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

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---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 : n020.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 02:20:00 EDT 2024

% Result   : Unsatisfiable 13.00s 3.82s
% Output   : Refutation 13.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   55 (  11 unt;  13 typ;   0 def)
%            Number of atoms       :   95 (   5 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  277 (  45   ~;  43   |;   0   &; 189   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :   49 (   0   ^  49   !;   0   ?;  49   :)

% 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(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(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(46,plain,
    ! [A: $i] :
      ( ~ ( at @ f @ A )
      | ( at @ d @ ( go @ d @ A ) ) ),
    inference(cnf,[status(esa)],[45]) ).

thf(898,plain,
    ! [A: $i] :
      ( ( at @ d @ ( go @ d @ A ) )
      | ( ( at @ f @ s0 )
       != ( at @ f @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[24,46]) ).

thf(899,plain,
    at @ d @ ( go @ d @ s0 ),
    inference(pattern_uni,[status(thm)],[898:[bind(A,$thf( s0 ))]]) ).

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(34,plain,
    ! [A: $i] :
      ( ~ ( warm @ A )
      | ~ ( at @ d @ A )
      | ( at @ b @ ( climb @ b @ A ) ) ),
    inference(cnf,[status(esa)],[33]) ).

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(23,plain,
    ! [A: $i] :
      ( ~ ( at @ b @ A )
      | ( at @ a @ ( walk @ a @ A ) ) ),
    inference(cnf,[status(esa)],[22]) ).

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

thf(93,plain,
    ! [A: $i] :
      ( ~ ( at @ b @ A )
      | $false ),
    inference(rewrite,[status(thm)],[23,19]) ).

thf(94,plain,
    ! [A: $i] :
      ~ ( at @ b @ A ),
    inference(simp,[status(thm)],[93]) ).

thf(296,plain,
    ! [A: $i] :
      ( ~ ( warm @ A )
      | ~ ( at @ d @ A )
      | $false ),
    inference(rewrite,[status(thm)],[34,94]) ).

thf(297,plain,
    ! [A: $i] :
      ( ~ ( warm @ A )
      | ~ ( at @ d @ A ) ),
    inference(simp,[status(thm)],[296]) ).

thf(1004,plain,
    ! [A: $i] :
      ( ~ ( warm @ A )
      | ( ( at @ d @ ( go @ d @ s0 ) )
       != ( at @ d @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[899,297]) ).

thf(1005,plain,
    ~ ( warm @ ( go @ d @ s0 ) ),
    inference(pattern_uni,[status(thm)],[1004:[bind(A,$thf( go @ d @ s0 ))]]) ).

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(28,plain,
    ! [A: $i] :
      ( ~ ( at @ d @ A )
      | ( at @ c @ ( go @ c @ A ) ) ),
    inference(cnf,[status(esa)],[27]) ).

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(21,plain,
    ! [B: $i,A: $i] :
      ( ( warm @ A )
      | ( cold @ B ) ),
    inference(cnf,[status(esa)],[20]) ).

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(26,plain,
    ! [A: $i] :
      ( ~ ( cold @ A )
      | ~ ( at @ c @ A )
      | ( at @ b @ ( skate @ b @ A ) ) ),
    inference(cnf,[status(esa)],[25]) ).

thf(55,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( warm @ A )
      | ~ ( at @ c @ C )
      | ( at @ b @ ( skate @ b @ C ) )
      | ( ( cold @ B )
       != ( cold @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[21,26]) ).

thf(56,plain,
    ! [B: $i,A: $i] :
      ( ( warm @ A )
      | ~ ( at @ c @ B )
      | ( at @ b @ ( skate @ b @ B ) ) ),
    inference(pattern_uni,[status(thm)],[55:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).

thf(95,plain,
    ! [B: $i,A: $i] :
      ( ( warm @ A )
      | ~ ( at @ c @ B )
      | $false ),
    inference(rewrite,[status(thm)],[56,94]) ).

thf(96,plain,
    ! [B: $i,A: $i] :
      ( ( warm @ A )
      | ~ ( at @ c @ B ) ),
    inference(simp,[status(thm)],[95]) ).

thf(120,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( at @ d @ A )
      | ( warm @ B )
      | ( ( at @ c @ ( go @ c @ A ) )
       != ( at @ c @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[28,96]) ).

thf(121,plain,
    ! [B: $i,A: $i] :
      ( ~ ( at @ d @ B )
      | ( warm @ A ) ),
    inference(pattern_uni,[status(thm)],[120:[bind(A,$thf( E )),bind(B,$thf( B )),bind(C,$thf( go @ c @ E ))]]) ).

thf(127,plain,
    ! [B: $i,A: $i] :
      ( ~ ( at @ d @ B )
      | ( warm @ A ) ),
    inference(simp,[status(thm)],[121]) ).

thf(1017,plain,
    ! [B: $i,A: $i] :
      ( ( warm @ A )
      | ( ( at @ d @ ( go @ d @ s0 ) )
       != ( at @ d @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[899,127]) ).

thf(1018,plain,
    ! [A: $i] : ( warm @ A ),
    inference(pattern_uni,[status(thm)],[1017:[bind(A,$thf( A )),bind(B,$thf( go @ d @ s0 ))]]) ).

thf(1116,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[1005,1018]) ).

thf(1117,plain,
    $false,
    inference(simp,[status(thm)],[1116]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : PLA002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.13  % Command  : run_Leo-III %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sat May 18 13:30:54 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 1.02/0.97  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.26/1.14  % [INFO] 	 Parsing done (166ms). 
% 1.42/1.15  % [INFO] 	 Running in sequential loop mode. 
% 1.88/1.52  % [INFO] 	 nitpick registered as external prover. 
% 1.88/1.52  % [INFO] 	 Scanning for conjecture ... 
% 2.02/1.61  % [INFO] 	 Found a conjecture (or negated_conjecture) and 16 axioms. Running axiom selection ... 
% 2.14/1.67  % [INFO] 	 Axiom selection finished. Selected 16 axioms (removed 0 axioms). 
% 2.30/1.70  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.30/1.70  % [INFO] 	 Type checking passed. 
% 2.30/1.71  % [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 ... 
% 13.00/3.80  % [INFO] 	 Killing All external provers ... 
% 13.00/3.81  % Time passed: 3324ms (effective reasoning time: 2650ms)
% 13.00/3.82  % Axioms used in derivation (7): initial, go_d_to_c, go_f_to_d, walk_b_to_a, climb_mountain_d_to_b, cross_river_c_to_b, warm_or_cold
% 13.00/3.82  % No. of inferences in proof: 42
% 13.00/3.82  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 3324 ms resp. 2650 ms w/o parsing
% 13.11/3.95  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 13.11/3.95  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------