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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : PUZ018-1 : TPTP v9.0.0. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Jul 25 01:24:26 PM UTC 2025

% Result   : Unsatisfiable 10.29s 1.72s
% Output   : CNFRefutation 10.29s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named prove_all_on_friday)

% Comments : 
%------------------------------------------------------------------------------
cnf(47,plain,
    ~ all_on(friday),
    inference(cnf,[status(esa)],[prove_all_on_friday]) ).

cnf(l0,plain,
    ~ all_on(friday),
    inference(instantiation,[status(thm)],[47]) ).

cnf(38,plain,
    ( all_on(tuesday)
    | all_on(thursday)
    | all_on(sunday)
    | all_on(monday)
    | all_on(wednesday)
    | all_on(friday)
    | all_on(saturday) ),
    inference(cnf,[status(esa)],[all_on_one_day]) ).

cnf(l1,plain,
    ( all_on(tuesday)
    | all_on(thursday)
    | all_on(sunday)
    | all_on(monday)
    | all_on(wednesday)
    | all_on(friday)
    | all_on(saturday) ),
    inference(instantiation,[status(thm)],[38]) ).

cnf(0,plain,
    ( ~ all_on(X0)
    | on(a,X0) ),
    inference(cnf,[status(esa)],[all_on_a_on]) ).

cnf(l3,plain,
    ( ~ all_on(thursday)
    | on(a,thursday) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(43,plain,
    ~ on(a,thursday),
    inference(cnf,[status(esa)],[a_off_thursday]) ).

cnf(l15,plain,
    ~ on(a,thursday),
    inference(instantiation,[status(thm)],[43]) ).

cnf(2,plain,
    ( ~ all_on(X0)
    | on(c,X0) ),
    inference(cnf,[status(esa)],[all_on_c_on]) ).

cnf(l447,plain,
    ( ~ all_on(wednesday)
    | on(c,wednesday) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l4,plain,
    ( ~ all_on(sunday)
    | on(a,sunday) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l2,plain,
    ( ~ all_on(tuesday)
    | on(a,tuesday) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(1,plain,
    ( ~ all_on(X0)
    | on(b,X0) ),
    inference(cnf,[status(esa)],[all_on_b_on]) ).

cnf(l444,plain,
    ( ~ all_on(saturday)
    | on(b,saturday) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(42,plain,
    ~ on(a,tuesday),
    inference(cnf,[status(esa)],[a_off_tuesday]) ).

cnf(l443,plain,
    ~ on(a,tuesday),
    inference(instantiation,[status(thm)],[42]) ).

cnf(45,plain,
    ~ on(b,saturday),
    inference(cnf,[status(esa)],[b_off_saturday]) ).

cnf(l459,plain,
    ~ on(b,saturday),
    inference(instantiation,[status(thm)],[45]) ).

cnf(l441,plain,
    ( ~ all_on(monday)
    | on(b,monday) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(39,plain,
    ( ~ on(X0,X1)
    | ~ on(X0,X2)
    | ~ on(X0,X3)
    | ~ consecutive(X1,X2)
    | ~ consecutive(X2,X3)
    | ~ consecutive(X3,X4) ),
    inference(cnf,[status(esa)],[not_on_for_3_days]) ).

cnf(l442,plain,
    ( ~ on(b,sunday)
    | ~ on(b,monday)
    | ~ on(b,tuesday)
    | ~ consecutive(sunday,monday)
    | ~ consecutive(monday,tuesday)
    | ~ consecutive(tuesday,wednesday) ),
    inference(instantiation,[status(thm)],[39]) ).

cnf(41,plain,
    ~ on(a,sunday),
    inference(cnf,[status(esa)],[a_off_sunday]) ).

cnf(l336,plain,
    ~ on(a,sunday),
    inference(instantiation,[status(thm)],[41]) ).

cnf(7,plain,
    consecutive(tuesday,wednesday),
    inference(cnf,[status(esa)],[wednesday_follows_tuesday]) ).

cnf(l448,plain,
    consecutive(tuesday,wednesday),
    inference(instantiation,[status(thm)],[7]) ).

cnf(l456,plain,
    ( ~ on(c,tuesday)
    | ~ on(c,wednesday)
    | ~ on(c,thursday)
    | ~ consecutive(tuesday,wednesday)
    | ~ consecutive(wednesday,thursday)
    | ~ consecutive(thursday,friday) ),
    inference(instantiation,[status(thm)],[39]) ).

cnf(9,plain,
    consecutive(thursday,friday),
    inference(cnf,[status(esa)],[friday_follows_thursday]) ).

cnf(l471,plain,
    consecutive(thursday,friday),
    inference(instantiation,[status(thm)],[9]) ).

cnf(5,plain,
    consecutive(sunday,monday),
    inference(cnf,[status(esa)],[monday_follows_sunday]) ).

cnf(l445,plain,
    consecutive(sunday,monday),
    inference(instantiation,[status(thm)],[5]) ).

cnf(l467,plain,
    consecutive(tuesday,wednesday),
    inference(instantiation,[status(thm)],[7]) ).

cnf(40,plain,
    ( on(X0,X1)
    | on(X0,X2)
    | on(X3,X1)
    | on(X3,X2)
    | same_day(X1,X2)
    | same_person(X0,X3) ),
    inference(cnf,[status(esa)],[no_two_off_twice_together]) ).

cnf(l453,plain,
    ( on(a,sunday)
    | on(a,thursday)
    | on(b,sunday)
    | on(b,thursday)
    | same_day(sunday,thursday)
    | same_person(a,b) ),
    inference(instantiation,[status(thm)],[40]) ).

cnf(8,plain,
    consecutive(wednesday,thursday),
    inference(cnf,[status(esa)],[thursday_follows_wednesday]) ).

cnf(l468,plain,
    consecutive(wednesday,thursday),
    inference(instantiation,[status(thm)],[8]) ).

cnf(44,plain,
    ~ on(b,thursday),
    inference(cnf,[status(esa)],[b_off_thursday]) ).

cnf(l461,plain,
    ~ on(b,thursday),
    inference(instantiation,[status(thm)],[44]) ).

cnf(l508,plain,
    ~ on(a,thursday),
    inference(instantiation,[status(thm)],[43]) ).

cnf(6,plain,
    consecutive(monday,tuesday),
    inference(cnf,[status(esa)],[tuesday_follows_monday]) ).

cnf(l446,plain,
    consecutive(monday,tuesday),
    inference(instantiation,[status(thm)],[6]) ).

cnf(l513,plain,
    ~ on(a,sunday),
    inference(instantiation,[status(thm)],[41]) ).

cnf(l511,plain,
    ( on(a,sunday)
    | on(a,tuesday)
    | on(c,sunday)
    | on(c,tuesday)
    | same_day(sunday,tuesday)
    | same_person(a,c) ),
    inference(instantiation,[status(thm)],[40]) ).

cnf(l455,plain,
    ( on(a,tuesday)
    | on(a,thursday)
    | on(b,tuesday)
    | on(b,thursday)
    | same_day(tuesday,thursday)
    | same_person(a,b) ),
    inference(instantiation,[status(thm)],[40]) ).

cnf(20,plain,
    ~ same_day(sunday,thursday),
    inference(cnf,[status(esa)],[sunday_not_thursday]) ).

cnf(l465,plain,
    ~ same_day(sunday,thursday),
    inference(instantiation,[status(thm)],[20]) ).

cnf(18,plain,
    ~ same_day(sunday,tuesday),
    inference(cnf,[status(esa)],[sunday_not_tuesday]) ).

cnf(l525,plain,
    ~ same_day(sunday,tuesday),
    inference(instantiation,[status(thm)],[18]) ).

cnf(14,plain,
    ~ same_person(a,c),
    inference(cnf,[status(esa)],[a_not_c]) ).

cnf(l518,plain,
    ~ same_person(a,c),
    inference(instantiation,[status(thm)],[14]) ).

cnf(13,plain,
    ~ same_person(a,b),
    inference(cnf,[status(esa)],[a_not_b]) ).

cnf(l457,plain,
    ~ same_person(a,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l595,plain,
    ~ on(a,tuesday),
    inference(instantiation,[status(thm)],[42]) ).

cnf(l472,plain,
    ~ on(a,tuesday),
    inference(instantiation,[status(thm)],[42]) ).

cnf(l474,plain,
    ( on(a,sunday)
    | on(a,thursday)
    | on(c,sunday)
    | on(c,thursday)
    | same_day(sunday,thursday)
    | same_person(a,c) ),
    inference(instantiation,[status(thm)],[40]) ).

cnf(l489,plain,
    ~ same_person(a,b),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l477,plain,
    ~ on(a,sunday),
    inference(instantiation,[status(thm)],[41]) ).

cnf(29,plain,
    ~ same_day(tuesday,thursday),
    inference(cnf,[status(esa)],[tuesday_not_thursday]) ).

cnf(l481,plain,
    ~ same_day(tuesday,thursday),
    inference(instantiation,[status(thm)],[29]) ).

cnf(l483,plain,
    ~ on(a,thursday),
    inference(instantiation,[status(thm)],[43]) ).

cnf(l487,plain,
    ~ on(b,thursday),
    inference(instantiation,[status(thm)],[44]) ).

cnf(l597,plain,
    ~ on(a,sunday),
    inference(instantiation,[status(thm)],[41]) ).

cnf(46,plain,
    ~ on(c,sunday),
    inference(cnf,[status(esa)],[c_off_sunday]) ).

cnf(l622,plain,
    ~ on(c,sunday),
    inference(instantiation,[status(thm)],[46]) ).

cnf(l494,plain,
    ~ on(c,sunday),
    inference(instantiation,[status(thm)],[46]) ).

cnf(l478,plain,
    ~ same_person(a,c),
    inference(instantiation,[status(thm)],[14]) ).

cnf(l475,plain,
    ~ same_day(sunday,thursday),
    inference(instantiation,[status(thm)],[20]) ).

cnf(l476,plain,
    ~ on(a,thursday),
    inference(instantiation,[status(thm)],[43]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l15,l447,l4,l2,l444,l443,l459,l441,l442,l336,l448,l456,l471,l445,l467,l453,l468,l461,l508,l446,l513,l511,l455,l465,l525,l518,l457,l595,l472,l474,l489,l477,l481,l483,l487,l597,l622,l494,l478,l475,l476]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ018-1 : TPTP v9.0.0. Bugfixed v1.2.0.
% 0.07/0.13  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Jul 21 15:49:34 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % launching worker at depth: 2
% 0.13/0.35  % launching worker at depth: 1
% 0.13/0.35  % launching worker at depth: 3
% 0.13/0.35  % launching worker at depth: 4
% 0.13/0.35  % launching worker at depth: 5
% 0.13/0.35  % launching worker at depth: 6
% 0.13/0.35  % launching worker at depth: 7
% 0.13/0.35  % launching worker at depth: 8
% 0.13/0.35  % launching worker at depth: 9
% 0.13/0.37  % launching worker at depth: 10
% 0.19/0.39  % launching worker at depth: 11
% 0.19/0.44  % launching worker at depth: 12
% 10.29/1.72  % SZS status Theorem for theBenchmark
% 10.29/1.72  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------