TSTP Solution File: GEO010-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO010-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n017.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 16:11:29 EDT 2022

% Result   : Unsatisfiable 1.50s 0.55s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   28 (   6 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  103 (  57   ~;  46   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f164,plain,
    $false,
    inference(subsumption_resolution,[],[f163,f154]) ).

fof(f154,plain,
    ~ between(b,c,a),
    inference(subsumption_resolution,[],[f153,f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | ~ between(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity1) ).

fof(f153,plain,
    ( ~ colinear(b,c,a)
    | ~ between(b,c,a) ),
    inference(subsumption_resolution,[],[f152,f88]) ).

fof(f88,axiom,
    ! [X3,X10,X5] :
      ( colinear(X10,X3,X5)
      | ~ between(X5,X3,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_1) ).

fof(f152,plain,
    ( ~ colinear(a,c,b)
    | ~ colinear(b,c,a)
    | ~ between(b,c,a) ),
    inference(subsumption_resolution,[],[f151,f89]) ).

fof(f89,axiom,
    ! [X3,X10,X5] :
      ( colinear(X10,X3,X5)
      | ~ between(X10,X5,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_2) ).

fof(f151,plain,
    ( ~ colinear(b,a,c)
    | ~ colinear(b,c,a)
    | ~ colinear(a,c,b)
    | ~ between(b,c,a) ),
    inference(subsumption_resolution,[],[f150,f21]) ).

fof(f21,axiom,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | ~ between(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity3) ).

fof(f150,plain,
    ( ~ colinear(c,a,b)
    | ~ between(b,c,a)
    | ~ colinear(b,c,a)
    | ~ colinear(a,c,b)
    | ~ colinear(b,a,c) ),
    inference(resolution,[],[f90,f92]) ).

fof(f92,axiom,
    ( ~ colinear(c,b,a)
    | ~ colinear(b,a,c)
    | ~ colinear(c,a,b)
    | ~ colinear(b,c,a)
    | ~ colinear(a,c,b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_colinear_in_all_orders) ).

fof(f90,axiom,
    ! [X3,X10,X5] :
      ( colinear(X10,X3,X5)
      | ~ between(X3,X10,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2_3) ).

fof(f163,plain,
    between(b,c,a),
    inference(subsumption_resolution,[],[f162,f141]) ).

fof(f141,plain,
    ~ between(c,a,b),
    inference(subsumption_resolution,[],[f140,f88]) ).

fof(f140,plain,
    ( ~ between(c,a,b)
    | ~ colinear(b,a,c) ),
    inference(subsumption_resolution,[],[f139,f19]) ).

fof(f139,plain,
    ( ~ colinear(c,a,b)
    | ~ colinear(b,a,c)
    | ~ between(c,a,b) ),
    inference(subsumption_resolution,[],[f138,f90]) ).

fof(f138,plain,
    ( ~ colinear(a,c,b)
    | ~ colinear(b,a,c)
    | ~ between(c,a,b)
    | ~ colinear(c,a,b) ),
    inference(subsumption_resolution,[],[f137,f20]) ).

fof(f20,axiom,
    ! [X2,X0,X1] :
      ( colinear(X0,X1,X2)
      | ~ between(X1,X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity2) ).

fof(f137,plain,
    ( ~ between(c,a,b)
    | ~ colinear(a,c,b)
    | ~ colinear(b,a,c)
    | ~ colinear(b,c,a)
    | ~ colinear(c,a,b) ),
    inference(resolution,[],[f89,f92]) ).

fof(f162,plain,
    ( between(c,a,b)
    | between(b,c,a) ),
    inference(subsumption_resolution,[],[f155,f134]) ).

fof(f134,plain,
    ~ between(a,b,c),
    inference(subsumption_resolution,[],[f133,f90]) ).

fof(f133,plain,
    ( ~ colinear(b,a,c)
    | ~ between(a,b,c) ),
    inference(subsumption_resolution,[],[f132,f89]) ).

fof(f132,plain,
    ( ~ colinear(a,c,b)
    | ~ colinear(b,a,c)
    | ~ between(a,b,c) ),
    inference(subsumption_resolution,[],[f131,f20]) ).

fof(f131,plain,
    ( ~ colinear(b,a,c)
    | ~ colinear(a,c,b)
    | ~ between(a,b,c)
    | ~ colinear(c,a,b) ),
    inference(subsumption_resolution,[],[f130,f21]) ).

fof(f130,plain,
    ( ~ colinear(b,a,c)
    | ~ between(a,b,c)
    | ~ colinear(a,c,b)
    | ~ colinear(b,c,a)
    | ~ colinear(c,a,b) ),
    inference(resolution,[],[f88,f92]) ).

fof(f155,plain,
    ( between(a,b,c)
    | between(b,c,a)
    | between(c,a,b) ),
    inference(resolution,[],[f22,f91]) ).

fof(f91,axiom,
    colinear(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abc_colinear) ).

fof(f22,axiom,
    ! [X2,X0,X1] :
      ( ~ colinear(X0,X1,X2)
      | between(X1,X2,X0)
      | between(X2,X0,X1)
      | between(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',colinearity4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO010-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n017.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   : Mon Aug 29 20:21:50 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.49  % (28050)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)
% 0.21/0.51  % (28065)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)
% 0.21/0.51  % (28063)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51  % (28057)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51  % (28053)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)
% 1.31/0.52  % (28058)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/0.52  % (28058)Instruction limit reached!
% 1.31/0.52  % (28058)------------------------------
% 1.31/0.52  % (28058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.52  % (28058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.52  % (28058)Termination reason: Unknown
% 1.31/0.52  % (28058)Termination phase: shuffling
% 1.31/0.52  
% 1.31/0.52  % (28058)Memory used [KB]: 895
% 1.31/0.52  % (28058)Time elapsed: 0.002 s
% 1.31/0.52  % (28058)Instructions burned: 2 (million)
% 1.31/0.52  % (28058)------------------------------
% 1.31/0.52  % (28058)------------------------------
% 1.31/0.52  % (28078)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.31/0.52  % (28066)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)
% 1.31/0.52  % (28072)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)
% 1.31/0.53  % (28052)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)
% 1.31/0.53  % (28055)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)
% 1.31/0.53  % (28051)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)
% 1.31/0.53  % (28062)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.31/0.53  % (28073)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)
% 1.31/0.53  % (28052)First to succeed.
% 1.31/0.53  % (28068)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.31/0.54  % (28057)Instruction limit reached!
% 1.31/0.54  % (28057)------------------------------
% 1.31/0.54  % (28057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (28057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (28057)Termination reason: Unknown
% 1.31/0.54  % (28057)Termination phase: Saturation
% 1.31/0.54  
% 1.31/0.54  % (28057)Memory used [KB]: 5500
% 1.31/0.54  % (28057)Time elapsed: 0.127 s
% 1.31/0.54  % (28057)Instructions burned: 7 (million)
% 1.31/0.54  % (28057)------------------------------
% 1.31/0.54  % (28057)------------------------------
% 1.31/0.54  % (28074)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.31/0.54  % (28064)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)
% 1.31/0.54  % (28054)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.54  TRYING [3]
% 1.31/0.54  % (28067)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.31/0.54  % (28079)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)
% 1.50/0.54  % (28060)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.54  % (28056)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)
% 1.50/0.54  % (28077)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)
% 1.50/0.54  % (28075)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.50/0.55  % (28076)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)
% 1.50/0.55  % (28071)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.50/0.55  % (28070)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)
% 1.50/0.55  % (28059)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)
% 1.50/0.55  % (28061)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)
% 1.50/0.55  % (28052)Refutation found. Thanks to Tanya!
% 1.50/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.50/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.56  % (28052)------------------------------
% 1.50/0.56  % (28052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56  % (28052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56  % (28052)Termination reason: Refutation
% 1.50/0.56  
% 1.50/0.56  % (28052)Memory used [KB]: 1023
% 1.50/0.56  % (28052)Time elapsed: 0.126 s
% 1.50/0.56  % (28052)Instructions burned: 11 (million)
% 1.50/0.56  % (28052)------------------------------
% 1.50/0.56  % (28052)------------------------------
% 1.50/0.56  % (28049)Success in time 0.205 s
%------------------------------------------------------------------------------