%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC044+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 : n016.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 02:42:45 PM UTC 2026
% Result : Theorem 0.09s 0.43s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 58 ( 26 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 64 ( 23 ~; 18 |; 9 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( nil = X1
| ~ rearsegP(X4,X3)
| X1 != X3
| X2 != X4
| nil != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax52,axiom,
! [X1] :
( ssList(X1)
=> ( rearsegP(nil,X1)
<=> nil = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax52) ).
fof(c_0_2,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( nil = X1
| ~ rearsegP(X4,X3)
| X1 != X3
| X2 != X4
| nil != X2 ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( nil = X1
| ~ rearsegP(X4,X3)
| X1 != X3
| X2 != X4
| nil != X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_4,negated_conjecture,
( nil != esk1_0
& rearsegP(esk4_0,esk3_0)
& esk1_0 = esk3_0
& esk2_0 = esk4_0
& nil = esk2_0
& ssList(esk4_0)
& ssList(esk3_0)
& ssList(esk2_0)
& ssList(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_5,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,negated_conjecture,
nil = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,plain,
! [X30] :
( ( ~ ssList(X30)
| rearsegP(nil,X30)
| nil != X30 )
& ( ~ ssList(X30)
| nil = X30
| ~ rearsegP(nil,X30) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])])]) ).
cnf(c_0_8,negated_conjecture,
rearsegP(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
esk4_0 = nil,
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
nil != esk1_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( ~ ssList(X1)
| ~ rearsegP(nil,X1)
| nil = X1 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
rearsegP(nil,esk3_0),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
ssList(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
esk3_0 != nil,
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC044+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 07:56:25 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.43 % Version: 3.5.1
% 0.09/0.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.09/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.43 % Starting sh5l with 300s (1) cores
% 0.09/0.43 % new_bool_1 with pid 1952352 completed with status 0
% 0.09/0.43 % Result found by new_bool_1
% 0.09/0.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.09/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.09/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.09/0.43 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.09/0.43 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.43 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.43 % SubtermCWHack with pid 1952354 completed with status 0
% 0.09/0.43 % Result found by SubtermCWHack
% 0.09/0.43 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.09/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.09/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.09/0.43 % Search class: FGHSF-FFMM21-SFFFFFNN
% 0.09/0.43 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.43 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.43 % Preprocessing time : 0.002 s
% 0.09/0.43
% 0.09/0.43 % Proof found!
% 0.09/0.43 % SZS status Theorem
% 0.09/0.43 % SZS output start CNFRefutation
% See solution above
% 0.09/0.43 % Parsed axioms : 96
% 0.09/0.43 % Removed by relevancy pruning/SinE : 72
% 0.09/0.43 % Initial clauses : 42
% 0.09/0.43 % Removed in clause preprocessing : 0
% 0.09/0.43 % Initial clauses in saturation : 42
% 0.09/0.43 % Processed clauses : 22
% 0.09/0.43 % ...of these trivial : 0
% 0.09/0.43 % ...subsumed : 0
% 0.09/0.43 % ...remaining for further processing : 22
% 0.09/0.43 % Other redundant clauses eliminated : 1
% 0.09/0.43 % Clauses deleted for lack of memory : 0
% 0.09/0.43 % Backward-subsumed : 0
% 0.09/0.43 % Backward-rewritten : 3
% 0.09/0.43 % Generated clauses : 2
% 0.09/0.43 % ...of the previous two non-redundant : 1
% 0.09/0.43 % ...aggressively subsumed : 0
% 0.09/0.43 % Contextual simplify-reflections : 0
% 0.09/0.43 % Paramodulations : 1
% 0.09/0.43 % Factorizations : 0
% 0.09/0.43 % NegExts : 0
% 0.09/0.43 % Equation resolutions : 1
% 0.09/0.43 % Disequality decompositions : 0
% 0.09/0.43 % Total rewrite steps : 11
% 0.09/0.43 % ...of those cached : 6
% 0.09/0.43 % Propositional unsat checks : 0
% 0.09/0.43 % Propositional check models : 0
% 0.09/0.43 % Propositional check unsatisfiable : 0
% 0.09/0.43 % Propositional clauses : 0
% 0.09/0.43 % Propositional clauses after purity: 0
% 0.09/0.43 % Propositional unsat core size : 0
% 0.09/0.43 % Propositional preprocessing time : 0.000
% 0.09/0.43 % Propositional encoding time : 0.000
% 0.09/0.43 % Propositional solver time : 0.000
% 0.09/0.43 % Success case prop preproc time : 0.000
% 0.09/0.43 % Success case prop encoding time : 0.000
% 0.09/0.43 % Success case prop solver time : 0.000
% 0.09/0.43 % Current number of processed clauses : 18
% 0.09/0.43 % Positive orientable unit clauses : 9
% 0.09/0.43 % Positive unorientable unit clauses: 0
% 0.09/0.43 % Negative unit clauses : 2
% 0.09/0.43 % Non-unit-clauses : 7
% 0.09/0.43 % Current number of unprocessed clauses: 21
% 0.09/0.43 % ...number of literals in the above : 90
% 0.09/0.43 % Current number of archived formulas : 0
% 0.09/0.43 % Current number of archived clauses : 3
% 0.09/0.43 % Clause-clause subsumption calls (NU) : 9
% 0.09/0.43 % Rec. Clause-clause subsumption calls : 9
% 0.09/0.43 % Non-unit clause-clause subsumptions : 0
% 0.09/0.43 % Unit Clause-clause subsumption calls : 1
% 0.09/0.43 % Rewrite failures with RHS unbound : 0
% 0.09/0.43 % BW rewrite match attempts : 3
% 0.09/0.43 % BW rewrite match successes : 3
% 0.09/0.43 % Condensation attempts : 0
% 0.09/0.43 % Condensation successes : 0
% 0.09/0.43 % Termbank termtop insertions : 4187
% 0.09/0.43 % Search garbage collected termcells : 1339
% 0.09/0.43
% 0.09/0.43 % -------------------------------------------------
% 0.09/0.43 % User time : 0.005 s
% 0.09/0.43 % System time : 0.001 s
% 0.09/0.43 % Total time : 0.006 s
% 0.09/0.43 % Maximum resident set size: 3756 pages
% 0.09/0.43
% 0.09/0.43 % -------------------------------------------------
% 0.09/0.43 % User time : 0.008 s
% 0.09/0.43 % System time : 0.007 s
% 0.09/0.43 % Total time : 0.015 s
% 0.09/0.43 % Maximum resident set size: 4608 pages
% 0.09/0.43 % E exiting
%------------------------------------------------------------------------------