%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC006+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 02:42:34 PM UTC 2026
% Result : Theorem 0.28s 0.46s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 83 ( 33 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 103 ( 35 ~; 30 |; 23 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 24 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( app(X8,X10) != X3
| app(app(X8,X9),X10) != X4
| ~ ssList(X10) ) ) )
| ? [X5] :
( ? [X6] :
( ? [X7] :
( app(X5,X7) = X1
& app(app(X5,X6),X7) = X2
& ssList(X7) )
& ssList(X6) )
& ssList(X5) )
| X1 != X3
| X2 != X4
| ~ ssList(X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( app(X8,X10) != X3
| app(app(X8,X9),X10) != X4
| ~ ssList(X10) ) ) )
| ? [X5] :
( ? [X6] :
( ? [X7] :
( app(X5,X7) = X1
& app(app(X5,X6),X7) = X2
& ssList(X7) )
& ssList(X6) )
& ssList(X5) )
| X1 != X3
| X2 != X4
| ~ ssList(X4) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( app(X8,X10) != X3
| app(app(X8,X9),X10) != X4
| ~ ssList(X10) ) ) )
| ? [X5] :
( ? [X6] :
( ? [X7] :
( app(X5,X7) = X1
& app(app(X5,X6),X7) = X2
& ssList(X7) )
& ssList(X6) )
& ssList(X5) )
| X1 != X3
| X2 != X4
| ~ ssList(X4) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X15,X16,X17] :
( app(esk5_0,esk7_0) = esk3_0
& app(app(esk5_0,esk6_0),esk7_0) = esk4_0
& ssList(esk7_0)
& ssList(esk6_0)
& ssList(esk5_0)
& ( app(X15,X17) != esk1_0
| app(app(X15,X16),X17) != esk2_0
| ~ ssList(X17)
| ~ ssList(X16)
| ~ ssList(X15) )
& 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,
( app(X1,X3) != esk1_0
| app(app(X1,X2),X3) != esk2_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
app(esk5_0,esk7_0) = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X1,X3) != esk1_0
| app(app(X1,X2),X3) != esk4_0 ),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_9,negated_conjecture,
app(app(esk5_0,esk6_0),esk7_0) = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
app(esk5_0,esk7_0) = esk1_0,
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
ssList(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
ssList(esk6_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
ssList(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,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_8,c_0_9]),c_0_10]),c_0_11]),c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC006+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n004.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 07:48:35 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.28/0.46 % Version: 3.5.1
% 0.28/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.28/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.28/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.28/0.46 % Starting sh5l with 300s (1) cores
% 0.28/0.46 % new_bool_3 with pid 2635337 completed with status 0
% 0.28/0.46 % Result found by new_bool_3
% 0.28/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.28/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.28/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.46 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.28/0.46 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.28/0.46 % SubtermCWHack with pid 2635340 completed with status 0
% 0.28/0.46 % Result found by SubtermCWHack
% 0.28/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.28/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.28/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.46 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.28/0.46 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.28/0.46 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.28/0.46 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.28/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.28/0.46 % Preprocessing time : 0.002 s
% 0.28/0.46
% 0.28/0.46 % Proof found!
% 0.28/0.46 % SZS status Theorem
% 0.28/0.46 % SZS output start CNFRefutation
% See solution above
% 0.28/0.46 % Parsed axioms : 96
% 0.28/0.46 % Removed by relevancy pruning/SinE : 79
% 0.28/0.46 % Initial clauses : 35
% 0.28/0.46 % Removed in clause preprocessing : 0
% 0.28/0.46 % Initial clauses in saturation : 35
% 0.28/0.46 % Processed clauses : 121
% 0.28/0.46 % ...of these trivial : 1
% 0.28/0.46 % ...subsumed : 37
% 0.28/0.46 % ...remaining for further processing : 83
% 0.28/0.46 % Other redundant clauses eliminated : 10
% 0.28/0.46 % Clauses deleted for lack of memory : 0
% 0.28/0.46 % Backward-subsumed : 1
% 0.28/0.46 % Backward-rewritten : 2
% 0.28/0.46 % Generated clauses : 638
% 0.28/0.46 % ...of the previous two non-redundant : 525
% 0.28/0.46 % ...aggressively subsumed : 0
% 0.28/0.46 % Contextual simplify-reflections : 0
% 0.28/0.46 % Paramodulations : 625
% 0.28/0.46 % Factorizations : 0
% 0.28/0.46 % NegExts : 0
% 0.28/0.46 % Equation resolutions : 14
% 0.28/0.46 % Disequality decompositions : 0
% 0.28/0.46 % Total rewrite steps : 674
% 0.28/0.46 % ...of those cached : 664
% 0.28/0.46 % Propositional unsat checks : 0
% 0.28/0.46 % Propositional check models : 0
% 0.28/0.46 % Propositional check unsatisfiable : 0
% 0.28/0.46 % Propositional clauses : 0
% 0.28/0.46 % Propositional clauses after purity: 0
% 0.28/0.46 % Propositional unsat core size : 0
% 0.28/0.46 % Propositional preprocessing time : 0.000
% 0.28/0.46 % Propositional encoding time : 0.000
% 0.28/0.46 % Propositional solver time : 0.000
% 0.28/0.46 % Success case prop preproc time : 0.000
% 0.28/0.46 % Success case prop encoding time : 0.000
% 0.28/0.46 % Success case prop solver time : 0.000
% 0.28/0.46 % Current number of processed clauses : 79
% 0.28/0.46 % Positive orientable unit clauses : 14
% 0.28/0.46 % Positive unorientable unit clauses: 0
% 0.28/0.46 % Negative unit clauses : 1
% 0.28/0.46 % Non-unit-clauses : 64
% 0.28/0.46 % Current number of unprocessed clauses: 398
% 0.28/0.46 % ...number of literals in the above : 1501
% 0.28/0.46 % Current number of archived formulas : 0
% 0.28/0.46 % Current number of archived clauses : 3
% 0.28/0.46 % Clause-clause subsumption calls (NU) : 359
% 0.28/0.46 % Rec. Clause-clause subsumption calls : 325
% 0.28/0.46 % Non-unit clause-clause subsumptions : 38
% 0.28/0.46 % Unit Clause-clause subsumption calls : 0
% 0.28/0.46 % Rewrite failures with RHS unbound : 0
% 0.28/0.46 % BW rewrite match attempts : 2
% 0.28/0.46 % BW rewrite match successes : 2
% 0.28/0.46 % Condensation attempts : 0
% 0.28/0.46 % Condensation successes : 0
% 0.28/0.46 % Termbank termtop insertions : 11476
% 0.28/0.46 % Search garbage collected termcells : 1288
% 0.28/0.46
% 0.28/0.46 % -------------------------------------------------
% 0.28/0.46 % User time : 0.014 s
% 0.28/0.46 % System time : 0.002 s
% 0.28/0.46 % Total time : 0.016 s
% 0.28/0.46 % Maximum resident set size: 3760 pages
% 0.28/0.46
% 0.28/0.46 % -------------------------------------------------
% 0.28/0.46 % User time : 0.018 s
% 0.28/0.46 % System time : 0.006 s
% 0.28/0.46 % Total time : 0.025 s
% 0.28/0.46 % Maximum resident set size: 4608 pages
% 0.28/0.46 % E exiting
%------------------------------------------------------------------------------