TSTP Solution File: MSC002-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : MSC002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n019.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 09:20:49 EDT 2023

% Result   : Unsatisfiable 0.21s 0.60s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   43 (  10 unt;  14 typ;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   62 (  33   ~;  29   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  10   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   68 (  18 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    something: $i ).

tff(decl_23,type,
    here: $i ).

tff(decl_24,type,
    now: $i ).

tff(decl_25,type,
    at: ( $i * $i * $i ) > $o ).

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

tff(decl_27,type,
    let_go: $i > $i ).

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

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

tff(decl_30,type,
    red: $i > $o ).

tff(decl_31,type,
    pick_up: $i > $i ).

tff(decl_32,type,
    grabbed: ( $i * $i ) > $o ).

tff(decl_33,type,
    there: $i ).

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

tff(decl_35,type,
    answer: $i > $o ).

cnf(can_put_somewhere_if_grab_and_go_there,axiom,
    ( put(X1,X4,go(X4,X3))
    | ~ at(X1,X2,X3)
    | ~ grabbed(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',can_put_somewhere_if_grab_and_go_there) ).

cnf(situation_pick_up,axiom,
    ( at(X1,X2,pick_up(X3))
    | ~ at(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',situation_pick_up) ).

cnf(thing_either_held_or_went_there,axiom,
    ( held(X1,X2)
    | at(X1,X3,go(X4,X2))
    | ~ at(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thing_either_held_or_went_there) ).

cnf(situation_let_go,axiom,
    ( at(X1,X2,let_go(X3))
    | ~ at(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',situation_let_go) ).

cnf(cant_hold_and_let_go,axiom,
    ~ held(X1,let_go(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cant_hold_and_let_go) ).

cnf(answer_if_red_and_put_there,axiom,
    ( answer(X2)
    | ~ red(X1)
    | ~ put(X1,there,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',answer_if_red_and_put_there) ).

cnf(prove_there_is_an_answer_situation,negated_conjecture,
    ~ answer(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer_situation) ).

cnf(something_is_here_now,axiom,
    at(something,here,now),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_is_here_now) ).

cnf(everything_is_red,axiom,
    ( red(X1)
    | ~ at(X1,here,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',everything_is_red) ).

cnf(can_grab_if_previously_let_go,axiom,
    ( grabbed(X1,pick_up(go(X2,let_go(X3))))
    | ~ at(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',can_grab_if_previously_let_go) ).

cnf(c_0_10,axiom,
    ( put(X1,X4,go(X4,X3))
    | ~ at(X1,X2,X3)
    | ~ grabbed(X1,X3) ),
    can_put_somewhere_if_grab_and_go_there ).

cnf(c_0_11,axiom,
    ( at(X1,X2,pick_up(X3))
    | ~ at(X1,X2,X3) ),
    situation_pick_up ).

cnf(c_0_12,plain,
    ( put(X1,X2,go(X2,pick_up(X3)))
    | ~ grabbed(X1,pick_up(X3))
    | ~ at(X1,X4,X3) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,axiom,
    ( held(X1,X2)
    | at(X1,X3,go(X4,X2))
    | ~ at(X1,X3,X2) ),
    thing_either_held_or_went_there ).

cnf(c_0_14,plain,
    ( put(X1,X2,go(X2,pick_up(go(X3,X4))))
    | held(X1,X4)
    | ~ grabbed(X1,pick_up(go(X3,X4)))
    | ~ at(X1,X5,X4) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,axiom,
    ( at(X1,X2,let_go(X3))
    | ~ at(X1,X2,X3) ),
    situation_let_go ).

cnf(c_0_16,axiom,
    ~ held(X1,let_go(X2)),
    cant_hold_and_let_go ).

cnf(c_0_17,axiom,
    ( answer(X2)
    | ~ red(X1)
    | ~ put(X1,there,X2) ),
    answer_if_red_and_put_there ).

cnf(c_0_18,negated_conjecture,
    ~ answer(X1),
    prove_there_is_an_answer_situation ).

cnf(c_0_19,plain,
    ( put(X1,X2,go(X2,pick_up(go(X3,let_go(X4)))))
    | ~ grabbed(X1,pick_up(go(X3,let_go(X4))))
    | ~ at(X1,X5,X4) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_20,axiom,
    at(something,here,now),
    something_is_here_now ).

cnf(c_0_21,axiom,
    ( red(X1)
    | ~ at(X1,here,X2) ),
    everything_is_red ).

cnf(c_0_22,plain,
    ( ~ put(X1,there,X2)
    | ~ red(X1) ),
    inference(sr,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,plain,
    ( put(something,X1,go(X1,pick_up(go(X2,let_go(now)))))
    | ~ grabbed(something,pick_up(go(X2,let_go(now)))) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    red(something),
    inference(spm,[status(thm)],[c_0_21,c_0_20]) ).

cnf(c_0_25,plain,
    ~ grabbed(something,pick_up(go(X1,let_go(now)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_26,axiom,
    ( grabbed(X1,pick_up(go(X2,let_go(X3))))
    | ~ at(X1,X2,X3) ),
    can_grab_if_previously_let_go ).

cnf(c_0_27,plain,
    ~ at(something,X1,now),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_28,plain,
    $false,
    inference(sr,[status(thm)],[c_0_20,c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : MSC002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 13:37:43 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.58  start to proof: theBenchmark
% 0.21/0.60  % Version  : CSE_E---1.5
% 0.21/0.60  % Problem  : theBenchmark.p
% 0.21/0.60  % Proof found
% 0.21/0.60  % SZS status Theorem for theBenchmark.p
% 0.21/0.60  % SZS output start Proof
% See solution above
% 0.21/0.60  % Total time : 0.013000 s
% 0.21/0.60  % SZS output end Proof
% 0.21/0.60  % Total time : 0.016000 s
%------------------------------------------------------------------------------