TSTP Solution File: GEO125-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO125-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n014.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 16:11:55 EDT 2022

% Result   : Unsatisfiable 2.07s 0.66s
% Output   : Refutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (   9 unt;   0 def)
%            Number of atoms       :   65 (  16 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   60 (  23   ~;  37   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-4 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f340,plain,
    $false,
    inference(subsumption_resolution,[],[f333,f102]) ).

fof(f102,plain,
    ! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
    inference(equality_resolution,[],[f49]) ).

fof(f49,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between_c(X0,X1,X2,X3)
      | X1 != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn_1) ).

fof(f333,plain,
    between_c(ax2_sk4(sk25,sk27,sk26,sk27),sk27,sk26,sk27),
    inference(resolution,[],[f322,f78]) ).

fof(f78,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between_o(X0,X1,X2,X3)
      | between_c(ax2_sk4(X0,X3,X2,X1),X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3_24) ).

fof(f322,plain,
    between_o(sk25,sk27,sk26,sk27),
    inference(subsumption_resolution,[],[f316,f99]) ).

fof(f99,axiom,
    sk26 != sk27,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2_135) ).

fof(f316,plain,
    ( between_o(sk25,sk27,sk26,sk27)
    | sk26 = sk27 ),
    inference(resolution,[],[f315,f277]) ).

fof(f277,plain,
    ! [X2,X3] :
      ( ~ ordered_by(sk25,X3,X2)
      | between_o(sk25,X3,X2,sk27)
      | sk27 = X2 ),
    inference(subsumption_resolution,[],[f273,f72]) ).

fof(f72,axiom,
    ! [X2,X0,X1] :
      ( ~ ordered_by(X0,X1,X2)
      | incident_o(X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o1_18) ).

fof(f273,plain,
    ! [X2,X3] :
      ( sk27 = X2
      | ~ ordered_by(sk25,X3,X2)
      | between_o(sk25,X3,X2,sk27)
      | ~ incident_o(X2,sk25) ),
    inference(resolution,[],[f265,f59]) ).

fof(f59,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ordered_by(X0,X2,X3)
      | ~ ordered_by(X0,X1,X2)
      | between_o(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn_5) ).

fof(f265,plain,
    ! [X1] :
      ( ordered_by(sk25,X1,sk27)
      | sk27 = X1
      | ~ incident_o(X1,sk25) ),
    inference(resolution,[],[f67,f98]) ).

fof(f98,axiom,
    finish_point(sk27,sk25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2_134) ).

fof(f67,axiom,
    ! [X2,X0,X1] :
      ( ~ finish_point(X0,X1)
      | ~ incident_o(X2,X1)
      | X0 = X2
      | ordered_by(X1,X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn_13) ).

fof(f315,plain,
    ordered_by(sk25,sk27,sk26),
    inference(subsumption_resolution,[],[f314,f99]) ).

fof(f314,plain,
    ( sk26 = sk27
    | ordered_by(sk25,sk27,sk26) ),
    inference(duplicate_literal_removal,[],[f312]) ).

fof(f312,plain,
    ( ordered_by(sk25,sk27,sk26)
    | ordered_by(sk25,sk27,sk26)
    | sk26 = sk27 ),
    inference(resolution,[],[f282,f113]) ).

fof(f113,plain,
    incident_o(sk26,sk25),
    inference(resolution,[],[f66,f97]) ).

fof(f97,axiom,
    finish_point(sk26,sk25),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2_133) ).

fof(f66,axiom,
    ! [X0,X1] :
      ( ~ finish_point(X0,X1)
      | incident_o(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn_12) ).

fof(f282,plain,
    ! [X1] :
      ( ~ incident_o(X1,sk25)
      | ordered_by(sk25,sk27,sk26)
      | sk27 = X1
      | ordered_by(sk25,sk27,X1) ),
    inference(resolution,[],[f280,f58]) ).

fof(f58,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between_o(X0,X1,X2,X3)
      | ordered_by(X0,X2,X1)
      | ordered_by(X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn_4) ).

fof(f280,plain,
    ! [X1] :
      ( between_o(sk25,X1,sk27,sk26)
      | ~ incident_o(X1,sk25)
      | sk27 = X1 ),
    inference(subsumption_resolution,[],[f279,f99]) ).

fof(f279,plain,
    ! [X1] :
      ( between_o(sk25,X1,sk27,sk26)
      | sk26 = sk27
      | ~ incident_o(X1,sk25)
      | sk27 = X1 ),
    inference(resolution,[],[f271,f265]) ).

fof(f271,plain,
    ! [X2,X3] :
      ( ~ ordered_by(sk25,X3,X2)
      | between_o(sk25,X3,X2,sk26)
      | sk26 = X2 ),
    inference(subsumption_resolution,[],[f267,f72]) ).

fof(f267,plain,
    ! [X2,X3] :
      ( ~ incident_o(X2,sk25)
      | between_o(sk25,X3,X2,sk26)
      | sk26 = X2
      | ~ ordered_by(sk25,X3,X2) ),
    inference(resolution,[],[f264,f59]) ).

fof(f264,plain,
    ! [X0] :
      ( ordered_by(sk25,X0,sk26)
      | sk26 = X0
      | ~ incident_o(X0,sk25) ),
    inference(resolution,[],[f67,f97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GEO125-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35  % Computer : n014.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 29 21:17:48 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.21/0.56  % (14012)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56  % (14011)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)
% 0.21/0.56  % (14012)Instruction limit reached!
% 0.21/0.56  % (14012)------------------------------
% 0.21/0.56  % (14012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (14028)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)
% 0.21/0.57  % (14021)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)
% 0.21/0.58  TRYING [1]
% 0.21/0.58  % (14027)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)
% 0.21/0.58  % (14019)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)
% 0.21/0.59  TRYING [2]
% 0.21/0.59  % (14012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (14012)Termination reason: Unknown
% 0.21/0.59  % (14012)Termination phase: Saturation
% 0.21/0.59  
% 0.21/0.59  % (14012)Memory used [KB]: 5500
% 0.21/0.59  % (14012)Time elapsed: 0.126 s
% 0.21/0.59  % (14012)Instructions burned: 8 (million)
% 0.21/0.59  % (14012)------------------------------
% 0.21/0.59  % (14012)------------------------------
% 0.21/0.61  % (14009)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.61  TRYING [3]
% 1.87/0.62  % (14018)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.87/0.62  % (14007)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)
% 1.87/0.62  % (14010)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)
% 1.87/0.62  % (14030)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.87/0.62  % (14013)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.87/0.62  % (14014)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)
% 1.87/0.62  % (14032)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)
% 1.87/0.62  % (14013)Instruction limit reached!
% 1.87/0.62  % (14013)------------------------------
% 1.87/0.62  % (14013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62  % (14033)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.87/0.62  % (14005)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)
% 1.87/0.63  % (14022)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.87/0.63  TRYING [1]
% 1.87/0.63  % (14011)Instruction limit reached!
% 1.87/0.63  % (14011)------------------------------
% 1.87/0.63  % (14011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.63  % (14011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.63  % (14011)Termination reason: Unknown
% 1.87/0.63  % (14011)Termination phase: Finite model building constraint generation
% 1.87/0.63  
% 1.87/0.63  % (14011)Memory used [KB]: 8571
% 1.87/0.63  % (14011)Time elapsed: 0.162 s
% 1.87/0.63  % (14011)Instructions burned: 51 (million)
% 1.87/0.63  % (14011)------------------------------
% 1.87/0.63  % (14011)------------------------------
% 1.87/0.63  TRYING [2]
% 1.87/0.63  % (14023)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.87/0.63  % (14024)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)
% 1.87/0.63  % (14029)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.87/0.63  % (14026)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.87/0.63  % (14031)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)
% 2.07/0.63  % (14008)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)
% 2.07/0.63  % (14025)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)
% 2.07/0.64  % (14020)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)
% 2.07/0.64  % (14034)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)
% 2.07/0.64  TRYING [1]
% 2.07/0.64  TRYING [2]
% 2.07/0.64  % (14017)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.07/0.64  % (14016)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)
% 2.07/0.64  % (14013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64  % (14013)Termination reason: Unknown
% 2.07/0.64  % (14013)Termination phase: Blocked clause elimination
% 2.07/0.64  
% 2.07/0.64  % (14013)Memory used [KB]: 1023
% 2.07/0.64  % (14013)Time elapsed: 0.003 s
% 2.07/0.64  % (14013)Instructions burned: 4 (million)
% 2.07/0.64  % (14013)------------------------------
% 2.07/0.64  % (14013)------------------------------
% 2.07/0.64  % (14015)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.07/0.65  TRYING [3]
% 2.07/0.65  % (14006)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)
% 2.07/0.65  % (14020)First to succeed.
% 2.07/0.65  TRYING [3]
% 2.07/0.66  % (14020)Refutation found. Thanks to Tanya!
% 2.07/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.07/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.66  % (14020)------------------------------
% 2.07/0.66  % (14020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.66  % (14020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.66  % (14020)Termination reason: Refutation
% 2.07/0.66  
% 2.07/0.66  % (14020)Memory used [KB]: 1279
% 2.07/0.66  % (14020)Time elapsed: 0.215 s
% 2.07/0.66  % (14020)Instructions burned: 17 (million)
% 2.07/0.66  % (14020)------------------------------
% 2.07/0.66  % (14020)------------------------------
% 2.07/0.66  % (14004)Success in time 0.29 s
%------------------------------------------------------------------------------