TSTP Solution File: PUZ018-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 May  3 02:54:35 EDT 2024

% Result   : Unsatisfiable 0.43s 1.13s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   46 (  18 unt;  10 nHn;  43 RR)
%            Number of literals    :  139 (   0 equ;  75 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :   28 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ all_on(X0)
    | on(a,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_a_on) ).

cnf(c_50,plain,
    ( ~ all_on(X0)
    | on(b,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_b_on) ).

cnf(c_51,plain,
    ( ~ all_on(X0)
    | on(c,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_c_on) ).

cnf(c_54,plain,
    consecutive(sunday,monday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).

cnf(c_55,plain,
    consecutive(monday,tuesday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).

cnf(c_56,plain,
    consecutive(tuesday,wednesday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).

cnf(c_57,plain,
    consecutive(wednesday,thursday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).

cnf(c_58,plain,
    consecutive(thursday,friday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).

cnf(c_62,plain,
    ~ same_person(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).

cnf(c_63,plain,
    ~ same_person(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).

cnf(c_67,plain,
    ~ same_day(sunday,tuesday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_tuesday) ).

cnf(c_69,plain,
    ~ same_day(sunday,thursday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_thursday) ).

cnf(c_78,plain,
    ~ same_day(tuesday,thursday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).

cnf(c_87,plain,
    ( all_on(sunday)
    | all_on(monday)
    | all_on(tuesday)
    | all_on(wednesday)
    | all_on(thursday)
    | all_on(friday)
    | all_on(saturday) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_one_day) ).

cnf(c_88,plain,
    ( ~ on(X0,X1)
    | ~ on(X0,X2)
    | ~ on(X0,X3)
    | ~ consecutive(X1,X2)
    | ~ consecutive(X2,X3)
    | ~ consecutive(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_on_for_3_days) ).

cnf(c_89,plain,
    ( on(X0,X1)
    | on(X0,X2)
    | on(X3,X1)
    | on(X3,X2)
    | same_day(X1,X2)
    | same_person(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_off_twice_together) ).

cnf(c_90,plain,
    ~ on(a,sunday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_sunday) ).

cnf(c_91,plain,
    ~ on(a,tuesday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_tuesday) ).

cnf(c_92,plain,
    ~ on(a,thursday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_thursday) ).

cnf(c_93,plain,
    ~ on(b,thursday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_thursday) ).

cnf(c_94,plain,
    ~ on(b,saturday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_saturday) ).

cnf(c_95,plain,
    ~ on(c,sunday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_off_sunday) ).

cnf(c_96,negated_conjecture,
    ~ all_on(friday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_on_friday) ).

cnf(c_99,plain,
    ( ~ all_on(sunday)
    | on(c,sunday) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_103,plain,
    ( all_on(thursday)
    | all_on(wednesday)
    | all_on(tuesday)
    | all_on(monday)
    | all_on(saturday) ),
    inference(global_subsumption_just,[status(thm)],[c_87,c_96,c_95,c_99,c_87]) ).

cnf(c_104,plain,
    ( all_on(monday)
    | all_on(tuesday)
    | all_on(wednesday)
    | all_on(thursday)
    | all_on(saturday) ),
    inference(renaming,[status(thm)],[c_103]) ).

cnf(c_245,plain,
    ( same_day(X0,X1)
    | on(a,X0)
    | on(a,X1)
    | on(b,X0)
    | on(b,X1) ),
    inference(resolution,[status(thm)],[c_62,c_89]) ).

cnf(c_261,plain,
    ( same_day(X0,X1)
    | on(a,X0)
    | on(a,X1)
    | on(c,X0)
    | on(c,X1) ),
    inference(resolution,[status(thm)],[c_63,c_89]) ).

cnf(c_359,plain,
    ( on(a,sunday)
    | on(a,tuesday)
    | on(c,sunday)
    | on(c,tuesday) ),
    inference(resolution,[status(thm)],[c_261,c_67]) ).

cnf(c_418,plain,
    ( on(a,sunday)
    | on(a,thursday)
    | on(c,sunday)
    | on(c,thursday) ),
    inference(resolution,[status(thm)],[c_261,c_69]) ).

cnf(c_424,plain,
    ( on(a,sunday)
    | on(a,thursday)
    | on(b,sunday)
    | on(b,thursday) ),
    inference(resolution,[status(thm)],[c_245,c_69]) ).

cnf(c_598,plain,
    ( on(a,tuesday)
    | on(a,thursday)
    | on(b,tuesday)
    | on(b,thursday) ),
    inference(resolution,[status(thm)],[c_245,c_78]) ).

cnf(c_793,plain,
    ( ~ all_on(thursday)
    | on(b,thursday) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_794,plain,
    ( ~ all_on(saturday)
    | on(b,saturday) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_798,plain,
    ( ~ on(X0,X1)
    | ~ on(X0,X2)
    | ~ consecutive(X1,X2)
    | ~ on(X0,tuesday)
    | ~ consecutive(X2,tuesday)
    | ~ consecutive(tuesday,wednesday) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_800,plain,
    ( ~ on(X0,X1)
    | ~ on(X0,X2)
    | ~ consecutive(X1,X2)
    | ~ on(X0,thursday)
    | ~ consecutive(X2,thursday)
    | ~ consecutive(thursday,friday) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_804,plain,
    ( ~ all_on(tuesday)
    | on(a,tuesday) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_806,plain,
    ( ~ on(X0,X1)
    | ~ on(X0,wednesday)
    | ~ on(X0,thursday)
    | ~ consecutive(X1,wednesday)
    | ~ consecutive(wednesday,thursday)
    | ~ consecutive(thursday,friday) ),
    inference(instantiation,[status(thm)],[c_800]) ).

cnf(c_826,plain,
    ( ~ on(X0,X1)
    | ~ on(X0,monday)
    | ~ on(X0,tuesday)
    | ~ consecutive(X1,monday)
    | ~ consecutive(monday,tuesday)
    | ~ consecutive(tuesday,wednesday) ),
    inference(instantiation,[status(thm)],[c_798]) ).

cnf(c_832,plain,
    ( ~ all_on(wednesday)
    | on(c,wednesday) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_834,plain,
    ( ~ on(X0,tuesday)
    | ~ on(X0,wednesday)
    | ~ on(X0,thursday)
    | ~ consecutive(tuesday,wednesday)
    | ~ consecutive(wednesday,thursday)
    | ~ consecutive(thursday,friday) ),
    inference(instantiation,[status(thm)],[c_806]) ).

cnf(c_847,plain,
    ( ~ on(b,X0)
    | ~ consecutive(X0,monday)
    | ~ on(b,monday)
    | ~ on(b,tuesday)
    | ~ consecutive(monday,tuesday)
    | ~ consecutive(tuesday,wednesday) ),
    inference(instantiation,[status(thm)],[c_826]) ).

cnf(c_848,plain,
    ( ~ on(b,sunday)
    | ~ on(b,monday)
    | ~ on(b,tuesday)
    | ~ consecutive(sunday,monday)
    | ~ consecutive(monday,tuesday)
    | ~ consecutive(tuesday,wednesday) ),
    inference(instantiation,[status(thm)],[c_847]) ).

cnf(c_855,plain,
    ( ~ on(c,tuesday)
    | ~ on(c,wednesday)
    | ~ on(c,thursday)
    | ~ consecutive(tuesday,wednesday)
    | ~ consecutive(wednesday,thursday)
    | ~ consecutive(thursday,friday) ),
    inference(instantiation,[status(thm)],[c_834]) ).

cnf(c_867,plain,
    ( ~ all_on(monday)
    | on(b,monday) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_868,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_867,c_855,c_848,c_832,c_804,c_794,c_793,c_598,c_424,c_418,c_359,c_104,c_90,c_91,c_92,c_93,c_94,c_95,c_54,c_55,c_56,c_57,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.08/0.11  % Command  : run_iprover %s %d THM
% 0.09/0.31  % Computer : n017.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Thu May  2 20:38:36 EDT 2024
% 0.09/0.31  % CPUTime  : 
% 0.15/0.45  Running first-order theorem proving
% 0.15/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.43/1.13  % SZS status Started for theBenchmark.p
% 0.43/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.13  
% 0.43/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.43/1.13  
% 0.43/1.13  ------  iProver source info
% 0.43/1.13  
% 0.43/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.43/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.43/1.13  git: non_committed_changes: false
% 0.43/1.13  
% 0.43/1.13  ------ Parsing...successful
% 0.43/1.13  
% 0.43/1.13  ------  preprocesses with Option_epr_non_horn_non_eq
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e 
% 0.43/1.13  
% 0.43/1.13  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 0.43/1.13   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.43/1.13  ------ Proving...
% 0.43/1.13  ------ Problem Properties 
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  clauses                                 48
% 0.43/1.13  conjectures                             1
% 0.43/1.13  EPR                                     48
% 0.43/1.13  Horn                                    35
% 0.43/1.13  unary                                   20
% 0.43/1.13  binary                                  19
% 0.43/1.13  lits                                    94
% 0.43/1.13  lits eq                                 0
% 0.43/1.13  fd_pure                                 0
% 0.43/1.13  fd_pseudo                               0
% 0.43/1.13  fd_cond                                 0
% 0.43/1.13  fd_pseudo_cond                          0
% 0.43/1.13  AC symbols                              0
% 0.43/1.13  
% 0.43/1.13  ------ Schedule EPR non Horn non eq is on
% 0.43/1.13  
% 0.43/1.13  ------ no equalities: superposition off 
% 0.43/1.13  
% 0.43/1.13  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  ------ 
% 0.43/1.13  Current options:
% 0.43/1.13  ------ 
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  ------ Proving...
% 0.43/1.13  
% 0.43/1.13  
% 0.43/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.13  
% 0.43/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.43/1.13  
% 0.43/1.13  
%------------------------------------------------------------------------------