%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ008-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 02:01:21 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.34s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 49 ( 16 unt; 0 nHn; 49 RR)
% Number of literals : 82 ( 0 equ; 39 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(bmmmccc_x_to_mmmc_bcc,axiom,
( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmmccc_x_to_mmmc_bcc) ).
cnf(mmmc_bcc_to_bmmmcc_c,axiom,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
| banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mmmc_bcc_to_bmmmcc_c) ).
cnf(starting_configuration,hypothesis,
banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',starting_configuration) ).
cnf(bmmmcc_c_to_mmm_bccc,axiom,
( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmmcc_c_to_mmm_bccc) ).
cnf(mmm_bccc_to_bmmmc_cc,axiom,
( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mmm_bccc_to_bmmmc_cc) ).
cnf(bmmmc_cc_to_mc_bmmcc,axiom,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmmc_cc_to_mc_bmmcc) ).
cnf(bcc_mmmc_to_x_bmmmccc,axiom,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
| banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bcc_mmmc_to_x_bmmmccc) ).
cnf(prove_can_get_across,negated_conjecture,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_can_get_across) ).
cnf(mc_bmmcc_to_bmmcc_mc,axiom,
( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mc_bmmcc_to_bmmcc_mc) ).
cnf(c_bmmmcc_to_bcc_mmmc,axiom,
( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_bmmmcc_to_bcc_mmmc) ).
cnf(bmmcc_mc_to_cc_bmmmc,axiom,
( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bmmcc_mc_to_cc_bmmmc) ).
cnf(bccc_mmm_to_c_bmmmcc,axiom,
( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bccc_mmm_to_c_bmmmcc) ).
cnf(cc_bmmmc_to_bccc_mmm,axiom,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc_bmmmc_to_bccc_mmm) ).
cnf(c_0_13,plain,
( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ),
inference(fof_simplification,[status(thm)],[bmmmccc_x_to_mmmc_bcc]) ).
cnf(c_0_14,plain,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
| banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
inference(fof_simplification,[status(thm)],[mmmc_bcc_to_bmmmcc_c]) ).
cnf(c_0_15,plain,
( ~ banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast) ),
c_0_13 ).
cnf(c_0_16,hypothesis,
banks(west(m(n3),c(n3)),east(m(n0),c(n0)),boatonwest),
starting_configuration ).
cnf(c_0_17,plain,
( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
inference(fof_simplification,[status(thm)],[bmmmcc_c_to_mmm_bccc]) ).
cnf(c_0_18,plain,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast)
| banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest) ),
c_0_14 ).
cnf(c_0_19,plain,
banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatoneast),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
cnf(c_0_20,plain,
( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
inference(fof_simplification,[status(thm)],[mmm_bccc_to_bmmmc_cc]) ).
cnf(c_0_21,plain,
( ~ banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest)
| banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast) ),
c_0_17 ).
cnf(c_0_22,plain,
banks(west(m(n3),c(n2)),east(m(n0),c(n1)),boatonwest),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).
cnf(c_0_23,plain,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
inference(fof_simplification,[status(thm)],[bmmmc_cc_to_mc_bmmcc]) ).
cnf(c_0_24,plain,
( ~ banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast)
| banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest) ),
c_0_20 ).
cnf(c_0_25,plain,
banks(west(m(n3),c(n0)),east(m(n0),c(n3)),boatoneast),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]) ).
cnf(c_0_26,plain,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
| banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
inference(fof_simplification,[status(thm)],[bcc_mmmc_to_x_bmmmccc]) ).
cnf(c_0_27,negated_conjecture,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
inference(fof_simplification,[status(thm)],[prove_can_get_across]) ).
cnf(c_0_28,plain,
( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
inference(fof_simplification,[status(thm)],[mc_bmmcc_to_bmmcc_mc]) ).
cnf(c_0_29,plain,
( ~ banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest)
| banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast) ),
c_0_23 ).
cnf(c_0_30,plain,
banks(west(m(n3),c(n1)),east(m(n0),c(n2)),boatonwest),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).
cnf(c_0_31,plain,
( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ),
inference(fof_simplification,[status(thm)],[c_bmmmcc_to_bcc_mmmc]) ).
cnf(c_0_32,plain,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest)
| banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast) ),
c_0_26 ).
cnf(c_0_33,negated_conjecture,
~ banks(west(m(n0),c(n0)),east(m(n3),c(n3)),boatoneast),
c_0_27 ).
cnf(c_0_34,plain,
( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
inference(fof_simplification,[status(thm)],[bmmcc_mc_to_cc_bmmmc]) ).
cnf(c_0_35,plain,
( ~ banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast)
| banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest) ),
c_0_28 ).
cnf(c_0_36,plain,
banks(west(m(n1),c(n1)),east(m(n2),c(n2)),boatoneast),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_37,plain,
( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
inference(fof_simplification,[status(thm)],[bccc_mmm_to_c_bmmmcc]) ).
cnf(c_0_38,plain,
( ~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest) ),
c_0_31 ).
cnf(c_0_39,plain,
~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatonwest),
inference(sr,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
inference(fof_simplification,[status(thm)],[cc_bmmmc_to_bccc_mmm]) ).
cnf(c_0_41,plain,
( ~ banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest)
| banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast) ),
c_0_34 ).
cnf(c_0_42,plain,
banks(west(m(n2),c(n2)),east(m(n1),c(n1)),boatonwest),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_43,plain,
( ~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest)
| banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast) ),
c_0_37 ).
cnf(c_0_44,plain,
~ banks(west(m(n0),c(n1)),east(m(n3),c(n2)),boatoneast),
inference(sr,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( ~ banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast)
| banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest) ),
c_0_40 ).
cnf(c_0_46,plain,
banks(west(m(n0),c(n2)),east(m(n3),c(n1)),boatoneast),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).
cnf(c_0_47,plain,
~ banks(west(m(n0),c(n3)),east(m(n3),c(n0)),boatonwest),
inference(sr,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PUZ008-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Mon Sep 21 03:44:37 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.07/0.34 % Version: 3.5.1
% 0.07/0.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.34 % Starting sh5l with 300s (1) cores
% 0.07/0.34 % new_bool_3 with pid 1489128 completed with status 0
% 0.07/0.34 % Result found by new_bool_3
% 0.07/0.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.34 % Search class: FHUNF-FFMF21-SFFFFFNN
% 0.07/0.34 % partial match(1): FHUNF-FFMM21-SFFFFFNN
% 0.07/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.34 % SubtermCWHack with pid 1489133 completed with status 0
% 0.07/0.34 % Result found by SubtermCWHack
% 0.07/0.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.34 % Search class: FHUNF-FFMF21-SFFFFFNN
% 0.07/0.34 % partial match(1): FHUNF-FFMM21-SFFFFFNN
% 0.07/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.34 % Preprocessing time : 0.001 s
% 0.07/0.34
% 0.07/0.34 % Proof found!
% 0.07/0.34 % SZS status Unsatisfiable
% 0.07/0.34 % SZS output start CNFRefutation
% See solution above
% 0.07/0.34 % Parsed axioms : 32
% 0.07/0.34 % Removed by relevancy pruning/SinE : 0
% 0.07/0.34 % Initial clauses : 32
% 0.07/0.34 % Removed in clause preprocessing : 0
% 0.07/0.34 % Initial clauses in saturation : 32
% 0.07/0.34 % Processed clauses : 36
% 0.07/0.34 % ...of these trivial : 5
% 0.07/0.34 % ...subsumed : 3
% 0.07/0.34 % ...remaining for further processing : 28
% 0.07/0.34 % Other redundant clauses eliminated : 0
% 0.07/0.34 % Clauses deleted for lack of memory : 0
% 0.07/0.34 % Backward-subsumed : 4
% 0.07/0.34 % Backward-rewritten : 9
% 0.07/0.34 % Generated clauses : 4
% 0.07/0.34 % ...of the previous two non-redundant : 5
% 0.07/0.34 % ...aggressively subsumed : 0
% 0.07/0.34 % Contextual simplify-reflections : 0
% 0.07/0.34 % Paramodulations : 4
% 0.07/0.34 % Factorizations : 0
% 0.07/0.34 % NegExts : 0
% 0.07/0.34 % Equation resolutions : 0
% 0.07/0.34 % Disequality decompositions : 0
% 0.07/0.34 % Total rewrite steps : 19
% 0.07/0.34 % ...of those cached : 10
% 0.07/0.34 % Propositional unsat checks : 0
% 0.07/0.34 % Propositional check models : 0
% 0.07/0.34 % Propositional check unsatisfiable : 0
% 0.07/0.34 % Propositional clauses : 0
% 0.07/0.34 % Propositional clauses after purity: 0
% 0.07/0.34 % Propositional unsat core size : 0
% 0.07/0.34 % Propositional preprocessing time : 0.000
% 0.07/0.34 % Propositional encoding time : 0.000
% 0.07/0.34 % Propositional solver time : 0.000
% 0.07/0.34 % Success case prop preproc time : 0.000
% 0.07/0.34 % Success case prop encoding time : 0.000
% 0.07/0.34 % Success case prop solver time : 0.000
% 0.07/0.34 % Current number of processed clauses : 15
% 0.07/0.34 % Positive orientable unit clauses : 9
% 0.07/0.34 % Positive unorientable unit clauses: 0
% 0.07/0.34 % Negative unit clauses : 6
% 0.07/0.34 % Non-unit-clauses : 0
% 0.07/0.34 % Current number of unprocessed clauses: 1
% 0.07/0.34 % ...number of literals in the above : 2
% 0.07/0.34 % Current number of archived formulas : 0
% 0.07/0.34 % Current number of archived clauses : 13
% 0.07/0.34 % Clause-clause subsumption calls (NU) : 16
% 0.07/0.34 % Rec. Clause-clause subsumption calls : 16
% 0.07/0.34 % Non-unit clause-clause subsumptions : 0
% 0.07/0.34 % Unit Clause-clause subsumption calls : 22
% 0.07/0.34 % Rewrite failures with RHS unbound : 0
% 0.07/0.34 % BW rewrite match attempts : 117
% 0.07/0.34 % BW rewrite match successes : 7
% 0.07/0.34 % Condensation attempts : 0
% 0.07/0.34 % Condensation successes : 0
% 0.07/0.34 % Termbank termtop insertions : 1979
% 0.07/0.34 % Search garbage collected termcells : 48
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.001 s
% 0.07/0.34 % System time : 0.003 s
% 0.07/0.34 % Total time : 0.004 s
% 0.07/0.34 % Maximum resident set size: 3644 pages
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.002 s
% 0.07/0.34 % System time : 0.006 s
% 0.07/0.34 % Total time : 0.007 s
% 0.07/0.34 % Maximum resident set size: 4608 pages
% 0.07/0.34 % E exiting
%------------------------------------------------------------------------------