TSTP Solution File: SYN716-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN716-1 : 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 : n003.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 19:28:11 EDT 2022

% Result   : Unsatisfiable 1.40s 0.55s
% Output   : Refutation 1.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   20 (   7 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   48 (  25   ~;  22   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  12 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f127,plain,
    $false,
    inference(unit_resulting_resolution,[],[f34,f126,f99]) ).

fof(f99,axiom,
    ! [X224,X222,X223,X220,X221,X219] :
      ( ~ p62(f23(f25(f27(f29(f31(c74,X219),X221),X222),X223),X224),X220)
      | p62(X219,X220) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_99) ).

fof(f126,plain,
    p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72),
    inference(resolution,[],[f106,f119]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),f16(f19(f21(c66,X0),X1),X2))
      | p62(X0,c72) ),
    inference(resolution,[],[f118,f97]) ).

fof(f97,axiom,
    ! [X215,X218,X216,X217] :
      ( ~ p62(f5(c64,f16(f19(f21(c66,X215),X217),X218)),X216)
      | p62(X215,X216) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_97) ).

fof(f118,plain,
    ! [X0] :
      ( p62(f5(c64,X0),c72)
      | ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X0) ),
    inference(resolution,[],[f115,f28]) ).

fof(f28,axiom,
    ! [X27] : p2(X27,X27),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ~ p2(c64,X0)
      | ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X1)
      | p62(f5(X0,X1),c72) ),
    inference(resolution,[],[f114,f86]) ).

fof(f86,axiom,
    ! [X171,X174,X172,X173] :
      ( p4(f5(X171,X172),f5(X173,X174))
      | ~ p2(X171,X173)
      | ~ p3(X172,X174) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_86) ).

fof(f114,plain,
    ! [X0] :
      ( ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X0)
      | p62(X0,c72) ),
    inference(resolution,[],[f113,f20]) ).

fof(f20,axiom,
    ! [X19] : p32(X19,X19),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32_20) ).

fof(f113,plain,
    ! [X2,X3] :
      ( ~ p32(c72,X3)
      | p62(X2,X3)
      | ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X2) ),
    inference(resolution,[],[f100,f111]) ).

fof(f111,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p62(X3,X2)
      | p62(X0,X1)
      | ~ p32(X2,X1)
      | ~ p4(X3,X0) ),
    inference(resolution,[],[f110,f109]) ).

fof(f109,plain,
    ! [X101,X99,X102] :
      ( sP1(X102,X99)
      | ~ p62(X101,X102)
      | ~ p4(X101,X99) ),
    inference(cnf_transformation,[],[f109_D]) ).

fof(f109_D,plain,
    ! [X99,X102] :
      ( ! [X101] :
          ( ~ p62(X101,X102)
          | ~ p4(X101,X99) )
    <=> ~ sP1(X102,X99) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f110,plain,
    ! [X99,X102,X100] :
      ( ~ sP1(X102,X99)
      | p62(X99,X100)
      | ~ p32(X102,X100) ),
    inference(general_splitting,[],[f68,f109_D]) ).

fof(f68,axiom,
    ! [X101,X99,X102,X100] :
      ( ~ p32(X102,X100)
      | ~ p62(X101,X102)
      | ~ p4(X101,X99)
      | p62(X99,X100) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_68) ).

fof(f100,axiom,
    p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p62_100) ).

fof(f106,axiom,
    ! [X224,X222,X223,X221,X219] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X219),X221),X222)),X223),X224),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X219),X221),X222),X223),X224)),f43(f45(f47(f49(f51(c75,X219),X221),X222),X223),X224)),f53(f55(f57(f59(f61(c76,X219),X221),X222),X223),X224))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_106) ).

fof(f34,axiom,
    ~ p62(c67,c72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p62_34) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN716-1 : 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
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:18:08 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (4139)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)
% 0.20/0.49  % (4147)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)
% 0.20/0.49  % (4156)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.50  % (4162)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.50  % (4154)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (4148)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)
% 1.30/0.51  % (4150)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)
% 1.30/0.51  % (4149)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)
% 1.30/0.51  % (4150)Instruction limit reached!
% 1.30/0.51  % (4150)------------------------------
% 1.30/0.51  % (4150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51  % (4150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51  % (4150)Termination reason: Unknown
% 1.30/0.51  % (4150)Termination phase: Saturation
% 1.30/0.51  
% 1.30/0.51  % (4150)Memory used [KB]: 6012
% 1.30/0.51  % (4150)Time elapsed: 0.116 s
% 1.30/0.51  % (4150)Instructions burned: 5 (million)
% 1.30/0.51  % (4150)------------------------------
% 1.30/0.51  % (4150)------------------------------
% 1.30/0.51  % (4154)Instruction limit reached!
% 1.30/0.51  % (4154)------------------------------
% 1.30/0.51  % (4154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51  % (4154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51  % (4154)Termination reason: Unknown
% 1.30/0.51  % (4154)Termination phase: Saturation
% 1.30/0.51  
% 1.30/0.51  % (4154)Memory used [KB]: 1535
% 1.30/0.51  % (4154)Time elapsed: 0.004 s
% 1.30/0.51  % (4154)Instructions burned: 2 (million)
% 1.30/0.51  % (4154)------------------------------
% 1.30/0.51  % (4154)------------------------------
% 1.30/0.52  % (4164)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.30/0.52  % (4160)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)
% 1.30/0.52  % (4143)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.30/0.52  % (4138)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.30/0.52  % (4152)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.30/0.52  % (4142)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)
% 1.30/0.52  % (4151)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.40/0.53  % (4151)Instruction limit reached!
% 1.40/0.53  % (4151)------------------------------
% 1.40/0.53  % (4151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (4151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (4151)Termination reason: Unknown
% 1.40/0.53  % (4151)Termination phase: Saturation
% 1.40/0.53  
% 1.40/0.53  % (4151)Memory used [KB]: 6012
% 1.40/0.53  % (4151)Time elapsed: 0.003 s
% 1.40/0.53  % (4151)Instructions burned: 3 (million)
% 1.40/0.53  % (4151)------------------------------
% 1.40/0.53  % (4151)------------------------------
% 1.40/0.53  % (4141)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)
% 1.40/0.53  % (4161)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)
% 1.40/0.53  % (4152)First to succeed.
% 1.40/0.53  % (4140)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)
% 1.40/0.53  % (4159)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.40/0.53  % (4148)Instruction limit reached!
% 1.40/0.53  % (4148)------------------------------
% 1.40/0.53  % (4148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (4148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53  % (4148)Termination reason: Unknown
% 1.40/0.53  % (4148)Termination phase: Saturation
% 1.40/0.53  
% 1.40/0.53  % (4148)Memory used [KB]: 6140
% 1.40/0.53  % (4148)Time elapsed: 0.114 s
% 1.40/0.53  % (4148)Instructions burned: 6 (million)
% 1.40/0.53  % (4148)------------------------------
% 1.40/0.53  % (4148)------------------------------
% 1.40/0.53  % (4153)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)
% 1.40/0.53  % (4163)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.40/0.53  % (4144)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)
% 1.40/0.53  % (4158)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.40/0.53  % (4153)Instruction limit reached!
% 1.40/0.53  % (4153)------------------------------
% 1.40/0.53  % (4153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53  % (4166)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.40/0.54  % (4140)Instruction limit reached!
% 1.40/0.54  % (4140)------------------------------
% 1.40/0.54  % (4140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (4145)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)
% 1.40/0.54  % (4140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (4140)Termination reason: Unknown
% 1.40/0.54  % (4140)Termination phase: Saturation
% 1.40/0.54  
% 1.40/0.54  % (4140)Memory used [KB]: 6140
% 1.40/0.54  % (4140)Time elapsed: 0.144 s
% 1.40/0.54  % (4140)Instructions burned: 5 (million)
% 1.40/0.54  % (4140)------------------------------
% 1.40/0.54  % (4140)------------------------------
% 1.40/0.54  % (4165)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)
% 1.40/0.54  % (4146)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)
% 1.40/0.54  % (4146)Instruction limit reached!
% 1.40/0.54  % (4146)------------------------------
% 1.40/0.54  % (4146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.54  % (4146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.54  % (4146)Termination reason: Unknown
% 1.40/0.54  % (4146)Termination phase: Saturation
% 1.40/0.54  
% 1.40/0.54  % (4146)Memory used [KB]: 6012
% 1.40/0.54  % (4146)Time elapsed: 0.003 s
% 1.40/0.54  % (4146)Instructions burned: 3 (million)
% 1.40/0.54  % (4146)------------------------------
% 1.40/0.54  % (4146)------------------------------
% 1.40/0.54  % (4157)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)
% 1.40/0.54  % (4167)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.54  % (4155)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.40/0.55  % (4158)Instruction limit reached!
% 1.40/0.55  % (4158)------------------------------
% 1.40/0.55  % (4158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55  % (4158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55  % (4158)Termination reason: Unknown
% 1.40/0.55  % (4158)Termination phase: Saturation
% 1.40/0.55  
% 1.40/0.55  % (4158)Memory used [KB]: 1663
% 1.40/0.55  % (4158)Time elapsed: 0.157 s
% 1.40/0.55  % (4158)Instructions burned: 7 (million)
% 1.40/0.55  % (4158)------------------------------
% 1.40/0.55  % (4158)------------------------------
% 1.40/0.55  % (4142)Also succeeded, but the first one will report.
% 1.40/0.55  % (4152)Refutation found. Thanks to Tanya!
% 1.40/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.40/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.55  % (4152)------------------------------
% 1.40/0.55  % (4152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55  % (4152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55  % (4152)Termination reason: Refutation
% 1.40/0.55  
% 1.40/0.55  % (4152)Memory used [KB]: 1791
% 1.40/0.55  % (4152)Time elapsed: 0.102 s
% 1.40/0.55  % (4152)Instructions burned: 11 (million)
% 1.40/0.55  % (4152)------------------------------
% 1.40/0.55  % (4152)------------------------------
% 1.40/0.55  % (4137)Success in time 0.198 s
%------------------------------------------------------------------------------