%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWX200+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 03:14:14 PM UTC 2026
% Result : Theorem 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 39 ( 3 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 9 |; 3 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 5 sgn 13 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goal_016,conjecture,
? [X6,X8] :
~ ( ord(X6)
=> ( ~ ord(X8)
=> ord(merge(X6,X8)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_016) ).
fof(axiom_009,axiom,
! [X3] : merge(nil,X3) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).
fof(axiom_007,axiom,
! [X4] : ~ leqNat(s(X4),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).
fof(axiom_015,axiom,
! [X3,X7,X6] :
( ord(cons(X3,cons(X7,X6)))
<=> ( ord(cons(X7,X6))
& leqNat(X3,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_015) ).
fof(axiom_013,axiom,
ord(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_013) ).
fof(c_0_5,negated_conjecture,
~ ? [X6,X8] :
~ ( ord(X6)
=> ( ~ ord(X8)
=> ord(merge(X6,X8)) ) ),
inference(assume_negation,[status(cth)],[goal_016]) ).
fof(c_0_6,negated_conjecture,
~ ? [X6,X8] :
~ ( ord(X6)
=> ( ~ ord(X8)
=> ord(merge(X6,X8)) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_7,negated_conjecture,
! [X9,X10] :
( ord(merge(X9,X10))
| ord(X10)
| ~ ord(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_8,plain,
! [X15] : merge(nil,X15) = X15,
inference(variable_rename,[status(thm)],[axiom_009]) ).
fof(c_0_9,plain,
! [X4] : ~ leqNat(s(X4),z),
inference(fof_simplification,[status(thm)],[axiom_007]) ).
fof(c_0_10,plain,
! [X12,X13,X14] :
( ( ord(cons(X12,cons(X13,X14)))
| ~ ord(cons(X13,X14))
| ~ leqNat(X12,X13) )
& ( ~ ord(cons(X12,cons(X13,X14)))
| ord(cons(X13,X14)) )
& ( ~ ord(cons(X12,cons(X13,X14)))
| leqNat(X12,X13) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_015])])])]) ).
cnf(c_0_11,negated_conjecture,
( ~ ord(X1)
| ord(merge(X1,X2))
| ord(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
merge(nil,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
ord(nil),
inference(split_conjunct,[status(thm)],[axiom_013]) ).
fof(c_0_14,plain,
! [X31] : ~ leqNat(s(X31),z),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).
cnf(c_0_15,plain,
( ~ ord(cons(X1,cons(X2,X3)))
| leqNat(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
ord(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_17,plain,
~ leqNat(s(X1),z),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
leqNat(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_19,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX200+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:34:04 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 0.15/0.43 % Version: 3.5.1
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % Starting sh5l with 300s (1) cores
% 0.15/0.43 % new_bool_1 with pid 2341862 completed with status 0
% 0.15/0.43 % Result found by new_bool_1
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 % Search class: FGUSS-FFSF21-MFFFFFNN
% 0.15/0.43 % partial match(1): FGUSS-FFSF22-MFFFFFNN
% 0.15/0.43 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.43 % SubtermCWHack with pid 2341868 completed with status 0
% 0.15/0.43 % Result found by SubtermCWHack
% 0.15/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43 % Search class: FGUSS-FFSF21-MFFFFFNN
% 0.15/0.43 % partial match(1): FGUSS-FFSF22-MFFFFFNN
% 0.15/0.43 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.43 % Preprocessing time : 0.001 s
% 0.15/0.43
% 0.15/0.43 % Proof found!
% 0.15/0.43 % SZS status Theorem
% 0.15/0.43 % SZS output start CNFRefutation
% See solution above
% 0.15/0.43 % Parsed axioms : 16
% 0.15/0.43 % Removed by relevancy pruning/SinE : 4
% 0.15/0.43 % Initial clauses : 15
% 0.15/0.43 % Removed in clause preprocessing : 0
% 0.15/0.43 % Initial clauses in saturation : 15
% 0.15/0.43 % Processed clauses : 12
% 0.15/0.43 % ...of these trivial : 0
% 0.15/0.43 % ...subsumed : 0
% 0.15/0.43 % ...remaining for further processing : 12
% 0.15/0.43 % Other redundant clauses eliminated : 0
% 0.15/0.43 % Clauses deleted for lack of memory : 0
% 0.15/0.43 % Backward-subsumed : 0
% 0.15/0.43 % Backward-rewritten : 6
% 0.15/0.43 % Generated clauses : 2
% 0.15/0.43 % ...of the previous two non-redundant : 1
% 0.15/0.43 % ...aggressively subsumed : 0
% 0.15/0.43 % Contextual simplify-reflections : 0
% 0.15/0.43 % Paramodulations : 2
% 0.15/0.43 % Factorizations : 0
% 0.15/0.43 % NegExts : 0
% 0.15/0.43 % Equation resolutions : 0
% 0.15/0.43 % Disequality decompositions : 0
% 0.15/0.43 % Total rewrite steps : 12
% 0.15/0.43 % ...of those cached : 2
% 0.15/0.43 % Propositional unsat checks : 0
% 0.15/0.43 % Propositional check models : 0
% 0.15/0.43 % Propositional check unsatisfiable : 0
% 0.15/0.43 % Propositional clauses : 0
% 0.15/0.43 % Propositional clauses after purity: 0
% 0.15/0.43 % Propositional unsat core size : 0
% 0.15/0.43 % Propositional preprocessing time : 0.000
% 0.15/0.43 % Propositional encoding time : 0.000
% 0.15/0.43 % Propositional solver time : 0.000
% 0.15/0.43 % Success case prop preproc time : 0.000
% 0.15/0.43 % Success case prop encoding time : 0.000
% 0.15/0.43 % Success case prop solver time : 0.000
% 0.15/0.43 % Current number of processed clauses : 6
% 0.15/0.43 % Positive orientable unit clauses : 4
% 0.15/0.43 % Positive unorientable unit clauses: 0
% 0.15/0.43 % Negative unit clauses : 2
% 0.15/0.43 % Non-unit-clauses : 0
% 0.15/0.43 % Current number of unprocessed clauses: 4
% 0.15/0.43 % ...number of literals in the above : 9
% 0.15/0.43 % Current number of archived formulas : 0
% 0.15/0.43 % Current number of archived clauses : 6
% 0.15/0.43 % Clause-clause subsumption calls (NU) : 0
% 0.15/0.43 % Rec. Clause-clause subsumption calls : 0
% 0.15/0.43 % Non-unit clause-clause subsumptions : 0
% 0.15/0.43 % Unit Clause-clause subsumption calls : 0
% 0.15/0.43 % Rewrite failures with RHS unbound : 0
% 0.15/0.43 % BW rewrite match attempts : 8
% 0.15/0.43 % BW rewrite match successes : 8
% 0.15/0.43 % Condensation attempts : 0
% 0.15/0.43 % Condensation successes : 0
% 0.15/0.43 % Termbank termtop insertions : 890
% 0.15/0.43 % Search garbage collected termcells : 126
% 0.15/0.43
% 0.15/0.43 % -------------------------------------------------
% 0.15/0.43 % User time : 0.003 s
% 0.15/0.43 % System time : 0.003 s
% 0.15/0.43 % Total time : 0.005 s
% 0.15/0.43 % Maximum resident set size: 3644 pages
% 0.15/0.43
% 0.15/0.43 % -------------------------------------------------
% 0.15/0.43 % User time : 0.003 s
% 0.15/0.43 % System time : 0.006 s
% 0.15/0.43 % Total time : 0.009 s
% 0.15/0.43 % Maximum resident set size: 4864 pages
% 0.15/0.43 % E exiting
%------------------------------------------------------------------------------