%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU234+2 : 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 : n001.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 02:24:23 PM UTC 2026
% Result : Theorem 13.52s 2.47s
% Output : CNFRefutation 13.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 6 unt; 0 def)
% Number of atoms : 111 ( 9 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 125 ( 47 ~; 41 |; 24 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 41 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t31_ordinal1,conjecture,
! [X1] :
( ! [X2] :
( in(X2,X1)
=> ( subset(X2,X1)
& ordinal(X2) ) )
=> ordinal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_ordinal1) ).
fof(d3_ordinal1,axiom,
! [X1] :
( epsilon_connected(X1)
<=> ! [X2,X3] :
~ ( ~ in(X3,X2)
& X2 != X3
& ~ in(X2,X3)
& in(X3,X1)
& in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(d2_ordinal1,axiom,
! [X1] :
( epsilon_transitive(X1)
<=> ! [X2] :
( in(X2,X1)
=> subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(t24_ordinal1,lemma,
! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ~ ( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(cc2_ordinal1,axiom,
! [X1] :
( ( epsilon_connected(X1)
& epsilon_transitive(X1) )
=> ordinal(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_ordinal1) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ! [X2] :
( in(X2,X1)
=> ( subset(X2,X1)
& ordinal(X2) ) )
=> ordinal(X1) ),
inference(assume_negation,[status(cth)],[t31_ordinal1]) ).
fof(c_0_6,plain,
! [X1] :
( epsilon_connected(X1)
<=> ! [X2,X3] :
~ ( ~ in(X3,X2)
& X2 != X3
& ~ in(X2,X3)
& in(X3,X1)
& in(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[d3_ordinal1]) ).
fof(c_0_7,negated_conjecture,
! [X558] :
( ~ ordinal(esk85_0)
& ( ~ in(X558,esk85_0)
| subset(X558,esk85_0) )
& ( ~ in(X558,esk85_0)
| ordinal(X558) ) ),
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_5])])])])])]) ).
fof(c_0_8,plain,
! [X146,X147,X148] :
( ( epsilon_transitive(X148)
| ~ subset(esk27_1(X148),X148) )
& ( epsilon_transitive(X148)
| in(esk27_1(X148),X148) )
& ( subset(X147,X146)
| ~ in(X147,X146)
| ~ epsilon_transitive(X146) ) ),
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_ordinal1])])])])])])]) ).
fof(c_0_9,lemma,
! [X1] :
( ordinal(X1)
=> ! [X2] :
( ordinal(X2)
=> ~ ( ~ in(X2,X1)
& X1 != X2
& ~ in(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[t24_ordinal1]) ).
fof(c_0_10,plain,
! [X195,X196,X197,X198] :
( ( epsilon_connected(X198)
| ~ in(esk38_1(X198),esk37_1(X198)) )
& ( epsilon_connected(X198)
| esk37_1(X198) != esk38_1(X198) )
& ( epsilon_connected(X198)
| ~ in(esk37_1(X198),esk38_1(X198)) )
& ( epsilon_connected(X198)
| in(esk38_1(X198),X198) )
& ( epsilon_connected(X198)
| in(esk37_1(X198),X198) )
& ( in(X197,X196)
| X196 = X197
| in(X196,X197)
| ~ in(X197,X195)
| ~ in(X196,X195)
| ~ epsilon_connected(X195) ) ),
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)],[c_0_6])])])])])])]) ).
fof(c_0_11,plain,
! [X15] :
( ordinal(X15)
| ~ epsilon_connected(X15)
| ~ epsilon_transitive(X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_ordinal1])])]) ).
cnf(c_0_12,negated_conjecture,
( ~ in(X1,esk85_0)
| subset(X1,esk85_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( epsilon_transitive(X1)
| in(esk27_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( ~ subset(esk27_1(X1),X1)
| epsilon_transitive(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,lemma,
! [X538,X539] :
( in(X539,X538)
| X538 = X539
| in(X538,X539)
| ~ ordinal(X539)
| ~ ordinal(X538) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_16,negated_conjecture,
( ~ in(X1,esk85_0)
| ordinal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( epsilon_connected(X1)
| in(esk37_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( ~ epsilon_connected(X1)
| ~ epsilon_transitive(X1)
| ordinal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
epsilon_transitive(esk85_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_20,negated_conjecture,
~ ordinal(esk85_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,plain,
( epsilon_connected(X1)
| in(esk38_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( ~ in(esk38_1(X1),esk37_1(X1))
| epsilon_connected(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,lemma,
( ~ ordinal(X2)
| ~ ordinal(X1)
| in(X2,X1)
| X1 = X2
| in(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( ~ in(esk37_1(X1),esk38_1(X1))
| epsilon_connected(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,plain,
( esk37_1(X1) != esk38_1(X1)
| epsilon_connected(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
( ordinal(esk37_1(esk85_0))
| epsilon_connected(esk85_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_27,negated_conjecture,
~ epsilon_connected(esk85_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( ordinal(esk38_1(esk85_0))
| epsilon_connected(esk85_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_21]) ).
cnf(c_0_29,lemma,
( ~ ordinal(esk38_1(X1))
| ~ ordinal(esk37_1(X1))
| epsilon_connected(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_30,negated_conjecture,
ordinal(esk37_1(esk85_0)),
inference(sr,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
ordinal(esk38_1(esk85_0)),
inference(sr,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU234+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n001.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 21 06:07:43 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 13.52/2.47 % Version: 3.5.1
% 13.52/2.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 13.52/2.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.52/2.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 13.52/2.47 % Starting new_bool_3 with 300s (1) cores
% 13.52/2.47 % Starting new_bool_1 with 300s (1) cores
% 13.52/2.47 % Starting sh5l with 300s (1) cores
% 13.52/2.47 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2352061 completed with status 0
% 13.52/2.47 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 13.52/2.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 13.52/2.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.52/2.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 13.52/2.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 13.52/2.47 % No SInE strategy applied
% 13.52/2.47 % Search class: FGHSM-FSLM32-MFFFFFNN
% 13.52/2.47 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 13.52/2.47 % Starting SubtermCWHack with 136s (1) cores
% 13.52/2.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 13.52/2.47 % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 13.52/2.47 % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 13.52/2.47 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 13.52/2.47 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2352069 completed with status 0
% 13.52/2.47 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 13.52/2.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 13.52/2.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.52/2.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 13.52/2.47 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 13.52/2.47 % No SInE strategy applied
% 13.52/2.47 % Search class: FGHSM-FSLM32-MFFFFFNN
% 13.52/2.47 % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 13.52/2.47 % Starting SubtermCWHack with 136s (1) cores
% 13.52/2.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 13.52/2.47 % Preprocessing time : 0.006 s
% 13.52/2.47 % Presaturation interreduction done
% 13.52/2.47
% 13.52/2.47 % Proof found!
% 13.52/2.47 % SZS status Theorem
% 13.52/2.47 % SZS output start CNFRefutation
% See solution above
% 13.52/2.47 % Parsed axioms : 270
% 13.52/2.47 % Removed by relevancy pruning/SinE : 0
% 13.52/2.47 % Initial clauses : 547
% 13.52/2.47 % Removed in clause preprocessing : 29
% 13.52/2.47 % Initial clauses in saturation : 518
% 13.52/2.47 % Processed clauses : 14614
% 13.52/2.47 % ...of these trivial : 189
% 13.52/2.47 % ...subsumed : 10646
% 13.52/2.47 % ...remaining for further processing : 3779
% 13.52/2.47 % Other redundant clauses eliminated : 645
% 13.52/2.47 % Clauses deleted for lack of memory : 0
% 13.52/2.47 % Backward-subsumed : 71
% 13.52/2.47 % Backward-rewritten : 55
% 13.52/2.47 % Generated clauses : 161044
% 13.52/2.47 % ...of the previous two non-redundant : 150676
% 13.52/2.47 % ...aggressively subsumed : 0
% 13.52/2.47 % Contextual simplify-reflections : 72
% 13.52/2.47 % Paramodulations : 160344
% 13.52/2.47 % Factorizations : 62
% 13.52/2.47 % NegExts : 0
% 13.52/2.47 % Equation resolutions : 652
% 13.52/2.47 % Disequality decompositions : 0
% 13.52/2.47 % Total rewrite steps : 22284
% 13.52/2.47 % ...of those cached : 19890
% 13.52/2.47 % Propositional unsat checks : 0
% 13.52/2.47 % Propositional check models : 0
% 13.52/2.47 % Propositional check unsatisfiable : 0
% 13.52/2.47 % Propositional clauses : 0
% 13.52/2.47 % Propositional clauses after purity: 0
% 13.52/2.47 % Propositional unsat core size : 0
% 13.52/2.47 % Propositional preprocessing time : 0.000
% 13.52/2.47 % Propositional encoding time : 0.000
% 13.52/2.47 % Propositional solver time : 0.000
% 13.52/2.47 % Success case prop preproc time : 0.000
% 13.52/2.47 % Success case prop encoding time : 0.000
% 13.52/2.47 % Success case prop solver time : 0.000
% 13.52/2.47 % Current number of processed clauses : 3104
% 13.52/2.47 % Positive orientable unit clauses : 529
% 13.52/2.47 % Positive unorientable unit clauses: 3
% 13.52/2.47 % Negative unit clauses : 596
% 13.52/2.47 % Non-unit-clauses : 1976
% 13.52/2.47 % Current number of unprocessed clauses: 136767
% 13.52/2.47 % ...number of literals in the above : 495921
% 13.52/2.47 % Current number of archived formulas : 0
% 13.52/2.47 % Current number of archived clauses : 589
% 13.52/2.47 % Clause-clause subsumption calls (NU) : 832000
% 13.52/2.47 % Rec. Clause-clause subsumption calls : 528585
% 13.52/2.47 % Non-unit clause-clause subsumptions : 3141
% 13.52/2.47 % Unit Clause-clause subsumption calls : 142687
% 13.52/2.47 % Rewrite failures with RHS unbound : 0
% 13.52/2.47 % BW rewrite match attempts : 322
% 13.52/2.47 % BW rewrite match successes : 95
% 13.52/2.47 % Condensation attempts : 0
% 13.52/2.47 % Condensation successes : 0
% 13.52/2.47 % Termbank termtop insertions : 2074474
% 13.52/2.47 % Search garbage collected termcells : 9170
% 13.52/2.47
% 13.52/2.47 % -------------------------------------------------
% 13.52/2.47 % User time : 1.885 s
% 13.52/2.47 % System time : 0.083 s
% 13.52/2.47 % Total time : 1.968 s
% 13.52/2.47 % Maximum resident set size: 5444 pages
% 13.52/2.47
% 13.52/2.47 % -------------------------------------------------
% 13.52/2.47 % User time : 9.232 s
% 13.52/2.47 % System time : 0.368 s
% 13.52/2.47 % Total time : 9.599 s
% 13.52/2.47 % Maximum resident set size: 5120 pages
% 13.52/2.47 % E exiting
%------------------------------------------------------------------------------