TSTP Solution File: GEO033-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO033-3 : 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 : n018.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 16:11:36 EDT 2022

% Result   : Unsatisfiable 2.53s 0.70s
% Output   : Refutation 2.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (  14 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   67 (  34   ~;  33   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1093,plain,
    $false,
    inference(subsumption_resolution,[],[f1092,f74]) ).

fof(f74,axiom,
    ~ equidistant(v,x,v1,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_to_x_equals_v1_to_x1) ).

fof(f1092,plain,
    equidistant(v,x,v1,x1),
    inference(subsumption_resolution,[],[f1078,f70]) ).

fof(f70,axiom,
    equidistant(u,x,u1,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_x_equals_u1_to_x1) ).

fof(f1078,plain,
    ( ~ equidistant(u,x,u1,x1)
    | equidistant(v,x,v1,x1) ),
    inference(resolution,[],[f1066,f71]) ).

fof(f71,axiom,
    equidistant(w,x,w1,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_to_x_equals_w1_to_x1) ).

fof(f1066,plain,
    ! [X0,X1] :
      ( ~ equidistant(w,X0,w1,X1)
      | ~ equidistant(u,X0,u1,X1)
      | equidistant(v,X0,v1,X1) ),
    inference(subsumption_resolution,[],[f1065,f87]) ).

fof(f87,plain,
    between(w1,v1,u1),
    inference(resolution,[],[f46,f73]) ).

fof(f73,axiom,
    between(u1,v1,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).

fof(f46,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | between(X5,X3,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).

fof(f1065,plain,
    ! [X0,X1] :
      ( ~ equidistant(u,X0,u1,X1)
      | ~ equidistant(w,X0,w1,X1)
      | equidistant(v,X0,v1,X1)
      | ~ between(w1,v1,u1) ),
    inference(resolution,[],[f990,f625]) ).

fof(f625,plain,
    equidistant(w,u,w1,u1),
    inference(resolution,[],[f618,f24]) ).

fof(f24,axiom,
    ! [X3,X10,X0,X5] :
      ( ~ equidistant(X10,X3,X5,X0)
      | equidistant(X3,X10,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_2) ).

fof(f618,plain,
    equidistant(u,w,u1,w1),
    inference(subsumption_resolution,[],[f617,f73]) ).

fof(f617,plain,
    ( equidistant(u,w,u1,w1)
    | ~ between(u1,v1,w1) ),
    inference(resolution,[],[f489,f68]) ).

fof(f68,axiom,
    equidistant(u,v,u1,v1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).

fof(f489,plain,
    ! [X0] :
      ( ~ equidistant(u,v,X0,v1)
      | equidistant(u,w,X0,w1)
      | ~ between(X0,v1,w1) ),
    inference(resolution,[],[f319,f69]) ).

fof(f69,axiom,
    equidistant(v,w,v1,w1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).

fof(f319,plain,
    ! [X10,X11,X12] :
      ( ~ equidistant(v,w,X12,X11)
      | equidistant(u,w,X10,X11)
      | ~ equidistant(u,v,X10,X12)
      | ~ between(X10,X12,X11) ),
    inference(resolution,[],[f37,f72]) ).

fof(f72,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f37,axiom,
    ! [X3,X10,X11,X9,X5,X12] :
      ( ~ between(X10,X3,X5)
      | equidistant(X10,X5,X11,X12)
      | ~ between(X11,X9,X12)
      | ~ equidistant(X10,X3,X11,X9)
      | ~ equidistant(X3,X5,X9,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8) ).

fof(f990,plain,
    ! [X3,X4,X5] :
      ( ~ equidistant(w,u,w1,X3)
      | equidistant(v,X4,v1,X5)
      | ~ equidistant(u,X4,X3,X5)
      | ~ equidistant(w,X4,w1,X5)
      | ~ between(w1,v1,X3) ),
    inference(resolution,[],[f333,f123]) ).

fof(f123,plain,
    equidistant(w,v,w1,v1),
    inference(resolution,[],[f24,f69]) ).

fof(f333,plain,
    ! [X28,X26,X27,X24,X25] :
      ( ~ equidistant(w,v,X24,X25)
      | ~ equidistant(w,u,X24,X26)
      | ~ equidistant(w,X27,X24,X28)
      | equidistant(v,X27,X25,X28)
      | ~ between(X24,X25,X26)
      | ~ equidistant(u,X27,X26,X28) ),
    inference(resolution,[],[f66,f86]) ).

fof(f86,plain,
    between(w,v,u),
    inference(resolution,[],[f46,f72]) ).

fof(f66,axiom,
    ! [X3,X10,X0,X11,X6,X9,X5,X12] :
      ( ~ between(X10,X3,X5)
      | ~ equidistant(X10,X3,X11,X9)
      | ~ equidistant(X10,X5,X11,X12)
      | ~ equidistant(X10,X0,X11,X6)
      | equidistant(X3,X0,X9,X6)
      | ~ equidistant(X5,X0,X12,X6)
      | ~ between(X11,X9,X12) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO033-3 : 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 : n018.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 21:02:39 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.53  % (23914)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)
% 0.21/0.53  % (23915)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53  % (23930)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)
% 0.21/0.54  % (23923)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)
% 0.21/0.54  % (23922)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)
% 0.21/0.54  % (23915)Instruction limit reached!
% 0.21/0.54  % (23915)------------------------------
% 0.21/0.54  % (23915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (23931)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)
% 0.21/0.55  % (23915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (23915)Termination reason: Unknown
% 0.21/0.55  % (23915)Termination phase: Saturation
% 0.21/0.55  
% 0.21/0.55  % (23915)Memory used [KB]: 5500
% 0.21/0.55  % (23915)Time elapsed: 0.122 s
% 0.21/0.55  % (23915)Instructions burned: 7 (million)
% 0.21/0.55  % (23915)------------------------------
% 0.21/0.55  % (23915)------------------------------
% 0.21/0.57  TRYING [3]
% 1.46/0.57  % (23912)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.58  % (23910)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)
% 1.79/0.59  % (23908)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)
% 1.79/0.59  % (23913)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)
% 1.79/0.59  % (23914)Instruction limit reached!
% 1.79/0.59  % (23914)------------------------------
% 1.79/0.59  % (23914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59  % (23928)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)
% 1.79/0.59  % (23937)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)
% 1.79/0.60  % (23932)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.79/0.60  % (23914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60  % (23914)Termination reason: Unknown
% 1.79/0.60  % (23914)Termination phase: Finite model building constraint generation
% 1.79/0.60  
% 1.79/0.60  % (23914)Memory used [KB]: 11129
% 1.79/0.60  % (23914)Time elapsed: 0.155 s
% 1.79/0.60  % (23914)Instructions burned: 51 (million)
% 1.79/0.60  % (23914)------------------------------
% 1.79/0.60  % (23914)------------------------------
% 1.79/0.60  % (23936)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.79/0.60  % (23929)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.79/0.60  % (23926)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.79/0.60  % (23925)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.79/0.60  % (23924)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)
% 1.79/0.61  % (23911)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)
% 1.79/0.61  % (23921)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.79/0.61  % (23917)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)
% 1.79/0.61  % (23919)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)
% 1.79/0.61  % (23918)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.79/0.61  % (23916)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.79/0.61  % (23916)Instruction limit reached!
% 1.79/0.61  % (23916)------------------------------
% 1.79/0.61  % (23916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.61  % (23916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.61  % (23916)Termination reason: Unknown
% 1.79/0.61  % (23916)Termination phase: Blocked clause elimination
% 1.79/0.61  
% 1.79/0.61  % (23916)Memory used [KB]: 1023
% 1.79/0.61  % (23916)Time elapsed: 0.003 s
% 1.79/0.61  % (23916)Instructions burned: 3 (million)
% 1.79/0.61  % (23916)------------------------------
% 1.79/0.61  % (23916)------------------------------
% 1.79/0.61  % (23920)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.79/0.62  TRYING [3]
% 1.79/0.62  % (23934)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)
% 1.79/0.62  % (23909)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)
% 1.79/0.62  % (23933)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.79/0.63  % (23927)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)
% 1.79/0.63  TRYING [3]
% 1.79/0.64  % (23935)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)
% 1.79/0.65  % (23922)Instruction limit reached!
% 1.79/0.65  % (23922)------------------------------
% 1.79/0.65  % (23922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.65  % (23922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.65  % (23922)Termination reason: Unknown
% 1.79/0.65  % (23922)Termination phase: Saturation
% 1.79/0.65  
% 1.79/0.65  % (23922)Memory used [KB]: 6268
% 1.79/0.65  % (23922)Time elapsed: 0.076 s
% 1.79/0.65  % (23922)Instructions burned: 68 (million)
% 1.79/0.65  % (23922)------------------------------
% 1.79/0.65  % (23922)------------------------------
% 2.46/0.69  % (23910)Instruction limit reached!
% 2.46/0.69  % (23910)------------------------------
% 2.46/0.69  % (23910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.69  % (23910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.69  % (23910)Termination reason: Unknown
% 2.46/0.69  % (23910)Termination phase: Saturation
% 2.46/0.69  
% 2.46/0.69  % (23910)Memory used [KB]: 1279
% 2.46/0.69  % (23910)Time elapsed: 0.257 s
% 2.46/0.69  % (23910)Instructions burned: 38 (million)
% 2.46/0.69  % (23910)------------------------------
% 2.46/0.69  % (23910)------------------------------
% 2.53/0.70  % (23931)First to succeed.
% 2.53/0.70  % (23931)Refutation found. Thanks to Tanya!
% 2.53/0.70  % SZS status Unsatisfiable for theBenchmark
% 2.53/0.70  % SZS output start Proof for theBenchmark
% See solution above
% 2.53/0.70  % (23931)------------------------------
% 2.53/0.70  % (23931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.53/0.70  % (23931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.53/0.70  % (23931)Termination reason: Refutation
% 2.53/0.70  
% 2.53/0.70  % (23931)Memory used [KB]: 5884
% 2.53/0.70  % (23931)Time elapsed: 0.273 s
% 2.53/0.70  % (23931)Instructions burned: 67 (million)
% 2.53/0.70  % (23931)------------------------------
% 2.53/0.70  % (23931)------------------------------
% 2.53/0.70  % (23907)Success in time 0.34 s
%------------------------------------------------------------------------------