TSTP Solution File: GEO042-3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GEO042-3 : 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 : n024.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 2.41s 0.74s
% Output   : Refutation 2.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (  12 unt;   3 typ;   0 def)
%            Number of atoms       :   36 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   30 (  16   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-5 aty)
%            Number of variables   :   34 (  34   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_4,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_5,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_6,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f846,plain,
    $false,
    inference(subsumption_resolution,[],[f835,f82]) ).

fof(f82,plain,
    ~ between(u,v,w),
    inference(literal_reordering,[],[f54]) ).

fof(f54,axiom,
    ~ between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_w) ).

fof(f835,plain,
    between(u,v,w),
    inference(resolution,[],[f816,f71]) ).

fof(f71,plain,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | between(X5,X3,X10) ),
    inference(literal_reordering,[],[f46]) ).

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

fof(f816,plain,
    between(w,v,u),
    inference(forward_demodulation,[],[f583,f673]) ).

fof(f673,plain,
    v = inner_pasch(u,v,x,w,v),
    inference(resolution,[],[f577,f109]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    inference(literal_reordering,[],[f7]) ).

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

fof(f577,plain,
    between(v,inner_pasch(u,v,x,w,v),v),
    inference(resolution,[],[f289,f69]) ).

fof(f69,plain,
    between(u,v,x),
    inference(literal_reordering,[],[f52]) ).

fof(f52,axiom,
    between(u,v,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_x) ).

fof(f289,plain,
    ! [X26,X27] :
      ( ~ between(X27,X26,x)
      | between(X26,inner_pasch(X27,X26,x,w,v),v) ),
    inference(resolution,[],[f115,f80]) ).

fof(f80,plain,
    between(v,w,x),
    inference(literal_reordering,[],[f53]) ).

fof(f53,axiom,
    between(v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).

fof(f115,plain,
    ! [X3,X10,X0,X1,X5] :
      ( ~ between(X1,X0,X5)
      | between(X3,inner_pasch(X10,X3,X5,X0,X1),X1)
      | ~ between(X10,X3,X5) ),
    inference(literal_reordering,[],[f8]) ).

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

fof(f583,plain,
    between(w,inner_pasch(u,v,x,w,v),u),
    inference(resolution,[],[f296,f80]) ).

fof(f296,plain,
    ! [X24,X25] :
      ( ~ between(X24,X25,x)
      | between(X25,inner_pasch(u,v,x,X25,X24),u) ),
    inference(resolution,[],[f116,f69]) ).

fof(f116,plain,
    ! [X3,X10,X0,X1,X5] :
      ( ~ between(X10,X3,X5)
      | ~ between(X1,X0,X5)
      | between(X0,inner_pasch(X10,X3,X5,X0,X1),X10) ),
    inference(literal_reordering,[],[f9]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO042-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n024.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 21:03:49 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 1.62/0.59  % (20857)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)
% 1.62/0.59  % (20865)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.62/0.59  % (20860)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)
% 1.62/0.59  % (20846)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)
% 1.62/0.60  % (20849)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.62/0.60  % (20862)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.93/0.61  % (20839)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)
% 1.93/0.61  % (20854)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.93/0.61  TRYING [1]
% 1.93/0.61  % (20843)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)
% 1.93/0.61  % (20842)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)
% 1.93/0.61  TRYING [2]
% 1.93/0.61  % (20852)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)
% 1.93/0.61  TRYING [1]
% 1.93/0.61  % (20837)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)
% 1.93/0.61  TRYING [2]
% 1.93/0.61  % (20864)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)
% 1.93/0.62  % (20840)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)
% 1.93/0.62  % (20841)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.93/0.62  TRYING [3]
% 1.93/0.62  % (20838)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)
% 1.93/0.62  % (20845)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.93/0.62  % (20845)Instruction limit reached!
% 1.93/0.62  % (20845)------------------------------
% 1.93/0.62  % (20845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62  % (20845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62  % (20845)Termination reason: Unknown
% 1.93/0.62  % (20845)Termination phase: Property scanning
% 1.93/0.62  
% 1.93/0.62  % (20845)Memory used [KB]: 895
% 1.93/0.62  % (20845)Time elapsed: 0.004 s
% 1.93/0.62  % (20845)Instructions burned: 2 (million)
% 1.93/0.62  % (20845)------------------------------
% 1.93/0.62  % (20845)------------------------------
% 1.93/0.63  % (20866)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)
% 1.93/0.63  % (20863)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)
% 1.93/0.63  % (20859)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)
% 1.93/0.63  % (20855)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.93/0.63  TRYING [1]
% 1.93/0.63  % (20853)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)
% 1.93/0.63  % (20844)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.93/0.63  % (20858)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.93/0.63  TRYING [2]
% 1.93/0.63  % (20851)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)
% 1.93/0.64  % (20844)Instruction limit reached!
% 1.93/0.64  % (20844)------------------------------
% 1.93/0.64  % (20844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.64  % (20844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.64  % (20844)Termination reason: Unknown
% 1.93/0.64  % (20844)Termination phase: Saturation
% 1.93/0.64  
% 1.93/0.64  % (20844)Memory used [KB]: 5500
% 1.93/0.64  % (20844)Time elapsed: 0.146 s
% 1.93/0.64  % (20844)Instructions burned: 7 (million)
% 1.93/0.64  % (20844)------------------------------
% 1.93/0.64  % (20844)------------------------------
% 1.93/0.64  % (20848)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)
% 1.93/0.64  % (20850)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.93/0.64  % (20847)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.93/0.64  % (20861)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.93/0.64  TRYING [3]
% 1.93/0.65  % (20856)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)
% 1.93/0.65  TRYING [3]
% 2.41/0.70  % (20854)Instruction limit reached!
% 2.41/0.70  % (20854)------------------------------
% 2.41/0.70  % (20854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.70  % (20854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.70  % (20854)Termination reason: Unknown
% 2.41/0.70  % (20854)Termination phase: Finite model building constraint generation
% 2.41/0.70  
% 2.41/0.70  % (20854)Memory used [KB]: 9850
% 2.41/0.70  % (20854)Time elapsed: 0.209 s
% 2.41/0.70  % (20854)Instructions burned: 60 (million)
% 2.41/0.70  % (20854)------------------------------
% 2.41/0.70  % (20854)------------------------------
% 2.41/0.70  % (20838)Refutation not found, incomplete strategy% (20838)------------------------------
% 2.41/0.70  % (20838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.70  % (20838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.70  % (20838)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.70  % (20843)Instruction limit reached!
% 2.41/0.70  % (20843)------------------------------
% 2.41/0.70  % (20843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.70  % (20843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.70  % (20843)Termination reason: Unknown
% 2.41/0.70  % (20843)Termination phase: Finite model building constraint generation
% 2.41/0.70  
% 2.41/0.70  % (20843)Memory used [KB]: 9338
% 2.41/0.70  % (20843)Time elapsed: 0.231 s
% 2.41/0.70  % (20843)Instructions burned: 51 (million)
% 2.41/0.70  % (20843)------------------------------
% 2.41/0.70  % (20843)------------------------------
% 2.41/0.70  
% 2.41/0.70  % (20838)Memory used [KB]: 5628
% 2.41/0.70  % (20838)Time elapsed: 0.209 s
% 2.41/0.70  % (20838)Instructions burned: 30 (million)
% 2.41/0.70  % (20838)------------------------------
% 2.41/0.70  % (20838)------------------------------
% 2.41/0.71  % (20863)First to succeed.
% 2.41/0.72  % (20839)Instruction limit reached!
% 2.41/0.72  % (20839)------------------------------
% 2.41/0.72  % (20839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.72  % (20839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.72  % (20839)Termination reason: Unknown
% 2.41/0.72  % (20839)Termination phase: Saturation
% 2.41/0.72  
% 2.41/0.72  % (20839)Memory used [KB]: 1279
% 2.41/0.72  % (20839)Time elapsed: 0.284 s
% 2.41/0.72  % (20839)Instructions burned: 38 (million)
% 2.41/0.72  % (20839)------------------------------
% 2.41/0.72  % (20839)------------------------------
% 2.41/0.72  % (20846)Instruction limit reached!
% 2.41/0.72  % (20846)------------------------------
% 2.41/0.72  % (20846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.72  % (20842)Instruction limit reached!
% 2.41/0.72  % (20842)------------------------------
% 2.41/0.72  % (20842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.73  % (20846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.73  % (20846)Termination reason: Unknown
% 2.41/0.73  % (20846)Termination phase: Saturation
% 2.41/0.73  
% 2.41/0.73  % (20846)Memory used [KB]: 1279
% 2.41/0.73  % (20846)Time elapsed: 0.286 s
% 2.41/0.73  % (20846)Instructions burned: 51 (million)
% 2.41/0.73  % (20846)------------------------------
% 2.41/0.73  % (20846)------------------------------
% 2.41/0.73  % (20841)Instruction limit reached!
% 2.41/0.73  % (20841)------------------------------
% 2.41/0.73  % (20841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.73  % (20841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.73  % (20841)Termination reason: Unknown
% 2.41/0.73  % (20841)Termination phase: Saturation
% 2.41/0.73  
% 2.41/0.73  % (20841)Memory used [KB]: 5884
% 2.41/0.73  % (20841)Time elapsed: 0.298 s
% 2.41/0.73  % (20841)Instructions burned: 52 (million)
% 2.41/0.73  % (20841)------------------------------
% 2.41/0.73  % (20841)------------------------------
% 2.41/0.74  % (20863)Refutation found. Thanks to Tanya!
% 2.41/0.74  % SZS status Unsatisfiable for theBenchmark
% 2.41/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.74  % (20863)------------------------------
% 2.41/0.74  % (20863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.74  % (20863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.74  % (20863)Termination reason: Refutation
% 2.41/0.74  
% 2.41/0.74  % (20863)Memory used [KB]: 6140
% 2.41/0.74  % (20863)Time elapsed: 0.066 s
% 2.41/0.74  % (20863)Instructions burned: 47 (million)
% 2.41/0.74  % (20863)------------------------------
% 2.41/0.74  % (20863)------------------------------
% 2.41/0.74  % (20836)Success in time 0.38 s
%------------------------------------------------------------------------------