TSTP Solution File: GEO040-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO040-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n024.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 16:11:38 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   31 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  10   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-5 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f185,plain,
    $false,
    inference(avatar_sat_refutation,[],[f72,f184]) ).

fof(f184,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f171,f40]) ).

fof(f40,plain,
    ( spl0_1
  <=> u = v ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f171,plain,
    u = v,
    inference(resolution,[],[f170,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f170,plain,
    between(u,v,u),
    inference(forward_demodulation,[],[f169,f156]) ).

fof(f156,plain,
    v = inner_pasch(u,v,w,u,v),
    inference(resolution,[],[f139,f7]) ).

fof(f139,plain,
    between(v,inner_pasch(u,v,w,u,v),v),
    inference(resolution,[],[f30,f20]) ).

fof(f20,axiom,
    between(v,u,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_between_v_and_w) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ between(X1,X0,w)
      | between(v,inner_pasch(u,v,w,X0,X1),X1) ),
    inference(resolution,[],[f8,f19]) ).

fof(f19,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f8,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( ~ between(X10,X3,X5)
      | between(X3,inner_pasch(X10,X3,X5,X0,X1),X1)
      | ~ between(X1,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).

fof(f169,plain,
    between(u,inner_pasch(u,v,w,u,v),u),
    inference(resolution,[],[f33,f20]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ between(X1,X0,w)
      | between(X0,inner_pasch(u,v,w,X0,X1),u) ),
    inference(resolution,[],[f9,f19]) ).

fof(f9,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( ~ between(X10,X3,X5)
      | between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
      | ~ between(X1,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).

fof(f72,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f71]) ).

fof(f71,plain,
    ( $false
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f64]) ).

fof(f64,plain,
    ( u != u
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f21,f42]) ).

fof(f42,plain,
    ( u = v
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f21,axiom,
    u != v,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_u_is_v) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GEO040-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n024.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 21:03:19 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (18623)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51  % (18624)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (18630)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (18633)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51  % (18635)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (18642)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52  % (18636)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52  % (18622)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (18632)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (18627)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (18618)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52  % (18619)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  TRYING [1]
% 0.20/0.52  TRYING [2]
% 0.20/0.52  % (18619)Refutation not found, incomplete strategy% (18619)------------------------------
% 0.20/0.52  % (18619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (18628)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (18634)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52  % (18619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (18619)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (18619)Memory used [KB]: 5500
% 0.20/0.52  % (18619)Time elapsed: 0.088 s
% 0.20/0.52  % (18619)Instructions burned: 2 (million)
% 0.20/0.52  % (18619)------------------------------
% 0.20/0.52  % (18619)------------------------------
% 0.20/0.52  % (18650)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52  % (18620)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52  TRYING [3]
% 0.20/0.52  % (18629)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (18631)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52  % (18644)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53  % (18621)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (18625)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  TRYING [1]
% 0.20/0.53  TRYING [2]
% 0.20/0.53  % (18646)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53  % (18625)Instruction limit reached!
% 0.20/0.53  % (18625)------------------------------
% 0.20/0.53  % (18625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (18625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (18625)Termination reason: Unknown
% 0.20/0.53  % (18625)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (18625)Memory used [KB]: 5500
% 0.20/0.53  % (18625)Time elapsed: 0.093 s
% 0.20/0.53  % (18625)Instructions burned: 7 (million)
% 0.20/0.53  % (18625)------------------------------
% 0.20/0.53  % (18625)------------------------------
% 0.20/0.54  TRYING [3]
% 0.20/0.54  % (18648)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54  % (18649)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (18640)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54  % (18643)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (18627)Instruction limit reached!
% 0.20/0.54  % (18627)------------------------------
% 0.20/0.54  % (18627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (18627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (18627)Termination reason: Unknown
% 0.20/0.54  % (18627)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (18627)Memory used [KB]: 5373
% 0.20/0.54  % (18627)Time elapsed: 0.143 s
% 0.20/0.54  % (18627)Instructions burned: 3 (million)
% 0.20/0.54  % (18627)------------------------------
% 0.20/0.54  % (18627)------------------------------
% 0.20/0.54  TRYING [1]
% 0.20/0.54  TRYING [2]
% 0.20/0.54  % (18650)First to succeed.
% 0.20/0.54  % (18634)Also succeeded, but the first one will report.
% 0.20/0.54  % (18650)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  % (18650)------------------------------
% 0.20/0.54  % (18650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (18650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (18650)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (18650)Memory used [KB]: 5628
% 0.20/0.54  % (18650)Time elapsed: 0.134 s
% 0.20/0.54  % (18650)Instructions burned: 9 (million)
% 0.20/0.54  % (18650)------------------------------
% 0.20/0.54  % (18650)------------------------------
% 0.20/0.54  % (18615)Success in time 0.187 s
%------------------------------------------------------------------------------