%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COM004-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:11:25 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.64s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 17 unt; 0 nHn; 19 RR)
% Number of literals : 41 ( 4 equ; 22 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(make_node,axiom,
( ~ siblings(X1,X2)
| ~ contradictory(X5,X6)
| ~ failure_node(X2,or(X4,X6))
| ~ failure_node(X1,or(X3,X5))
| failure_node(parent_of(X1,X2),or(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_node) ).
cnf(n_right_is_not_atom,hypothesis,
failure_node(n_right,or(empty,negate(atom))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_right_is_not_atom) ).
cnf(goal_is_there_an_empty_node,negated_conjecture,
~ failure_node(X1,or(empty,empty)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_is_there_an_empty_node) ).
cnf(x_contradicts_not_x,axiom,
contradictory(X1,negate(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_contradicts_not_x) ).
cnf(n_left_and_n_right_are_siblings,axiom,
siblings(left_child_of(X1),right_child_of(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_and_n_right_are_siblings) ).
cnf(n_right_equals_right_child_of_n,hypothesis,
n_right = right_child_of(n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_right_equals_right_child_of_n) ).
cnf(n_left_equals_left_child_of_n,hypothesis,
n_left = left_child_of(n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_equals_left_child_of_n) ).
cnf(n_left_is_atom,hypothesis,
failure_node(n_left,or(empty,atom)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_left_is_atom) ).
cnf(c_0_8,plain,
( ~ siblings(X1,X2)
| ~ contradictory(X5,X6)
| ~ failure_node(X2,or(X4,X6))
| ~ failure_node(X1,or(X3,X5))
| failure_node(parent_of(X1,X2),or(X3,X4)) ),
inference(fof_simplification,[status(thm)],[make_node]) ).
cnf(c_0_9,plain,
( ~ siblings(X1,X2)
| ~ contradictory(X5,X6)
| ~ failure_node(X2,or(X4,X6))
| ~ failure_node(X1,or(X3,X5))
| failure_node(parent_of(X1,X2),or(X3,X4)) ),
c_0_8 ).
cnf(c_0_10,hypothesis,
failure_node(n_right,or(empty,negate(atom))),
n_right_is_not_atom ).
cnf(c_0_11,negated_conjecture,
~ failure_node(X1,or(empty,empty)),
inference(fof_simplification,[status(thm)],[goal_is_there_an_empty_node]) ).
cnf(c_0_12,hypothesis,
( ~ failure_node(X1,or(X2,X3))
| ~ contradictory(X3,negate(atom))
| ~ siblings(X1,n_right)
| failure_node(parent_of(X1,n_right),or(X2,empty)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,axiom,
contradictory(X1,negate(X1)),
x_contradicts_not_x ).
cnf(c_0_14,negated_conjecture,
~ failure_node(X1,or(empty,empty)),
c_0_11 ).
cnf(c_0_15,hypothesis,
( ~ failure_node(X1,or(X2,atom))
| ~ siblings(X1,n_right)
| failure_node(parent_of(X1,n_right),or(X2,empty)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
siblings(left_child_of(X1),right_child_of(X1)),
n_left_and_n_right_are_siblings ).
cnf(c_0_17,hypothesis,
n_right = right_child_of(n),
n_right_equals_right_child_of_n ).
cnf(c_0_18,hypothesis,
n_left = left_child_of(n),
n_left_equals_left_child_of_n ).
cnf(c_0_19,negated_conjecture,
( ~ failure_node(X1,or(empty,atom))
| ~ siblings(X1,n_right) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,hypothesis,
siblings(n_left,n_right),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_21,hypothesis,
failure_node(n_left,or(empty,atom)),
n_left_is_atom ).
cnf(c_0_22,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM004-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.58 % Computer : n020.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Mon Sep 21 14:14:47 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.62 Running first-order theorem proving
% 0.11/0.62 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
% 0.15/0.64 % Version: 3.5.1
% 0.15/0.64 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.64 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.64 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.64 % Starting sh5l with 300s (1) cores
% 0.15/0.64 % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3144908 completed with status 0
% 0.15/0.64 % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/0.64 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.64 % No SInE strategy applied
% 0.15/0.64 % Search class: FHUSS-FFSS21-SFFFFFNN
% 0.15/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/0.64 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.15/0.64 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.64 % Starting new_bool_1 with 136s (1) cores
% 0.15/0.64 % SubtermCWHack with pid 3144912 completed with status 0
% 0.15/0.64 % Result found by SubtermCWHack
% 0.15/0.64 % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.64 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.64 % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.64 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.64 % No SInE strategy applied
% 0.15/0.64 % Search class: FHUSS-FFSS21-SFFFFFNN
% 0.15/0.64 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.64 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.64 % Preprocessing time : 0.001 s
% 0.15/0.64
% 0.15/0.64 % Proof found!
% 0.15/0.64 % SZS status Unsatisfiable
% 0.15/0.64 % SZS output start CNFRefutation
% See solution above
% 0.15/0.64 % Parsed axioms : 9
% 0.15/0.64 % Removed by relevancy pruning/SinE : 0
% 0.15/0.64 % Initial clauses : 9
% 0.15/0.64 % Removed in clause preprocessing : 0
% 0.15/0.64 % Initial clauses in saturation : 9
% 0.15/0.64 % Processed clauses : 17
% 0.15/0.64 % ...of these trivial : 1
% 0.15/0.64 % ...subsumed : 0
% 0.15/0.64 % ...remaining for further processing : 16
% 0.15/0.64 % Other redundant clauses eliminated : 0
% 0.15/0.64 % Clauses deleted for lack of memory : 0
% 0.15/0.64 % Backward-subsumed : 0
% 0.15/0.64 % Backward-rewritten : 0
% 0.15/0.64 % Generated clauses : 12
% 0.15/0.64 % ...of the previous two non-redundant : 11
% 0.15/0.64 % ...aggressively subsumed : 0
% 0.15/0.64 % Contextual simplify-reflections : 0
% 0.15/0.64 % Paramodulations : 12
% 0.15/0.64 % Factorizations : 0
% 0.15/0.64 % NegExts : 0
% 0.15/0.64 % Equation resolutions : 0
% 0.15/0.64 % Disequality decompositions : 0
% 0.15/0.64 % Total rewrite steps : 5
% 0.15/0.64 % ...of those cached : 0
% 0.15/0.64 % Propositional unsat checks : 0
% 0.15/0.64 % Propositional check models : 0
% 0.15/0.64 % Propositional check unsatisfiable : 0
% 0.15/0.64 % Propositional clauses : 0
% 0.15/0.64 % Propositional clauses after purity: 0
% 0.15/0.64 % Propositional unsat core size : 0
% 0.15/0.64 % Propositional preprocessing time : 0.000
% 0.15/0.64 % Propositional encoding time : 0.000
% 0.15/0.64 % Propositional solver time : 0.000
% 0.15/0.64 % Success case prop preproc time : 0.000
% 0.15/0.64 % Success case prop encoding time : 0.000
% 0.15/0.64 % Success case prop solver time : 0.000
% 0.15/0.64 % Current number of processed clauses : 16
% 0.15/0.64 % Positive orientable unit clauses : 8
% 0.15/0.64 % Positive unorientable unit clauses: 0
% 0.15/0.64 % Negative unit clauses : 2
% 0.15/0.64 % Non-unit-clauses : 6
% 0.15/0.64 % Current number of unprocessed clauses: 3
% 0.15/0.64 % ...number of literals in the above : 14
% 0.15/0.64 % Current number of archived formulas : 0
% 0.15/0.64 % Current number of archived clauses : 0
% 0.15/0.64 % Clause-clause subsumption calls (NU) : 11
% 0.15/0.64 % Rec. Clause-clause subsumption calls : 5
% 0.15/0.64 % Non-unit clause-clause subsumptions : 0
% 0.15/0.64 % Unit Clause-clause subsumption calls : 3
% 0.15/0.64 % Rewrite failures with RHS unbound : 0
% 0.15/0.64 % BW rewrite match attempts : 0
% 0.15/0.64 % BW rewrite match successes : 0
% 0.15/0.64 % Condensation attempts : 0
% 0.15/0.64 % Condensation successes : 0
% 0.15/0.64 % Termbank termtop insertions : 444
% 0.15/0.64 % Search garbage collected termcells : 14
% 0.15/0.64
% 0.15/0.64 % -------------------------------------------------
% 0.15/0.64 % User time : 0.003 s
% 0.15/0.64 % System time : 0.001 s
% 0.15/0.64 % Total time : 0.004 s
% 0.15/0.64 % Maximum resident set size: 3584 pages
% 0.15/0.64
% 0.15/0.64 % -------------------------------------------------
% 0.15/0.64 % User time : 0.007 s
% 0.15/0.64 % System time : 0.011 s
% 0.15/0.64 % Total time : 0.018 s
% 0.15/0.64 % Maximum resident set size: 4608 pages
% 0.15/0.64 % E exiting
%------------------------------------------------------------------------------