TSTP Solution File: LCL069-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LCL069-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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 : n005.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 17:38:42 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   38 (  23   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f247,plain,
    $false,
    inference(resolution,[],[f243,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_19) ).

fof(f243,plain,
    ! [X2,X1] : ~ is_a_theorem(implies(implies(X1,X2),implies(not(a),b))),
    inference(resolution,[],[f236,f23]) ).

fof(f23,plain,
    ! [X2,X3,X4] :
      ( is_a_theorem(implies(not(X2),X3))
      | ~ is_a_theorem(implies(implies(X2,X4),X3)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_37) ).

fof(f236,plain,
    ! [X0] : ~ is_a_theorem(implies(not(X0),implies(not(a),b))),
    inference(resolution,[],[f234,f26]) ).

fof(f26,plain,
    ! [X3,X4,X5] :
      ( is_a_theorem(implies(implies(X3,X4),implies(implies(X5,X3),X4)))
      | ~ is_a_theorem(implies(not(X5),X4)) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X2),implies(implies(X1,X2),implies(implies(X0,X1),X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_59) ).

fof(f234,plain,
    ! [X0,X1] : ~ is_a_theorem(implies(implies(a,X0),implies(implies(X1,a),implies(not(a),b)))),
    inference(resolution,[],[f216,f23]) ).

fof(f216,plain,
    ! [X0] : ~ is_a_theorem(implies(not(a),implies(implies(X0,a),implies(not(a),b)))),
    inference(resolution,[],[f212,f2]) ).

fof(f212,plain,
    ! [X4] :
      ( ~ is_a_theorem(implies(X4,implies(a,implies(not(a),b))))
      | ~ is_a_theorem(implies(not(a),X4)) ),
    inference(resolution,[],[f151,f7]) ).

fof(f7,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(resolution,[],[f6,f2]) ).

fof(f6,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X0),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f2,f1]) ).

fof(f151,plain,
    ! [X6,X4,X5] :
      ( ~ is_a_theorem(implies(implies(X4,X6),implies(a,implies(not(a),b))))
      | ~ is_a_theorem(implies(X5,implies(a,implies(not(a),b))))
      | ~ is_a_theorem(implies(X4,X5)) ),
    inference(resolution,[],[f109,f23]) ).

fof(f109,plain,
    ! [X18,X19] :
      ( ~ is_a_theorem(implies(not(X18),implies(a,implies(not(a),b))))
      | ~ is_a_theorem(implies(X18,X19))
      | ~ is_a_theorem(implies(X19,implies(a,implies(not(a),b)))) ),
    inference(resolution,[],[f78,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(a,implies(not(a),b))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_3) ).

fof(f78,plain,
    ! [X6,X4,X5] :
      ( is_a_theorem(X5)
      | ~ is_a_theorem(implies(not(X6),X5))
      | ~ is_a_theorem(implies(X6,X4))
      | ~ is_a_theorem(implies(X4,X5)) ),
    inference(resolution,[],[f55,f1]) ).

fof(f55,plain,
    ! [X3,X4,X5] :
      ( is_a_theorem(implies(implies(X3,X5),X4))
      | ~ is_a_theorem(implies(X5,X4))
      | ~ is_a_theorem(implies(not(X3),X4)) ),
    inference(resolution,[],[f26,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LCL069-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 01:32:48 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.45  % (26718)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.48  % (26744)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)
% 0.20/0.48  % (26734)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)
% 0.20/0.48  % (26734)Instruction limit reached!
% 0.20/0.48  % (26734)------------------------------
% 0.20/0.48  % (26734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (26734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (26734)Termination reason: Unknown
% 0.20/0.48  % (26734)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (26734)Memory used [KB]: 5756
% 0.20/0.48  % (26734)Time elapsed: 0.099 s
% 0.20/0.48  % (26734)Instructions burned: 2 (million)
% 0.20/0.48  % (26734)------------------------------
% 0.20/0.48  % (26734)------------------------------
% 0.20/0.48  % (26744)Refutation not found, incomplete strategy% (26744)------------------------------
% 0.20/0.48  % (26744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (26744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (26744)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48  
% 0.20/0.48  % (26744)Memory used [KB]: 5756
% 0.20/0.48  % (26744)Time elapsed: 0.104 s
% 0.20/0.48  % (26744)Instructions burned: 2 (million)
% 0.20/0.48  % (26744)------------------------------
% 0.20/0.48  % (26744)------------------------------
% 0.20/0.48  % (26726)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)
% 0.20/0.48  % (26726)Instruction limit reached!
% 0.20/0.48  % (26726)------------------------------
% 0.20/0.48  % (26726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (26726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (26726)Termination reason: Unknown
% 0.20/0.48  % (26726)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (26726)Memory used [KB]: 5756
% 0.20/0.48  % (26726)Time elapsed: 0.109 s
% 0.20/0.48  % (26726)Instructions burned: 3 (million)
% 0.20/0.48  % (26726)------------------------------
% 0.20/0.48  % (26726)------------------------------
% 0.20/0.50  % (26719)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)
% 0.20/0.50  % (26719)Refutation not found, incomplete strategy% (26719)------------------------------
% 0.20/0.50  % (26719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (26719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (26719)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (26719)Memory used [KB]: 1279
% 0.20/0.50  % (26719)Time elapsed: 0.102 s
% 0.20/0.50  % (26719)------------------------------
% 0.20/0.50  % (26719)------------------------------
% 0.20/0.50  % (26720)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)
% 0.20/0.50  % (26727)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)
% 0.20/0.51  % (26735)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.51  % (26727)Refutation not found, incomplete strategy% (26727)------------------------------
% 0.20/0.51  % (26727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (26727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (26727)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (26727)Memory used [KB]: 5756
% 0.20/0.51  % (26727)Time elapsed: 0.109 s
% 0.20/0.51  % (26727)Instructions burned: 1 (million)
% 0.20/0.51  % (26727)------------------------------
% 0.20/0.51  % (26727)------------------------------
% 0.20/0.51  % (26733)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)
% 0.20/0.51  TRYING [1]
% 0.20/0.51  % (26720)Instruction limit reached!
% 0.20/0.51  % (26720)------------------------------
% 0.20/0.51  % (26720)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (26720)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (26720)Termination reason: Unknown
% 0.20/0.51  % (26720)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (26720)Memory used [KB]: 5884
% 0.20/0.51  % (26720)Time elapsed: 0.114 s
% 0.20/0.51  % (26720)Instructions burned: 5 (million)
% 0.20/0.51  % (26720)------------------------------
% 0.20/0.51  % (26720)------------------------------
% 0.20/0.51  TRYING [2]
% 0.20/0.51  % (26735)Instruction limit reached!
% 0.20/0.51  % (26735)------------------------------
% 0.20/0.51  % (26735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (26735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (26735)Termination reason: Unknown
% 0.20/0.51  % (26735)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (26735)Memory used [KB]: 5884
% 0.20/0.51  % (26735)Time elapsed: 0.112 s
% 0.20/0.51  % (26735)Instructions burned: 9 (million)
% 0.20/0.51  % (26735)------------------------------
% 0.20/0.51  % (26735)------------------------------
% 0.20/0.51  % (26724)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)
% 0.20/0.51  % (26732)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)
% 0.20/0.52  % (26728)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)
% 0.20/0.52  % (26722)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)
% 0.20/0.52  % (26723)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (26739)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)
% 0.20/0.53  % (26725)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)
% 0.20/0.53  % (26737)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)
% 0.20/0.53  % (26742)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)
% 0.20/0.53  % (26736)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)
% 0.20/0.53  % (26745)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)
% 0.20/0.53  % (26731)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)
% 0.20/0.53  % (26736)Refutation not found, incomplete strategy% (26736)------------------------------
% 0.20/0.53  % (26736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (26736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (26736)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (26736)Memory used [KB]: 10234
% 0.20/0.53  % (26736)Time elapsed: 0.136 s
% 0.20/0.53  % (26736)Instructions burned: 1 (million)
% 0.20/0.53  % (26736)------------------------------
% 0.20/0.53  % (26736)------------------------------
% 0.20/0.53  % (26740)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)
% 0.20/0.53  % (26741)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)
% 0.20/0.53  % (26731)Instruction limit reached!
% 0.20/0.53  % (26731)------------------------------
% 0.20/0.53  % (26731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (26731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (26731)Termination reason: Unknown
% 0.20/0.53  % (26731)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (26731)Memory used [KB]: 5884
% 0.20/0.53  % (26731)Time elapsed: 0.139 s
% 0.20/0.53  % (26731)Instructions burned: 4 (million)
% 0.20/0.53  % (26731)------------------------------
% 0.20/0.53  % (26731)------------------------------
% 0.20/0.53  % (26746)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)
% 0.20/0.53  % (26721)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)
% 0.20/0.54  % (26745)Refutation not found, incomplete strategy% (26745)------------------------------
% 0.20/0.54  % (26745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (26745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (26745)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (26745)Memory used [KB]: 1279
% 0.20/0.54  % (26745)Time elapsed: 0.137 s
% 0.20/0.54  % (26745)Instructions burned: 1 (million)
% 0.20/0.54  % (26745)------------------------------
% 0.20/0.54  % (26745)------------------------------
% 0.20/0.54  % (26723)First to succeed.
% 0.20/0.54  % (26728)Instruction limit reached!
% 0.20/0.54  % (26728)------------------------------
% 0.20/0.54  % (26728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (26728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (26728)Termination reason: Unknown
% 0.20/0.54  % (26728)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (26728)Memory used [KB]: 5884
% 0.20/0.54  % (26728)Time elapsed: 0.120 s
% 0.20/0.54  % (26728)Instructions burned: 6 (million)
% 0.20/0.54  % (26728)------------------------------
% 0.20/0.54  % (26728)------------------------------
% 0.20/0.54  % (26723)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (26723)------------------------------
% 0.20/0.54  % (26723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (26723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (26723)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (26723)Memory used [KB]: 6012
% 0.20/0.54  % (26723)Time elapsed: 0.136 s
% 0.20/0.54  % (26723)Instructions burned: 13 (million)
% 0.20/0.54  % (26723)------------------------------
% 0.20/0.54  % (26723)------------------------------
% 0.20/0.54  % (26717)Success in time 0.187 s
%------------------------------------------------------------------------------