TSTP Solution File: COL100-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n010.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 15:52:08 EDT 2022

% Result   : Unsatisfiable 1.62s 0.59s
% Output   : Refutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   19 (  12 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  16   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-4 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f126,plain,
    $false,
    inference(subsumption_resolution,[],[f124,f59]) ).

fof(f59,plain,
    member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
    inference(unit_resulting_resolution,[],[f28,f7]) ).

fof(f7,axiom,
    ! [X8,X6,X7] :
      ( member(pair(X6,X7),trancl(X8))
      | ~ member(pair(X6,X7),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).

fof(f28,plain,
    member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r),
    inference(unit_resulting_resolution,[],[f12,f14,f22,f11]) ).

fof(f11,axiom,
    ! [X10,X11,X8,X12] :
      ( member(pair(X11,diamond_strip_lemmaD_sk1(X10,X11,X12,X8)),X8)
      | ~ member(pair(X10,X12),X8)
      | ~ diamond(X8)
      | ~ member(pair(X10,X11),trancl(X8)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).

fof(f22,plain,
    member(pair(ya,sk1(yp)),trancl(r)),
    inference(unit_resulting_resolution,[],[f17,f15]) ).

fof(f15,axiom,
    ! [X12] :
      ( member(pair(ya,sk1(X12)),trancl(r))
      | ~ member(pair(y,X12),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h4) ).

fof(f17,axiom,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c1) ).

fof(f14,axiom,
    member(pair(ya,z),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h3) ).

fof(f12,axiom,
    diamond(r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h1) ).

fof(f124,plain,
    ~ member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
    inference(unit_resulting_resolution,[],[f8,f24,f55,f9]) ).

fof(f9,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ member(pair(X7,X9),X8)
      | ~ member(pair(X6,X7),X8)
      | ~ trans(X8)
      | member(pair(X6,X9),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).

fof(f55,plain,
    ~ member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
    inference(unit_resulting_resolution,[],[f27,f18]) ).

fof(f18,axiom,
    ! [X13] :
      ( ~ member(pair(yp,X13),trancl(r))
      | ~ member(pair(z,X13),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c2) ).

fof(f27,plain,
    member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
    inference(unit_resulting_resolution,[],[f12,f14,f22,f10]) ).

fof(f10,axiom,
    ! [X10,X11,X8,X12] :
      ( member(pair(X12,diamond_strip_lemmaD_sk1(X10,X11,X12,X8)),trancl(X8))
      | ~ member(pair(X10,X11),trancl(X8))
      | ~ member(pair(X10,X12),X8)
      | ~ diamond(X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).

fof(f24,plain,
    member(pair(yp,sk1(yp)),trancl(r)),
    inference(unit_resulting_resolution,[],[f17,f16]) ).

fof(f16,axiom,
    ! [X12] :
      ( member(pair(X12,sk1(X12)),trancl(r))
      | ~ member(pair(y,X12),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h5) ).

fof(f8,axiom,
    ! [X8] : trans(trancl(X8)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : COL100-1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13  % 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 : n010.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   : Mon Aug 29 16:57:44 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.54  % (6206)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)
% 0.20/0.54  % (6198)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)
% 0.20/0.54  % (6215)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)
% 0.20/0.54  % (6207)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)
% 1.37/0.55  TRYING [1]
% 1.37/0.55  TRYING [2]
% 1.37/0.55  % (6199)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)
% 1.37/0.55  % (6207)Instruction limit reached!
% 1.37/0.55  % (6207)------------------------------
% 1.37/0.55  % (6207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55  % (6207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55  % (6207)Termination reason: Unknown
% 1.37/0.55  % (6207)Termination phase: Finite model building SAT solving
% 1.37/0.55  
% 1.37/0.55  % (6207)Memory used [KB]: 6012
% 1.37/0.55  % (6207)Time elapsed: 0.078 s
% 1.37/0.55  % (6207)Instructions burned: 7 (million)
% 1.37/0.55  % (6207)------------------------------
% 1.37/0.55  % (6207)------------------------------
% 1.37/0.56  % (6214)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)
% 1.62/0.56  % (6196)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)
% 1.62/0.56  % (6202)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)
% 1.62/0.58  % (6193)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)
% 1.62/0.58  % (6194)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)
% 1.62/0.58  % (6220)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)
% 1.62/0.59  % (6219)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)
% 1.62/0.59  % (6221)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)
% 1.62/0.59  % (6194)Instruction limit reached!
% 1.62/0.59  % (6194)------------------------------
% 1.62/0.59  % (6194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59  % (6194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59  % (6194)Termination reason: Unknown
% 1.62/0.59  % (6194)Termination phase: Saturation
% 1.62/0.59  
% 1.62/0.59  % (6194)Memory used [KB]: 5884
% 1.62/0.59  % (6194)Time elapsed: 0.172 s
% 1.62/0.59  % (6194)Instructions burned: 4 (million)
% 1.62/0.59  % (6194)------------------------------
% 1.62/0.59  % (6194)------------------------------
% 1.62/0.59  % (6219)Refutation not found, incomplete strategy% (6219)------------------------------
% 1.62/0.59  % (6219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59  % (6219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59  % (6219)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.59  
% 1.62/0.59  % (6219)Memory used [KB]: 1407
% 1.62/0.59  % (6219)Time elapsed: 0.170 s
% 1.62/0.59  % (6219)Instructions burned: 2 (million)
% 1.62/0.59  % (6219)------------------------------
% 1.62/0.59  % (6219)------------------------------
% 1.62/0.59  % (6195)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)
% 1.62/0.59  % (6197)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.62/0.59  % (6202)Instruction limit reached!
% 1.62/0.59  % (6202)------------------------------
% 1.62/0.59  % (6202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59  % (6202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59  % (6202)Termination reason: Unknown
% 1.62/0.59  % (6202)Termination phase: Saturation
% 1.62/0.59  
% 1.62/0.59  % (6202)Memory used [KB]: 5884
% 1.62/0.59  % (6202)Time elapsed: 0.182 s
% 1.62/0.59  % (6202)Instructions burned: 6 (million)
% 1.62/0.59  % (6202)------------------------------
% 1.62/0.59  % (6202)------------------------------
% 1.62/0.59  % (6217)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)
% 1.62/0.59  % (6196)First to succeed.
% 1.62/0.59  % (6218)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)
% 1.62/0.59  % (6192)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.62/0.59  % (6196)Refutation found. Thanks to Tanya!
% 1.62/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.62/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.59  % (6196)------------------------------
% 1.62/0.59  % (6196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59  % (6196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59  % (6196)Termination reason: Refutation
% 1.62/0.59  
% 1.62/0.59  % (6196)Memory used [KB]: 6012
% 1.62/0.59  % (6196)Time elapsed: 0.186 s
% 1.62/0.59  % (6196)Instructions burned: 9 (million)
% 1.62/0.59  % (6196)------------------------------
% 1.62/0.59  % (6196)------------------------------
% 1.62/0.59  % (6191)Success in time 0.243 s
%------------------------------------------------------------------------------