TSTP Solution File: GEO126-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO126-1 : 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 2.38s 0.68s
% Output   : Refutation 2.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (  11 unt;   0 def)
%            Number of atoms       :   53 (  14 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   47 (  23   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f416,plain,
    $false,
    inference(subsumption_resolution,[],[f408,f127]) ).

fof(f127,plain,
    ! [X0] : ax0_sk7(ax2_sk3(X0)) != ax0_sk11(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[],[f42,f108]) ).

fof(f108,plain,
    ! [X0] : end_point(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[],[f33,f73]) ).

fof(f73,axiom,
    ! [X0] : open(ax2_sk3(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2_19) ).

fof(f33,axiom,
    ! [X0] :
      ( ~ open(X0)
      | end_point(ax0_sk7(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn_33) ).

fof(f42,axiom,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | ax0_sk11(X0,X1) != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_42) ).

fof(f408,plain,
    ax0_sk7(ax2_sk3(sk25)) = ax0_sk11(ax0_sk7(ax2_sk3(sk25)),ax2_sk3(sk25)),
    inference(resolution,[],[f373,f169]) ).

fof(f169,plain,
    ! [X0] : incident_c(ax0_sk11(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),underlying_curve(X0)),
    inference(resolution,[],[f164,f117]) ).

fof(f117,plain,
    ! [X3,X4] :
      ( ~ incident_c(X3,ax2_sk3(X4))
      | incident_c(X3,underlying_curve(X4)) ),
    inference(resolution,[],[f102,f75]) ).

fof(f75,axiom,
    ! [X0,X1] :
      ( incident_o(X0,X1)
      | ~ incident_c(X0,ax2_sk3(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2_21) ).

fof(f102,plain,
    ! [X2,X1] :
      ( ~ incident_o(X2,X1)
      | incident_c(X2,underlying_curve(X1)) ),
    inference(equality_resolution,[],[f91]) ).

fof(f91,axiom,
    ! [X2,X0,X1] :
      ( ~ incident_o(X2,X1)
      | incident_c(X2,X0)
      | underlying_curve(X1) != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn_37) ).

fof(f164,plain,
    ! [X0] : incident_c(ax0_sk11(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[],[f126,f108]) ).

fof(f126,plain,
    ! [X4,X5] :
      ( ~ end_point(X4,X5)
      | incident_c(ax0_sk11(X4,X5),X5) ),
    inference(resolution,[],[f41,f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | incident_c(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn_13) ).

fof(f41,axiom,
    ! [X0,X1] :
      ( end_point(ax0_sk11(X0,X1),X1)
      | ~ end_point(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6_41) ).

fof(f373,plain,
    ! [X0] :
      ( ~ incident_c(X0,underlying_curve(sk25))
      | ax0_sk7(ax2_sk3(sk25)) = X0 ),
    inference(backward_demodulation,[],[f349,f356]) ).

fof(f356,plain,
    ax2_sk6(sk25) = ax0_sk7(ax2_sk3(sk25)),
    inference(resolution,[],[f349,f136]) ).

fof(f136,plain,
    ! [X3] : incident_c(ax0_sk7(ax2_sk3(X3)),underlying_curve(X3)),
    inference(resolution,[],[f117,f111]) ).

fof(f111,plain,
    ! [X0] : incident_c(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[],[f108,f13]) ).

fof(f349,plain,
    ! [X0] :
      ( ~ incident_c(X0,underlying_curve(sk25))
      | ax2_sk6(sk25) = X0 ),
    inference(resolution,[],[f347,f98]) ).

fof(f98,plain,
    ! [X2,X1] :
      ( incident_o(X2,X1)
      | ~ incident_c(X2,underlying_curve(X1)) ),
    inference(equality_resolution,[],[f92]) ).

fof(f92,axiom,
    ! [X2,X0,X1] :
      ( incident_o(X2,X1)
      | ~ incident_c(X2,X0)
      | underlying_curve(X1) != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',underlying_curve_defn_38) ).

fof(f347,plain,
    ! [X0] :
      ( ~ incident_o(X0,sk25)
      | ax2_sk6(sk25) = X0 ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f344,plain,
    ! [X0] :
      ( ax2_sk6(sk25) = X0
      | ax2_sk6(sk25) = X0
      | ~ incident_o(X0,sk25) ),
    inference(resolution,[],[f333,f97]) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( ~ ordered_by(sk25,X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_11_133) ).

fof(f333,plain,
    ! [X0,X1] :
      ( ordered_by(X0,ax2_sk6(X0),X1)
      | ~ incident_o(X1,X0)
      | ax2_sk6(X0) = X1 ),
    inference(resolution,[],[f62,f83]) ).

fof(f83,axiom,
    ! [X0] : start_point(ax2_sk6(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',o4_29) ).

fof(f62,axiom,
    ! [X2,X0,X1] :
      ( ~ start_point(X0,X1)
      | X0 = X2
      | ~ incident_o(X2,X1)
      | ordered_by(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO126-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 21:17:48 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 1.52/0.56  % (13973)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)
% 1.52/0.56  % (13981)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.52/0.56  % (13981)Instruction limit reached!
% 1.52/0.56  % (13981)------------------------------
% 1.52/0.56  % (13981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56  % (13981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56  % (13981)Termination reason: Unknown
% 1.52/0.56  % (13981)Termination phase: Blocked clause elimination
% 1.52/0.56  
% 1.52/0.56  % (13981)Memory used [KB]: 1023
% 1.52/0.56  % (13981)Time elapsed: 0.005 s
% 1.52/0.56  % (13981)Instructions burned: 3 (million)
% 1.52/0.56  % (13981)------------------------------
% 1.52/0.56  % (13981)------------------------------
% 1.52/0.58  % (13989)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)
% 1.52/0.58  TRYING [1]
% 1.72/0.58  % (13982)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)
% 1.72/0.58  TRYING [2]
% 1.72/0.59  % (13990)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.72/0.59  % (13977)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.72/0.60  % (13976)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)
% 1.72/0.60  % (13978)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)
% 1.72/0.60  % (13974)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)
% 1.72/0.60  % (13996)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)
% 1.72/0.61  TRYING [3]
% 1.72/0.61  % (13974)Refutation not found, incomplete strategy% (13974)------------------------------
% 1.72/0.61  % (13974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.61  % (13979)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)
% 1.72/0.61  % (13974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.61  % (13974)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.61  
% 1.72/0.61  % (13974)Memory used [KB]: 5628
% 1.72/0.61  % (13974)Time elapsed: 0.160 s
% 1.72/0.61  % (13974)Instructions burned: 6 (million)
% 1.72/0.61  % (13974)------------------------------
% 1.72/0.61  % (13974)------------------------------
% 1.72/0.61  % (13975)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)
% 1.72/0.62  % (13988)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)
% 1.72/0.62  % (14002)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)
% 1.72/0.62  TRYING [1]
% 1.72/0.62  TRYING [1]
% 1.72/0.62  TRYING [2]
% 1.72/0.62  % (13995)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)
% 1.72/0.63  % (13991)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.72/0.63  % (13992)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)
% 1.72/0.63  % (13993)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)
% 1.72/0.63  % (13994)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.72/0.63  % (13987)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)
% 1.72/0.63  % (13983)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.72/0.63  % (13985)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.72/0.63  % (13986)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.72/0.64  % (13999)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)
% 1.72/0.64  % (13984)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)
% 1.72/0.64  % (14000)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)
% 1.72/0.64  % (14001)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.72/0.64  % (13997)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.72/0.64  TRYING [2]
% 1.72/0.65  % (13980)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.72/0.65  % (13998)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.25/0.65  TRYING [3]
% 2.25/0.66  % (13980)Instruction limit reached!
% 2.25/0.66  % (13980)------------------------------
% 2.25/0.66  % (13980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.66  % (13980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.66  % (13980)Termination reason: Unknown
% 2.25/0.66  % (13980)Termination phase: Saturation
% 2.25/0.66  
% 2.25/0.66  % (13980)Memory used [KB]: 5500
% 2.25/0.66  % (13980)Time elapsed: 0.229 s
% 2.25/0.66  % (13980)Instructions burned: 8 (million)
% 2.25/0.66  % (13980)------------------------------
% 2.25/0.66  % (13980)------------------------------
% 2.38/0.67  TRYING [3]
% 2.38/0.68  % (13995)First to succeed.
% 2.38/0.68  % (13995)Refutation found. Thanks to Tanya!
% 2.38/0.68  % SZS status Unsatisfiable for theBenchmark
% 2.38/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.38/0.68  % (13995)------------------------------
% 2.38/0.68  % (13995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.68  % (13995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.68  % (13995)Termination reason: Refutation
% 2.38/0.68  
% 2.38/0.68  % (13995)Memory used [KB]: 1151
% 2.38/0.68  % (13995)Time elapsed: 0.248 s
% 2.38/0.68  % (13995)Instructions burned: 18 (million)
% 2.38/0.68  % (13995)------------------------------
% 2.38/0.68  % (13995)------------------------------
% 2.38/0.68  % (13972)Success in time 0.319 s
%------------------------------------------------------------------------------