%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC411+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 02:44:18 PM UTC 2026
% Result : Theorem 0.15s 10.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 61 ( 10 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 70 ( 22 ~; 18 |; 15 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 16 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( ! [X6] :
( ssItem(X6)
=> ( memberP(X1,X6)
| ~ memberP(X2,X6) ) )
| ? [X5] :
( memberP(X4,X5)
& ~ memberP(X3,X5)
& ssItem(X5) )
| X1 != X3
| X2 != X4 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( ! [X6] :
( ssItem(X6)
=> ( memberP(X1,X6)
| ~ memberP(X2,X6) ) )
| ? [X5] :
( memberP(X4,X5)
& ~ memberP(X3,X5)
& ssItem(X5) )
| X1 != X3
| X2 != X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( ! [X6] :
( ssItem(X6)
=> ( memberP(X1,X6)
| ~ memberP(X2,X6) ) )
| ? [X5] :
( memberP(X4,X5)
& ~ memberP(X3,X5)
& ssItem(X5) )
| X1 != X3
| X2 != X4 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X11] :
( ~ memberP(esk1_0,esk5_0)
& memberP(esk2_0,esk5_0)
& ssItem(esk5_0)
& ( ~ memberP(esk4_0,X11)
| memberP(esk3_0,X11)
| ~ ssItem(X11) )
& esk1_0 = esk3_0
& esk2_0 = esk4_0
& ssList(esk4_0)
& ssList(esk3_0)
& ssList(esk2_0)
& ssList(esk1_0) ),
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_2])])])])]) ).
cnf(c_0_4,negated_conjecture,
( ~ memberP(esk4_0,X1)
| ~ ssItem(X1)
| memberP(esk3_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
memberP(esk2_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( ~ ssItem(X1)
| ~ memberP(esk4_0,X1)
| memberP(esk1_0,X1) ),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_9,negated_conjecture,
memberP(esk4_0,esk5_0),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
ssItem(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
~ memberP(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC411+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/10.39 % Computer : n008.cluster.edu
% 0.11/10.39 % Model : x86_64 x86_64
% 0.11/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.39 % Memory : 8046.5625MB
% 0.11/10.39 % OS : Linux 6.8.0-71-generic
% 0.11/10.39 % CPULimit : 300
% 0.11/10.39 % WCLimit : 300
% 0.11/10.39 % DateTime : Mon Sep 21 08:23:19 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 0.15/10.45 % Version: 3.5.1
% 0.15/10.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/10.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.45 % Starting new_bool_1 with 300s (1) cores
% 0.15/10.45 % Starting sh5l with 300s (1) cores
% 0.15/10.45 % new_bool_3 with pid 571918 completed with status 0
% 0.15/10.45 % Result found by new_bool_3
% 0.15/10.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/10.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/10.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/10.45 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/10.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/10.45 % Starting SubtermCWHack with 31s (1) cores
% 0.15/10.45 % SubtermCWHack with pid 571921 completed with status 0
% 0.15/10.45 % Result found by SubtermCWHack
% 0.15/10.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/10.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/10.45 % Starting new_bool_3 with 300s (1) cores
% 0.15/10.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/10.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/10.45 % Search class: FGHSF-FFMM21-MFFFFFNN
% 0.15/10.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/10.45 % Starting SubtermCWHack with 31s (1) cores
% 0.15/10.45 % Preprocessing time : 0.002 s
% 0.15/10.45
% 0.15/10.45 % Proof found!
% 0.15/10.45 % SZS status Theorem
% 0.15/10.45 % SZS output start CNFRefutation
% See solution above
% 0.15/10.45 % Parsed axioms : 96
% 0.15/10.45 % Removed by relevancy pruning/SinE : 75
% 0.15/10.45 % Initial clauses : 44
% 0.15/10.45 % Removed in clause preprocessing : 0
% 0.15/10.45 % Initial clauses in saturation : 44
% 0.15/10.45 % Processed clauses : 19
% 0.15/10.45 % ...of these trivial : 0
% 0.15/10.45 % ...subsumed : 0
% 0.15/10.45 % ...remaining for further processing : 19
% 0.15/10.45 % Other redundant clauses eliminated : 0
% 0.15/10.45 % Clauses deleted for lack of memory : 0
% 0.15/10.45 % Backward-subsumed : 0
% 0.15/10.45 % Backward-rewritten : 2
% 0.15/10.45 % Generated clauses : 1
% 0.15/10.45 % ...of the previous two non-redundant : 0
% 0.15/10.45 % ...aggressively subsumed : 0
% 0.15/10.45 % Contextual simplify-reflections : 0
% 0.15/10.45 % Paramodulations : 1
% 0.15/10.45 % Factorizations : 0
% 0.15/10.45 % NegExts : 0
% 0.15/10.45 % Equation resolutions : 0
% 0.15/10.45 % Disequality decompositions : 0
% 0.15/10.45 % Total rewrite steps : 7
% 0.15/10.45 % ...of those cached : 2
% 0.15/10.45 % Propositional unsat checks : 0
% 0.15/10.45 % Propositional check models : 0
% 0.15/10.45 % Propositional check unsatisfiable : 0
% 0.15/10.45 % Propositional clauses : 0
% 0.15/10.45 % Propositional clauses after purity: 0
% 0.15/10.45 % Propositional unsat core size : 0
% 0.15/10.45 % Propositional preprocessing time : 0.000
% 0.15/10.45 % Propositional encoding time : 0.000
% 0.15/10.45 % Propositional solver time : 0.000
% 0.15/10.45 % Success case prop preproc time : 0.000
% 0.15/10.45 % Success case prop encoding time : 0.000
% 0.15/10.45 % Success case prop solver time : 0.000
% 0.15/10.45 % Current number of processed clauses : 17
% 0.15/10.45 % Positive orientable unit clauses : 9
% 0.15/10.45 % Positive unorientable unit clauses: 0
% 0.15/10.45 % Negative unit clauses : 2
% 0.15/10.45 % Non-unit-clauses : 6
% 0.15/10.45 % Current number of unprocessed clauses: 25
% 0.15/10.45 % ...number of literals in the above : 111
% 0.15/10.45 % Current number of archived formulas : 0
% 0.15/10.45 % Current number of archived clauses : 2
% 0.15/10.45 % Clause-clause subsumption calls (NU) : 3
% 0.15/10.45 % Rec. Clause-clause subsumption calls : 2
% 0.15/10.45 % Non-unit clause-clause subsumptions : 0
% 0.15/10.45 % Unit Clause-clause subsumption calls : 0
% 0.15/10.45 % Rewrite failures with RHS unbound : 0
% 0.15/10.45 % BW rewrite match attempts : 2
% 0.15/10.45 % BW rewrite match successes : 2
% 0.15/10.45 % Condensation attempts : 0
% 0.15/10.45 % Condensation successes : 0
% 0.15/10.45 % Termbank termtop insertions : 4366
% 0.15/10.45 % Search garbage collected termcells : 1454
% 0.15/10.45
% 0.15/10.45 % -------------------------------------------------
% 0.15/10.45 % User time : 0.004 s
% 0.15/10.45 % System time : 0.005 s
% 0.15/10.45 % Total time : 0.009 s
% 0.15/10.45 % Maximum resident set size: 3756 pages
% 0.15/10.45
% 0.15/10.45 % -------------------------------------------------
% 0.15/10.45 % User time : 0.006 s
% 0.15/10.45 % System time : 0.011 s
% 0.15/10.45 % Total time : 0.017 s
% 0.15/10.45 % Maximum resident set size: 4864 pages
% 0.15/10.45 % E exiting
%------------------------------------------------------------------------------