TSTP Solution File: HWV005-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HWV005-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 : Sun May  5 06:32:49 EDT 2024

% Result   : Unsatisfiable 0.15s 0.49s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   63 (  31 unt;   0 def)
%            Number of atoms       :  110 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   94 (  47   ~;  47   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  12 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f178,plain,
    $false,
    inference(subsumption_resolution,[],[f174,f4]) ).

fof(f4,axiom,
    ~ equal_value(n0,n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_value1) ).

fof(f174,plain,
    equal_value(n0,n1),
    inference(resolution,[],[f170,f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ value(out(n1,and1(h)),X0)
      | equal_value(n0,X0) ),
    inference(resolution,[],[f101,f3]) ).

fof(f3,axiom,
    ! [X3,X4,X5] :
      ( ~ value(X3,X4)
      | ~ value(X3,X5)
      | equal_value(X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_value) ).

fof(f101,plain,
    value(out(n1,and1(h)),n0),
    inference(resolution,[],[f100,f49]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ connection(out(s,h),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f1,f38]) ).

fof(f38,axiom,
    value(out(s,h),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_0) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ value(X0,X2)
      | ~ connection(X0,X1)
      | value(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation1) ).

fof(f100,plain,
    connection(out(s,h),out(n1,and1(h))),
    inference(resolution,[],[f30,f35]) ).

fof(f35,axiom,
    type(h,halfadder),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_isa_halfadder) ).

fof(f30,axiom,
    ! [X8] :
      ( ~ type(X8,halfadder)
      | connection(out(s,X8),out(n1,and1(X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).

fof(f170,plain,
    value(out(n1,and1(h)),n1),
    inference(subsumption_resolution,[],[f169,f139]) ).

fof(f139,plain,
    value(in(n1,and1(h)),n1),
    inference(resolution,[],[f137,f115]) ).

fof(f115,plain,
    connection(out(n1,or1(h)),in(n1,and1(h))),
    inference(resolution,[],[f32,f35]) ).

fof(f32,axiom,
    ! [X8] :
      ( ~ type(X8,halfadder)
      | connection(out(n1,or1(X8)),in(n1,and1(X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).

fof(f137,plain,
    ! [X0] :
      ( ~ connection(out(n1,or1(h)),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f134,f1]) ).

fof(f134,plain,
    value(out(n1,or1(h)),n1),
    inference(resolution,[],[f133,f75]) ).

fof(f75,plain,
    value(in(n1,or1(h)),n1),
    inference(resolution,[],[f73,f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ connection(in(n1,h),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f1,f36]) ).

fof(f36,axiom,
    value(in(n1,h),n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).

fof(f73,plain,
    connection(in(n1,h),in(n1,or1(h))),
    inference(resolution,[],[f26,f35]) ).

fof(f26,axiom,
    ! [X8] :
      ( ~ type(X8,halfadder)
      | connection(in(n1,X8),in(n1,or1(X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).

fof(f133,plain,
    ! [X0] :
      ( ~ value(in(X0,or1(h)),n1)
      | value(out(n1,or1(h)),n1) ),
    inference(subsumption_resolution,[],[f132,f70]) ).

fof(f70,plain,
    mode(or1(h),ok),
    inference(subsumption_resolution,[],[f66,f42]) ).

fof(f42,axiom,
    ~ mode(or1(h),abnormal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1) ).

fof(f66,plain,
    ( mode(or1(h),abnormal)
    | mode(or1(h),ok) ),
    inference(resolution,[],[f7,f46]) ).

fof(f46,plain,
    type(or1(h),or),
    inference(resolution,[],[f25,f35]) ).

fof(f25,axiom,
    ! [X8] :
      ( ~ type(X8,halfadder)
      | type(or1(X8),or) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_or1) ).

fof(f7,axiom,
    ! [X6,X7] :
      ( ~ type(X6,X7)
      | mode(X6,abnormal)
      | mode(X6,ok) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ok_or_abnormal) ).

fof(f132,plain,
    ! [X0] :
      ( ~ mode(or1(h),ok)
      | ~ value(in(X0,or1(h)),n1)
      | value(out(n1,or1(h)),n1) ),
    inference(resolution,[],[f13,f46]) ).

fof(f13,axiom,
    ! [X6,X7] :
      ( ~ type(X6,or)
      | ~ mode(X6,ok)
      | ~ value(in(X7,X6),n1)
      | value(out(n1,X6),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1x_1) ).

fof(f169,plain,
    ( ~ value(in(n1,and1(h)),n1)
    | value(out(n1,and1(h)),n1) ),
    inference(subsumption_resolution,[],[f168,f155]) ).

fof(f155,plain,
    value(in(n2,and1(h)),n1),
    inference(resolution,[],[f153,f123]) ).

fof(f123,plain,
    connection(out(n1,not1(h)),in(n2,and1(h))),
    inference(resolution,[],[f34,f35]) ).

fof(f34,axiom,
    ! [X8] :
      ( ~ type(X8,halfadder)
      | connection(out(n1,not1(X8)),in(n2,and1(X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).

fof(f153,plain,
    ! [X0] :
      ( ~ connection(out(n1,not1(h)),X0)
      | value(X0,n1) ),
    inference(resolution,[],[f150,f1]) ).

fof(f150,plain,
    value(out(n1,not1(h)),n1),
    inference(subsumption_resolution,[],[f149,f117]) ).

fof(f117,plain,
    value(in(n1,not1(h)),n0),
    inference(resolution,[],[f116,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ connection(out(n1,and2(h)),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f109,f1]) ).

fof(f109,plain,
    value(out(n1,and2(h)),n0),
    inference(resolution,[],[f108,f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ connection(out(c,h),X0)
      | value(X0,n0) ),
    inference(resolution,[],[f1,f39]) ).

fof(f39,axiom,
    value(out(c,h),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).

fof(f108,plain,
    connection(out(c,h),out(n1,and2(h))),
    inference(resolution,[],[f31,f35]) ).

fof(f31,axiom,
    ! [X8] :
      ( ~ type(X8,halfadder)
      | connection(out(c,X8),out(n1,and2(X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).

fof(f116,plain,
    connection(out(n1,and2(h)),in(n1,not1(h))),
    inference(resolution,[],[f33,f35]) ).

fof(f33,axiom,
    ! [X8] :
      ( ~ type(X8,halfadder)
      | connection(out(n1,and2(X8)),in(n1,not1(X8))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).

fof(f149,plain,
    ( ~ value(in(n1,not1(h)),n0)
    | value(out(n1,not1(h)),n1) ),
    inference(subsumption_resolution,[],[f148,f69]) ).

fof(f69,plain,
    mode(not1(h),ok),
    inference(subsumption_resolution,[],[f65,f41]) ).

fof(f41,axiom,
    ~ mode(not1(h),abnormal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1) ).

fof(f65,plain,
    ( mode(not1(h),abnormal)
    | mode(not1(h),ok) ),
    inference(resolution,[],[f7,f45]) ).

fof(f45,plain,
    type(not1(h),not),
    inference(resolution,[],[f24,f35]) ).

fof(f24,axiom,
    ! [X8] :
      ( ~ type(X8,halfadder)
      | type(not1(X8),not) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_not1) ).

fof(f148,plain,
    ( ~ mode(not1(h),ok)
    | ~ value(in(n1,not1(h)),n0)
    | value(out(n1,not1(h)),n1) ),
    inference(resolution,[],[f18,f45]) ).

fof(f18,axiom,
    ! [X6] :
      ( ~ type(X6,not)
      | ~ mode(X6,ok)
      | ~ value(in(n1,X6),n0)
      | value(out(n1,X6),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_0_1_fw) ).

fof(f168,plain,
    ( ~ value(in(n2,and1(h)),n1)
    | ~ value(in(n1,and1(h)),n1)
    | value(out(n1,and1(h)),n1) ),
    inference(subsumption_resolution,[],[f166,f68]) ).

fof(f68,plain,
    mode(and1(h),ok),
    inference(subsumption_resolution,[],[f63,f40]) ).

fof(f40,axiom,
    ~ mode(and1(h),abnormal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1) ).

fof(f63,plain,
    ( mode(and1(h),abnormal)
    | mode(and1(h),ok) ),
    inference(resolution,[],[f7,f43]) ).

fof(f43,plain,
    type(and1(h),and),
    inference(resolution,[],[f22,f35]) ).

fof(f22,axiom,
    ! [X8] :
      ( ~ type(X8,halfadder)
      | type(and1(X8),and) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and1) ).

fof(f166,plain,
    ( ~ mode(and1(h),ok)
    | ~ value(in(n2,and1(h)),n1)
    | ~ value(in(n1,and1(h)),n1)
    | value(out(n1,and1(h)),n1) ),
    inference(resolution,[],[f9,f43]) ).

fof(f9,axiom,
    ! [X6] :
      ( ~ type(X6,and)
      | ~ mode(X6,ok)
      | ~ value(in(n2,X6),n1)
      | ~ value(in(n1,X6),n1)
      | value(out(n1,X6),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_11_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.23  % Problem    : HWV005-1 : TPTP v8.1.2. Released v2.1.0.
% 0.08/0.24  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.46  % Computer : n012.cluster.edu
% 0.10/0.46  % Model    : x86_64 x86_64
% 0.10/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.46  % Memory   : 8042.1875MB
% 0.10/0.46  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.46  % CPULimit   : 300
% 0.10/0.46  % WCLimit    : 300
% 0.10/0.46  % DateTime   : Fri May  3 21:30:38 EDT 2024
% 0.10/0.46  % CPUTime    : 
% 0.10/0.47  % (21507)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.48  % (21513)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.48  % (21512)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.48  % (21511)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.48  % (21509)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.48  % (21508)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.48  % (21514)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)
% 0.15/0.48  % (21510)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)
% 0.15/0.49  % (21512)First to succeed.
% 0.15/0.49  % (21512)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21507"
% 0.15/0.49  TRYING [1]
% 0.15/0.49  % (21512)Refutation found. Thanks to Tanya!
% 0.15/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49  % (21512)------------------------------
% 0.15/0.49  % (21512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.49  % (21512)Termination reason: Refutation
% 0.15/0.49  
% 0.15/0.49  % (21512)Memory used [KB]: 871
% 0.15/0.49  % (21512)Time elapsed: 0.006 s
% 0.15/0.49  % (21512)Instructions burned: 9 (million)
% 0.15/0.49  % (21507)Success in time 0.022 s
%------------------------------------------------------------------------------