TSTP Solution File: GEO002-4 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% 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 : n011.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 16:11:25 EDT 2022

% Result   : Unsatisfiable 1.80s 0.62s
% Output   : Refutation 1.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (   8 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   65 (  33   ~;  32   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-5 aty)
%            Number of variables   :   86 (  86   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(resolution,[],[f66,f8]) ).

fof(f8,axiom,
    ~ between(a,a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_between_a_and_b) ).

fof(f66,plain,
    ! [X16,X17] : between(X16,X16,X17),
    inference(resolution,[],[f59,f42]) ).

fof(f42,plain,
    ! [X16,X17] : between(X16,X17,X17),
    inference(resolution,[],[f35,f13]) ).

fof(f13,plain,
    ! [X0] : between(X0,X0,X0),
    inference(resolution,[],[f10,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1,X4] : between(X0,X1,extension(X0,X1,X4,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).

fof(f10,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,extension(X1,X2,X3,X4))
      | between(X0,X1,X2) ),
    inference(resolution,[],[f1,f5]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X3,X2)
      | ~ between(X0,X1,X2)
      | between(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_betweeness) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ between(X0,X1,X0)
      | between(X2,X0,X1) ),
    inference(resolution,[],[f16,f5]) ).

fof(f16,plain,
    ! [X3,X8,X6,X7,X4,X5] :
      ( ~ between(X6,X3,extension(X7,X5,X8,X8))
      | ~ between(X3,X4,X5)
      | between(X6,X3,X4) ),
    inference(resolution,[],[f11,f1]) ).

fof(f11,plain,
    ! [X2,X3,X0,X1,X4] :
      ( between(X0,X1,extension(X2,X3,X4,X4))
      | ~ between(X0,X1,X3) ),
    inference(resolution,[],[f9,f7]) ).

fof(f7,axiom,
    ! [X3,X0,X1,X4] :
      ( ~ equalish(X0,X1)
      | between(X4,X3,X1)
      | ~ between(X4,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_substitution3) ).

fof(f9,plain,
    ! [X2,X0,X1] : equalish(X0,extension(X1,X0,X2,X2)),
    inference(resolution,[],[f6,f2]) ).

fof(f2,axiom,
    ! [X3,X0,X1] :
      ( ~ equidistant(X0,X1,X3,X3)
      | equalish(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f6,axiom,
    ! [X2,X0,X1,X4] : equidistant(X1,extension(X0,X1,X4,X2),X4,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).

fof(f59,plain,
    ! [X26,X24,X25] :
      ( ~ between(X24,X25,X26)
      | between(X24,X24,X25) ),
    inference(resolution,[],[f52,f42]) ).

fof(f52,plain,
    ! [X31,X28,X29,X30] :
      ( ~ between(X29,X28,X31)
      | ~ between(X28,X29,X30)
      | between(X31,X28,X29) ),
    inference(resolution,[],[f33,f42]) ).

fof(f33,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X3,X2,X4)
      | ~ between(X1,X0,X3)
      | between(X4,X1,X0)
      | ~ between(X0,X1,X2) ),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X3,X2,X4)
      | ~ between(X0,X1,X2)
      | between(X4,X1,X0)
      | ~ between(X1,X0,X3)
      | ~ between(X3,X2,X4)
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f18,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( between(X3,X4,outer_pasch(X4,X0,X1,X3,X2))
      | ~ between(X1,X2,X3)
      | ~ between(X0,X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_pasch2) ).

fof(f18,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ between(X6,X3,outer_pasch(X5,X4,X0,X2,X1))
      | ~ between(X4,X5,X1)
      | ~ between(X3,X4,X0)
      | between(X6,X3,X4)
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f12,f1]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( between(X5,X0,outer_pasch(X1,X0,X3,X4,X2))
      | ~ between(X3,X2,X4)
      | ~ between(X5,X0,X3)
      | ~ between(X0,X1,X2) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( between(X0,outer_pasch(X4,X0,X1,X3,X2),X1)
      | ~ between(X0,X4,X2)
      | ~ between(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outer_pasch1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO002-4 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 20:52:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.57  % (22453)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)
% 1.63/0.57  % (22445)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.63/0.57  % (22445)Instruction limit reached!
% 1.63/0.57  % (22445)------------------------------
% 1.63/0.57  % (22445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57  % (22445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57  % (22445)Termination reason: Unknown
% 1.63/0.57  % (22445)Termination phase: Saturation
% 1.63/0.57  
% 1.63/0.57  % (22445)Memory used [KB]: 5373
% 1.63/0.57  % (22445)Time elapsed: 0.132 s
% 1.63/0.57  % (22445)Instructions burned: 2 (million)
% 1.63/0.57  % (22451)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)
% 1.63/0.57  % (22445)------------------------------
% 1.63/0.57  % (22445)------------------------------
% 1.63/0.57  % (22443)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)
% 1.63/0.57  TRYING [1]
% 1.63/0.57  % (22461)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.63/0.57  TRYING [2]
% 1.63/0.58  TRYING [3]
% 1.63/0.58  % (22459)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.80/0.59  % (22464)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)
% 1.80/0.60  % (22452)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)
% 1.80/0.60  % (22440)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)
% 1.80/0.60  % (22465)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.80/0.60  TRYING [4]
% 1.80/0.60  % (22441)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.80/0.60  % (22446)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)
% 1.80/0.60  % (22439)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)
% 1.80/0.61  % (22460)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)
% 1.80/0.61  % (22448)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)
% 1.80/0.61  % (22466)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)
% 1.80/0.61  % (22438)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)
% 1.80/0.61  % (22458)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.80/0.61  % (22438)Refutation not found, incomplete strategy% (22438)------------------------------
% 1.80/0.61  % (22438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61  % (22438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61  % (22438)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.61  
% 1.80/0.61  % (22438)Memory used [KB]: 5373
% 1.80/0.61  % (22438)Time elapsed: 0.146 s
% 1.80/0.61  % (22438)------------------------------
% 1.80/0.61  % (22438)------------------------------
% 1.80/0.61  % (22449)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.80/0.61  % (22456)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.80/0.61  % (22455)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.80/0.61  % (22457)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.80/0.61  % (22458)First to succeed.
% 1.80/0.62  % (22462)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.80/0.62  % (22458)Refutation found. Thanks to Tanya!
% 1.80/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.80/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.62  % (22458)------------------------------
% 1.80/0.62  % (22458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62  % (22458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62  % (22458)Termination reason: Refutation
% 1.80/0.62  
% 1.80/0.62  % (22458)Memory used [KB]: 5373
% 1.80/0.62  % (22458)Time elapsed: 0.191 s
% 1.80/0.62  % (22458)Instructions burned: 7 (million)
% 1.80/0.62  % (22458)------------------------------
% 1.80/0.62  % (22458)------------------------------
% 1.80/0.62  % (22436)Success in time 0.259 s
%------------------------------------------------------------------------------