TSTP Solution File: SYN557-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN557-1 : 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 : n026.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 19:27:44 EDT 2022

% Result   : Unsatisfiable 1.96s 0.60s
% Output   : Refutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   27 (  21 unt;   0 def)
%            Number of atoms       :   34 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f526,plain,
    $false,
    inference(subsumption_resolution,[],[f522,f21]) ).

fof(f21,plain,
    ~ p2(c6,sF5),
    inference(definition_folding,[],[f3,f20,f16]) ).

fof(f16,plain,
    f5(c9) = sF2,
    introduced(function_definition,[]) ).

fof(f20,plain,
    f3(c8,sF2) = sF5,
    introduced(function_definition,[]) ).

fof(f3,axiom,
    ~ p2(c6,f3(c8,f5(c9))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_3) ).

fof(f522,plain,
    p2(c6,sF5),
    inference(resolution,[],[f482,f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ p2(sF1,f3(X0,sF0))
      | p2(c6,X0) ),
    inference(superposition,[],[f8,f15]) ).

fof(f15,plain,
    sF1 = f3(c6,sF0),
    introduced(function_definition,[]) ).

fof(f8,axiom,
    ! [X10,X11,X12] :
      ( ~ p2(f3(X10,X12),f3(X11,X12))
      | p2(X10,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).

fof(f482,plain,
    p2(sF1,f3(sF5,sF0)),
    inference(resolution,[],[f36,f297]) ).

fof(f297,plain,
    p2(f3(sF0,sF5),sF1),
    inference(resolution,[],[f295,f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ p2(sF4,X0)
      | p2(X0,sF1) ),
    inference(resolution,[],[f107,f6]) ).

fof(f6,axiom,
    ! [X0,X6,X7] :
      ( ~ p2(X0,X7)
      | p2(X6,X7)
      | ~ p2(X0,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).

fof(f107,plain,
    p2(sF4,sF1),
    inference(resolution,[],[f34,f19]) ).

fof(f19,plain,
    p2(sF1,sF4),
    inference(definition_folding,[],[f12,f18,f17,f16,f14,f15,f14]) ).

fof(f14,plain,
    f5(c7) = sF0,
    introduced(function_definition,[]) ).

fof(f17,plain,
    sF3 = f3(sF0,sF2),
    introduced(function_definition,[]) ).

fof(f18,plain,
    sF4 = f3(c8,sF3),
    introduced(function_definition,[]) ).

fof(f12,axiom,
    p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ p2(X1,X0)
      | p2(X0,X1) ),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).

fof(f295,plain,
    p2(sF4,f3(sF0,sF5)),
    inference(forward_demodulation,[],[f294,f18]) ).

fof(f294,plain,
    p2(f3(c8,sF3),f3(sF0,sF5)),
    inference(superposition,[],[f62,f20]) ).

fof(f62,plain,
    ! [X1] : p2(f3(X1,sF3),f3(sF0,f3(X1,sF2))),
    inference(superposition,[],[f10,f17]) ).

fof(f10,axiom,
    ! [X14,X15,X13] : p2(f3(X13,f3(X14,X15)),f3(X14,f3(X13,X15))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).

fof(f36,plain,
    ! [X6,X7,X5] :
      ( ~ p2(f3(X7,X6),X5)
      | p2(X5,f3(X6,X7)) ),
    inference(resolution,[],[f6,f4]) ).

fof(f4,axiom,
    ! [X2,X3] : p2(f3(X2,X3),f3(X3,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN557-1 : 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_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n026.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 22:21:51 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.51  % (17957)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)
% 0.20/0.52  % (17941)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)
% 0.20/0.56  % (17936)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)
% 0.20/0.56  % (17942)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)
% 0.20/0.56  % (17934)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.57  % (17957)Instruction limit reached!
% 0.20/0.57  % (17957)------------------------------
% 0.20/0.57  % (17957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (17957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (17957)Termination reason: Unknown
% 0.20/0.57  % (17957)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (17957)Memory used [KB]: 6140
% 0.20/0.57  % (17957)Time elapsed: 0.076 s
% 0.20/0.57  % (17957)Instructions burned: 38 (million)
% 0.20/0.57  % (17957)------------------------------
% 0.20/0.57  % (17957)------------------------------
% 0.20/0.57  % (17940)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)
% 0.20/0.57  % (17941)Instruction limit reached!
% 0.20/0.57  % (17941)------------------------------
% 0.20/0.57  % (17941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (17941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (17941)Termination reason: Unknown
% 0.20/0.57  % (17941)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (17941)Memory used [KB]: 6012
% 0.20/0.57  % (17941)Time elapsed: 0.075 s
% 0.20/0.57  % (17941)Instructions burned: 51 (million)
% 0.20/0.57  % (17941)------------------------------
% 0.20/0.57  % (17941)------------------------------
% 0.20/0.57  % (17950)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)
% 0.20/0.57  % (17950)Instruction limit reached!
% 0.20/0.57  % (17950)------------------------------
% 0.20/0.57  % (17950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (17950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (17950)Termination reason: Unknown
% 0.20/0.57  % (17950)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (17950)Memory used [KB]: 5756
% 0.20/0.57  % (17950)Time elapsed: 0.156 s
% 0.20/0.57  % (17950)Instructions burned: 3 (million)
% 0.20/0.57  % (17950)------------------------------
% 0.20/0.57  % (17950)------------------------------
% 0.20/0.58  % (17944)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)
% 0.20/0.58  % (17942)Instruction limit reached!
% 0.20/0.58  % (17942)------------------------------
% 0.20/0.58  % (17942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (17942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (17942)Termination reason: Unknown
% 0.20/0.58  % (17942)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (17942)Memory used [KB]: 5756
% 0.20/0.58  % (17942)Time elapsed: 0.158 s
% 0.20/0.58  % (17942)Instructions burned: 3 (million)
% 0.20/0.58  % (17942)------------------------------
% 0.20/0.58  % (17942)------------------------------
% 0.20/0.58  % (17960)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)
% 0.20/0.58  % (17953)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)
% 0.20/0.58  % (17959)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)
% 0.20/0.58  % (17936)Instruction limit reached!
% 0.20/0.58  % (17936)------------------------------
% 0.20/0.58  % (17936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (17936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (17936)Termination reason: Unknown
% 0.20/0.58  % (17936)Termination phase: Saturation
% 0.20/0.58  
% 0.20/0.58  % (17963)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)
% 0.20/0.58  % (17936)Memory used [KB]: 5884
% 0.20/0.58  % (17936)Time elapsed: 0.146 s
% 0.20/0.58  % (17936)Instructions burned: 4 (million)
% 0.20/0.58  % (17936)------------------------------
% 0.20/0.58  % (17936)------------------------------
% 0.20/0.59  % (17935)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)
% 0.20/0.59  % (17944)Instruction limit reached!
% 0.20/0.59  % (17944)------------------------------
% 0.20/0.59  % (17944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (17944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (17938)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)
% 0.20/0.59  % (17944)Termination reason: Unknown
% 0.20/0.59  % (17944)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (17944)Memory used [KB]: 5884
% 0.20/0.59  % (17944)Time elapsed: 0.180 s
% 0.20/0.59  % (17944)Instructions burned: 6 (million)
% 0.20/0.59  % (17944)------------------------------
% 0.20/0.59  % (17944)------------------------------
% 0.20/0.59  % (17939)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.59  % (17954)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)
% 0.20/0.59  % (17945)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)
% 0.20/0.59  % (17952)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)
% 0.20/0.59  % (17962)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)
% 0.20/0.59  % (17951)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.59  % (17937)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)
% 0.20/0.60  % (17934)First to succeed.
% 0.20/0.60  % (17946)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)
% 1.96/0.60  % (17946)Instruction limit reached!
% 1.96/0.60  % (17946)------------------------------
% 1.96/0.60  % (17946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.60  % (17946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.60  % (17946)Termination reason: Unknown
% 1.96/0.60  % (17946)Termination phase: Saturation
% 1.96/0.60  
% 1.96/0.60  % (17946)Memory used [KB]: 5756
% 1.96/0.60  % (17946)Time elapsed: 0.184 s
% 1.96/0.60  % (17946)Instructions burned: 5 (million)
% 1.96/0.60  % (17946)------------------------------
% 1.96/0.60  % (17946)------------------------------
% 1.96/0.60  % (17943)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)
% 1.96/0.60  % (17955)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)
% 1.96/0.60  % (17961)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)
% 1.96/0.60  % (17949)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)
% 1.96/0.60  TRYING [1]
% 1.96/0.60  TRYING [2]
% 1.96/0.60  % (17934)Refutation found. Thanks to Tanya!
% 1.96/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.96/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.60  % (17934)------------------------------
% 1.96/0.60  % (17934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.60  % (17934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.60  % (17934)Termination reason: Refutation
% 1.96/0.60  
% 1.96/0.60  % (17934)Memory used [KB]: 6140
% 1.96/0.60  % (17934)Time elapsed: 0.157 s
% 1.96/0.60  % (17934)Instructions burned: 22 (million)
% 1.96/0.60  % (17934)------------------------------
% 1.96/0.60  % (17934)------------------------------
% 1.96/0.60  % (17933)Success in time 0.25 s
%------------------------------------------------------------------------------