%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU180+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 : n003.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 02:24:09 PM UTC 2026
% Result : Theorem 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 123 ( 24 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 155 ( 62 ~; 65 |; 15 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-3 aty)
% Number of variables : 75 ( 8 sgn 40 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_xboole_0,axiom,
! [X1,X2,X3] :
( X3 = set_union2(X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( in(X4,X2)
| in(X4,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(t30_relat_1,conjecture,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X2,relation_field(X3))
& in(X1,relation_field(X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
fof(d6_relat_1,axiom,
! [X1] :
( relation(X1)
=> relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_relat_1) ).
fof(d5_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(d4_relat_1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(c_0_5,plain,
! [X10,X11,X12,X13,X14,X15,X16,X17] :
( ( X17 = set_union2(X15,X16)
| in(esk4_3(X15,X16,X17),X16)
| in(esk4_3(X15,X16,X17),X15)
| in(esk4_3(X15,X16,X17),X17) )
& ( X17 = set_union2(X15,X16)
| ~ in(esk4_3(X15,X16,X17),X17)
| ~ in(esk4_3(X15,X16,X17),X16) )
& ( X17 = set_union2(X15,X16)
| ~ in(esk4_3(X15,X16,X17),X17)
| ~ in(esk4_3(X15,X16,X17),X15) )
& ( X12 != set_union2(X10,X11)
| in(X14,X12)
| ~ in(X14,X11) )
& ( X12 != set_union2(X10,X11)
| in(X14,X12)
| ~ in(X14,X10) )
& ( X12 != set_union2(X10,X11)
| in(X13,X11)
| in(X13,X10)
| ~ in(X13,X12) ) ),
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)],[d2_xboole_0])])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X2,relation_field(X3))
& in(X1,relation_field(X3)) ) ) ),
inference(assume_negation,[status(cth)],[t30_relat_1]) ).
cnf(c_0_7,plain,
( X3 != set_union2(X4,X2)
| ~ in(X1,X2)
| in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X21] :
( relation_field(X21) = set_union2(relation_dom(X21),relation_rng(X21))
| ~ relation(X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_relat_1])])]) ).
fof(c_0_9,negated_conjecture,
( ( ~ in(esk2_0,relation_field(esk3_0))
| ~ in(esk1_0,relation_field(esk3_0)) )
& in(ordered_pair(esk1_0,esk2_0),esk3_0)
& relation(esk3_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
cnf(c_0_10,plain,
( ~ in(X1,X3)
| in(X1,set_union2(X2,X3)) ),
inference(er,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ relation(X1)
| relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( X3 != set_union2(X2,X4)
| ~ in(X1,X2)
| in(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_13,plain,
! [X38,X39,X40,X42,X43,X44,X46] :
( ( ~ relation(X38)
| X44 = relation_rng(X38)
| in(ordered_pair(esk10_2(X38,X44),esk9_2(X38,X44)),X38)
| in(esk9_2(X38,X44),X44) )
& ( ~ relation(X38)
| X44 = relation_rng(X38)
| ~ in(ordered_pair(X46,esk9_2(X38,X44)),X38)
| ~ in(esk9_2(X38,X44),X44) )
& ( ~ relation(X38)
| X39 != relation_rng(X38)
| in(X42,X39)
| ~ in(ordered_pair(X43,X42),X38) )
& ( ~ relation(X38)
| X39 != relation_rng(X38)
| in(ordered_pair(esk8_3(X38,X39,X40),X40),X38)
| ~ in(X40,X39) ) ),
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)],[d5_relat_1])])])])])])]) ).
cnf(c_0_14,negated_conjecture,
( ~ in(esk2_0,relation_field(esk3_0))
| ~ in(esk1_0,relation_field(esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( ~ in(X1,relation_rng(X2))
| ~ relation(X2)
| in(X1,relation_field(X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( ~ in(X1,X2)
| in(X1,set_union2(X2,X3)) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( ~ relation(X3)
| X4 != relation_rng(X3)
| ~ in(ordered_pair(X1,X2),X3)
| in(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X48,X49,X50,X52,X53,X54,X56] :
( ( ~ relation(X48)
| X54 = relation_dom(X48)
| in(ordered_pair(esk12_2(X48,X54),esk13_2(X48,X54)),X48)
| in(esk12_2(X48,X54),X54) )
& ( ~ relation(X48)
| X54 = relation_dom(X48)
| ~ in(ordered_pair(esk12_2(X48,X54),X56),X48)
| ~ in(esk12_2(X48,X54),X54) )
& ( ~ relation(X48)
| X49 != relation_dom(X48)
| in(X52,X49)
| ~ in(ordered_pair(X52,X53),X48) )
& ( ~ relation(X48)
| X49 != relation_dom(X48)
| in(ordered_pair(X50,esk11_3(X48,X49,X50)),X48)
| ~ in(X50,X49) ) ),
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_1])])])])])])]) ).
cnf(c_0_20,negated_conjecture,
( ~ in(esk2_0,relation_rng(esk3_0))
| ~ in(esk1_0,relation_field(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_21,plain,
( ~ in(X1,relation_dom(X2))
| ~ relation(X2)
| in(X1,relation_field(X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_22,plain,
( ~ in(ordered_pair(X3,X1),X2)
| ~ relation(X2)
| in(X1,relation_rng(X2)) ),
inference(er,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
in(ordered_pair(esk1_0,esk2_0),esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,plain,
( ~ relation(X3)
| X4 != relation_dom(X3)
| ~ in(ordered_pair(X1,X2),X3)
| in(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( ~ in(esk1_0,relation_dom(esk3_0))
| ~ in(esk2_0,relation_rng(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_16])]) ).
cnf(c_0_26,negated_conjecture,
in(esk2_0,relation_rng(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_16])]) ).
cnf(c_0_27,plain,
( ~ in(ordered_pair(X1,X3),X2)
| ~ relation(X2)
| in(X1,relation_dom(X2)) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_28,negated_conjecture,
~ in(esk1_0,relation_dom(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_16])]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU180+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:56:45 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.43 % Version: 3.5.1
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % Starting sh5l with 300s (1) cores
% 0.15/0.43 % new_bool_3 with pid 3556196 completed with status 0
% 0.15/0.43 % Result found by new_bool_3
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 % Search class: FGHSS-FFMS32-SFFFFFNN
% 0.15/0.43 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.43 % SubtermCWHack with pid 3556199 completed with status 0
% 0.15/0.43 % Result found by SubtermCWHack
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 % Search class: FGHSS-FFMS32-SFFFFFNN
% 0.15/0.43 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.43 % Preprocessing time : 0.002 s
% 0.15/0.43
% 0.15/0.43 % Proof found!
% 0.15/0.43 % SZS status Theorem
% 0.15/0.43 % SZS output start CNFRefutation
% See solution above
% 0.15/0.43 % Parsed axioms : 36
% 0.15/0.43 % Removed by relevancy pruning/SinE : 19
% 0.15/0.43 % Initial clauses : 31
% 0.15/0.43 % Removed in clause preprocessing : 0
% 0.15/0.43 % Initial clauses in saturation : 31
% 0.15/0.43 % Processed clauses : 103
% 0.15/0.43 % ...of these trivial : 0
% 0.15/0.43 % ...subsumed : 39
% 0.15/0.43 % ...remaining for further processing : 64
% 0.15/0.43 % Other redundant clauses eliminated : 5
% 0.15/0.43 % Clauses deleted for lack of memory : 0
% 0.15/0.43 % Backward-subsumed : 4
% 0.15/0.43 % Backward-rewritten : 5
% 0.15/0.43 % Generated clauses : 142
% 0.15/0.43 % ...of the previous two non-redundant : 132
% 0.15/0.43 % ...aggressively subsumed : 0
% 0.15/0.43 % Contextual simplify-reflections : 0
% 0.15/0.43 % Paramodulations : 137
% 0.15/0.43 % Factorizations : 0
% 0.15/0.43 % NegExts : 0
% 0.15/0.43 % Equation resolutions : 5
% 0.15/0.43 % Disequality decompositions : 0
% 0.15/0.43 % Total rewrite steps : 19
% 0.15/0.43 % ...of those cached : 14
% 0.15/0.43 % Propositional unsat checks : 0
% 0.15/0.43 % Propositional check models : 0
% 0.15/0.43 % Propositional check unsatisfiable : 0
% 0.15/0.43 % Propositional clauses : 0
% 0.15/0.43 % Propositional clauses after purity: 0
% 0.15/0.43 % Propositional unsat core size : 0
% 0.15/0.43 % Propositional preprocessing time : 0.000
% 0.15/0.43 % Propositional encoding time : 0.000
% 0.15/0.43 % Propositional solver time : 0.000
% 0.15/0.43 % Success case prop preproc time : 0.000
% 0.15/0.43 % Success case prop encoding time : 0.000
% 0.15/0.43 % Success case prop solver time : 0.000
% 0.15/0.43 % Current number of processed clauses : 50
% 0.15/0.43 % Positive orientable unit clauses : 7
% 0.15/0.43 % Positive unorientable unit clauses: 1
% 0.15/0.43 % Negative unit clauses : 10
% 0.15/0.43 % Non-unit-clauses : 32
% 0.15/0.43 % Current number of unprocessed clauses: 56
% 0.15/0.43 % ...number of literals in the above : 197
% 0.15/0.43 % Current number of archived formulas : 0
% 0.15/0.43 % Current number of archived clauses : 9
% 0.15/0.43 % Clause-clause subsumption calls (NU) : 359
% 0.15/0.43 % Rec. Clause-clause subsumption calls : 269
% 0.15/0.43 % Non-unit clause-clause subsumptions : 37
% 0.15/0.43 % Unit Clause-clause subsumption calls : 13
% 0.15/0.43 % Rewrite failures with RHS unbound : 0
% 0.15/0.43 % BW rewrite match attempts : 8
% 0.15/0.43 % BW rewrite match successes : 8
% 0.15/0.43 % Condensation attempts : 0
% 0.15/0.43 % Condensation successes : 0
% 0.15/0.43 % Termbank termtop insertions : 3710
% 0.15/0.43 % Search garbage collected termcells : 685
% 0.15/0.43
% 0.15/0.43 % -------------------------------------------------
% 0.15/0.43 % User time : 0.008 s
% 0.15/0.43 % System time : 0.004 s
% 0.15/0.43 % Total time : 0.012 s
% 0.15/0.43 % Maximum resident set size: 3656 pages
% 0.15/0.43
% 0.15/0.43 % -------------------------------------------------
% 0.15/0.43 % User time : 0.008 s
% 0.15/0.43 % System time : 0.008 s
% 0.15/0.43 % Total time : 0.016 s
% 0.15/0.43 % Maximum resident set size: 4864 pages
% 0.15/0.43 % E exiting
%------------------------------------------------------------------------------