TSTP Solution File: GEO043-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO043-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : 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 16:11:38 EDT 2022

% Result   : Unsatisfiable 0.19s 0.59s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  14 unt;   0 def)
%            Number of atoms       :   51 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   46 (  24   ~;  22   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-5 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,plain,
    $false,
    inference(subsumption_resolution,[],[f310,f186]) ).

fof(f186,plain,
    between(x,w,u),
    inference(subsumption_resolution,[],[f185,f27]) ).

fof(f27,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f4,f23]) ).

fof(f23,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f5,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(f5,axiom,
    ! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction2) ).

fof(f4,axiom,
    ! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',segment_construction1) ).

fof(f185,plain,
    ( between(x,w,u)
    | ~ between(w,x,x) ),
    inference(subsumption_resolution,[],[f184,f20]) ).

fof(f20,axiom,
    between(u,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).

fof(f184,plain,
    ( ~ between(u,w,x)
    | ~ between(w,x,x)
    | between(x,w,u) ),
    inference(superposition,[],[f8,f171]) ).

fof(f171,plain,
    w = inner_pasch(w,x,x,w,u),
    inference(resolution,[],[f134,f27]) ).

fof(f134,plain,
    ! [X1] :
      ( ~ between(w,X1,x)
      | w = inner_pasch(w,X1,x,w,u) ),
    inference(resolution,[],[f38,f20]) ).

fof(f38,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X3,X0,X2)
      | ~ between(X0,X1,X2)
      | inner_pasch(X0,X1,X2,X0,X3) = X0 ),
    inference(resolution,[],[f9,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f9,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X0,inner_pasch(X10,X3,X5,X0,X1),X10)
      | ~ between(X10,X3,X5)
      | ~ between(X1,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch2) ).

fof(f8,axiom,
    ! [X3,X10,X0,X1,X5] :
      ( between(X3,inner_pasch(X10,X3,X5,X0,X1),X1)
      | ~ between(X10,X3,X5)
      | ~ between(X1,X0,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_pasch1) ).

fof(f310,plain,
    ~ between(x,w,u),
    inference(subsumption_resolution,[],[f309,f21]) ).

fof(f21,axiom,
    ~ between(v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_w_between_v_and_x) ).

fof(f309,plain,
    ( between(v,w,x)
    | ~ between(x,w,u) ),
    inference(subsumption_resolution,[],[f307,f154]) ).

fof(f154,plain,
    between(w,v,u),
    inference(subsumption_resolution,[],[f153,f27]) ).

fof(f153,plain,
    ( ~ between(v,w,w)
    | between(w,v,u) ),
    inference(subsumption_resolution,[],[f152,f19]) ).

fof(f19,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f152,plain,
    ( ~ between(u,v,w)
    | ~ between(v,w,w)
    | between(w,v,u) ),
    inference(superposition,[],[f8,f148]) ).

fof(f148,plain,
    v = inner_pasch(v,w,w,v,u),
    inference(resolution,[],[f133,f27]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ between(v,X0,w)
      | v = inner_pasch(v,X0,w,v,u) ),
    inference(resolution,[],[f38,f19]) ).

fof(f307,plain,
    ( ~ between(w,v,u)
    | ~ between(x,w,u)
    | between(v,w,x) ),
    inference(superposition,[],[f9,f274]) ).

fof(f274,plain,
    w = inner_pasch(x,w,u,v,w),
    inference(resolution,[],[f162,f186]) ).

fof(f162,plain,
    ! [X1] :
      ( ~ between(X1,w,u)
      | w = inner_pasch(X1,w,u,v,w) ),
    inference(resolution,[],[f154,f34]) ).

fof(f34,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X3,X2)
      | ~ between(X0,X1,X2)
      | inner_pasch(X0,X1,X2,X3,X1) = X1 ),
    inference(resolution,[],[f8,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GEO043-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 20:25:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (11996)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52  % (12012)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)
% 0.19/0.52  % (11990)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)
% 0.19/0.52  % (11994)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)
% 0.19/0.52  % (12004)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)
% 0.19/0.52  % (12015)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)
% 0.19/0.52  % (12017)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52  % (12016)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)
% 0.19/0.52  % (12006)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53  % (11992)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)
% 0.19/0.53  % (11993)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (11991)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)
% 0.19/0.53  % (11990)Refutation not found, incomplete strategy% (11990)------------------------------
% 0.19/0.53  % (11990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  TRYING [1]
% 0.19/0.53  % (11990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11990)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (11990)Memory used [KB]: 5373
% 0.19/0.53  % (11997)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (11990)Time elapsed: 0.123 s
% 0.19/0.53  % (11990)Instructions burned: 2 (million)
% 0.19/0.53  % (11990)------------------------------
% 0.19/0.53  % (11990)------------------------------
% 0.19/0.53  % (12011)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)
% 0.19/0.53  % (12018)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)
% 0.19/0.53  % (11997)Instruction limit reached!
% 0.19/0.53  % (11997)------------------------------
% 0.19/0.53  % (11997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11997)Termination reason: Unknown
% 0.19/0.53  % (11997)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (11997)Memory used [KB]: 5373
% 0.19/0.53  % (11997)Time elapsed: 0.127 s
% 0.19/0.53  % (11997)Instructions burned: 3 (million)
% 0.19/0.53  % (11997)------------------------------
% 0.19/0.53  % (11997)------------------------------
% 0.19/0.53  TRYING [2]
% 0.19/0.53  % (11996)Instruction limit reached!
% 0.19/0.53  % (11996)------------------------------
% 0.19/0.53  % (11996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (11996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (11996)Termination reason: Unknown
% 0.19/0.53  % (11996)Termination phase: Saturation
% 0.19/0.53  
% 0.19/0.53  % (11996)Memory used [KB]: 5500
% 0.19/0.53  % (11996)Time elapsed: 0.118 s
% 0.19/0.53  % (11996)Instructions burned: 8 (million)
% 0.19/0.53  % (11996)------------------------------
% 0.19/0.53  % (11996)------------------------------
% 0.19/0.53  % (11998)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)
% 0.19/0.53  % (12010)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53  % (11995)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)
% 0.19/0.54  % (12013)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  TRYING [1]
% 0.19/0.54  % (12009)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)
% 0.19/0.54  % (12008)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)
% 0.19/0.54  % (12007)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  TRYING [3]
% 0.19/0.54  % (12014)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (12003)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)
% 0.19/0.54  % (12002)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (11999)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54  % (12000)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)
% 0.19/0.54  % (12001)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (11989)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)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.56  % (12005)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)
% 0.19/0.56  TRYING [2]
% 0.19/0.56  TRYING [3]
% 0.19/0.58  % (12006)Instruction limit reached!
% 0.19/0.58  % (12006)------------------------------
% 0.19/0.58  % (12006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (12006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (12006)Termination reason: Unknown
% 0.19/0.58  % (12006)Termination phase: Finite model building constraint generation
% 0.19/0.58  
% 0.19/0.58  % (12006)Memory used [KB]: 10362
% 0.19/0.58  % (12006)Time elapsed: 0.174 s
% 0.19/0.58  % (12006)Instructions burned: 59 (million)
% 0.19/0.58  % (12006)------------------------------
% 0.19/0.58  % (12006)------------------------------
% 0.19/0.59  % (11991)Instruction limit reached!
% 0.19/0.59  % (11991)------------------------------
% 0.19/0.59  % (11991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (12004)First to succeed.
% 0.19/0.59  % (12004)Refutation found. Thanks to Tanya!
% 0.19/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59  % (12004)------------------------------
% 0.19/0.59  % (12004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (12004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (12004)Termination reason: Refutation
% 0.19/0.59  
% 0.19/0.59  % (12004)Memory used [KB]: 1407
% 0.19/0.59  % (12004)Time elapsed: 0.190 s
% 0.19/0.59  % (12004)Instructions burned: 40 (million)
% 0.19/0.59  % (12004)------------------------------
% 0.19/0.59  % (12004)------------------------------
% 0.19/0.59  % (11988)Success in time 0.241 s
%------------------------------------------------------------------------------