TSTP Solution File: GEO053-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO053-3 : 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 : n007.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 16:11:40 EDT 2022

% Result   : Unsatisfiable 1.62s 0.59s
% Output   : Refutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   28 (   3 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   29 (  15   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f608,plain,
    $false,
    inference(subsumption_resolution,[],[f598,f85]) ).

fof(f85,axiom,
    v != w,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_equals_w) ).

fof(f598,plain,
    v = w,
    inference(resolution,[],[f590,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f590,plain,
    equidistant(v,w,w,w),
    inference(resolution,[],[f589,f84]) ).

fof(f84,axiom,
    equidistant(u,v,u,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u_to_w) ).

fof(f589,plain,
    ! [X8,X9] :
      ( ~ equidistant(u,v,X9,X8)
      | equidistant(v,w,X8,X8) ),
    inference(subsumption_resolution,[],[f586,f239]) ).

fof(f239,plain,
    ! [X8,X9] :
      ( ~ equidistant(u,v,X8,X9)
      | equidistant(u,w,X8,X9) ),
    inference(resolution,[],[f2,f84]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X5)
      | ~ equidistant(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

fof(f586,plain,
    ! [X8,X9] :
      ( ~ equidistant(u,w,X9,X8)
      | equidistant(v,w,X8,X8)
      | ~ equidistant(u,v,X9,X8) ),
    inference(resolution,[],[f467,f83]) ).

fof(f83,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f467,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,X2)
      | equidistant(X1,X2,X4,X4)
      | ~ equidistant(X0,X2,X3,X4)
      | ~ equidistant(X0,X1,X3,X4) ),
    inference(resolution,[],[f68,f45]) ).

fof(f45,axiom,
    ! [X3,X10] : between(X10,X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3) ).

fof(f68,axiom,
    ! [X3,X10,X11,X9,X5,X12] :
      ( ~ between(X11,X9,X12)
      | ~ between(X10,X3,X5)
      | ~ equidistant(X10,X5,X11,X12)
      | ~ equidistant(X10,X3,X11,X9)
      | equidistant(X3,X5,X9,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO053-3 : 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 : n007.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 20:48:00 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (13242)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48  % (13250)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)
% 0.20/0.48  % (13242)Instruction limit reached!
% 0.20/0.48  % (13242)------------------------------
% 0.20/0.48  % (13242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (13242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (13242)Termination reason: Unknown
% 0.20/0.48  % (13242)Termination phase: Blocked clause elimination
% 0.20/0.48  
% 0.20/0.48  % (13242)Memory used [KB]: 895
% 0.20/0.48  % (13242)Time elapsed: 0.004 s
% 0.20/0.48  % (13242)Instructions burned: 2 (million)
% 0.20/0.48  % (13242)------------------------------
% 0.20/0.48  % (13242)------------------------------
% 0.20/0.48  % (13240)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)
% 0.20/0.49  % (13258)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.49  % (13248)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)
% 0.20/0.50  % (13236)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)
% 0.20/0.50  % (13256)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)
% 0.20/0.50  % (13245)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)
% 0.20/0.50  % (13244)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (13259)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51  % (13241)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (13246)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  % (13241)Instruction limit reached!
% 0.20/0.51  % (13241)------------------------------
% 0.20/0.51  % (13241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (13241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (13241)Termination reason: Unknown
% 0.20/0.51  % (13241)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (13241)Memory used [KB]: 5500
% 0.20/0.51  % (13241)Time elapsed: 0.111 s
% 0.20/0.51  % (13241)Instructions burned: 7 (million)
% 0.20/0.51  % (13241)------------------------------
% 0.20/0.51  % (13241)------------------------------
% 0.20/0.51  % (13251)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51  % (13249)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)
% 0.20/0.51  % (13262)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51  TRYING [3]
% 0.20/0.51  % (13237)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)
% 0.20/0.51  % (13247)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  % (13260)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)
% 0.20/0.52  % (13238)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  % (13252)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (13261)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)
% 0.20/0.52  % (13257)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  % (13243)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  % (13239)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)
% 0.20/0.52  % (13253)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)
% 0.20/0.53  % (13254)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)
% 0.20/0.53  % (13255)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (13235)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)
% 0.20/0.53  % (13234)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)
% 0.20/0.54  TRYING [3]
% 1.31/0.54  % (13240)Instruction limit reached!
% 1.31/0.54  % (13240)------------------------------
% 1.31/0.54  % (13240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.54  % (13240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.54  % (13240)Termination reason: Unknown
% 1.31/0.54  % (13240)Termination phase: Finite model building constraint generation
% 1.31/0.54  
% 1.31/0.54  % (13240)Memory used [KB]: 10490
% 1.31/0.54  % (13240)Time elapsed: 0.118 s
% 1.31/0.54  % (13240)Instructions burned: 52 (million)
% 1.31/0.54  % (13240)------------------------------
% 1.31/0.54  % (13240)------------------------------
% 1.31/0.55  % (13236)Instruction limit reached!
% 1.31/0.55  % (13236)------------------------------
% 1.31/0.55  % (13236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.31/0.55  % (13236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.31/0.55  % (13236)Termination reason: Unknown
% 1.31/0.55  % (13236)Termination phase: Saturation
% 1.31/0.55  
% 1.31/0.55  % (13236)Memory used [KB]: 1279
% 1.31/0.55  % (13236)Time elapsed: 0.157 s
% 1.31/0.55  % (13236)Instructions burned: 37 (million)
% 1.31/0.55  % (13236)------------------------------
% 1.31/0.55  % (13236)------------------------------
% 1.31/0.56  % (13263)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)
% 1.62/0.56  TRYING [3]
% 1.62/0.57  % (13251)Instruction limit reached!
% 1.62/0.57  % (13251)------------------------------
% 1.62/0.57  % (13251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57  % (13251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57  % (13251)Termination reason: Unknown
% 1.62/0.57  % (13251)Termination phase: Finite model building constraint generation
% 1.62/0.57  
% 1.62/0.57  % (13251)Memory used [KB]: 11385
% 1.62/0.57  % (13251)Time elapsed: 0.122 s
% 1.62/0.57  % (13251)Instructions burned: 62 (million)
% 1.62/0.57  % (13251)------------------------------
% 1.62/0.57  % (13251)------------------------------
% 1.62/0.58  % (13257)First to succeed.
% 1.62/0.59  % (13257)Refutation found. Thanks to Tanya!
% 1.62/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.62/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.59  % (13257)------------------------------
% 1.62/0.59  % (13257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59  % (13257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59  % (13257)Termination reason: Refutation
% 1.62/0.59  
% 1.62/0.59  % (13257)Memory used [KB]: 5628
% 1.62/0.59  % (13257)Time elapsed: 0.187 s
% 1.62/0.59  % (13257)Instructions burned: 45 (million)
% 1.62/0.59  % (13257)------------------------------
% 1.62/0.59  % (13257)------------------------------
% 1.62/0.59  % (13233)Success in time 0.233 s
%------------------------------------------------------------------------------