TSTP Solution File: PLA002-1 by Leo-III---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : PLA002-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n015.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 : Tue May 21 02:19:44 EDT 2024

% Result   : Unsatisfiable 3.25s 2.09s
% Output   : Refutation 3.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   50 (   5 unt;  15 typ;   0 def)
%            Number of atoms       :   73 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  264 (  38   ~;  38   |;   0   &; 188   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^  34   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(at_type,type,
    at: $i > $i > $o ).

thf(a_type,type,
    a: $i ).

thf(warm_type,type,
    warm: $i > $o ).

thf(cold_type,type,
    cold: $i > $o ).

thf(b_type,type,
    b: $i ).

thf(walk_type,type,
    walk: $i > $i > $i ).

thf(f_type,type,
    f: $i ).

thf(s0_type,type,
    s0: $i ).

thf(c_type,type,
    c: $i ).

thf(skate_type,type,
    skate: $i > $i > $i ).

thf(d_type,type,
    d: $i ).

thf(go_type,type,
    go: $i > $i > $i ).

thf(climb_type,type,
    climb: $i > $i > $i ).

thf(e_type,type,
    e: $i ).

thf(drive_type,type,
    drive: $i > $i > $i ).

thf(9,axiom,
    ! [A: $i] :
      ( ~ ( warm @ A )
      | ~ ( at @ d @ A )
      | ( at @ b @ ( climb @ b @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_mountain_d_to_b) ).

thf(33,plain,
    ! [A: $i] :
      ( ~ ( warm @ A )
      | ~ ( at @ d @ A )
      | ( at @ b @ ( climb @ b @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(13,axiom,
    ! [A: $i] :
      ( ~ ( at @ b @ A )
      | ( at @ a @ ( drive @ a @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive_b_to_a) ).

thf(41,plain,
    ! [A: $i] :
      ( ~ ( at @ b @ A )
      | ( at @ a @ ( drive @ a @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(15,axiom,
    ! [A: $i] :
      ( ~ ( at @ f @ A )
      | ( at @ d @ ( go @ d @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_f_to_d) ).

thf(45,plain,
    ! [A: $i] :
      ( ~ ( at @ f @ A )
      | ( at @ d @ ( go @ d @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(17,axiom,
    ! [A: $i] :
      ( ~ ( cold @ A )
      | ~ ( at @ b @ A )
      | ( at @ c @ ( skate @ c @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_river_b_to_c) ).

thf(49,plain,
    ! [A: $i] :
      ( ~ ( cold @ A )
      | ~ ( at @ b @ A )
      | ( at @ c @ ( skate @ c @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ~ ( at @ e @ A )
      | ( at @ c @ ( go @ c @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_e_to_c) ).

thf(39,plain,
    ! [A: $i] :
      ( ~ ( at @ e @ A )
      | ( at @ c @ ( go @ c @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ~ ( at @ c @ A )
      | ( at @ e @ ( go @ e @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_c_to_e) ).

thf(35,plain,
    ! [A: $i] :
      ( ~ ( at @ c @ A )
      | ( at @ e @ ( go @ e @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ~ ( at @ a @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_you_can_get_to_a) ).

thf(18,plain,
    ! [A: $i] :
      ~ ( at @ a @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ~ ( at @ a @ A )
      | ( at @ b @ ( walk @ b @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk_a_to_b) ).

thf(31,plain,
    ! [A: $i] :
      ( ~ ( at @ a @ A )
      | ( at @ b @ ( walk @ b @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(14,axiom,
    ! [A: $i] :
      ( ~ ( at @ a @ A )
      | ( at @ b @ ( drive @ b @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',drive_a_to_b) ).

thf(43,plain,
    ! [A: $i] :
      ( ~ ( at @ a @ A )
      | ( at @ b @ ( drive @ b @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(16,axiom,
    ! [A: $i] :
      ( ~ ( at @ c @ A )
      | ( at @ d @ ( go @ d @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_c_to_d) ).

thf(47,plain,
    ! [A: $i] :
      ( ~ ( at @ c @ A )
      | ( at @ d @ ( go @ d @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(4,axiom,
    at @ f @ s0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial) ).

thf(24,plain,
    at @ f @ s0,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(11,axiom,
    ! [A: $i] :
      ( ~ ( warm @ A )
      | ~ ( at @ b @ A )
      | ( at @ d @ ( climb @ d @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',climb_mountain_b_to_d) ).

thf(37,plain,
    ! [A: $i] :
      ( ~ ( warm @ A )
      | ~ ( at @ b @ A )
      | ( at @ d @ ( climb @ d @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ~ ( cold @ A )
      | ~ ( at @ c @ A )
      | ( at @ b @ ( skate @ b @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_river_c_to_b) ).

thf(25,plain,
    ! [A: $i] :
      ( ~ ( cold @ A )
      | ~ ( at @ c @ A )
      | ( at @ b @ ( skate @ b @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(2,axiom,
    ! [B: $i,A: $i] :
      ( ( warm @ A )
      | ( cold @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',warm_or_cold) ).

thf(20,plain,
    ! [B: $i,A: $i] :
      ( ( warm @ A )
      | ( cold @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ~ ( at @ d @ A )
      | ( at @ f @ ( go @ f @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_d_to_f) ).

thf(29,plain,
    ! [A: $i] :
      ( ~ ( at @ d @ A )
      | ( at @ f @ ( go @ f @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(3,axiom,
    ! [A: $i] :
      ( ~ ( at @ b @ A )
      | ( at @ a @ ( walk @ a @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',walk_b_to_a) ).

thf(22,plain,
    ! [A: $i] :
      ( ~ ( at @ b @ A )
      | ( at @ a @ ( walk @ a @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ~ ( at @ d @ A )
      | ( at @ c @ ( go @ c @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',go_d_to_c) ).

thf(27,plain,
    ! [A: $i] :
      ( ~ ( at @ d @ A )
      | ( at @ c @ ( go @ c @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(51,plain,
    $false,
    inference(e,[status(thm)],[33,41,45,49,39,35,18,31,43,47,24,37,25,20,29,22,27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : PLA002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.09/0.12  % Command  : run_Leo-III %s %d
% 0.12/0.32  % Computer : n015.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat May 18 13:53:09 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.99/0.93  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.27/1.09  % [INFO] 	 Parsing done (154ms). 
% 1.27/1.10  % [INFO] 	 Running in sequential loop mode. 
% 1.72/1.45  % [INFO] 	 eprover registered as external prover. 
% 1.72/1.45  % [INFO] 	 cvc4 registered as external prover. 
% 1.86/1.46  % [INFO] 	 Scanning for conjecture ... 
% 2.02/1.54  % [INFO] 	 Found a conjecture (or negated_conjecture) and 16 axioms. Running axiom selection ... 
% 2.02/1.60  % [INFO] 	 Axiom selection finished. Selected 16 axioms (removed 0 axioms). 
% 2.23/1.63  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.23/1.63  % [INFO] 	 Type checking passed. 
% 2.23/1.63  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 3.25/2.08  % External prover 'e' found a proof!
% 3.25/2.08  % [INFO] 	 Killing All external provers ... 
% 3.25/2.09  % Time passed: 1610ms (effective reasoning time: 978ms)
% 3.25/2.09  % Axioms used in derivation (16): initial, go_d_to_c, go_f_to_d, go_c_to_e, climb_mountain_d_to_b, walk_a_to_b, cross_river_b_to_c, go_e_to_c, go_c_to_d, cross_river_c_to_b, warm_or_cold, drive_b_to_a, walk_b_to_a, drive_a_to_b, climb_mountain_b_to_d, go_d_to_f
% 3.25/2.09  % No. of inferences in proof: 35
% 3.25/2.09  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1610 ms resp. 978 ms w/o parsing
% 3.36/2.13  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.36/2.13  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------