%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET753+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 02:15:09 PM UTC 2026
% Result : Theorem 16.54s 3.10s
% Output : CNFRefutation 19.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 75 ( 29 ~; 25 |; 15 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 62 ( 2 sgn 34 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIIa03,conjecture,
! [X6,X1,X2,X3,X5] :
( ( subset(X5,X1)
& subset(X3,X1)
& maps(X6,X1,X2) )
=> subset(image2(X6,intersection(X3,X5)),intersection(image2(X6,X3),image2(X6,X5))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa03) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(image2,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( apply(X6,X3,X5)
& member(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',image2) ).
fof(intersection,axiom,
! [X3,X1,X2] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X2)
& member(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(c_0_4,negated_conjecture,
~ ! [X6,X1,X2,X3,X5] :
( ( subset(X5,X1)
& subset(X3,X1)
& maps(X6,X1,X2) )
=> subset(image2(X6,intersection(X3,X5)),intersection(image2(X6,X3),image2(X6,X5))) ),
inference(assume_negation,[status(cth)],[thIIa03]) ).
fof(c_0_5,negated_conjecture,
( ~ subset(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0)))
& subset(esk45_0,esk42_0)
& subset(esk44_0,esk42_0)
& maps(esk41_0,esk42_0,esk43_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_6,plain,
! [X17,X18,X19,X20,X21] :
( ( subset(X20,X21)
| ~ member(esk1_2(X20,X21),X21) )
& ( subset(X20,X21)
| member(esk1_2(X20,X21),X20) )
& ( member(X19,X18)
| ~ member(X19,X17)
| ~ subset(X17,X18) ) ),
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)],[subset])])])])])])]) ).
fof(c_0_7,plain,
! [X161,X162,X163,X165,X166,X167,X168] :
( ( member(X167,image2(X165,X166))
| ~ apply(X165,X168,X167)
| ~ member(X168,X166) )
& ( ~ member(X163,image2(X161,X162))
| apply(X161,esk25_3(X161,X162,X163),X163) )
& ( ~ member(X163,image2(X161,X162))
| member(esk25_3(X161,X162,X163),X162) ) ),
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)],[image2])])])])])])]) ).
cnf(c_0_8,negated_conjecture,
~ subset(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( subset(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X27,X28,X29] :
( ( member(X27,intersection(X28,X29))
| ~ member(X27,X29)
| ~ member(X27,X28) )
& ( ~ member(X27,intersection(X28,X29))
| member(X27,X29) )
& ( ~ member(X27,intersection(X28,X29))
| member(X27,X28) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])])]) ).
cnf(c_0_11,plain,
( ~ member(X3,image2(X1,X2))
| member(esk25_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
member(esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),image2(esk41_0,intersection(esk44_0,esk45_0))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( ~ member(esk1_2(X1,X2),X2)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,plain,
( ~ apply(X3,X1,X4)
| ~ member(X1,X2)
| member(X4,image2(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( ~ member(X3,image2(X1,X2))
| apply(X1,esk25_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
( ~ member(X1,intersection(X3,X2))
| member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
member(esk25_3(esk41_0,intersection(esk44_0,esk45_0),esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0)))),intersection(esk44_0,esk45_0)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
~ member(esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),
inference(spm,[status(thm)],[c_0_8,c_0_13]) ).
cnf(c_0_19,plain,
( ~ member(X1,X3)
| ~ member(X1,X2)
| member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( ~ member(X1,image2(X2,X4))
| ~ member(esk25_3(X2,X4,X1),X3)
| member(X1,image2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
member(esk25_3(esk41_0,intersection(esk44_0,esk45_0),esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0)))),esk45_0),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( ~ member(X1,intersection(X2,X3))
| member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,negated_conjecture,
( ~ member(esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),image2(esk41_0,esk44_0))
| ~ member(esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),image2(esk41_0,esk45_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
member(esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),image2(esk41_0,esk45_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_12])]) ).
cnf(c_0_25,negated_conjecture,
member(esk25_3(esk41_0,intersection(esk44_0,esk45_0),esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0)))),esk44_0),
inference(spm,[status(thm)],[c_0_22,c_0_17]) ).
cnf(c_0_26,negated_conjecture,
~ member(esk1_2(image2(esk41_0,intersection(esk44_0,esk45_0)),intersection(image2(esk41_0,esk44_0),image2(esk41_0,esk45_0))),image2(esk41_0,esk44_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_25]),c_0_12])]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET753+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.48 % Computer : n013.cluster.edu
% 0.19/0.48 % Model : x86_64 x86_64
% 0.19/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.48 % Memory : 8046.5625MB
% 0.19/0.48 % OS : Linux 6.8.0-71-generic
% 0.19/0.49 % CPULimit : 300
% 0.19/0.49 % WCLimit : 300
% 0.19/0.49 % DateTime : Mon Sep 21 05:35:21 UTC 2026
% 0.19/0.49 % CPUTime :
% 0.19/0.49 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.58 Running first-order theorem proving
% 0.21/0.58 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
% 16.54/3.10 % Version: 3.5.1
% 16.54/3.10 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.54/3.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.54/3.10 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.54/3.10 % Starting new_bool_3 with 300s (1) cores
% 16.54/3.10 % Starting new_bool_1 with 300s (1) cores
% 16.54/3.10 % Starting sh5l with 300s (1) cores
% 16.54/3.10 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 38408 completed with status 0
% 16.54/3.10 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 16.54/3.10 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.54/3.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.54/3.10 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.54/3.10 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.54/3.10 % No SInE strategy applied
% 16.54/3.10 % Search class: FGHSF-FSLS33-SFFFFFNN
% 16.54/3.10 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.54/3.10 % Starting SubtermCWHack with 136s (1) cores
% 16.54/3.10 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 16.54/3.10 % Starting new_bool_3 with 458s (1) cores
% 16.54/3.10 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 211s (1) cores
% 16.54/3.10 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S045I with 136s (1) cores
% 16.54/3.10 % G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 38418 completed with status 0
% 16.54/3.10 % Result found by G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 16.54/3.10 % Preprocessing class: FSLSSMSSSSSNFFN.
% 16.54/3.10 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.54/3.10 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 16.54/3.10 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 16.54/3.10 % No SInE strategy applied
% 16.54/3.10 % Search class: FGHSF-FSLS33-SFFFFFNN
% 16.54/3.10 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 16.54/3.10 % Starting SubtermCWHack with 136s (1) cores
% 16.54/3.10 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 16.54/3.10 % Starting new_bool_3 with 458s (1) cores
% 16.54/3.10 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 211s (1) cores
% 16.54/3.10 % Preprocessing time : 0.004 s
% 16.54/3.10 % Presaturation interreduction done
% 16.54/3.10
% 16.54/3.10 % Proof found!
% 16.54/3.10 % SZS status Theorem
% 16.54/3.10 % SZS output start CNFRefutation
% See solution above
% 19.28/3.10 % Parsed axioms : 29
% 19.28/3.10 % Removed by relevancy pruning/SinE : 0
% 19.28/3.10 % Initial clauses : 138
% 19.28/3.10 % Removed in clause preprocessing : 0
% 19.28/3.10 % Initial clauses in saturation : 138
% 19.28/3.10 % Processed clauses : 6835
% 19.28/3.10 % ...of these trivial : 743
% 19.28/3.10 % ...subsumed : 2922
% 19.28/3.10 % ...remaining for further processing : 3169
% 19.28/3.10 % Other redundant clauses eliminated : 3
% 19.28/3.10 % Clauses deleted for lack of memory : 0
% 19.28/3.10 % Backward-subsumed : 124
% 19.28/3.10 % Backward-rewritten : 80
% 19.28/3.10 % Generated clauses : 79246
% 19.28/3.10 % ...of the previous two non-redundant : 72131
% 19.28/3.10 % ...aggressively subsumed : 0
% 19.28/3.10 % Contextual simplify-reflections : 1
% 19.28/3.10 % Paramodulations : 79241
% 19.28/3.10 % Factorizations : 2
% 19.28/3.10 % NegExts : 0
% 19.28/3.10 % Equation resolutions : 3
% 19.28/3.10 % Disequality decompositions : 0
% 19.28/3.10 % Total rewrite steps : 7996
% 19.28/3.10 % ...of those cached : 5867
% 19.28/3.10 % Propositional unsat checks : 0
% 19.28/3.10 % Propositional check models : 0
% 19.28/3.10 % Propositional check unsatisfiable : 0
% 19.28/3.10 % Propositional clauses : 0
% 19.28/3.10 % Propositional clauses after purity: 0
% 19.28/3.10 % Propositional unsat core size : 0
% 19.28/3.10 % Propositional preprocessing time : 0.000
% 19.28/3.10 % Propositional encoding time : 0.000
% 19.28/3.10 % Propositional solver time : 0.000
% 19.28/3.10 % Success case prop preproc time : 0.000
% 19.28/3.10 % Success case prop encoding time : 0.000
% 19.28/3.10 % Success case prop solver time : 0.000
% 19.28/3.10 % Current number of processed clauses : 2824
% 19.28/3.10 % Positive orientable unit clauses : 497
% 19.28/3.10 % Positive unorientable unit clauses: 0
% 19.28/3.10 % Negative unit clauses : 1747
% 19.28/3.10 % Non-unit-clauses : 580
% 19.28/3.10 % Current number of unprocessed clauses: 65508
% 19.28/3.10 % ...number of literals in the above : 103142
% 19.28/3.10 % Current number of archived formulas : 0
% 19.28/3.10 % Current number of archived clauses : 342
% 19.28/3.10 % Clause-clause subsumption calls (NU) : 87605
% 19.28/3.10 % Rec. Clause-clause subsumption calls : 64472
% 19.28/3.10 % Non-unit clause-clause subsumptions : 122
% 19.28/3.10 % Unit Clause-clause subsumption calls : 821220
% 19.28/3.10 % Rewrite failures with RHS unbound : 0
% 19.28/3.10 % BW rewrite match attempts : 7709
% 19.28/3.10 % BW rewrite match successes : 69
% 19.28/3.10 % Condensation attempts : 0
% 19.28/3.10 % Condensation successes : 0
% 19.28/3.10 % Termbank termtop insertions : 944615
% 19.28/3.10 % Search garbage collected termcells : 3095
% 19.28/3.10
% 19.28/3.10 % -------------------------------------------------
% 19.28/3.10 % User time : 2.248 s
% 19.28/3.10 % System time : 0.108 s
% 19.28/3.10 % Total time : 2.356 s
% 19.28/3.10 % Maximum resident set size: 3692 pages
% 19.28/3.10
% 19.28/3.10 % -------------------------------------------------
% 19.28/3.10 % User time : 11.010 s
% 19.28/3.10 % System time : 0.633 s
% 19.28/3.10 % Total time : 11.643 s
% 19.28/3.10 % Maximum resident set size: 4864 pages
% 19.28/3.10 % E exiting
%------------------------------------------------------------------------------