TSTP Solution File: SYN707-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN707-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n014.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 19:28:10 EDT 2022

% Result   : Unsatisfiable 1.38s 0.53s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   32 (  10 unt;   0 def)
%            Number of atoms       :   68 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   76 (  40   ~;  34   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :   13 (   4 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f126,plain,
    $false,
    inference(avatar_sat_refutation,[],[f105,f116,f124]) ).

fof(f124,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f123]) ).

fof(f123,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f120,f66]) ).

fof(f66,axiom,
    p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_66) ).

fof(f120,plain,
    ( ~ p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
    | spl0_1 ),
    inference(resolution,[],[f117,f13]) ).

fof(f13,axiom,
    p37(f15(c56),c48),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_13) ).

fof(f117,plain,
    ( ! [X0] :
        ( ~ p37(f15(c56),X0)
        | ~ p10(X0,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) )
    | spl0_1 ),
    inference(resolution,[],[f107,f3]) ).

fof(f3,axiom,
    ! [X0] : p10(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_3) ).

fof(f107,plain,
    ( ! [X2,X3] :
        ( ~ p10(X2,f15(c56))
        | ~ p10(X3,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
        | ~ p37(X2,X3) )
    | spl0_1 ),
    inference(resolution,[],[f100,f51]) ).

fof(f51,axiom,
    ! [X80,X78,X81,X79] :
      ( p37(X78,X79)
      | ~ p37(X81,X80)
      | ~ p10(X81,X78)
      | ~ p10(X80,X79) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p37_51) ).

fof(f100,plain,
    ( ~ p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl0_1
  <=> p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f116,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f115,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f113,f1]) ).

fof(f1,axiom,
    p38(c56),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c56_is_p38_1) ).

fof(f113,plain,
    ( ~ p38(c56)
    | spl0_2 ),
    inference(resolution,[],[f104,f15]) ).

fof(f15,axiom,
    ! [X7] :
      ( p38(f15(X7))
      | ~ p38(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p38_15) ).

fof(f104,plain,
    ( ~ p38(f15(c56))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl0_2
  <=> p38(f15(c56)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f105,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f96,f102,f98]) ).

fof(f96,plain,
    ( ~ p38(f15(c56))
    | ~ p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
    inference(subsumption_resolution,[],[f94,f1]) ).

fof(f94,plain,
    ( ~ p38(f15(c56))
    | ~ p38(c56)
    | ~ p37(f15(c56),f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
    inference(resolution,[],[f93,f36]) ).

fof(f36,axiom,
    ! [X7] :
      ( p16(f19(f15(X7)),f28(f19(X7)))
      | ~ p38(X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_36) ).

fof(f93,plain,
    ! [X3] :
      ( ~ p16(f19(X3),f28(f19(c56)))
      | ~ p38(X3)
      | ~ p37(X3,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
    inference(subsumption_resolution,[],[f92,f64]) ).

fof(f64,axiom,
    p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f11_is_p38_64) ).

fof(f92,plain,
    ! [X3] :
      ( ~ p16(f19(X3),f28(f19(c56)))
      | ~ p38(X3)
      | ~ p37(X3,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
      | ~ p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))) ),
    inference(resolution,[],[f88,f54]) ).

fof(f54,axiom,
    ! [X60,X61] :
      ( p39(f19(X60),f19(X61))
      | ~ p37(X60,X61)
      | ~ p38(X61)
      | ~ p38(X60) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_54) ).

fof(f88,plain,
    ! [X0] :
      ( ~ p39(X0,f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
      | ~ p16(X0,f28(f19(c56))) ),
    inference(resolution,[],[f87,f8]) ).

fof(f8,axiom,
    ! [X5] : p16(X5,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_8) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ p16(X1,f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))))
      | ~ p16(X0,f28(f19(c56)))
      | ~ p39(X0,X1) ),
    inference(resolution,[],[f69,f52]) ).

fof(f52,axiom,
    ! [X82,X83,X84,X85] :
      ( p39(X82,X83)
      | ~ p39(X85,X84)
      | ~ p16(X85,X82)
      | ~ p16(X84,X83) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p39_52) ).

fof(f69,axiom,
    ~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p39_69) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN707-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 22:17:48 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (17593)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.49  % (17595)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.50  % (17585)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.50  % (17595)Instruction limit reached!
% 0.18/0.50  % (17595)------------------------------
% 0.18/0.50  % (17595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (17595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (17595)Termination reason: Unknown
% 0.18/0.50  % (17595)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (17595)Memory used [KB]: 6012
% 0.18/0.50  % (17595)Time elapsed: 0.104 s
% 0.18/0.50  % (17595)Instructions burned: 5 (million)
% 0.18/0.50  % (17595)------------------------------
% 0.18/0.50  % (17595)------------------------------
% 0.18/0.50  % (17585)Instruction limit reached!
% 0.18/0.50  % (17585)------------------------------
% 0.18/0.50  % (17585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (17587)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.50  % (17605)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.50  % (17585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (17585)Termination reason: Unknown
% 0.18/0.50  % (17585)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (17585)Memory used [KB]: 5884
% 0.18/0.50  % (17585)Time elapsed: 0.003 s
% 0.18/0.50  % (17585)Instructions burned: 4 (million)
% 0.18/0.50  % (17585)------------------------------
% 0.18/0.50  % (17585)------------------------------
% 0.18/0.50  % (17606)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50  % (17602)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51  % (17598)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.51  % (17602)First to succeed.
% 0.18/0.52  % (17583)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.52  % (17590)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.52  % (17586)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.38/0.52  % (17593)Instruction limit reached!
% 1.38/0.52  % (17593)------------------------------
% 1.38/0.52  % (17593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.52  % (17593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.52  % (17593)Termination reason: Unknown
% 1.38/0.52  % (17593)Termination phase: Saturation
% 1.38/0.52  
% 1.38/0.52  % (17593)Memory used [KB]: 6012
% 1.38/0.52  % (17593)Time elapsed: 0.113 s
% 1.38/0.52  % (17593)Instructions burned: 7 (million)
% 1.38/0.52  % (17593)------------------------------
% 1.38/0.52  % (17593)------------------------------
% 1.38/0.52  % (17584)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.38/0.52  % (17598)Instruction limit reached!
% 1.38/0.52  % (17598)------------------------------
% 1.38/0.52  % (17598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53  % (17602)Refutation found. Thanks to Tanya!
% 1.38/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.38/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.53  % (17602)------------------------------
% 1.38/0.53  % (17602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53  % (17602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53  % (17602)Termination reason: Refutation
% 1.38/0.53  
% 1.38/0.53  % (17602)Memory used [KB]: 6012
% 1.38/0.53  % (17602)Time elapsed: 0.119 s
% 1.38/0.53  % (17602)Instructions burned: 5 (million)
% 1.38/0.53  % (17602)------------------------------
% 1.38/0.53  % (17602)------------------------------
% 1.38/0.53  % (17582)Success in time 0.181 s
%------------------------------------------------------------------------------