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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MSC001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:28:13 PM UTC 2026

% Result   : Unsatisfiable 0.07s 0.33s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   46 (  13 unt;   0 def)
%            Number of atoms       :   92 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   94 (  48   ~;  46   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  104 ( 104   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [A,B] : ~ hold(thing(A),do(let_go,B)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B] : at(hand,A,do(go(A),B)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A,B,C] :
      ( hold(thing(A),C)
      | at(thing(A),B,C)
      | ~ at(thing(A),B,do(go(B),C)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A,B,C] :
      ( hold(thing(taken(B)),do(pick_up,B))
      | ~ at(thing(C),A,B)
      | ~ at(hand,A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A,B,C] :
      ( at(thing(A),C,B)
      | ~ at(hand,C,B)
      | ~ hold(thing(A),B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [A,B] :
      ( answer(B)
      | ~ at(A,there,B)
      | ~ red(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [A,B,C] :
      ( hold(thing(A),do(go(C),B))
      | ~ hold(thing(A),B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [A,B] :
      ( at(thing(taken(B)),A,B)
      | ~ at(hand,A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [A,B,C] :
      ( at(A,B,do(let_go,C))
      | ~ at(A,B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [A,B,C] :
      ( at(A,B,C)
      | ~ at(A,B,do(let_go,C)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,hypothesis,
    ! [A] :
      ( red(A)
      | ~ at(A,here,now) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,negated_conjecture,
    ! [A] : ~ answer(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,plain,
    ! [X0,X1] : ~ hold(thing(X0),do(let_go,X1)),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f22,plain,
    ! [X0,X1] : at(hand,X0,do(go(X0),X1)),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f24,plain,
    ! [A,C] :
      ( hold(thing(A),C)
      | ! [B] :
          ( at(thing(A),B,C)
          | ~ at(thing(A),B,do(go(B),C)) ) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( hold(thing(X0),X2)
      | at(thing(X0),X1,X2)
      | ~ at(thing(X0),X1,do(go(X1),X2)) ),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f26,plain,
    ! [B] :
      ( hold(thing(taken(B)),do(pick_up,B))
      | ! [A] :
          ( ! [C] : ~ at(thing(C),A,B)
          | ~ at(hand,A,B) ) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( hold(thing(taken(X1)),do(pick_up,X1))
      | ~ at(thing(X2),X0,X1)
      | ~ at(hand,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( at(thing(X0),X2,X1)
      | ~ at(hand,X2,X1)
      | ~ hold(thing(X0),X1) ),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f31,plain,
    ! [B] :
      ( answer(B)
      | ! [A] :
          ( ~ at(A,there,B)
          | ~ red(A) ) ),
    inference(miniscoping,[status(thm)],[f10]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( answer(X1)
      | ~ at(X0,there,X1)
      | ~ red(X0) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f34,plain,
    ! [A,B] :
      ( ! [C] : hold(thing(A),do(go(C),B))
      | ~ hold(thing(A),B) ),
    inference(miniscoping,[status(thm)],[f12]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( hold(thing(X0),do(go(X2),X1))
      | ~ hold(thing(X0),X1) ),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( at(thing(taken(X1)),X0,X1)
      | ~ at(hand,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( at(X0,X1,do(let_go,X2))
      | ~ at(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( at(X0,X1,X2)
      | ~ at(X0,X1,do(let_go,X2)) ),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f40,plain,
    ! [X0] :
      ( red(X0)
      | ~ at(X0,here,now) ),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f41,plain,
    ! [X0] : ~ answer(X0),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ at(X0,there,X1)
      | ~ red(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f32,f41]) ).

fof(f52,plain,
    ! [X0,X1] : at(thing(taken(do(go(X0),X1))),X0,do(go(X0),X1)),
    inference(resolution,[status(thm)],[f36,f22]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ at(hand,X1,X0)
      | at(thing(taken(do(let_go,X0))),X1,do(let_go,X0)) ),
    inference(resolution,[status(thm)],[f36,f38]) ).

fof(f57,plain,
    ! [X0,X1,X2,X3] :
      ( ~ hold(thing(X3),X2)
      | at(thing(X3),X0,do(go(X1),X2))
      | ~ at(hand,X0,do(go(X1),X2)) ),
    inference(resolution,[status(thm)],[f28,f35]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( hold(thing(taken(do(go(X0),X1))),X1)
      | at(thing(taken(do(go(X0),X1))),X0,X1) ),
    inference(resolution,[status(thm)],[f52,f25]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( at(thing(taken(do(let_go,X1))),X0,X1)
      | ~ at(hand,X0,X1) ),
    inference(resolution,[status(thm)],[f53,f39]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ at(hand,X1,X0)
      | at(thing(taken(do(let_go,do(let_go,X0)))),X1,do(let_go,X0)) ),
    inference(resolution,[status(thm)],[f68,f38]) ).

fof(f84,plain,
    ! [X0,X1,X2] :
      ( ~ hold(thing(X0),X2)
      | at(thing(X0),X1,do(go(X1),X2)) ),
    inference(resolution,[status(thm)],[f57,f22]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3] :
      ( ~ at(thing(X3),X2,X0)
      | ~ at(hand,X2,X0)
      | at(thing(taken(X0)),X1,do(go(X1),do(pick_up,X0))) ),
    inference(resolution,[status(thm)],[f84,f27]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( at(thing(taken(do(go(X0),do(let_go,X1)))),X0,X1)
      | hold(thing(taken(do(go(X0),do(let_go,X1)))),do(let_go,X1)) ),
    inference(resolution,[status(thm)],[f64,f39]) ).

fof(f117,plain,
    ! [X0,X1] : at(thing(taken(do(go(X0),do(let_go,X1)))),X0,X1),
    inference(forward_subsumption_resolution,[status(thm)],[f107,f20]) ).

fof(f127,plain,
    red(thing(taken(do(go(here),do(let_go,now))))),
    inference(resolution,[status(thm)],[f117,f40]) ).

fof(f130,plain,
    ! [X0] : ~ at(thing(taken(do(go(here),do(let_go,now)))),there,X0),
    inference(resolution,[status(thm)],[f127,f42]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( at(thing(taken(do(let_go,do(let_go,X1)))),X0,X1)
      | ~ at(hand,X0,X1) ),
    inference(resolution,[status(thm)],[f70,f39]) ).

fof(f187,plain,
    ! [X0,X1] : at(thing(taken(do(let_go,do(let_go,do(go(X0),X1))))),X0,do(go(X0),X1)),
    inference(resolution,[status(thm)],[f186,f22]) ).

fof(f249,plain,
    ! [X0,X1,X2,X3] :
      ( ~ at(thing(X3),X0,do(go(X0),X1))
      | at(thing(taken(do(go(X0),X1))),X2,do(go(X2),do(pick_up,do(go(X0),X1)))) ),
    inference(resolution,[status(thm)],[f86,f22]) ).

fof(f521,plain,
    ! [X0] : ~ at(thing(X0),here,do(go(here),do(let_go,now))),
    inference(resolution,[status(thm)],[f249,f130]) ).

fof(f526,plain,
    $false,
    inference(resolution,[status(thm)],[f521,f187]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : MSC001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.29  % Computer : n012.cluster.edu
% 0.04/0.29  % Model    : x86_64 x86_64
% 0.04/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29  % Memory   : 8046.5625MB
% 0.04/0.29  % OS       : Linux 6.8.0-71-generic
% 0.04/0.29  % CPULimit : 300
% 0.04/0.29  % WCLimit  : 300
% 0.04/0.29  % DateTime : Mon Sep 21 01:26:36 UTC 2026
% 0.04/0.30  % CPUTime  : 
% 0.04/0.30  % Drodi V4.1.1
% 0.07/0.33  % Refutation found
% 0.07/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.34  % Elapsed time: 0.037864 seconds
% 0.07/0.34  % CPU time: 0.122383 seconds
% 0.07/0.34  % Total memory used: 19.786 MB
% 0.07/0.34  % Net memory used: 19.279 MB
%------------------------------------------------------------------------------