%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 02:01:35 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 15 unt; 0 nHn; 22 RR)
% Number of literals : 42 ( 0 equ; 24 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(symmetry_of_borders,axiom,
( ~ borders(X1,X2)
| borders(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_borders) ).
cnf(prove_borders,negated_conjecture,
( ~ ocean(X3)
| ~ borders(X2,X3)
| ~ borders(X1,X3)
| ~ borders(X1,X2)
| ~ state(X2)
| ~ state(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_borders) ).
cnf(southern_vic,negated_conjecture,
borders(southern,victoria),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',southern_vic) ).
cnf(victoria,negated_conjecture,
state(victoria),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',victoria) ).
cnf(southern,negated_conjecture,
ocean(southern),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',southern) ).
cnf(southern_sa,negated_conjecture,
borders(southern,south_australia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',southern_sa) ).
cnf(south_australia,negated_conjecture,
state(south_australia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',south_australia) ).
cnf(sa_vic,negated_conjecture,
borders(south_australia,victoria),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sa_vic) ).
cnf(c_0_8,plain,
( ~ borders(X1,X2)
| borders(X2,X1) ),
inference(fof_simplification,[status(thm)],[symmetry_of_borders]) ).
cnf(c_0_9,negated_conjecture,
( ~ ocean(X3)
| ~ borders(X2,X3)
| ~ borders(X1,X3)
| ~ borders(X1,X2)
| ~ state(X2)
| ~ state(X1) ),
inference(fof_simplification,[status(thm)],[prove_borders]) ).
cnf(c_0_10,plain,
( ~ borders(X1,X2)
| borders(X2,X1) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
borders(southern,victoria),
southern_vic ).
cnf(c_0_12,negated_conjecture,
( ~ ocean(X3)
| ~ borders(X2,X3)
| ~ borders(X1,X3)
| ~ borders(X1,X2)
| ~ state(X2)
| ~ state(X1) ),
c_0_9 ).
cnf(c_0_13,negated_conjecture,
borders(victoria,southern),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
state(victoria),
victoria ).
cnf(c_0_15,negated_conjecture,
ocean(southern),
southern ).
cnf(c_0_16,negated_conjecture,
borders(southern,south_australia),
southern_sa ).
cnf(c_0_17,negated_conjecture,
( ~ borders(X1,victoria)
| ~ borders(X1,southern)
| ~ state(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
state(south_australia),
south_australia ).
cnf(c_0_19,negated_conjecture,
borders(south_australia,southern),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
borders(south_australia,victoria),
sa_vic ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ022-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 03:45:20 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.15/0.44 % Version: 3.5.1
% 0.15/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 % Starting sh5l with 300s (1) cores
% 0.15/0.44 % new_bool_3 with pid 1616120 completed with status 0
% 0.15/0.44 % Result found by new_bool_3
% 0.15/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44 % Search class: FHHNF-FFSM00-SFFFFFNN
% 0.15/0.44 % partial match(1): FHHNF-FFMM00-SFFFFFNN
% 0.15/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.44 % SubtermCWHack with pid 1616126 completed with status 0
% 0.15/0.44 % Result found by SubtermCWHack
% 0.15/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44 % Search class: FHHNF-FFSM00-SFFFFFNN
% 0.15/0.44 % partial match(1): FHHNF-FFMM00-SFFFFFNN
% 0.15/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.44 % Preprocessing time : 0.001 s
% 0.15/0.44
% 0.15/0.44 % Proof found!
% 0.15/0.44 % SZS status Unsatisfiable
% 0.15/0.44 % SZS output start CNFRefutation
% See solution above
% 0.15/0.44 % Parsed axioms : 33
% 0.15/0.44 % Removed by relevancy pruning/SinE : 0
% 0.15/0.44 % Initial clauses : 33
% 0.15/0.44 % Removed in clause preprocessing : 0
% 0.15/0.44 % Initial clauses in saturation : 33
% 0.15/0.44 % Processed clauses : 63
% 0.15/0.44 % ...of these trivial : 0
% 0.15/0.44 % ...subsumed : 0
% 0.15/0.44 % ...remaining for further processing : 63
% 0.15/0.44 % Other redundant clauses eliminated : 0
% 0.15/0.44 % Clauses deleted for lack of memory : 0
% 0.15/0.44 % Backward-subsumed : 0
% 0.15/0.44 % Backward-rewritten : 0
% 0.15/0.44 % Generated clauses : 94
% 0.15/0.44 % ...of the previous two non-redundant : 70
% 0.15/0.44 % ...aggressively subsumed : 0
% 0.15/0.44 % Contextual simplify-reflections : 0
% 0.15/0.44 % Paramodulations : 94
% 0.15/0.44 % Factorizations : 0
% 0.15/0.44 % NegExts : 0
% 0.15/0.44 % Equation resolutions : 0
% 0.15/0.44 % Disequality decompositions : 0
% 0.15/0.44 % Total rewrite steps : 69
% 0.15/0.44 % ...of those cached : 35
% 0.15/0.44 % Propositional unsat checks : 0
% 0.15/0.44 % Propositional check models : 0
% 0.15/0.44 % Propositional check unsatisfiable : 0
% 0.15/0.44 % Propositional clauses : 0
% 0.15/0.44 % Propositional clauses after purity: 0
% 0.15/0.44 % Propositional unsat core size : 0
% 0.15/0.44 % Propositional preprocessing time : 0.000
% 0.15/0.44 % Propositional encoding time : 0.000
% 0.15/0.44 % Propositional solver time : 0.000
% 0.15/0.44 % Success case prop preproc time : 0.000
% 0.15/0.44 % Success case prop encoding time : 0.000
% 0.15/0.44 % Success case prop solver time : 0.000
% 0.15/0.44 % Current number of processed clauses : 63
% 0.15/0.44 % Positive orientable unit clauses : 51
% 0.15/0.44 % Positive unorientable unit clauses: 0
% 0.15/0.44 % Negative unit clauses : 4
% 0.15/0.44 % Non-unit-clauses : 8
% 0.15/0.44 % Current number of unprocessed clauses: 37
% 0.15/0.44 % ...number of literals in the above : 150
% 0.15/0.44 % Current number of archived formulas : 0
% 0.15/0.44 % Current number of archived clauses : 0
% 0.15/0.44 % Clause-clause subsumption calls (NU) : 43
% 0.15/0.44 % Rec. Clause-clause subsumption calls : 24
% 0.15/0.44 % Non-unit clause-clause subsumptions : 0
% 0.15/0.44 % Unit Clause-clause subsumption calls : 20
% 0.15/0.44 % Rewrite failures with RHS unbound : 0
% 0.15/0.44 % BW rewrite match attempts : 0
% 0.15/0.44 % BW rewrite match successes : 0
% 0.15/0.44 % Condensation attempts : 0
% 0.15/0.44 % Condensation successes : 0
% 0.15/0.44 % Termbank termtop insertions : 1430
% 0.15/0.44 % Search garbage collected termcells : 18
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.003 s
% 0.15/0.44 % System time : 0.001 s
% 0.15/0.44 % Total time : 0.005 s
% 0.15/0.44 % Maximum resident set size: 3644 pages
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.007 s
% 0.15/0.44 % System time : 0.003 s
% 0.15/0.44 % Total time : 0.010 s
% 0.15/0.44 % Maximum resident set size: 4864 pages
% 0.15/0.44 % E exiting
%------------------------------------------------------------------------------