TSTP Solution File: PLA017-10 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : PLA017-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%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 : Tue Apr 30 20:36:35 EDT 2024

% Result   : Unsatisfiable 3.27s 0.82s
% Output   : CNFRefutation 3.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   39 (  39 unt;   0 def)
%            Number of atoms       :   39 (  38 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-4 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : ifeq(A,A,B,C) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,State] : ifeq(differ(X,table),true,ifeq(holds(empty,State),true,ifeq(holds(clear(X),State),true,holds(holding(X),do(pickup(X),State)),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Z,State] : ifeq(differ(X,Z),true,ifeq(holds(clear(X),State),true,holds(clear(X),do(pickup(Z),State)),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,State,Y] : ifeq(holds(holding(X),State),true,ifeq(holds(clear(Y),State),true,holds(on(X,Y),do(putdown(X,Y),State)),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [Y,X] : ifeq(differ(Y,X),true,differ(X,Y),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    differ(a,c) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    differ(a,table) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    holds(clear(a),s0) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    holds(clear(c),s0) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    holds(empty,s0) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ! [State] : holds(on(a,c),State) != true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f33,plain,
    ! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f35,plain,
    ! [X0,X1] : ifeq(differ(X0,table),true,ifeq(holds(empty,X1),true,ifeq(holds(clear(X0),X1),true,holds(holding(X0),do(pickup(X0),X1)),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f38,plain,
    ! [X0,X1,X2] : ifeq(differ(X0,X1),true,ifeq(holds(clear(X0),X2),true,holds(clear(X0),do(pickup(X1),X2)),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f40,plain,
    ! [X0,X1,X2] : ifeq(holds(holding(X0),X1),true,ifeq(holds(clear(X2),X1),true,holds(on(X0,X2),do(putdown(X0,X2),X1)),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f44,plain,
    ! [X0,X1] : ifeq(differ(X0,X1),true,differ(X1,X0),true) = true,
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f46,plain,
    differ(a,c) = true,
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f48,plain,
    differ(a,table) = true,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f59,plain,
    holds(clear(a),s0) = true,
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f61,plain,
    holds(clear(c),s0) = true,
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f62,plain,
    holds(empty,s0) = true,
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f64,plain,
    ! [X0] : holds(on(a,c),X0) != true,
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f151,plain,
    ifeq(true,true,differ(c,a),true) = true,
    inference(paramodulation,[status(thm)],[f46,f44]) ).

fof(f152,plain,
    differ(c,a) = true,
    inference(forward_demodulation,[status(thm)],[f33,f151]) ).

fof(f219,plain,
    ifeq(differ(a,table),true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true),true) = true,
    inference(paramodulation,[status(thm)],[f59,f35]) ).

fof(f220,plain,
    ifeq(true,true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f48,f219]) ).

fof(f221,plain,
    ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f33,f220]) ).

fof(f222,plain,
    ifeq(true,true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f62,f221]) ).

fof(f223,plain,
    ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true) = true,
    inference(forward_demodulation,[status(thm)],[f33,f222]) ).

fof(f224,plain,
    holds(holding(a),do(pickup(a),s0)) = true,
    inference(forward_demodulation,[status(thm)],[f33,f223]) ).

fof(f732,plain,
    ! [X0] : ifeq(differ(c,X0),true,ifeq(true,true,holds(clear(c),do(pickup(X0),s0)),true),true) = true,
    inference(paramodulation,[status(thm)],[f61,f38]) ).

fof(f733,plain,
    ! [X0] : ifeq(differ(c,X0),true,holds(clear(c),do(pickup(X0),s0)),true) = true,
    inference(forward_demodulation,[status(thm)],[f33,f732]) ).

fof(f760,plain,
    ! [X0] : ifeq(true,true,ifeq(holds(clear(X0),do(pickup(a),s0)),true,holds(on(a,X0),do(putdown(a,X0),do(pickup(a),s0))),true),true) = true,
    inference(paramodulation,[status(thm)],[f224,f40]) ).

fof(f761,plain,
    ! [X0] : ifeq(holds(clear(X0),do(pickup(a),s0)),true,holds(on(a,X0),do(putdown(a,X0),do(pickup(a),s0))),true) = true,
    inference(forward_demodulation,[status(thm)],[f33,f760]) ).

fof(f6308,plain,
    ifeq(true,true,holds(clear(c),do(pickup(a),s0)),true) = true,
    inference(paramodulation,[status(thm)],[f152,f733]) ).

fof(f6309,plain,
    holds(clear(c),do(pickup(a),s0)) = true,
    inference(forward_demodulation,[status(thm)],[f33,f6308]) ).

fof(f18775,plain,
    ifeq(true,true,holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),true) = true,
    inference(paramodulation,[status(thm)],[f6309,f761]) ).

fof(f18776,plain,
    holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))) = true,
    inference(forward_demodulation,[status(thm)],[f33,f18775]) ).

fof(f18777,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f18776,f64]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : PLA017-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 22:29:59 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.14/0.37  % Drodi V3.6.0
% 3.27/0.82  % Refutation found
% 3.27/0.82  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.27/0.82  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.77/0.89  % Elapsed time: 0.510038 seconds
% 3.77/0.89  % CPU time: 3.748585 seconds
% 3.77/0.89  % Total memory used: 167.529 MB
% 3.77/0.89  % Net memory used: 165.624 MB
%------------------------------------------------------------------------------