TSTP Solution File: SYN205-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN205-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : 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 : Wed Aug 31 19:25:51 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   40 (  16 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   94 (  51   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1533,plain,
    $false,
    inference(resolution,[],[f1530,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

fof(f1530,plain,
    ! [X0] : ~ m0(a,X0,d),
    inference(subsumption_resolution,[],[f1526,f1051]) ).

fof(f1051,plain,
    ! [X7] : n1(a,X7,X7),
    inference(subsumption_resolution,[],[f1050,f744]) ).

fof(f744,plain,
    ! [X0] : n1(a,X0,a),
    inference(resolution,[],[f743,f20]) ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

fof(f743,plain,
    ! [X8,X7] :
      ( ~ l0(X7)
      | n1(X7,X8,X7) ),
    inference(subsumption_resolution,[],[f742,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f742,plain,
    ! [X8,X7] :
      ( n1(X7,X8,X7)
      | ~ l0(X7)
      | ~ p0(b,X8) ),
    inference(subsumption_resolution,[],[f88,f5]) ).

fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f88,axiom,
    ! [X8,X7] :
      ( n1(X7,X8,X7)
      | ~ l0(X7)
      | ~ s0(b)
      | ~ p0(b,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_050) ).

fof(f1050,plain,
    ! [X7] :
      ( ~ n1(a,X7,a)
      | n1(a,X7,X7) ),
    inference(subsumption_resolution,[],[f1043,f20]) ).

fof(f1043,plain,
    ! [X7] :
      ( ~ l0(a)
      | n1(a,X7,X7)
      | ~ n1(a,X7,a) ),
    inference(resolution,[],[f92,f376]) ).

fof(f376,plain,
    l1(a,a),
    inference(resolution,[],[f40,f37]) ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

fof(f92,axiom,
    ! [X8,X9,X4] :
      ( ~ l1(X4,X8)
      | ~ l0(X4)
      | ~ n1(X8,X9,X8)
      | n1(X8,X9,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_054) ).

fof(f1526,plain,
    ! [X0] :
      ( ~ n1(a,b,b)
      | ~ m0(a,X0,d) ),
    inference(resolution,[],[f1361,f1125]) ).

fof(f1125,plain,
    ! [X1] :
      ( ~ q2(b,a,b)
      | ~ m0(a,X1,d) ),
    inference(resolution,[],[f1123,f544]) ).

fof(f544,plain,
    ! [X2] : q2(X2,X2,X2),
    inference(subsumption_resolution,[],[f219,f429]) ).

fof(f429,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[],[f123,f14]) ).

fof(f123,axiom,
    ! [X11,X6] :
      ( ~ p0(X6,X11)
      | p1(X11,X11,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).

fof(f219,axiom,
    ! [X2] :
      ( ~ p1(X2,X2,X2)
      | q2(X2,X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).

fof(f1123,plain,
    ! [X3,X4] :
      ( ~ q2(X3,a,X3)
      | ~ q2(b,a,b)
      | ~ m0(X3,X4,d) ),
    inference(subsumption_resolution,[],[f1122,f14]) ).

fof(f1122,plain,
    ! [X3,X4] :
      ( ~ q2(b,a,b)
      | ~ q2(X3,a,X3)
      | ~ p0(b,b)
      | ~ m0(X3,X4,d) ),
    inference(resolution,[],[f1120,f163]) ).

fof(f163,axiom,
    ! [X2] :
      ( s1(X2)
      | ~ p0(X2,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).

fof(f1120,plain,
    ! [X0,X1] :
      ( ~ s1(b)
      | ~ m0(X0,X1,d)
      | ~ q2(X0,a,X0)
      | ~ q2(b,a,b) ),
    inference(resolution,[],[f1118,f227]) ).

fof(f227,axiom,
    ! [X5] :
      ( s2(X5)
      | ~ s1(b)
      | ~ q2(b,X5,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_189) ).

fof(f1118,plain,
    ! [X0,X1] :
      ( ~ s2(a)
      | ~ q2(X0,a,X0)
      | ~ m0(X0,X1,d) ),
    inference(resolution,[],[f311,f369]) ).

fof(f369,axiom,
    ~ s3(a,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f311,axiom,
    ! [X2,X3,X10,X11] :
      ( s3(X2,X3)
      | ~ s2(X2)
      | ~ q2(X10,X2,X10)
      | ~ m0(X10,X11,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_273) ).

fof(f1361,plain,
    ! [X4] :
      ( q2(b,X4,b)
      | ~ n1(X4,b,b) ),
    inference(subsumption_resolution,[],[f1360,f386]) ).

fof(f386,plain,
    p1(b,b,b),
    inference(resolution,[],[f106,f32]) ).

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).

fof(f106,axiom,
    ! [X7] :
      ( ~ k0(X7)
      | p1(X7,X7,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_068) ).

fof(f1360,plain,
    ! [X4] :
      ( ~ n1(X4,b,b)
      | ~ p1(b,b,b)
      | q2(b,X4,b) ),
    inference(resolution,[],[f220,f666]) ).

fof(f666,plain,
    ! [X1] : q2(X1,b,b),
    inference(resolution,[],[f664,f32]) ).

fof(f664,plain,
    ! [X8,X9] :
      ( ~ k0(X9)
      | q2(X8,X9,X9) ),
    inference(subsumption_resolution,[],[f215,f429]) ).

fof(f215,axiom,
    ! [X8,X9] :
      ( ~ k0(X9)
      | q2(X8,X9,X9)
      | ~ p1(X8,X8,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_177) ).

fof(f220,axiom,
    ! [X9,X4,X5] :
      ( ~ q2(X4,X5,X9)
      | ~ p1(X9,X9,X5)
      | q2(X9,X4,X9)
      | ~ n1(X4,X9,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_182) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYN205-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.12  % 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 : n012.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 21:36:05 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (25255)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)
% 0.18/0.49  % (25238)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.49  % (25255)Refutation not found, incomplete strategy% (25255)------------------------------
% 0.18/0.49  % (25255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (25255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (25255)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49  
% 0.18/0.49  % (25255)Memory used [KB]: 6268
% 0.18/0.49  % (25255)Time elapsed: 0.009 s
% 0.18/0.49  % (25255)Instructions burned: 4 (million)
% 0.18/0.49  % (25255)------------------------------
% 0.18/0.49  % (25255)------------------------------
% 0.18/0.51  % (25237)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.51  % (25243)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.52  % (25252)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)
% 0.18/0.52  % (25252)Instruction limit reached!
% 0.18/0.52  % (25252)------------------------------
% 0.18/0.52  % (25252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (25252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (25252)Termination reason: Unknown
% 0.18/0.52  % (25252)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (25252)Memory used [KB]: 1791
% 0.18/0.52  % (25252)Time elapsed: 0.005 s
% 0.18/0.52  % (25252)Instructions burned: 8 (million)
% 0.18/0.52  % (25252)------------------------------
% 0.18/0.52  % (25252)------------------------------
% 0.18/0.52  % (25260)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.18/0.52  % (25260)Refutation not found, incomplete strategy% (25260)------------------------------
% 0.18/0.52  % (25260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (25260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (25260)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (25260)Memory used [KB]: 1663
% 0.18/0.52  % (25260)Time elapsed: 0.003 s
% 0.18/0.52  % (25260)Instructions burned: 2 (million)
% 0.18/0.52  % (25260)------------------------------
% 0.18/0.52  % (25260)------------------------------
% 0.18/0.52  % (25232)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  % (25236)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)
% 0.18/0.52  % (25240)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.52  % (25236)Refutation not found, incomplete strategy% (25236)------------------------------
% 0.18/0.52  % (25236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (25236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (25236)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (25236)Memory used [KB]: 6140
% 0.18/0.52  % (25236)Time elapsed: 0.002 s
% 0.18/0.52  % (25236)Instructions burned: 2 (million)
% 0.18/0.52  % (25236)------------------------------
% 0.18/0.52  % (25236)------------------------------
% 0.18/0.53  % (25241)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (25240)Instruction limit reached!
% 0.18/0.53  % (25240)------------------------------
% 0.18/0.53  % (25240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25240)Termination reason: Unknown
% 0.18/0.53  % (25240)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (25240)Memory used [KB]: 1791
% 0.18/0.53  % (25240)Time elapsed: 0.003 s
% 0.18/0.53  % (25240)Instructions burned: 4 (million)
% 0.18/0.53  % (25240)------------------------------
% 0.18/0.53  % (25240)------------------------------
% 0.18/0.53  % (25241)Refutation not found, incomplete strategy% (25241)------------------------------
% 0.18/0.53  % (25241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25241)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (25241)Memory used [KB]: 6268
% 0.18/0.53  % (25241)Time elapsed: 0.126 s
% 0.18/0.53  % (25241)Instructions burned: 3 (million)
% 0.18/0.53  % (25241)------------------------------
% 0.18/0.53  % (25241)------------------------------
% 0.18/0.53  % (25237)Instruction limit reached!
% 0.18/0.53  % (25237)------------------------------
% 0.18/0.53  % (25237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25235)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)
% 0.18/0.53  % (25238)First to succeed.
% 0.18/0.53  % (25235)Refutation not found, incomplete strategy% (25235)------------------------------
% 0.18/0.53  % (25235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25235)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (25235)Memory used [KB]: 6140
% 0.18/0.53  % (25235)Time elapsed: 0.002 s
% 0.18/0.53  % (25235)Instructions burned: 2 (million)
% 0.18/0.53  % (25235)------------------------------
% 0.18/0.53  % (25235)------------------------------
% 0.18/0.53  % (25256)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)
% 0.18/0.53  % (25238)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (25238)------------------------------
% 0.18/0.53  % (25238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25238)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (25238)Memory used [KB]: 2174
% 0.18/0.53  % (25238)Time elapsed: 0.044 s
% 0.18/0.53  % (25238)Instructions burned: 46 (million)
% 0.18/0.53  % (25238)------------------------------
% 0.18/0.53  % (25238)------------------------------
% 0.18/0.53  % (25224)Success in time 0.188 s
%------------------------------------------------------------------------------