TSTP Solution File: PLA017-10 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PLA017-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.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 77.36s 11.37s
% Output   : Refutation 77.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (  28 unt;   0 def)
%            Number of atoms       :   28 (  27 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   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   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f482831,plain,
    $false,
    inference(subsumption_resolution,[],[f482829,f32]) ).

fof(f32,axiom,
    ! [X4] : true != holds(on(a,c),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_AC) ).

fof(f482829,plain,
    true = holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),
    inference(superposition,[],[f482656,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

fof(f482656,plain,
    true = ifeq(true,true,holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),true),
    inference(forward_demodulation,[],[f482650,f1]) ).

fof(f482650,plain,
    true = ifeq(true,true,ifeq(true,true,holds(on(a,c),do(putdown(a,c),do(pickup(a),s0))),true),true),
    inference(superposition,[],[f5546,f2172]) ).

fof(f2172,plain,
    true = holds(clear(c),do(pickup(a),s0)),
    inference(superposition,[],[f2135,f1]) ).

fof(f2135,plain,
    true = ifeq(true,true,holds(clear(c),do(pickup(a),s0)),true),
    inference(superposition,[],[f865,f67]) ).

fof(f67,plain,
    true = differ(c,a),
    inference(superposition,[],[f35,f1]) ).

fof(f35,plain,
    true = ifeq(true,true,differ(c,a),true),
    inference(superposition,[],[f12,f14]) ).

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

fof(f12,axiom,
    ! [X3,X5] : true = ifeq(differ(X3,X5),true,differ(X5,X3),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).

fof(f865,plain,
    ! [X0] : true = ifeq(differ(c,X0),true,holds(clear(c),do(pickup(X0),s0)),true),
    inference(forward_demodulation,[],[f848,f1]) ).

fof(f848,plain,
    ! [X0] : true = ifeq(differ(c,X0),true,ifeq(true,true,holds(clear(c),do(pickup(X0),s0)),true),true),
    inference(superposition,[],[f6,f29]) ).

fof(f29,axiom,
    true = holds(clear(c),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).

fof(f6,axiom,
    ! [X6,X4,X5] : true = ifeq(differ(X5,X6),true,ifeq(holds(clear(X5),X4),true,holds(clear(X5),do(pickup(X6),X4)),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).

fof(f5546,plain,
    ! [X0] : true = 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),
    inference(superposition,[],[f8,f5542]) ).

fof(f5542,plain,
    true = holds(holding(a),do(pickup(a),s0)),
    inference(superposition,[],[f5484,f1]) ).

fof(f5484,plain,
    true = ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),
    inference(forward_demodulation,[],[f5483,f16]) ).

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

fof(f5483,plain,
    true = ifeq(differ(a,table),true,holds(holding(a),do(pickup(a),s0)),true),
    inference(forward_demodulation,[],[f5482,f1]) ).

fof(f5482,plain,
    true = ifeq(differ(a,table),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true),
    inference(forward_demodulation,[],[f5481,f30]) ).

fof(f30,axiom,
    true = holds(empty,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).

fof(f5481,plain,
    true = ifeq(differ(a,table),true,ifeq(holds(empty,s0),true,holds(holding(a),do(pickup(a),s0)),true),true),
    inference(forward_demodulation,[],[f5452,f1]) ).

fof(f5452,plain,
    true = ifeq(differ(a,table),true,ifeq(holds(empty,s0),true,ifeq(true,true,holds(holding(a),do(pickup(a),s0)),true),true),true),
    inference(superposition,[],[f3,f27]) ).

fof(f27,axiom,
    true = holds(clear(a),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).

fof(f3,axiom,
    ! [X4,X5] : true = ifeq(differ(X5,table),true,ifeq(holds(empty,X4),true,ifeq(holds(clear(X5),X4),true,holds(holding(X5),do(pickup(X5),X4)),true),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).

fof(f8,axiom,
    ! [X3,X4,X5] : true = ifeq(holds(holding(X5),X4),true,ifeq(holds(clear(X3),X4),true,holds(on(X5,X3),do(putdown(X5,X3),X4)),true),true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : PLA017-10 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n005.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 02:16:11 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (3812)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (3815)WARNING: value z3 for option sas not known
% 0.14/0.37  % (3815)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (3813)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (3814)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (3816)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (3817)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (3819)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38  % (3818)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [2]
% 0.14/0.40  TRYING [1]
% 0.14/0.40  TRYING [2]
% 0.14/0.41  TRYING [3]
% 0.20/0.45  TRYING [3]
% 0.20/0.49  TRYING [4]
% 2.16/0.70  TRYING [5]
% 4.76/1.03  TRYING [4]
% 6.24/1.28  TRYING [6]
% 7.81/1.48  TRYING [1]
% 7.81/1.48  TRYING [2]
% 8.03/1.49  TRYING [3]
% 8.34/1.55  TRYING [4]
% 9.39/1.75  TRYING [5]
% 14.25/2.44  TRYING [7]
% 15.28/2.57  TRYING [6]
% 28.14/4.41  TRYING [7]
% 31.04/4.77  TRYING [8]
% 57.89/8.60  TRYING [8]
% 63.01/9.36  TRYING [9]
% 76.78/11.33  % (3819)First to succeed.
% 77.36/11.37  % (3819)Refutation found. Thanks to Tanya!
% 77.36/11.37  % SZS status Unsatisfiable for theBenchmark
% 77.36/11.37  % SZS output start Proof for theBenchmark
% See solution above
% 77.36/11.37  % (3819)------------------------------
% 77.36/11.37  % (3819)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 77.36/11.37  % (3819)Termination reason: Refutation
% 77.36/11.37  
% 77.36/11.37  % (3819)Memory used [KB]: 375862
% 77.36/11.37  % (3819)Time elapsed: 10.953 s
% 77.36/11.37  % (3819)Instructions burned: 40968 (million)
% 77.36/11.37  % (3819)------------------------------
% 77.36/11.37  % (3819)------------------------------
% 77.36/11.37  % (3812)Success in time 10.885 s
%------------------------------------------------------------------------------