TSTP Solution File: SYN578-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN578-1 : 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_sat --cores 0 -t %d %s

% Computer : n018.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 19:38:58 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   40 (  17 unt;   0 def)
%            Number of atoms       :   77 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   77 (  40   ~;  36   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   2 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f610,plain,
    $false,
    inference(avatar_sat_refutation,[],[f357,f608]) ).

fof(f608,plain,
    ~ spl2_4,
    inference(avatar_contradiction_clause,[],[f607]) ).

fof(f607,plain,
    ( $false
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f606,f6]) ).

fof(f6,axiom,
    p11(c14,c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).

fof(f606,plain,
    ( ~ p11(c14,c15)
    | ~ spl2_4 ),
    inference(subsumption_resolution,[],[f605,f2]) ).

fof(f2,axiom,
    ! [X1] : p7(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).

fof(f605,plain,
    ( ~ p7(c12,c12)
    | ~ p11(c14,c15)
    | ~ spl2_4 ),
    inference(resolution,[],[f296,f93]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ p9(c12,f4(X0))
      | ~ p11(X0,c15) ),
    inference(subsumption_resolution,[],[f82,f23]) ).

fof(f23,axiom,
    ! [X34,X33] :
      ( ~ p9(f8(X33,X34),f4(X34))
      | ~ p9(f8(X33,X34),X33)
      | ~ p11(X34,c15)
      | ~ p9(c12,X33) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_23) ).

fof(f82,plain,
    ! [X0] :
      ( p9(f8(f4(X0),X0),f4(X0))
      | ~ p9(c12,f4(X0))
      | ~ p11(X0,c15) ),
    inference(factoring,[],[f22]) ).

fof(f22,axiom,
    ! [X34,X33] :
      ( p9(f8(X33,X34),f4(X34))
      | p9(f8(X33,X34),X33)
      | ~ p9(c12,X33)
      | ~ p11(X34,c15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_22) ).

fof(f296,plain,
    ( ! [X9] :
        ( p9(X9,f4(c14))
        | ~ p7(c12,X9) )
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f295,plain,
    ( spl2_4
  <=> ! [X9] :
        ( p9(X9,f4(c14))
        | ~ p7(c12,X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f357,plain,
    spl2_4,
    inference(avatar_split_clause,[],[f356,f295]) ).

fof(f356,plain,
    ! [X10] :
      ( p9(X10,f4(c14))
      | ~ p7(c12,X10) ),
    inference(subsumption_resolution,[],[f354,f3]) ).

fof(f3,axiom,
    ! [X2] : p3(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).

fof(f354,plain,
    ! [X10] :
      ( p9(X10,f4(c14))
      | ~ p3(sF0,sF0)
      | ~ p7(c12,X10) ),
    inference(resolution,[],[f67,f216]) ).

fof(f216,plain,
    ! [X0] :
      ( p3(X0,f4(c14))
      | ~ p3(sF0,X0) ),
    inference(resolution,[],[f214,f17]) ).

fof(f17,axiom,
    ! [X2,X18,X17] :
      ( ~ p3(X2,X18)
      | ~ p3(X2,X17)
      | p3(X17,X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).

fof(f214,plain,
    p3(sF0,f4(c14)),
    inference(subsumption_resolution,[],[f212,f75]) ).

fof(f75,plain,
    p2(sF1,c16),
    inference(resolution,[],[f61,f27]) ).

fof(f27,plain,
    p2(c16,sF1),
    inference(definition_folding,[],[f7,f26]) ).

fof(f26,plain,
    f5(c14) = sF1,
    introduced(function_definition,[]) ).

fof(f7,axiom,
    p2(c16,f5(c14)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f18,f4]) ).

fof(f4,axiom,
    ! [X3] : p2(X3,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

fof(f18,axiom,
    ! [X3,X19,X20] :
      ( ~ p2(X3,X20)
      | ~ p2(X3,X19)
      | p2(X19,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).

fof(f212,plain,
    ( ~ p2(sF1,c16)
    | p3(sF0,f4(c14)) ),
    inference(resolution,[],[f44,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( p3(f4(X0),sF0)
      | ~ p2(X0,c16) ),
    inference(superposition,[],[f14,f24]) ).

fof(f24,plain,
    f4(c16) = sF0,
    introduced(function_definition,[]) ).

fof(f14,axiom,
    ! [X11,X12] :
      ( p3(f4(X11),f4(X12))
      | ~ p2(X11,X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).

fof(f44,plain,
    ! [X4] :
      ( ~ p3(f4(sF1),X4)
      | p3(X4,f4(c14)) ),
    inference(resolution,[],[f17,f29]) ).

fof(f29,plain,
    p3(f4(sF1),f4(c14)),
    inference(superposition,[],[f8,f26]) ).

fof(f8,axiom,
    ! [X4] : p3(f4(f5(X4)),f4(X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).

fof(f67,plain,
    ! [X2,X3] :
      ( ~ p3(sF0,X3)
      | p9(X2,X3)
      | ~ p7(c12,X2) ),
    inference(resolution,[],[f20,f32]) ).

fof(f32,plain,
    p9(c12,sF0),
    inference(resolution,[],[f28,f5]) ).

fof(f5,axiom,
    p9(c12,c13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).

fof(f28,plain,
    ! [X6] :
      ( ~ p9(X6,c13)
      | p9(X6,sF0) ),
    inference(definition_folding,[],[f11,f24]) ).

fof(f11,axiom,
    ! [X6] :
      ( ~ p9(X6,c13)
      | p9(X6,f4(c16)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_11) ).

fof(f20,axiom,
    ! [X28,X26,X27,X25] :
      ( ~ p9(X27,X28)
      | ~ p7(X27,X25)
      | ~ p3(X28,X26)
      | p9(X25,X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_20) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN578-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 22:12:40 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (9598)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49  % (9615)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.49  % (9599)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49  % (9599)Instruction limit reached!
% 0.19/0.49  % (9599)------------------------------
% 0.19/0.49  % (9599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (9599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (9599)Termination reason: Unknown
% 0.19/0.49  % (9599)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (9599)Memory used [KB]: 5373
% 0.19/0.49  % (9599)Time elapsed: 0.095 s
% 0.19/0.49  % (9599)Instructions burned: 3 (million)
% 0.19/0.49  % (9599)------------------------------
% 0.19/0.49  % (9599)------------------------------
% 0.19/0.49  % (9598)Instruction limit reached!
% 0.19/0.49  % (9598)------------------------------
% 0.19/0.49  % (9598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (9598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (9598)Termination reason: Unknown
% 0.19/0.49  % (9598)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (9598)Memory used [KB]: 5500
% 0.19/0.49  % (9598)Time elapsed: 0.092 s
% 0.19/0.49  % (9598)Instructions burned: 7 (million)
% 0.19/0.49  % (9598)------------------------------
% 0.19/0.49  % (9598)------------------------------
% 0.19/0.49  % (9614)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)
% 0.19/0.50  % (9606)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)
% 0.19/0.50  % (9603)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51  % (9613)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)
% 0.19/0.51  % (9600)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)
% 0.19/0.51  % (9601)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (9595)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (9605)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)
% 0.19/0.52  % (9594)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)
% 0.19/0.52  % (9602)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)
% 0.19/0.52  % (9593)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)
% 0.19/0.53  % (9615)First to succeed.
% 0.19/0.53  % (9597)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)
% 0.19/0.53  % (9611)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)
% 0.19/0.53  % (9592)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)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (9592)Refutation not found, incomplete strategy% (9592)------------------------------
% 0.19/0.53  % (9592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9592)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (9592)Memory used [KB]: 5373
% 0.19/0.53  % (9592)Time elapsed: 0.128 s
% 0.19/0.53  % (9592)Instructions burned: 1 (million)
% 0.19/0.53  % (9592)------------------------------
% 0.19/0.53  % (9592)------------------------------
% 0.19/0.53  TRYING [3]
% 0.19/0.53  % (9615)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (9615)------------------------------
% 0.19/0.53  % (9615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (9615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (9615)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (9615)Memory used [KB]: 5756
% 0.19/0.53  % (9615)Time elapsed: 0.115 s
% 0.19/0.53  % (9615)Instructions burned: 32 (million)
% 0.19/0.53  % (9615)------------------------------
% 0.19/0.53  % (9615)------------------------------
% 0.19/0.53  % (9590)Success in time 0.181 s
%------------------------------------------------------------------------------