)
| esk7_2(esk1_0,X1) = esk6_2(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_11,plain,
( ~ relation(X1)
| is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk7_2(X1,X2),esk6_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_12,plain,
! [X16] :
( ( ~ relation(X16)
| antisymmetric(X16)
| ~ is_antisymmetric_in(X16,relation_field(X16)) )
& ( ~ relation(X16)
| is_antisymmetric_in(X16,relation_field(X16))
| ~ antisymmetric(X16) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_relat_2])])])]) ).
cnf(c_0_13,plain,
( ~ relation(X1)
| esk6_2(X1,X2) != esk7_2(X1,X2)
| is_antisymmetric_in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
( antisymmetric(esk1_0)
| is_antisymmetric_in(esk1_0,X1)
| esk7_2(esk1_0,X1) = esk6_2(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9])]) ).
cnf(c_0_15,plain,
( ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1))
| antisymmetric(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( antisymmetric(esk1_0)
| is_antisymmetric_in(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_9])]) ).
cnf(c_0_17,negated_conjecture,
( ~ antisymmetric(esk1_0)
| in(ordered_pair(esk2_0,esk3_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
antisymmetric(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_9])]) ).
cnf(c_0_19,negated_conjecture,
( ~ antisymmetric(esk1_0)
| in(ordered_pair(esk3_0,esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( ~ antisymmetric(esk1_0)
| esk2_0 != esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_21,plain,
! [X28,X29,X30] :
( ( ~ relation(X30)
| ~ in(ordered_pair(X28,X29),X30)
| in(X29,relation_field(X30)) )
& ( ~ relation(X30)
| ~ in(ordered_pair(X28,X29),X30)
| in(X28,relation_field(X30)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t30_relat_1])])])]) ).
cnf(c_0_22,plain,
( ~ relation(X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X2)
| ~ in(X3,X2)
| ~ is_antisymmetric_in(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,negated_conjecture,
in(ordered_pair(esk2_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).
cnf(c_0_24,negated_conjecture,
in(ordered_pair(esk3_0,esk2_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_18])]) ).
cnf(c_0_25,negated_conjecture,
esk3_0 != esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_18])]) ).
cnf(c_0_26,plain,
( ~ relation(X2)
| ~ in(ordered_pair(X3,X1),X2)
| in(X1,relation_field(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( ~ relation(X2)
| ~ in(ordered_pair(X1,X3),X2)
| in(X1,relation_field(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( ~ in(esk3_0,X1)
| ~ in(esk2_0,X1)
| ~ is_antisymmetric_in(esk1_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_9]),c_0_24])]),c_0_25]) ).
cnf(c_0_29,plain,
( ~ relation(X1)
| ~ antisymmetric(X1)
| is_antisymmetric_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
in(esk2_0,relation_field(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_9])]) ).
cnf(c_0_31,negated_conjecture,
in(esk3_0,relation_field(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_9])]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_18]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU241+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n009.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 06:02:43 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.51 Running first-order theorem proving
% 0.27/0.51 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
% 0.27/0.55 % Version: 3.5.1
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.55 % Starting sh5l with 300s (1) cores
% 0.27/0.55 % new_bool_3 with pid 1005956 completed with status 0
% 0.27/0.55 % Result found by new_bool_3
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.55 % Search class: FGHSF-FFSF21-SFFFFFNN
% 0.27/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.55 % SubtermCWHack with pid 1005959 completed with status 0
% 0.27/0.55 % Result found by SubtermCWHack
% 0.27/0.55 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.55 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.55 % Search class: FGHSF-FFSF21-SFFFFFNN
% 0.27/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.55 % Preprocessing time : 0.002 s
% 0.27/0.55
% 0.27/0.55 % Proof found!
% 0.27/0.55 % SZS status Theorem
% 0.27/0.55 % SZS output start CNFRefutation
% See solution above
% 0.27/0.55 % Parsed axioms : 37
% 0.27/0.55 % Removed by relevancy pruning/SinE : 27
% 0.27/0.55 % Initial clauses : 21
% 0.27/0.55 % Removed in clause preprocessing : 0
% 0.27/0.55 % Initial clauses in saturation : 21
% 0.27/0.55 % Processed clauses : 60
% 0.27/0.55 % ...of these trivial : 0
% 0.27/0.55 % ...subsumed : 7
% 0.27/0.55 % ...remaining for further processing : 53
% 0.27/0.55 % Other redundant clauses eliminated : 0
% 0.27/0.55 % Clauses deleted for lack of memory : 0
% 0.27/0.55 % Backward-subsumed : 3
% 0.27/0.55 % Backward-rewritten : 4
% 0.27/0.55 % Generated clauses : 57
% 0.27/0.55 % ...of the previous two non-redundant : 55
% 0.27/0.55 % ...aggressively subsumed : 0
% 0.27/0.55 % Contextual simplify-reflections : 2
% 0.27/0.55 % Paramodulations : 57
% 0.27/0.55 % Factorizations : 0
% 0.27/0.55 % NegExts : 0
% 0.27/0.55 % Equation resolutions : 0
% 0.27/0.55 % Disequality decompositions : 0
% 0.27/0.55 % Total rewrite steps : 31
% 0.27/0.55 % ...of those cached : 26
% 0.27/0.55 % Propositional unsat checks : 0
% 0.27/0.55 % Propositional check models : 0
% 0.27/0.55 % Propositional check unsatisfiable : 0
% 0.27/0.55 % Propositional clauses : 0
% 0.27/0.55 % Propositional clauses after purity: 0
% 0.27/0.55 % Propositional unsat core size : 0
% 0.27/0.55 % Propositional preprocessing time : 0.000
% 0.27/0.55 % Propositional encoding time : 0.000
% 0.27/0.55 % Propositional solver time : 0.000
% 0.27/0.55 % Success case prop preproc time : 0.000
% 0.27/0.55 % Success case prop encoding time : 0.000
% 0.27/0.55 % Success case prop solver time : 0.000
% 0.27/0.55 % Current number of processed clauses : 46
% 0.27/0.55 % Positive orientable unit clauses : 7
% 0.27/0.55 % Positive unorientable unit clauses: 0
% 0.27/0.55 % Negative unit clauses : 9
% 0.27/0.55 % Non-unit-clauses : 30
% 0.27/0.55 % Current number of unprocessed clauses: 3
% 0.27/0.55 % ...number of literals in the above : 15
% 0.27/0.55 % Current number of archived formulas : 0
% 0.27/0.55 % Current number of archived clauses : 7
% 0.27/0.55 % Clause-clause subsumption calls (NU) : 375
% 0.27/0.55 % Rec. Clause-clause subsumption calls : 255
% 0.27/0.55 % Non-unit clause-clause subsumptions : 9
% 0.27/0.55 % Unit Clause-clause subsumption calls : 4
% 0.27/0.55 % Rewrite failures with RHS unbound : 0
% 0.27/0.55 % BW rewrite match attempts : 1
% 0.27/0.55 % BW rewrite match successes : 1
% 0.27/0.55 % Condensation attempts : 0
% 0.27/0.55 % Condensation successes : 0
% 0.27/0.55 % Termbank termtop insertions : 2569
% 0.27/0.55 % Search garbage collected termcells : 476
% 0.27/0.55
% 0.27/0.55 % -------------------------------------------------
% 0.27/0.55 % User time : 0.007 s
% 0.27/0.55 % System time : 0.006 s
% 0.27/0.55 % Total time : 0.013 s
% 0.27/0.55 % Maximum resident set size: 3656 pages
% 0.27/0.55
% 0.27/0.55 % -------------------------------------------------
% 0.27/0.55 % User time : 0.010 s
% 0.27/0.55 % System time : 0.013 s
% 0.27/0.55 % Total time : 0.023 s
% 0.27/0.55 % Maximum resident set size: 4864 pages
% 0.27/0.55 % E exiting
%------------------------------------------------------------------------------