TSTP Solution File: PLA002-2 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PLA002-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n025.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 : Thu Aug 31 12:59:13 EDT 2023

% Result   : Unsatisfiable 0.19s 0.66s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   61 (   7 unt;  16 typ;   0 def)
%            Number of atoms       :  111 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  137 (  71   ~;  66   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (   9   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   74 (  32 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    warm: $i > $o ).

tff(decl_23,type,
    cold: $i > $o ).

tff(decl_24,type,
    situation: $i > $o ).

tff(decl_25,type,
    a: $i ).

tff(decl_26,type,
    at: ( $i * $i ) > $o ).

tff(decl_27,type,
    b: $i ).

tff(decl_28,type,
    walk: ( $i * $i ) > $i ).

tff(decl_29,type,
    drive: ( $i * $i ) > $i ).

tff(decl_30,type,
    c: $i ).

tff(decl_31,type,
    skate: ( $i * $i ) > $i ).

tff(decl_32,type,
    d: $i ).

tff(decl_33,type,
    climb: ( $i * $i ) > $i ).

tff(decl_34,type,
    go: ( $i * $i ) > $i ).

tff(decl_35,type,
    e: $i ).

tff(decl_36,type,
    f: $i ).

tff(decl_37,type,
    s0: $i ).

cnf(warm_or_cold,hypothesis,
    ( warm(X1)
    | cold(X2)
    | ~ situation(X1)
    | ~ situation(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',warm_or_cold) ).

cnf(go_situation,hypothesis,
    ( situation(go(X2,X1))
    | ~ situation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',go_situation) ).

cnf(prove_you_can_get_to_a_in_a_situation,negated_conjecture,
    ( ~ at(a,X1)
    | ~ situation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_you_can_get_to_a_in_a_situation) ).

cnf(walk_situation,hypothesis,
    ( situation(walk(X2,X1))
    | ~ situation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk_situation) ).

cnf(walk_b_to_a,hypothesis,
    ( at(a,walk(a,X1))
    | ~ at(b,X1)
    | ~ situation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',walk_b_to_a) ).

cnf(climb_situation,hypothesis,
    ( situation(climb(X2,X1))
    | ~ situation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',climb_situation) ).

cnf(initial_situation,hypothesis,
    situation(s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_situation) ).

cnf(climb_mountain_d_to_b,hypothesis,
    ( at(b,climb(b,X1))
    | ~ warm(X1)
    | ~ at(d,X1)
    | ~ situation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',climb_mountain_d_to_b) ).

cnf(skate_situation,hypothesis,
    ( situation(skate(X2,X1))
    | ~ situation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',skate_situation) ).

cnf(cross_river_c_to_b,hypothesis,
    ( at(b,skate(b,X1))
    | ~ cold(X1)
    | ~ at(c,X1)
    | ~ situation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cross_river_c_to_b) ).

cnf(go_f_to_d,hypothesis,
    ( at(d,go(d,X1))
    | ~ at(f,X1)
    | ~ situation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',go_f_to_d) ).

cnf(initial,hypothesis,
    at(f,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial) ).

cnf(go_d_to_c,hypothesis,
    ( at(c,go(c,X1))
    | ~ at(d,X1)
    | ~ situation(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',go_d_to_c) ).

cnf(c_0_13,hypothesis,
    ( warm(X1)
    | cold(X2)
    | ~ situation(X1)
    | ~ situation(X2) ),
    warm_or_cold ).

cnf(c_0_14,hypothesis,
    ( situation(go(X2,X1))
    | ~ situation(X1) ),
    go_situation ).

cnf(c_0_15,negated_conjecture,
    ( ~ at(a,X1)
    | ~ situation(X1) ),
    prove_you_can_get_to_a_in_a_situation ).

cnf(c_0_16,hypothesis,
    ( situation(walk(X2,X1))
    | ~ situation(X1) ),
    walk_situation ).

cnf(c_0_17,hypothesis,
    ( cold(go(X1,X2))
    | warm(X3)
    | ~ situation(X3)
    | ~ situation(X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,hypothesis,
    ( at(a,walk(a,X1))
    | ~ at(b,X1)
    | ~ situation(X1) ),
    walk_b_to_a ).

cnf(c_0_19,negated_conjecture,
    ( ~ at(a,walk(X1,X2))
    | ~ situation(X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,hypothesis,
    ( cold(go(X1,X2))
    | warm(go(X3,X4))
    | ~ situation(X2)
    | ~ situation(X4) ),
    inference(spm,[status(thm)],[c_0_17,c_0_14]) ).

cnf(c_0_21,hypothesis,
    ( ~ at(b,X1)
    | ~ situation(X1) ),
    inference(csr,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,hypothesis,
    ( situation(climb(X2,X1))
    | ~ situation(X1) ),
    climb_situation ).

cnf(c_0_23,hypothesis,
    ( cold(go(X1,go(X2,X3)))
    | warm(go(X4,X5))
    | ~ situation(X5)
    | ~ situation(X3) ),
    inference(spm,[status(thm)],[c_0_20,c_0_14]) ).

cnf(c_0_24,hypothesis,
    situation(s0),
    initial_situation ).

cnf(c_0_25,hypothesis,
    ( at(b,climb(b,X1))
    | ~ warm(X1)
    | ~ at(d,X1)
    | ~ situation(X1) ),
    climb_mountain_d_to_b ).

cnf(c_0_26,hypothesis,
    ( ~ at(b,climb(X1,X2))
    | ~ situation(X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_27,hypothesis,
    ( cold(go(X1,go(X2,X3)))
    | warm(go(X4,s0))
    | ~ situation(X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,hypothesis,
    ( ~ at(d,X1)
    | ~ situation(X1)
    | ~ warm(X1) ),
    inference(csr,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,hypothesis,
    ( cold(go(X1,go(X2,s0)))
    | warm(go(X3,s0)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_24]) ).

cnf(c_0_30,hypothesis,
    ( situation(skate(X2,X1))
    | ~ situation(X1) ),
    skate_situation ).

cnf(c_0_31,hypothesis,
    ( cold(go(X1,go(X2,s0)))
    | ~ at(d,go(X3,s0))
    | ~ situation(go(X3,s0)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,hypothesis,
    ( at(b,skate(b,X1))
    | ~ cold(X1)
    | ~ at(c,X1)
    | ~ situation(X1) ),
    cross_river_c_to_b ).

cnf(c_0_33,hypothesis,
    ( ~ at(b,skate(X1,X2))
    | ~ situation(X2) ),
    inference(spm,[status(thm)],[c_0_21,c_0_30]) ).

cnf(c_0_34,hypothesis,
    ( cold(go(X1,go(X2,s0)))
    | ~ at(d,go(X3,s0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_14]),c_0_24])]) ).

cnf(c_0_35,hypothesis,
    ( at(d,go(d,X1))
    | ~ at(f,X1)
    | ~ situation(X1) ),
    go_f_to_d ).

cnf(c_0_36,hypothesis,
    at(f,s0),
    initial ).

cnf(c_0_37,hypothesis,
    ( ~ at(c,X1)
    | ~ situation(X1)
    | ~ cold(X1) ),
    inference(csr,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,hypothesis,
    cold(go(X1,go(X2,s0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_24])]) ).

cnf(c_0_39,hypothesis,
    ( ~ at(c,go(X1,go(X2,s0)))
    | ~ situation(go(X1,go(X2,s0))) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_40,hypothesis,
    ( ~ at(c,go(X1,go(X2,s0)))
    | ~ situation(go(X2,s0)) ),
    inference(spm,[status(thm)],[c_0_39,c_0_14]) ).

cnf(c_0_41,hypothesis,
    ( at(c,go(c,X1))
    | ~ at(d,X1)
    | ~ situation(X1) ),
    go_d_to_c ).

cnf(c_0_42,hypothesis,
    ( ~ at(d,go(X1,s0))
    | ~ situation(go(X1,s0)) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_43,hypothesis,
    ~ at(d,go(X1,s0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_14]),c_0_24])]) ).

cnf(c_0_44,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_36]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PLA002-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n025.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   : Sun Aug 27 05:57:38 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.60  start to proof: theBenchmark
% 0.19/0.66  % Version  : CSE_E---1.5
% 0.19/0.66  % Problem  : theBenchmark.p
% 0.19/0.66  % Proof found
% 0.19/0.66  % SZS status Theorem for theBenchmark.p
% 0.19/0.66  % SZS output start Proof
% See solution above
% 0.19/0.67  % Total time : 0.052000 s
% 0.19/0.67  % SZS output end Proof
% 0.19/0.67  % Total time : 0.055000 s
%------------------------------------------------------------------------------