TSTP Solution File: PLA018-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PLA018-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 14:42:00 EDT 2024

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   80 (  21 unt;   0 def)
%            Number of atoms       :  363 (   0 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  615 ( 332   ~; 283   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :  113 ( 113   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f350,plain,
    $false,
    inference(subsumption_resolution,[],[f349,f15]) ).

fof(f15,axiom,
    differ(a,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).

fof(f349,plain,
    ~ differ(a,table),
    inference(subsumption_resolution,[],[f348,f21]) ).

fof(f21,axiom,
    differ(d,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_d_table) ).

fof(f348,plain,
    ( ~ differ(d,table)
    | ~ differ(a,table) ),
    inference(subsumption_resolution,[],[f345,f18]) ).

fof(f18,axiom,
    differ(b,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_table) ).

fof(f345,plain,
    ( ~ differ(b,table)
    | ~ differ(d,table)
    | ~ differ(a,table) ),
    inference(resolution,[],[f338,f30]) ).

fof(f30,axiom,
    ! [X2] : holds(clear(table),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clear_table) ).

fof(f338,plain,
    ! [X0] :
      ( ~ holds(clear(X0),do(pickup(c),s0))
      | ~ differ(b,X0)
      | ~ differ(d,X0)
      | ~ differ(a,X0) ),
    inference(subsumption_resolution,[],[f337,f26]) ).

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).

fof(f337,plain,
    ! [X0] :
      ( ~ holds(clear(X0),do(pickup(c),s0))
      | ~ differ(b,X0)
      | ~ differ(d,X0)
      | ~ differ(a,X0)
      | ~ holds(clear(a),s0) ),
    inference(subsumption_resolution,[],[f336,f27]) ).

fof(f27,axiom,
    holds(clear(b),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).

fof(f336,plain,
    ! [X0] :
      ( ~ holds(clear(X0),do(pickup(c),s0))
      | ~ differ(b,X0)
      | ~ differ(d,X0)
      | ~ differ(a,X0)
      | ~ holds(clear(b),s0)
      | ~ holds(clear(a),s0) ),
    inference(subsumption_resolution,[],[f335,f28]) ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).

fof(f335,plain,
    ! [X0] :
      ( ~ holds(clear(X0),do(pickup(c),s0))
      | ~ holds(clear(c),s0)
      | ~ differ(b,X0)
      | ~ differ(d,X0)
      | ~ differ(a,X0)
      | ~ holds(clear(b),s0)
      | ~ holds(clear(a),s0) ),
    inference(subsumption_resolution,[],[f334,f24]) ).

fof(f24,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).

fof(f334,plain,
    ! [X0] :
      ( ~ holds(on(c,d),s0)
      | ~ holds(clear(X0),do(pickup(c),s0))
      | ~ holds(clear(c),s0)
      | ~ differ(b,X0)
      | ~ differ(d,X0)
      | ~ differ(a,X0)
      | ~ holds(clear(b),s0)
      | ~ holds(clear(a),s0) ),
    inference(resolution,[],[f328,f29]) ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).

fof(f328,plain,
    ! [X0,X1] :
      ( ~ holds(empty,X1)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ holds(clear(c),X1)
      | ~ differ(b,X0)
      | ~ differ(d,X0)
      | ~ differ(a,X0)
      | ~ holds(clear(b),X1)
      | ~ holds(clear(a),X1) ),
    inference(subsumption_resolution,[],[f326,f13]) ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).

fof(f326,plain,
    ! [X0,X1] :
      ( ~ differ(d,X0)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ holds(clear(c),X1)
      | ~ differ(b,X0)
      | ~ holds(empty,X1)
      | ~ differ(a,X0)
      | ~ holds(clear(b),X1)
      | ~ holds(clear(a),X1)
      | ~ differ(a,c) ),
    inference(resolution,[],[f324,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0] :
      ( holds(clear(X0),do(pickup(X3),X2))
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).

fof(f324,plain,
    ! [X0,X1] :
      ( ~ holds(clear(a),do(pickup(c),X0))
      | ~ differ(d,X1)
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ holds(clear(c),X0)
      | ~ differ(b,X1)
      | ~ holds(empty,X0)
      | ~ differ(a,X1)
      | ~ holds(clear(b),X0) ),
    inference(subsumption_resolution,[],[f322,f16]) ).

fof(f16,axiom,
    differ(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).

fof(f322,plain,
    ! [X0,X1] :
      ( ~ holds(empty,X0)
      | ~ differ(d,X1)
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ holds(clear(c),X0)
      | ~ differ(b,X1)
      | ~ holds(clear(a),do(pickup(c),X0))
      | ~ differ(a,X1)
      | ~ holds(clear(b),X0)
      | ~ differ(b,c) ),
    inference(resolution,[],[f316,f5]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( ~ holds(clear(b),do(pickup(c),X0))
      | ~ holds(empty,X0)
      | ~ differ(d,X1)
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ holds(clear(c),X0)
      | ~ differ(b,X1)
      | ~ holds(clear(a),do(pickup(c),X0))
      | ~ differ(a,X1) ),
    inference(resolution,[],[f311,f10]) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(clear(X3),do(putdown(X0,X1),X2))
      | ~ holds(clear(X3),X2)
      | ~ differ(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_5) ).

fof(f311,plain,
    ! [X0,X1] :
      ( ~ holds(clear(a),do(putdown(c,X1),do(pickup(c),X0)))
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ differ(d,X1)
      | ~ holds(on(c,d),X0)
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ holds(clear(b),do(pickup(c),X0))
      | ~ differ(b,X1) ),
    inference(resolution,[],[f309,f10]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ differ(d,X0)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(X0),do(pickup(c),X1)) ),
    inference(subsumption_resolution,[],[f308,f20]) ).

fof(f20,axiom,
    differ(c,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).

fof(f308,plain,
    ! [X0,X1] :
      ( ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ differ(d,X0)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ differ(c,table) ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ differ(d,X0)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ differ(c,table) ),
    inference(resolution,[],[f305,f2]) ).

fof(f2,axiom,
    ! [X2,X0] :
      ( holds(holding(X0),do(pickup(X0),X2))
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,table) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).

fof(f305,plain,
    ! [X0,X1] :
      ( ~ holds(holding(c),do(pickup(c),X1))
      | ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ differ(d,X0)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(X0),do(pickup(c),X1)) ),
    inference(subsumption_resolution,[],[f304,f20]) ).

fof(f304,plain,
    ! [X0,X1] :
      ( ~ holds(clear(X0),do(pickup(c),X1))
      | ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ differ(c,table)
      | ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ differ(d,X0)
      | ~ holds(on(c,d),X1)
      | ~ holds(holding(c),do(pickup(c),X1)) ),
    inference(duplicate_literal_removal,[],[f303]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ holds(clear(X0),do(pickup(c),X1))
      | ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ differ(c,table)
      | ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
      | ~ differ(d,X0)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ holds(holding(c),do(pickup(c),X1)) ),
    inference(resolution,[],[f301,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X0),do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_3) ).

fof(f301,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,table)
      | ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ differ(d,X1)
      | ~ holds(on(X0,d),X2) ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f299,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,table)
      | ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ differ(d,X1)
      | ~ holds(clear(X0),X2)
      | ~ holds(on(X0,d),X2)
      | ~ holds(empty,X2) ),
    inference(resolution,[],[f285,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(clear(X0),X2)
      | ~ holds(on(X0,X1),X2)
      | ~ holds(empty,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_2) ).

fof(f285,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(d),do(pickup(X0),X2))
      | ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,table)
      | ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ differ(d,X1) ),
    inference(resolution,[],[f249,f10]) ).

fof(f249,plain,
    ! [X2,X0,X1] :
      ( ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,table) ),
    inference(resolution,[],[f123,f2]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( ~ holds(holding(X0),X2)
      | ~ holds(clear(c),do(putdown(X0,X1),X2))
      | ~ holds(clear(b),do(putdown(X0,X1),X2))
      | ~ holds(clear(a),do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2)
      | ~ holds(clear(d),do(putdown(X0,X1),X2)) ),
    inference(resolution,[],[f120,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( holds(empty,do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_1) ).

fof(f120,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(a),X0) ),
    inference(subsumption_resolution,[],[f118,f14]) ).

fof(f14,axiom,
    differ(a,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_d) ).

fof(f118,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),X0)
      | ~ holds(clear(a),X0)
      | ~ differ(a,d) ),
    inference(resolution,[],[f115,f5]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ holds(clear(a),do(pickup(d),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),X0) ),
    inference(subsumption_resolution,[],[f113,f17]) ).

fof(f17,axiom,
    differ(b,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_d) ).

fof(f113,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),do(pickup(d),X0))
      | ~ holds(clear(c),X0)
      | ~ holds(clear(b),X0)
      | ~ differ(b,d) ),
    inference(resolution,[],[f111,f5]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(pickup(d),X0))
      | ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(a),do(pickup(d),X0))
      | ~ holds(clear(c),X0) ),
    inference(subsumption_resolution,[],[f109,f19]) ).

fof(f19,axiom,
    differ(c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_d) ).

fof(f109,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(b),do(pickup(d),X0))
      | ~ holds(clear(a),do(pickup(d),X0))
      | ~ holds(clear(c),X0)
      | ~ differ(c,d) ),
    inference(resolution,[],[f106,f5]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(b),do(pickup(d),X0))
      | ~ holds(clear(a),do(pickup(d),X0)) ),
    inference(subsumption_resolution,[],[f105,f13]) ).

fof(f105,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(b),do(pickup(d),X0))
      | ~ holds(clear(a),do(pickup(d),X0))
      | ~ differ(a,c) ),
    inference(resolution,[],[f102,f10]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))
      | ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(b),do(pickup(d),X0)) ),
    inference(subsumption_resolution,[],[f101,f16]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(b),do(pickup(d),X0))
      | ~ differ(b,c) ),
    inference(resolution,[],[f96,f10]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(putdown(d,c),do(pickup(d),X0)))
      | ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0) ),
    inference(subsumption_resolution,[],[f95,f21]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(putdown(d,c),do(pickup(d),X0)))
      | ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ differ(d,table) ),
    inference(duplicate_literal_removal,[],[f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(putdown(d,c),do(pickup(d),X0)))
      | ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(clear(a),do(putdown(d,c),do(pickup(d),X0)))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ differ(d,table)
      | ~ holds(clear(c),do(pickup(d),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(d),X0)
      | ~ differ(d,table) ),
    inference(resolution,[],[f91,f56]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( holds(on(X1,X0),do(putdown(X1,X0),do(pickup(X1),X2)))
      | ~ holds(clear(X0),do(pickup(X1),X2))
      | ~ holds(empty,X2)
      | ~ holds(clear(X1),X2)
      | ~ differ(X1,table) ),
    inference(resolution,[],[f7,f2]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(holding(X0),X2)
      | ~ holds(clear(X1),X2)
      | holds(on(X0,X1),do(putdown(X0,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( ~ holds(on(d,c),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
      | ~ holds(empty,X2)
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,table) ),
    inference(resolution,[],[f71,f2]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( ~ holds(holding(X0),X2)
      | ~ holds(on(d,c),do(putdown(X0,X1),X2))
      | ~ holds(clear(b),do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2)
      | ~ holds(clear(a),do(putdown(X0,X1),X2)) ),
    inference(resolution,[],[f68,f6]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ holds(on(d,c),X0)
      | ~ holds(clear(b),X0) ),
    inference(subsumption_resolution,[],[f66,f33]) ).

fof(f33,plain,
    differ(b,a),
    inference(resolution,[],[f11,f12]) ).

fof(f12,axiom,
    differ(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ~ differ(X1,X0)
      | differ(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).

fof(f66,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ holds(on(d,c),X0)
      | ~ holds(clear(b),X0)
      | ~ differ(b,a) ),
    inference(resolution,[],[f63,f5]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(pickup(a),X0))
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ holds(on(d,c),X0) ),
    inference(subsumption_resolution,[],[f62,f35]) ).

fof(f35,plain,
    differ(d,a),
    inference(resolution,[],[f11,f14]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(b),do(pickup(a),X0))
      | ~ holds(on(d,c),X0)
      | ~ differ(d,a) ),
    inference(resolution,[],[f60,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(on(X0,X1),do(pickup(X3),X2))
      | ~ holds(on(X0,X1),X2)
      | ~ differ(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_3) ).

fof(f60,plain,
    ! [X0] :
      ( ~ holds(on(d,c),do(pickup(a),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(b),do(pickup(a),X0)) ),
    inference(subsumption_resolution,[],[f58,f15]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ holds(clear(b),do(pickup(a),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ differ(a,table)
      | ~ holds(on(d,c),do(pickup(a),X0)) ),
    inference(resolution,[],[f56,f53]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ holds(on(a,b),do(putdown(X0,X1),X2))
      | ~ holds(on(d,c),X2) ),
    inference(resolution,[],[f44,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( holds(on(X0,X1),do(putdown(X3,X4),X2))
      | ~ holds(on(X0,X1),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_4) ).

fof(f44,plain,
    ! [X0] :
      ( ~ holds(on(d,c),X0)
      | ~ holds(on(a,b),X0) ),
    inference(resolution,[],[f1,f31]) ).

fof(f31,axiom,
    ! [X2] : ~ holds(and(on(a,b),on(d,c)),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_AB_DC) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( holds(and(X0,X1),X2)
      | ~ holds(X0,X2)
      | ~ holds(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PLA018-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n016.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   : Tue Apr 30 02:54:40 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (28546)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (28547)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  % (28551)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  % (28548)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (28550)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (28552)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (28549)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.37  % (28553)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  Detected minimum model sizes of [1,1,1,1]
% 0.20/0.38  Detected maximum model sizes of [max,5,max,max]
% 0.20/0.38  Detected minimum model sizes of [1,1,1,1]
% 0.20/0.38  Detected maximum model sizes of [max,5,max,max]
% 0.20/0.38  TRYING [1,1,1,1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [1,1,1,1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [2,1,1,1]
% 0.20/0.38  TRYING [2,1,1,1]
% 0.20/0.38  TRYING [3,1,1,1]
% 0.20/0.38  TRYING [3,1,1,1]
% 0.20/0.38  TRYING [2,2,1,1]
% 0.20/0.38  TRYING [2,2,1,1]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [3,2,1,1]
% 0.20/0.38  TRYING [3,2,1,1]
% 0.20/0.39  TRYING [2,2,2,1]
% 0.20/0.39  TRYING [2,2,2,1]
% 0.20/0.39  TRYING [2,2,1,2]
% 0.20/0.39  TRYING [2,2,1,2]
% 0.20/0.39  TRYING [4,1,1,1]
% 0.20/0.39  TRYING [4,1,1,1]
% 0.20/0.40  TRYING [3,2,2,1]
% 0.20/0.40  TRYING [3,2,2,1]
% 0.20/0.40  % (28552)First to succeed.
% 0.20/0.40  TRYING [2,2,2,2]
% 0.20/0.40  TRYING [4]
% 0.20/0.40  TRYING [2,2,2,2]
% 0.20/0.40  % (28552)Refutation found. Thanks to Tanya!
% 0.20/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40  % (28552)------------------------------
% 0.20/0.40  % (28552)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.40  % (28552)Termination reason: Refutation
% 0.20/0.40  
% 0.20/0.40  % (28552)Memory used [KB]: 946
% 0.20/0.40  % (28552)Time elapsed: 0.030 s
% 0.20/0.40  % (28552)Instructions burned: 59 (million)
% 0.20/0.40  % (28552)------------------------------
% 0.20/0.40  % (28552)------------------------------
% 0.20/0.40  % (28546)Success in time 0.046 s
%------------------------------------------------------------------------------