%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SWV413+1 : TPTP v9.3.1. Released v3.3.0.
% 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 03:01:32 PM UTC 2026
% Result : Theorem 0.40s 0.62s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 31 ( 11 ~; 7 |; 10 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 17 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l49_co,conjecture,
! [X1,X2,X3,X4] :
( ( less_than(X4,X3)
& strictly_less_than(X2,X4)
& pair_in_list(X1,X2,X3) )
=> ? [X5] :
( less_than(X4,X5)
& pair_in_list(update_slb(X1,X4),X2,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l49_co) ).
fof(l49_li3637,lemma,
! [X1,X2,X3,X4] :
( ( less_than(X4,X3)
& pair_in_list(X1,X2,X3) )
=> pair_in_list(update_slb(X1,X4),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l49_li3637) ).
fof(c_0_2,negated_conjecture,
~ ! [X1,X2,X3,X4] :
( ( less_than(X4,X3)
& strictly_less_than(X2,X4)
& pair_in_list(X1,X2,X3) )
=> ? [X5] :
( less_than(X4,X5)
& pair_in_list(update_slb(X1,X4),X2,X5) ) ),
inference(assume_negation,[status(cth)],[l49_co]) ).
fof(c_0_3,negated_conjecture,
! [X10] :
( ( ~ less_than(esk4_0,X10)
| ~ pair_in_list(update_slb(esk1_0,esk4_0),esk2_0,X10) )
& less_than(esk4_0,esk3_0)
& strictly_less_than(esk2_0,esk4_0)
& pair_in_list(esk1_0,esk2_0,esk3_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])])])])]) ).
fof(c_0_4,lemma,
! [X23,X24,X25,X26] :
( pair_in_list(update_slb(X23,X26),X24,X25)
| ~ less_than(X26,X25)
| ~ pair_in_list(X23,X24,X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l49_li3637])])]) ).
cnf(c_0_5,negated_conjecture,
( ~ less_than(esk4_0,X1)
| ~ pair_in_list(update_slb(esk1_0,esk4_0),esk2_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,lemma,
( ~ less_than(X4,X3)
| ~ pair_in_list(X1,X2,X3)
| pair_in_list(update_slb(X1,X4),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( ~ less_than(esk4_0,X1)
| ~ pair_in_list(esk1_0,esk2_0,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
pair_in_list(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
less_than(esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV413+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n004.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 08:45:20 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 0.40/0.62 % Version: 3.5.1
% 0.40/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.40/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.40/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.40/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.40/0.62 % Starting sh5l with 300s (1) cores
% 0.40/0.62 % sh5l with pid 2754122 completed with status 0
% 0.40/0.62 % Result found by sh5l
% 0.40/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.40/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.40/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.40/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.40/0.62 % Starting sh5l with 300s (1) cores
% 0.40/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.40/0.62 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.40/0.62 % Search class: FGHSM-FFMS22-MFFFFFNN
% 0.40/0.62 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.40/0.62 % Starting SubtermCWHack with 31s (1) cores
% 0.40/0.62 % SubtermCWHack with pid 2754123 completed with status 0
% 0.40/0.62 % Result found by SubtermCWHack
% 0.40/0.62 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.40/0.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.62 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.40/0.62 % Starting new_bool_3 with 300s (1) cores
% 0.40/0.62 % Starting new_bool_1 with 300s (1) cores
% 0.40/0.62 % Starting sh5l with 300s (1) cores
% 0.40/0.62 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.40/0.62 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.40/0.62 % Search class: FGHSM-FFMS22-MFFFFFNN
% 0.40/0.62 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.40/0.62 % Starting SubtermCWHack with 31s (1) cores
% 0.40/0.62 % Preprocessing time : 0.002 s
% 0.40/0.62
% 0.40/0.62 % Proof found!
% 0.40/0.62 % SZS status Theorem
% 0.40/0.62 % SZS output start CNFRefutation
% See solution above
% 0.40/0.62 % Parsed axioms : 20
% 0.40/0.62 % Removed by relevancy pruning/SinE : 1
% 0.40/0.62 % Initial clauses : 29
% 0.40/0.62 % Removed in clause preprocessing : 0
% 0.40/0.62 % Initial clauses in saturation : 29
% 0.40/0.62 % Processed clauses : 122
% 0.40/0.62 % ...of these trivial : 0
% 0.40/0.62 % ...subsumed : 66
% 0.40/0.62 % ...remaining for further processing : 56
% 0.40/0.62 % Other redundant clauses eliminated : 3
% 0.40/0.62 % Clauses deleted for lack of memory : 0
% 0.40/0.62 % Backward-subsumed : 0
% 0.40/0.62 % Backward-rewritten : 0
% 0.40/0.62 % Generated clauses : 378
% 0.40/0.62 % ...of the previous two non-redundant : 271
% 0.40/0.62 % ...aggressively subsumed : 0
% 0.40/0.62 % Contextual simplify-reflections : 1
% 0.40/0.62 % Paramodulations : 350
% 0.40/0.62 % Factorizations : 26
% 0.40/0.62 % NegExts : 0
% 0.40/0.62 % Equation resolutions : 3
% 0.40/0.62 % Disequality decompositions : 0
% 0.40/0.62 % Total rewrite steps : 105
% 0.40/0.62 % ...of those cached : 89
% 0.40/0.62 % Propositional unsat checks : 0
% 0.40/0.62 % Propositional check models : 0
% 0.40/0.62 % Propositional check unsatisfiable : 0
% 0.40/0.62 % Propositional clauses : 0
% 0.40/0.62 % Propositional clauses after purity: 0
% 0.40/0.62 % Propositional unsat core size : 0
% 0.40/0.62 % Propositional preprocessing time : 0.000
% 0.40/0.62 % Propositional encoding time : 0.000
% 0.40/0.62 % Propositional solver time : 0.000
% 0.40/0.62 % Success case prop preproc time : 0.000
% 0.40/0.62 % Success case prop encoding time : 0.000
% 0.40/0.62 % Success case prop solver time : 0.000
% 0.40/0.62 % Current number of processed clauses : 54
% 0.40/0.62 % Positive orientable unit clauses : 11
% 0.40/0.62 % Positive unorientable unit clauses: 0
% 0.40/0.62 % Negative unit clauses : 4
% 0.40/0.62 % Non-unit-clauses : 39
% 0.40/0.62 % Current number of unprocessed clauses: 178
% 0.40/0.62 % ...number of literals in the above : 762
% 0.40/0.62 % Current number of archived formulas : 0
% 0.40/0.62 % Current number of archived clauses : 0
% 0.40/0.62 % Clause-clause subsumption calls (NU) : 1255
% 0.40/0.62 % Rec. Clause-clause subsumption calls : 931
% 0.40/0.62 % Non-unit clause-clause subsumptions : 67
% 0.40/0.62 % Unit Clause-clause subsumption calls : 2
% 0.40/0.62 % Rewrite failures with RHS unbound : 0
% 0.40/0.62 % BW rewrite match attempts : 1
% 0.40/0.62 % BW rewrite match successes : 0
% 0.40/0.62 % Condensation attempts : 0
% 0.40/0.62 % Condensation successes : 0
% 0.40/0.62 % Termbank termtop insertions : 5711
% 0.40/0.62 % Search garbage collected termcells : 332
% 0.40/0.62
% 0.40/0.62 % -------------------------------------------------
% 0.40/0.62 % User time : 0.018 s
% 0.40/0.62 % System time : 0.005 s
% 0.40/0.62 % Total time : 0.023 s
% 0.40/0.62 % Maximum resident set size: 3656 pages
% 0.40/0.62
% 0.40/0.62 % -------------------------------------------------
% 0.40/0.62 % User time : 0.021 s
% 0.40/0.62 % System time : 0.011 s
% 0.40/0.62 % Total time : 0.032 s
% 0.40/0.62 % Maximum resident set size: 4864 pages
% 0.40/0.62 % E exiting
%------------------------------------------------------------------------------