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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 02:01:32 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.42s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   57 (  16 unt;  10 nHn;  57 RR)
%            Number of literals    :  134 (   0 equ;  76 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   14 (  13 usr;  14 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c6,axiom,
    ( ~ some_irish_fight_not
    | ~ some_scotch_dance_not
    | some_germans_play ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).

cnf(c10,axiom,
    ( ~ some_monitors_are_not_awake
    | ~ some_english_sing
    | some_irish_fight_not ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c10) ).

cnf(c19,axiom,
    some_scotch_dance_not,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c19) ).

cnf(c18,axiom,
    some_english_sing,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c18) ).

cnf(prove_all_monitors_are_awake,negated_conjecture,
    some_monitors_are_not_awake,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_all_monitors_are_awake) ).

cnf(c4,axiom,
    ( ~ some_monitors_are_not_awake
    | ~ some_monitors_are_awake
    | some_irish_fight ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c4) ).

cnf(c1,axiom,
    ( ~ some_english_sing_not
    | ~ some_english_sing
    | some_monitors_are_awake ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).

cnf(c9,axiom,
    ( ~ some_germans_play
    | ~ some_scotch_dance_not
    | ~ some_english_sing
    | some_english_sing_not ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c9) ).

cnf(c7,axiom,
    ( ~ some_scotch_dance
    | ~ some_welsh_eat
    | ~ some_monitors_are_awake ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c7) ).

cnf(c2,axiom,
    ( ~ some_irish_fight
    | ~ some_scotch_dance
    | some_welsh_eat ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c2) ).

cnf(c5,axiom,
    ( ~ some_germans_play
    | some_welsh_eat_not
    | some_scotch_dance ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c5) ).

cnf(c3,axiom,
    ( ~ some_germans_play
    | some_of_the_eleven_are_not_oiling
    | some_germans_play_not ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).

cnf(c11,axiom,
    ( ~ some_of_the_eleven_are_not_oiling
    | ~ some_monitors_are_awake
    | some_scotch_dance ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c11) ).

cnf(c17,axiom,
    ( some_germans_play_not
    | some_germans_play ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c17) ).

cnf(c8,axiom,
    ( ~ some_irish_fight
    | ~ some_welsh_eat_not
    | ~ some_germans_play_not ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c8) ).

cnf(c_0_15,plain,
    ( ~ some_irish_fight_not
    | ~ some_scotch_dance_not
    | some_germans_play ),
    inference(fof_simplification,[status(thm)],[c6]) ).

cnf(c_0_16,plain,
    ( ~ some_monitors_are_not_awake
    | ~ some_english_sing
    | some_irish_fight_not ),
    inference(fof_simplification,[status(thm)],[c10]) ).

cnf(c_0_17,plain,
    ( ~ some_irish_fight_not
    | ~ some_scotch_dance_not
    | some_germans_play ),
    c_0_15 ).

cnf(c_0_18,axiom,
    some_scotch_dance_not,
    c19 ).

cnf(c_0_19,plain,
    ( ~ some_monitors_are_not_awake
    | ~ some_english_sing
    | some_irish_fight_not ),
    c_0_16 ).

cnf(c_0_20,axiom,
    some_english_sing,
    c18 ).

cnf(c_0_21,negated_conjecture,
    some_monitors_are_not_awake,
    prove_all_monitors_are_awake ).

cnf(c_0_22,plain,
    ( ~ some_monitors_are_not_awake
    | ~ some_monitors_are_awake
    | some_irish_fight ),
    inference(fof_simplification,[status(thm)],[c4]) ).

cnf(c_0_23,plain,
    ( ~ some_english_sing_not
    | ~ some_english_sing
    | some_monitors_are_awake ),
    inference(fof_simplification,[status(thm)],[c1]) ).

cnf(c_0_24,plain,
    ( ~ some_germans_play
    | ~ some_scotch_dance_not
    | ~ some_english_sing
    | some_english_sing_not ),
    inference(fof_simplification,[status(thm)],[c9]) ).

cnf(c_0_25,plain,
    ( ~ some_irish_fight_not
    | some_germans_play ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).

cnf(c_0_26,plain,
    some_irish_fight_not,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_27,plain,
    ( ~ some_scotch_dance
    | ~ some_welsh_eat
    | ~ some_monitors_are_awake ),
    inference(fof_simplification,[status(thm)],[c7]) ).

cnf(c_0_28,plain,
    ( ~ some_irish_fight
    | ~ some_scotch_dance
    | some_welsh_eat ),
    inference(fof_simplification,[status(thm)],[c2]) ).

cnf(c_0_29,plain,
    ( ~ some_monitors_are_not_awake
    | ~ some_monitors_are_awake
    | some_irish_fight ),
    c_0_22 ).

cnf(c_0_30,plain,
    ( ~ some_english_sing_not
    | ~ some_english_sing
    | some_monitors_are_awake ),
    c_0_23 ).

cnf(c_0_31,plain,
    ( ~ some_germans_play
    | ~ some_scotch_dance_not
    | ~ some_english_sing
    | some_english_sing_not ),
    c_0_24 ).

cnf(c_0_32,plain,
    some_germans_play,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

cnf(c_0_33,plain,
    ( ~ some_scotch_dance
    | ~ some_welsh_eat
    | ~ some_monitors_are_awake ),
    c_0_27 ).

cnf(c_0_34,plain,
    ( ~ some_irish_fight
    | ~ some_scotch_dance
    | some_welsh_eat ),
    c_0_28 ).

cnf(c_0_35,plain,
    ( ~ some_monitors_are_awake
    | some_irish_fight ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_21])]) ).

cnf(c_0_36,plain,
    ( ~ some_english_sing_not
    | some_monitors_are_awake ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_20])]) ).

cnf(c_0_37,plain,
    some_english_sing_not,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_20]),c_0_32]),c_0_18])]) ).

cnf(c_0_38,plain,
    ( ~ some_germans_play
    | some_welsh_eat_not
    | some_scotch_dance ),
    inference(fof_simplification,[status(thm)],[c5]) ).

cnf(c_0_39,plain,
    ( ~ some_germans_play
    | some_of_the_eleven_are_not_oiling
    | some_germans_play_not ),
    inference(fof_simplification,[status(thm)],[c3]) ).

cnf(c_0_40,plain,
    ( ~ some_of_the_eleven_are_not_oiling
    | ~ some_monitors_are_awake
    | some_scotch_dance ),
    inference(fof_simplification,[status(thm)],[c11]) ).

cnf(c_0_41,plain,
    ( ~ some_monitors_are_awake
    | ~ some_scotch_dance ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_42,plain,
    some_monitors_are_awake,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).

cnf(c_0_43,plain,
    ( ~ some_germans_play
    | some_welsh_eat_not
    | some_scotch_dance ),
    c_0_38 ).

cnf(c_0_44,plain,
    ( ~ some_germans_play
    | some_of_the_eleven_are_not_oiling
    | some_germans_play_not ),
    c_0_39 ).

cnf(c_0_45,axiom,
    ( some_germans_play_not
    | some_germans_play ),
    c17 ).

cnf(c_0_46,plain,
    ( ~ some_of_the_eleven_are_not_oiling
    | ~ some_monitors_are_awake
    | some_scotch_dance ),
    c_0_40 ).

cnf(c_0_47,plain,
    ~ some_scotch_dance,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_42])]) ).

cnf(c_0_48,plain,
    ( ~ some_irish_fight
    | ~ some_welsh_eat_not
    | ~ some_germans_play_not ),
    inference(fof_simplification,[status(thm)],[c8]) ).

cnf(c_0_49,plain,
    ( some_scotch_dance
    | some_welsh_eat_not ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_32])]) ).

cnf(c_0_50,plain,
    ( some_germans_play_not
    | some_of_the_eleven_are_not_oiling ),
    inference(csr,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_51,plain,
    ~ some_of_the_eleven_are_not_oiling,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_42])]),c_0_47]) ).

cnf(c_0_52,plain,
    ( ~ some_irish_fight
    | ~ some_welsh_eat_not
    | ~ some_germans_play_not ),
    c_0_48 ).

cnf(c_0_53,plain,
    some_irish_fight,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_42])]) ).

cnf(c_0_54,plain,
    some_welsh_eat_not,
    inference(sr,[status(thm)],[c_0_49,c_0_47]) ).

cnf(c_0_55,plain,
    some_germans_play_not,
    inference(sr,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_56,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]),c_0_54]),c_0_55])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n016.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 03:50:25 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 0.10/0.42  % Version: 3.5.1
% 0.10/0.42  % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.10/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.42  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.10/0.42  % Starting new_bool_3 with 300s (1) cores
% 0.10/0.42  % Starting new_bool_1 with 300s (1) cores
% 0.10/0.42  % Starting sh5l with 300s (1) cores
% 0.10/0.42  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 1483368 completed with status 0
% 0.10/0.42  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.10/0.42  % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.10/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.42  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.10/0.42  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.42  % No SInE strategy applied
% 0.10/0.42  % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.10/0.42  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.42  % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.42  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 151s (1) cores
% 0.10/0.42  % Starting G----_404_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.10/0.42  % Starting new_bool_3 with 136s (1) cores
% 0.10/0.42  % Starting new_bool_1 with 136s (1) cores
% 0.10/0.42  % SubtermCWHack with pid 1483372 completed with status 0
% 0.10/0.42  % Result found by SubtermCWHack
% 0.10/0.42  % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.10/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.42  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.10/0.42  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.42  % No SInE strategy applied
% 0.10/0.42  % Search class: FGHNF-FFSM00-SFFFFFNN
% 0.10/0.42  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.42  % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.42  % Preprocessing time       : 0.001 s
% 0.10/0.42  
% 0.10/0.42  % Proof found!
% 0.10/0.42  % SZS status Unsatisfiable
% 0.10/0.42  % SZS output start CNFRefutation
% See solution above
% 0.10/0.42  % Parsed axioms                        : 20
% 0.10/0.42  % Removed by relevancy pruning/SinE    : 0
% 0.10/0.42  % Initial clauses                      : 20
% 0.10/0.42  % Removed in clause preprocessing      : 0
% 0.10/0.42  % Initial clauses in saturation        : 20
% 0.10/0.42  % Processed clauses                    : 33
% 0.10/0.42  % ...of these trivial                  : 4
% 0.10/0.42  % ...subsumed                          : 0
% 0.10/0.42  % ...remaining for further processing  : 28
% 0.10/0.42  % Other redundant clauses eliminated   : 0
% 0.10/0.42  % Clauses deleted for lack of memory   : 0
% 0.10/0.42  % Backward-subsumed                    : 4
% 0.10/0.42  % Backward-rewritten                   : 10
% 0.10/0.42  % Generated clauses                    : 6
% 0.10/0.42  % ...of the previous two non-redundant : 14
% 0.10/0.42  % ...aggressively subsumed             : 0
% 0.10/0.42  % Contextual simplify-reflections      : 2
% 0.10/0.42  % Paramodulations                      : 4
% 0.10/0.42  % Factorizations                       : 0
% 0.10/0.42  % NegExts                              : 0
% 0.10/0.42  % Equation resolutions                 : 0
% 0.10/0.42  % Disequality decompositions           : 0
% 0.10/0.42  % Total rewrite steps                  : 24
% 0.10/0.42  % ...of those cached                   : 14
% 0.10/0.42  % Propositional unsat checks           : 0
% 0.10/0.42  %    Propositional check models        : 0
% 0.10/0.42  %    Propositional check unsatisfiable : 0
% 0.10/0.42  %    Propositional clauses             : 0
% 0.10/0.42  %    Propositional clauses after purity: 0
% 0.10/0.42  %    Propositional unsat core size     : 0
% 0.10/0.42  %    Propositional preprocessing time  : 0.000
% 0.10/0.42  %    Propositional encoding time       : 0.000
% 0.10/0.42  %    Propositional solver time         : 0.000
% 0.10/0.42  %    Success case prop preproc time    : 0.000
% 0.10/0.42  %    Success case prop encoding time   : 0.000
% 0.10/0.42  %    Success case prop solver time     : 0.000
% 0.10/0.42  % Current number of processed clauses  : 12
% 0.10/0.42  %    Positive orientable unit clauses  : 10
% 0.10/0.42  %    Positive unorientable unit clauses: 0
% 0.10/0.42  %    Negative unit clauses             : 2
% 0.10/0.42  %    Non-unit-clauses                  : 0
% 0.10/0.42  % Current number of unprocessed clauses: 0
% 0.10/0.42  % ...number of literals in the above   : 0
% 0.10/0.42  % Current number of archived formulas  : 0
% 0.10/0.42  % Current number of archived clauses   : 16
% 0.10/0.42  % Clause-clause subsumption calls (NU) : 21
% 0.10/0.42  % Rec. Clause-clause subsumption calls : 16
% 0.10/0.42  % Non-unit clause-clause subsumptions  : 3
% 0.10/0.42  % Unit Clause-clause subsumption calls : 11
% 0.10/0.42  % Rewrite failures with RHS unbound    : 0
% 0.10/0.42  % BW rewrite match attempts            : 6
% 0.10/0.42  % BW rewrite match successes           : 6
% 0.10/0.42  % Condensation attempts                : 0
% 0.10/0.42  % Condensation successes               : 0
% 0.10/0.42  % Termbank termtop insertions          : 467
% 0.10/0.42  % Search garbage collected termcells   : 34
% 0.10/0.42  
% 0.10/0.42  % -------------------------------------------------
% 0.10/0.42  % User time                : 0.003 s
% 0.10/0.42  % System time              : 0.003 s
% 0.10/0.42  % Total time               : 0.006 s
% 0.10/0.42  % Maximum resident set size: 3632 pages
% 0.10/0.42  
% 0.10/0.42  % -------------------------------------------------
% 0.10/0.42  % User time                : 0.013 s
% 0.10/0.42  % System time              : 0.007 s
% 0.10/0.42  % Total time               : 0.020 s
% 0.10/0.42  % Maximum resident set size: 4608 pages
% 0.10/0.42  % E exiting
%------------------------------------------------------------------------------