TSTP Solution File: PUZ031-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : PUZ031-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 02:54:39 EDT 2024

% Result   : Unsatisfiable 1.98s 1.17s
% Output   : CNFRefutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   65 (  17 unt;   8 nHn;  65 RR)
%            Number of literals    :  171 (   0 equ; 115 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  15 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   56 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ wolf(X0)
    | animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_an_animal) ).

cnf(c_50,plain,
    ( ~ fox(X0)
    | animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_an_animal) ).

cnf(c_51,plain,
    ( ~ bird(X0)
    | animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_an_animal) ).

cnf(c_53,plain,
    ( ~ snail(X0)
    | animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_an_animal) ).

cnf(c_54,plain,
    wolf(a_wolf),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_wolf) ).

cnf(c_55,plain,
    fox(a_fox),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_fox) ).

cnf(c_56,plain,
    bird(a_bird),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_bird) ).

cnf(c_58,plain,
    snail(a_snail),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_snail) ).

cnf(c_59,plain,
    grain(a_grain),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_a_grain) ).

cnf(c_60,plain,
    ( ~ grain(X0)
    | plant(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_a_plant) ).

cnf(c_61,plain,
    ( ~ eats(X0,X1)
    | ~ much_smaller(X0,X2)
    | ~ animal(X0)
    | ~ animal(X2)
    | ~ plant(X1)
    | ~ plant(X3)
    | eats(X2,X0)
    | eats(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',eating_habits) ).

cnf(c_63,plain,
    ( ~ bird(X0)
    | ~ snail(X1)
    | much_smaller(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_smaller_than_bird) ).

cnf(c_64,plain,
    ( ~ fox(X0)
    | ~ bird(X1)
    | much_smaller(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_smaller_than_fox) ).

cnf(c_65,plain,
    ( ~ wolf(X0)
    | ~ fox(X1)
    | much_smaller(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_smaller_than_wolf) ).

cnf(c_66,plain,
    ( ~ eats(X0,X1)
    | ~ wolf(X0)
    | ~ fox(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_dont_eat_fox) ).

cnf(c_67,plain,
    ( ~ eats(X0,X1)
    | ~ wolf(X0)
    | ~ grain(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_dont_eat_grain) ).

cnf(c_69,plain,
    ( ~ eats(X0,X1)
    | ~ bird(X0)
    | ~ snail(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_dont_eat_snail) ).

cnf(c_72,plain,
    ( ~ snail(X0)
    | plant(snail_food_of(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_food_is_a_plant) ).

cnf(c_73,plain,
    ( ~ snail(X0)
    | eats(X0,snail_food_of(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_eats_snail_food) ).

cnf(c_74,negated_conjecture,
    ( ~ eats(X0,X1)
    | ~ eats(X1,X2)
    | ~ animal(X0)
    | ~ animal(X1)
    | ~ grain(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_the_animal_exists) ).

cnf(c_78,plain,
    ( ~ bird(a_bird)
    | animal(a_bird) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_220,plain,
    ( ~ eats(a_wolf,X0)
    | ~ grain(X0) ),
    inference(resolution,[status(thm)],[c_67,c_54]) ).

cnf(c_228,plain,
    ( ~ eats(a_wolf,X0)
    | ~ fox(X0) ),
    inference(resolution,[status(thm)],[c_66,c_54]) ).

cnf(c_236,plain,
    ( ~ fox(X0)
    | much_smaller(X0,a_wolf) ),
    inference(resolution,[status(thm)],[c_65,c_54]) ).

cnf(c_244,plain,
    animal(a_wolf),
    inference(resolution,[status(thm)],[c_49,c_54]) ).

cnf(c_255,plain,
    much_smaller(a_fox,a_wolf),
    inference(resolution,[status(thm)],[c_236,c_55]) ).

cnf(c_259,plain,
    ~ eats(a_wolf,a_fox),
    inference(resolution,[status(thm)],[c_228,c_55]) ).

cnf(c_263,plain,
    ( ~ bird(X0)
    | much_smaller(X0,a_fox) ),
    inference(resolution,[status(thm)],[c_64,c_55]) ).

cnf(c_271,plain,
    animal(a_fox),
    inference(resolution,[status(thm)],[c_50,c_55]) ).

cnf(c_280,plain,
    ~ eats(a_wolf,a_grain),
    inference(resolution,[status(thm)],[c_59,c_220]) ).

cnf(c_284,plain,
    plant(a_grain),
    inference(resolution,[status(thm)],[c_59,c_60]) ).

cnf(c_288,plain,
    ( ~ eats(X0,X1)
    | ~ eats(X1,a_grain)
    | ~ animal(X0)
    | ~ animal(X1) ),
    inference(resolution,[status(thm)],[c_59,c_74]) ).

cnf(c_343,plain,
    eats(a_snail,snail_food_of(a_snail)),
    inference(resolution,[status(thm)],[c_73,c_58]) ).

cnf(c_347,plain,
    plant(snail_food_of(a_snail)),
    inference(resolution,[status(thm)],[c_72,c_58]) ).

cnf(c_351,plain,
    animal(a_snail),
    inference(resolution,[status(thm)],[c_53,c_58]) ).

cnf(c_355,plain,
    ( ~ eats(X0,a_snail)
    | ~ bird(X0) ),
    inference(resolution,[status(thm)],[c_58,c_69]) ).

cnf(c_356,plain,
    ( ~ eats(a_bird,a_snail)
    | ~ bird(a_bird) ),
    inference(instantiation,[status(thm)],[c_355]) ).

cnf(c_363,plain,
    ( ~ bird(X0)
    | much_smaller(a_snail,X0) ),
    inference(resolution,[status(thm)],[c_58,c_63]) ).

cnf(c_378,plain,
    much_smaller(a_snail,a_bird),
    inference(resolution,[status(thm)],[c_363,c_56]) ).

cnf(c_394,plain,
    much_smaller(a_bird,a_fox),
    inference(resolution,[status(thm)],[c_263,c_56]) ).

cnf(c_408,plain,
    ( ~ eats(a_fox,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | ~ animal(a_wolf)
    | ~ animal(a_fox)
    | eats(a_wolf,X1)
    | eats(a_wolf,a_fox) ),
    inference(resolution,[status(thm)],[c_61,c_255]) ).

cnf(c_410,plain,
    ( eats(a_wolf,X1)
    | ~ plant(X1)
    | ~ plant(X0)
    | ~ eats(a_fox,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_408,c_244,c_259,c_271,c_408]) ).

cnf(c_411,plain,
    ( ~ eats(a_fox,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | eats(a_wolf,X1) ),
    inference(renaming,[status(thm)],[c_410]) ).

cnf(c_425,plain,
    ( ~ eats(a_bird,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | ~ animal(a_fox)
    | ~ animal(a_bird)
    | eats(a_fox,X1)
    | eats(a_fox,a_bird) ),
    inference(resolution,[status(thm)],[c_61,c_394]) ).

cnf(c_427,plain,
    ( ~ eats(a_bird,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | eats(a_fox,X1)
    | eats(a_fox,a_bird) ),
    inference(global_subsumption_just,[status(thm)],[c_425,c_56,c_78,c_271,c_425]) ).

cnf(c_446,plain,
    ( ~ eats(a_snail,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | ~ animal(a_bird)
    | ~ animal(a_snail)
    | eats(a_bird,X1)
    | eats(a_bird,a_snail) ),
    inference(resolution,[status(thm)],[c_61,c_378]) ).

cnf(c_448,plain,
    ( eats(a_bird,X1)
    | ~ plant(X1)
    | ~ plant(X0)
    | ~ eats(a_snail,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_446,c_56,c_78,c_351,c_356,c_446]) ).

cnf(c_449,plain,
    ( ~ eats(a_snail,X0)
    | ~ plant(X0)
    | ~ plant(X1)
    | eats(a_bird,X1) ),
    inference(renaming,[status(thm)],[c_448]) ).

cnf(c_538,plain,
    ( eats(a_bird,X0)
    | ~ plant(X0)
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_449]) ).

cnf(c_539,plain,
    ( ~ eats(a_snail,X0)
    | ~ plant(X0)
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_449]) ).

cnf(c_540,plain,
    ( sP0_iProver_def
    | sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_449]) ).

cnf(c_541,plain,
    ( eats(a_fox,X0)
    | ~ plant(X0)
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_427]) ).

cnf(c_542,plain,
    ( ~ eats(a_bird,X0)
    | ~ plant(X0)
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_427]) ).

cnf(c_543,plain,
    ( eats(a_fox,a_bird)
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_427]) ).

cnf(c_544,plain,
    ( eats(a_wolf,X0)
    | ~ plant(X0)
    | ~ sP4_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_411]) ).

cnf(c_545,plain,
    ( ~ eats(a_fox,X0)
    | ~ plant(X0)
    | ~ sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_411]) ).

cnf(c_546,plain,
    ( sP4_iProver_def
    | sP5_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

cnf(c_553,plain,
    ( ~ plant(a_grain)
    | ~ sP0_iProver_def
    | eats(a_bird,a_grain) ),
    inference(instantiation,[status(thm)],[c_538]) ).

cnf(c_556,plain,
    ( ~ plant(a_grain)
    | ~ sP4_iProver_def
    | eats(a_wolf,a_grain) ),
    inference(instantiation,[status(thm)],[c_544]) ).

cnf(c_561,plain,
    ( ~ eats(a_snail,snail_food_of(a_snail))
    | ~ plant(snail_food_of(a_snail))
    | ~ sP1_iProver_def ),
    inference(instantiation,[status(thm)],[c_539]) ).

cnf(c_562,plain,
    ( ~ eats(a_fox,a_grain)
    | ~ plant(a_grain)
    | ~ sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_545]) ).

cnf(c_569,plain,
    ( ~ eats(a_fox,a_bird)
    | ~ eats(a_bird,a_grain)
    | ~ animal(a_fox)
    | ~ animal(a_bird) ),
    inference(instantiation,[status(thm)],[c_288]) ).

cnf(c_572,plain,
    ( ~ plant(a_grain)
    | ~ sP2_iProver_def
    | eats(a_fox,a_grain) ),
    inference(instantiation,[status(thm)],[c_541]) ).

cnf(c_575,plain,
    ( ~ eats(a_bird,a_grain)
    | ~ plant(a_grain)
    | ~ sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_542]) ).

cnf(c_576,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_575,c_572,c_569,c_562,c_561,c_556,c_553,c_543,c_546,c_540,c_347,c_343,c_284,c_280,c_271,c_78,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ031-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n031.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 21:40:01 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 1.98/1.17  % SZS status Started for theBenchmark.p
% 1.98/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.17  
% 1.98/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.98/1.17  
% 1.98/1.17  ------  iProver source info
% 1.98/1.17  
% 1.98/1.17  git: date: 2024-05-02 19:28:25 +0000
% 1.98/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.98/1.17  git: non_committed_changes: false
% 1.98/1.17  
% 1.98/1.17  ------ Parsing...successful
% 1.98/1.17  
% 1.98/1.17  
% 1.98/1.17  
% 1.98/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.98/1.17  
% 1.98/1.17  ------ Preprocessing... gs_s  sp: 6 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.98/1.17  ------ Proving...
% 1.98/1.17  ------ Problem Properties 
% 1.98/1.17  
% 1.98/1.17  
% 1.98/1.17  clauses                                 24
% 1.98/1.17  conjectures                             0
% 1.98/1.17  EPR                                     20
% 1.98/1.17  Horn                                    21
% 1.98/1.17  unary                                   14
% 1.98/1.17  binary                                  2
% 1.98/1.17  lits                                    43
% 1.98/1.17  lits eq                                 0
% 1.98/1.17  fd_pure                                 0
% 1.98/1.17  fd_pseudo                               0
% 1.98/1.17  fd_cond                                 0
% 1.98/1.17  fd_pseudo_cond                          0
% 1.98/1.17  AC symbols                              0
% 1.98/1.17  
% 1.98/1.17  ------ Schedule dynamic 5 is on 
% 1.98/1.17  
% 1.98/1.17  ------ no conjectures: strip conj schedule 
% 1.98/1.17  
% 1.98/1.17  ------ no equalities: superposition off 
% 1.98/1.17  
% 1.98/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.98/1.17  
% 1.98/1.17  
% 1.98/1.17  ------ 
% 1.98/1.17  Current options:
% 1.98/1.17  ------ 
% 1.98/1.17  
% 1.98/1.17  
% 1.98/1.17  
% 1.98/1.17  
% 1.98/1.17  ------ Proving...
% 1.98/1.17  
% 1.98/1.17  
% 1.98/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 1.98/1.17  
% 1.98/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.98/1.17  
% 1.98/1.17  
%------------------------------------------------------------------------------