TSTP Solution File: HWV005-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HWV005-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.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 0.54s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   61 (  30 unt;   0 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   81 (  40   ~;  41   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-1 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f150,plain,
    $false,
    inference(subsumption_resolution,[],[f149,f111]) ).

fof(f111,plain,
    zero(out1(and1(h))),
    inference(subsumption_resolution,[],[f110,f44]) ).

fof(f44,axiom,
    zero(outs(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_0) ).

fof(f110,plain,
    ( zero(out1(and1(h)))
    | ~ zero(outs(h)) ),
    inference(resolution,[],[f106,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ connection(X0,X1)
      | zero(X1)
      | ~ zero(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_zero1) ).

fof(f106,plain,
    connection(outs(h),out1(and1(h))),
    inference(resolution,[],[f36,f41]) ).

fof(f41,axiom,
    halfadder(h),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_isa_halfadder) ).

fof(f36,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(outs(X4),out1(and1(X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).

fof(f149,plain,
    ~ zero(out1(and1(h))),
    inference(resolution,[],[f145,f5]) ).

fof(f5,axiom,
    ! [X2] :
      ( ~ one(X2)
      | ~ zero(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_value) ).

fof(f145,plain,
    one(out1(and1(h))),
    inference(subsumption_resolution,[],[f144,f124]) ).

fof(f124,plain,
    one(in1(and1(h))),
    inference(subsumption_resolution,[],[f121,f83]) ).

fof(f83,plain,
    one(out1(or1(h))),
    inference(resolution,[],[f82,f68]) ).

fof(f68,plain,
    ( ~ one(in1(or1(h)))
    | one(out1(or1(h))) ),
    inference(resolution,[],[f14,f58]) ).

fof(f58,plain,
    or_ok(or1(h)),
    inference(subsumption_resolution,[],[f57,f48]) ).

fof(f48,axiom,
    ~ abnormal(or1(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1) ).

fof(f57,plain,
    ( or_ok(or1(h))
    | abnormal(or1(h)) ),
    inference(resolution,[],[f21,f53]) ).

fof(f53,plain,
    logic_or(or1(h)),
    inference(resolution,[],[f31,f41]) ).

fof(f31,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | logic_or(or1(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_or1) ).

fof(f21,axiom,
    ! [X3] :
      ( ~ logic_or(X3)
      | or_ok(X3)
      | abnormal(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_ok_or_abnormal) ).

fof(f14,axiom,
    ! [X3] :
      ( ~ or_ok(X3)
      | ~ one(in1(X3))
      | one(out1(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1x_1) ).

fof(f82,plain,
    one(in1(or1(h))),
    inference(subsumption_resolution,[],[f79,f42]) ).

fof(f42,axiom,
    one(in1(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).

fof(f79,plain,
    ( one(in1(or1(h)))
    | ~ one(in1(h)) ),
    inference(resolution,[],[f76,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ connection(X0,X1)
      | one(X1)
      | ~ one(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_one1) ).

fof(f76,plain,
    connection(in1(h),in1(or1(h))),
    inference(resolution,[],[f32,f41]) ).

fof(f32,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(in1(X4),in1(or1(X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).

fof(f121,plain,
    ( one(in1(and1(h)))
    | ~ one(out1(or1(h))) ),
    inference(resolution,[],[f118,f2]) ).

fof(f118,plain,
    connection(out1(or1(h)),in1(and1(h))),
    inference(resolution,[],[f38,f41]) ).

fof(f38,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(out1(or1(X4)),in1(and1(X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).

fof(f144,plain,
    ( ~ one(in1(and1(h)))
    | one(out1(and1(h))) ),
    inference(subsumption_resolution,[],[f143,f141]) ).

fof(f141,plain,
    one(in2(and1(h))),
    inference(subsumption_resolution,[],[f138,f132]) ).

fof(f132,plain,
    one(out1(not1(h))),
    inference(resolution,[],[f131,f72]) ).

fof(f72,plain,
    ( ~ zero(in1(not1(h)))
    | one(out1(not1(h))) ),
    inference(resolution,[],[f22,f61]) ).

fof(f61,plain,
    not_ok(not1(h)),
    inference(subsumption_resolution,[],[f60,f47]) ).

fof(f47,axiom,
    ~ abnormal(not1(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1) ).

fof(f60,plain,
    ( not_ok(not1(h))
    | abnormal(not1(h)) ),
    inference(resolution,[],[f27,f52]) ).

fof(f52,plain,
    logic_not(not1(h)),
    inference(resolution,[],[f30,f41]) ).

fof(f30,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | logic_not(not1(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_not1) ).

fof(f27,axiom,
    ! [X3] :
      ( ~ logic_not(X3)
      | not_ok(X3)
      | abnormal(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_ok_or_abnormal) ).

fof(f22,axiom,
    ! [X3] :
      ( ~ not_ok(X3)
      | ~ zero(in1(X3))
      | one(out1(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_0_1_fw) ).

fof(f131,plain,
    zero(in1(not1(h))),
    inference(subsumption_resolution,[],[f130,f117]) ).

fof(f117,plain,
    zero(out1(and2(h))),
    inference(subsumption_resolution,[],[f116,f45]) ).

fof(f45,axiom,
    zero(outc(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).

fof(f116,plain,
    ( zero(out1(and2(h)))
    | ~ zero(outc(h)) ),
    inference(resolution,[],[f112,f1]) ).

fof(f112,plain,
    connection(outc(h),out1(and2(h))),
    inference(resolution,[],[f37,f41]) ).

fof(f37,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(outc(X4),out1(and2(X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).

fof(f130,plain,
    ( zero(in1(not1(h)))
    | ~ zero(out1(and2(h))) ),
    inference(resolution,[],[f126,f1]) ).

fof(f126,plain,
    connection(out1(and2(h)),in1(not1(h))),
    inference(resolution,[],[f39,f41]) ).

fof(f39,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(out1(and2(X4)),in1(not1(X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).

fof(f138,plain,
    ( one(in2(and1(h)))
    | ~ one(out1(not1(h))) ),
    inference(resolution,[],[f135,f2]) ).

fof(f135,plain,
    connection(out1(not1(h)),in2(and1(h))),
    inference(resolution,[],[f40,f41]) ).

fof(f40,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(out1(not1(X4)),in2(and1(X4))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).

fof(f143,plain,
    ( ~ one(in2(and1(h)))
    | ~ one(in1(and1(h)))
    | one(out1(and1(h))) ),
    inference(resolution,[],[f8,f56]) ).

fof(f56,plain,
    and_ok(and1(h)),
    inference(subsumption_resolution,[],[f54,f46]) ).

fof(f46,axiom,
    ~ abnormal(and1(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1) ).

fof(f54,plain,
    ( and_ok(and1(h))
    | abnormal(and1(h)) ),
    inference(resolution,[],[f13,f50]) ).

fof(f50,plain,
    logic_and(and1(h)),
    inference(resolution,[],[f28,f41]) ).

fof(f28,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | logic_and(and1(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and1) ).

fof(f13,axiom,
    ! [X3] :
      ( ~ logic_and(X3)
      | and_ok(X3)
      | abnormal(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_ok_or_abnormal) ).

fof(f8,axiom,
    ! [X3] :
      ( ~ and_ok(X3)
      | ~ one(in2(X3))
      | ~ one(in1(X3))
      | one(out1(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_11_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.27  % Problem    : HWV005-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.14/0.29  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.52  % Computer : n004.cluster.edu
% 0.15/0.52  % Model    : x86_64 x86_64
% 0.15/0.52  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.52  % Memory   : 8042.1875MB
% 0.15/0.52  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.52  % CPULimit   : 300
% 0.15/0.52  % WCLimit    : 300
% 0.15/0.52  % DateTime   : Fri May  3 21:39:08 EDT 2024
% 0.15/0.52  % CPUTime    : 
% 0.15/0.52  % (19843)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.54  % (19850)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)
% 0.15/0.54  % (19849)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.54  % (19851)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.54  % (19848)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.54  % (19853)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.54  % (19852)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.54  % (19854)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)
% 0.15/0.54  TRYING [1]
% 0.15/0.54  TRYING [1]
% 0.15/0.54  TRYING [2]
% 0.15/0.54  TRYING [1]
% 0.15/0.54  TRYING [1]
% 0.15/0.54  TRYING [2]
% 0.15/0.54  % (19852)First to succeed.
% 0.15/0.54  TRYING [2]
% 0.15/0.54  TRYING [2]
% 0.15/0.54  % (19852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19843"
% 0.15/0.54  % (19853)Also succeeded, but the first one will report.
% 0.15/0.54  TRYING [3]
% 0.15/0.54  TRYING [3]
% 0.15/0.54  TRYING [3]
% 0.15/0.54  TRYING [3]
% 0.15/0.54  % (19852)Refutation found. Thanks to Tanya!
% 0.15/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.55  % (19852)------------------------------
% 0.15/0.55  % (19852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.55  % (19852)Termination reason: Refutation
% 0.15/0.55  
% 0.15/0.55  % (19852)Memory used [KB]: 801
% 0.15/0.55  % (19852)Time elapsed: 0.006 s
% 0.15/0.55  % (19852)Instructions burned: 6 (million)
% 0.15/0.55  % (19843)Success in time 0.006 s
%------------------------------------------------------------------------------