%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 01:23:03 PM UTC 2026
% Result : Theorem 0.30s 0.66s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 24 ( 9 avg)
% Number of connectives : 167 ( 81 ~; 71 |; 15 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 50 ( 0 sgn 44 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ! [X2] :
( ! [X1] :
( p11(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p12(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p13(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p15(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ ! [X1] :
( p12(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( p14(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( p12(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( p16(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(c_0_1,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ! [X1] :
( p11(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p12(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p13(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p15(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ ! [X1] :
( p12(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( p14(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( p12(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( p16(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) ),
inference(assume_negation,[status(cth)],[main]) ).
fof(c_0_2,negated_conjecture,
~ ~ ? [X1] :
~ ( ! [X2] :
( ! [X1] :
( p11(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p12(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p13(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ! [X2] :
( ! [X1] :
( p15(X1)
| ~ r1(X2,X1) )
| ~ r1(X1,X2) )
| ~ ! [X2] :
( ~ ( ~ ! [X1] :
( p12(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( p14(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( p12(X1)
| ~ r1(X2,X1) )
| ~ ! [X1] :
( p16(X1)
| ~ r1(X2,X1) ) )
| ~ r1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_3,negated_conjecture,
! [X5,X6,X7,X8,X9] :
( ~ p11(esk9_0)
& r1(esk8_0,esk9_0)
& r1(esk1_0,esk8_0)
& ~ p12(esk7_0)
& r1(esk6_0,esk7_0)
& r1(esk1_0,esk6_0)
& ~ p13(esk5_0)
& r1(esk4_0,esk5_0)
& r1(esk1_0,esk4_0)
& ~ p15(esk3_0)
& r1(esk2_0,esk3_0)
& r1(esk1_0,esk2_0)
& ( ~ r1(esk1_0,X5)
| p12(X9)
| ~ r1(X5,X9) )
& ( ~ r1(esk1_0,X5)
| p14(X8)
| ~ r1(X5,X8) )
& ( ~ r1(esk1_0,X5)
| p12(X7)
| ~ r1(X5,X7) )
& ( ~ r1(esk1_0,X5)
| p16(X6)
| ~ r1(X5,X6) ) ),
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_2])])])])])]) ).
cnf(c_0_4,negated_conjecture,
( ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| p12(X2) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,negated_conjecture,
r1(esk1_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
~ p12(esk7_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( ~ r1(esk6_0,X1)
| p12(X1) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
r1(esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.50 % Computer : n001.cluster.edu
% 0.20/0.50 % Model : x86_64 x86_64
% 0.20/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.50 % Memory : 8046.5625MB
% 0.20/0.50 % OS : Linux 6.8.0-71-generic
% 0.20/0.50 % CPULimit : 300
% 0.20/0.50 % WCLimit : 300
% 0.20/0.50 % DateTime : Mon Sep 21 01:01:58 UTC 2026
% 0.20/0.51 % CPUTime :
% 0.20/0.51 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.59 Running first-order theorem proving
% 0.24/0.59 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
% 0.30/0.66 % Version: 3.5.1
% 0.30/0.66 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.30/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.30/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.30/0.66 % Starting new_bool_1 with 300s (1) cores
% 0.30/0.66 % Starting sh5l with 300s (1) cores
% 0.30/0.66 % new_bool_3 with pid 1859035 completed with status 0
% 0.30/0.66 % Result found by new_bool_3
% 0.30/0.66 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.30/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.30/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.30/0.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.30/0.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.30/0.66 % Search class: FHUNF-FFSM00-SFFFFFNN
% 0.30/0.66 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.66 % Starting SubtermCWHack with 31s (1) cores
% 0.30/0.66 % SubtermCWHack with pid 1859042 completed with status 0
% 0.30/0.66 % Result found by SubtermCWHack
% 0.30/0.66 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.30/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.30/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.30/0.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.30/0.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.30/0.66 % Search class: FHUNF-FFSM00-SFFFFFNN
% 0.30/0.66 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.66 % Starting SubtermCWHack with 31s (1) cores
% 0.30/0.66 % Preprocessing time : 0.002 s
% 0.30/0.66
% 0.30/0.66 % Proof found!
% 0.30/0.66 % SZS status Theorem
% 0.30/0.66 % SZS output start CNFRefutation
% See solution above
% 0.30/0.66 % Parsed axioms : 3
% 0.30/0.66 % Removed by relevancy pruning/SinE : 0
% 0.30/0.66 % Initial clauses : 18
% 0.30/0.66 % Removed in clause preprocessing : 0
% 0.30/0.66 % Initial clauses in saturation : 18
% 0.30/0.66 % Processed clauses : 26
% 0.30/0.66 % ...of these trivial : 0
% 0.30/0.66 % ...subsumed : 1
% 0.30/0.66 % ...remaining for further processing : 25
% 0.30/0.66 % Other redundant clauses eliminated : 0
% 0.30/0.66 % Clauses deleted for lack of memory : 0
% 0.30/0.66 % Backward-subsumed : 0
% 0.30/0.66 % Backward-rewritten : 0
% 0.30/0.66 % Generated clauses : 13
% 0.30/0.66 % ...of the previous two non-redundant : 12
% 0.30/0.66 % ...aggressively subsumed : 0
% 0.30/0.66 % Contextual simplify-reflections : 0
% 0.30/0.66 % Paramodulations : 13
% 0.30/0.66 % Factorizations : 0
% 0.30/0.66 % NegExts : 0
% 0.30/0.66 % Equation resolutions : 0
% 0.30/0.66 % Disequality decompositions : 0
% 0.30/0.66 % Total rewrite steps : 1
% 0.30/0.66 % ...of those cached : 0
% 0.30/0.66 % Propositional unsat checks : 0
% 0.30/0.66 % Propositional check models : 0
% 0.30/0.66 % Propositional check unsatisfiable : 0
% 0.30/0.66 % Propositional clauses : 0
% 0.30/0.66 % Propositional clauses after purity: 0
% 0.30/0.66 % Propositional unsat core size : 0
% 0.30/0.66 % Propositional preprocessing time : 0.000
% 0.30/0.66 % Propositional encoding time : 0.000
% 0.30/0.66 % Propositional solver time : 0.000
% 0.30/0.66 % Success case prop preproc time : 0.000
% 0.30/0.66 % Success case prop encoding time : 0.000
% 0.30/0.66 % Success case prop solver time : 0.000
% 0.30/0.66 % Current number of processed clauses : 25
% 0.30/0.66 % Positive orientable unit clauses : 9
% 0.30/0.66 % Positive unorientable unit clauses: 0
% 0.30/0.66 % Negative unit clauses : 6
% 0.30/0.66 % Non-unit-clauses : 10
% 0.30/0.66 % Current number of unprocessed clauses: 4
% 0.30/0.66 % ...number of literals in the above : 10
% 0.30/0.66 % Current number of archived formulas : 0
% 0.30/0.66 % Current number of archived clauses : 0
% 0.30/0.66 % Clause-clause subsumption calls (NU) : 24
% 0.30/0.66 % Rec. Clause-clause subsumption calls : 24
% 0.30/0.66 % Non-unit clause-clause subsumptions : 1
% 0.30/0.66 % Unit Clause-clause subsumption calls : 20
% 0.30/0.66 % Rewrite failures with RHS unbound : 0
% 0.30/0.66 % BW rewrite match attempts : 8
% 0.30/0.66 % BW rewrite match successes : 0
% 0.30/0.66 % Condensation attempts : 0
% 0.30/0.66 % Condensation successes : 0
% 0.30/0.66 % Termbank termtop insertions : 1107
% 0.30/0.66 % Search garbage collected termcells : 224
% 0.30/0.66
% 0.30/0.66 % -------------------------------------------------
% 0.30/0.66 % User time : 0.008 s
% 0.30/0.66 % System time : 0.002 s
% 0.30/0.66 % Total time : 0.010 s
% 0.30/0.66 % Maximum resident set size: 3632 pages
% 0.30/0.66
% 0.30/0.66 % -------------------------------------------------
% 0.30/0.66 % User time : 0.011 s
% 0.30/0.66 % System time : 0.008 s
% 0.30/0.66 % Total time : 0.019 s
% 0.30/0.66 % Maximum resident set size: 4864 pages
% 0.30/0.66 % E exiting
%------------------------------------------------------------------------------