TSTP Solution File: SWC025-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC025-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 18:41:16 EDT 2022

% Result   : Unsatisfiable 1.55s 0.59s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   43 (   9 unt;   0 def)
%            Number of atoms       :  108 (  40 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  124 (  59   ~;  65   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f563,plain,
    $false,
    inference(subsumption_resolution,[],[f562,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f562,plain,
    ~ ssList(sk4),
    inference(subsumption_resolution,[],[f561,f545]) ).

fof(f545,plain,
    nil != sk4,
    inference(trivial_inequality_removal,[],[f538]) ).

fof(f538,plain,
    ( nil != nil
    | nil != sk4 ),
    inference(backward_demodulation,[],[f201,f533]) ).

fof(f533,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f532,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f532,plain,
    ( nil = sk3
    | ~ ssList(sk3) ),
    inference(duplicate_literal_removal,[],[f531]) ).

fof(f531,plain,
    ( nil = sk3
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(resolution,[],[f530,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).

fof(f530,plain,
    ( ~ ssList(tl(sk3))
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f529,f188]) ).

fof(f529,plain,
    ( nil = sk3
    | ~ ssList(tl(sk3))
    | ~ ssList(sk3) ),
    inference(duplicate_literal_removal,[],[f528]) ).

fof(f528,plain,
    ( nil = sk3
    | nil = sk3
    | ~ ssList(tl(sk3))
    | ~ ssList(sk3) ),
    inference(resolution,[],[f527,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).

fof(f527,plain,
    ( ~ ssItem(hd(sk3))
    | nil = sk3
    | ~ ssList(tl(sk3)) ),
    inference(subsumption_resolution,[],[f526,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f526,plain,
    ( ~ ssList(tl(sk3))
    | nil = sk3
    | memberP(nil,hd(sk3))
    | ~ ssItem(hd(sk3)) ),
    inference(duplicate_literal_removal,[],[f525]) ).

fof(f525,plain,
    ( ~ ssItem(hd(sk3))
    | nil = sk3
    | nil = sk3
    | ~ ssList(tl(sk3))
    | memberP(nil,hd(sk3))
    | ~ ssItem(hd(sk3)) ),
    inference(resolution,[],[f522,f237]) ).

fof(f237,plain,
    ! [X0] :
      ( ~ memberP(sk3,X0)
      | memberP(nil,X0)
      | nil = sk3
      | ~ ssItem(X0) ),
    inference(superposition,[],[f193,f202]) ).

fof(f202,plain,
    ( nil = sk4
    | nil = sk3 ),
    inference(definition_unfolding,[],[f195,f190,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f195,axiom,
    ( nil = sk2
    | nil = sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f193,axiom,
    ! [X6] :
      ( memberP(sk4,X6)
      | ~ memberP(sk3,X6)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f522,plain,
    ( memberP(sk3,hd(sk3))
    | ~ ssItem(hd(sk3))
    | nil = sk3
    | ~ ssList(tl(sk3)) ),
    inference(superposition,[],[f232,f520]) ).

fof(f520,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | nil = sk3 ),
    inference(resolution,[],[f104,f188]) ).

fof(f104,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f232,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f226]) ).

fof(f226,plain,
    ! [X2,X1] :
      ( ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1)
      | memberP(cons(X1,X2),X1) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssItem(X0)
      | memberP(cons(X1,X2),X0)
      | X0 != X1
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f201,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f198,f191,f190]) ).

fof(f198,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f561,plain,
    ( nil = sk4
    | ~ ssList(sk4) ),
    inference(resolution,[],[f560,f75]) ).

fof(f560,plain,
    ~ ssList(tl(sk4)),
    inference(subsumption_resolution,[],[f559,f545]) ).

fof(f559,plain,
    ( ~ ssList(tl(sk4))
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f558,f189]) ).

fof(f558,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssList(sk4)
    | nil = sk4 ),
    inference(resolution,[],[f557,f76]) ).

fof(f557,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(tl(sk4)) ),
    inference(subsumption_resolution,[],[f556,f547]) ).

fof(f547,plain,
    ! [X6] :
      ( ~ memberP(sk4,X6)
      | ~ ssItem(X6) ),
    inference(subsumption_resolution,[],[f537,f71]) ).

fof(f537,plain,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk4,X6)
      | memberP(nil,X6) ),
    inference(backward_demodulation,[],[f194,f533]) ).

fof(f194,axiom,
    ! [X6] :
      ( ~ memberP(sk4,X6)
      | memberP(sk3,X6)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f556,plain,
    ( memberP(sk4,hd(sk4))
    | ~ ssItem(hd(sk4))
    | ~ ssList(tl(sk4)) ),
    inference(subsumption_resolution,[],[f524,f545]) ).

fof(f524,plain,
    ( ~ ssList(tl(sk4))
    | nil = sk4
    | ~ ssItem(hd(sk4))
    | memberP(sk4,hd(sk4)) ),
    inference(superposition,[],[f232,f521]) ).

fof(f521,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | nil = sk4 ),
    inference(resolution,[],[f104,f189]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC025-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 17:58:03 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (1835)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50  % (1835)Instruction limit reached!
% 0.20/0.50  % (1835)------------------------------
% 0.20/0.50  % (1835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (1824)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51  % (1845)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (1835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (1835)Termination reason: Unknown
% 0.20/0.51  % (1835)Termination phase: Property scanning
% 0.20/0.51  
% 0.20/0.51  % (1835)Memory used [KB]: 1151
% 0.20/0.51  % (1835)Time elapsed: 0.003 s
% 0.20/0.51  % (1835)Instructions burned: 2 (million)
% 0.20/0.51  % (1835)------------------------------
% 0.20/0.51  % (1835)------------------------------
% 0.20/0.51  % (1830)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (1829)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (1857)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (1837)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (1833)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (1849)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53  % (1828)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (1856)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  % (1838)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (1852)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54  % (1826)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (1831)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54  % (1844)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54  % (1836)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (1839)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54  TRYING [1]
% 1.38/0.54  % (1853)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.38/0.54  % (1843)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.38/0.54  % (1841)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.38/0.54  % (1834)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.55  TRYING [2]
% 1.38/0.55  % (1854)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.38/0.55  % (1847)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.55  TRYING [1]
% 1.38/0.55  TRYING [2]
% 1.38/0.55  % (1858)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.38/0.56  % (1848)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.56  % (1850)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.38/0.56  % (1846)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.55/0.56  % (1855)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.55/0.56  TRYING [3]
% 1.55/0.56  % (1851)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.55/0.56  % (1834)Instruction limit reached!
% 1.55/0.56  % (1834)------------------------------
% 1.55/0.56  % (1834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56  % (1834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (1834)Termination reason: Unknown
% 1.55/0.56  % (1834)Termination phase: Saturation
% 1.55/0.56  
% 1.55/0.56  % (1834)Memory used [KB]: 5756
% 1.55/0.56  % (1834)Time elapsed: 0.122 s
% 1.55/0.56  % (1834)Instructions burned: 8 (million)
% 1.55/0.56  % (1834)------------------------------
% 1.55/0.56  % (1834)------------------------------
% 1.55/0.56  % (1826)Refutation not found, incomplete strategy% (1826)------------------------------
% 1.55/0.56  % (1826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56  % (1826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (1826)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.56  
% 1.55/0.56  % (1826)Memory used [KB]: 5884
% 1.55/0.56  % (1826)Time elapsed: 0.163 s
% 1.55/0.56  % (1826)Instructions burned: 12 (million)
% 1.55/0.56  % (1826)------------------------------
% 1.55/0.56  % (1826)------------------------------
% 1.55/0.59  % (1851)First to succeed.
% 1.55/0.59  % (1851)Refutation found. Thanks to Tanya!
% 1.55/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.55/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.59  % (1851)------------------------------
% 1.55/0.59  % (1851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59  % (1851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59  % (1851)Termination reason: Refutation
% 1.55/0.59  
% 1.55/0.59  % (1851)Memory used [KB]: 1407
% 1.55/0.59  % (1851)Time elapsed: 0.195 s
% 1.55/0.59  % (1851)Instructions burned: 22 (million)
% 1.55/0.59  % (1851)------------------------------
% 1.55/0.59  % (1851)------------------------------
% 1.55/0.59  % (1823)Success in time 0.24 s
%------------------------------------------------------------------------------