TSTP Solution File: HWV017-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV017-1 : TPTP v8.1.0. Released v2.5.0.
% 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 16:58:14 EDT 2022

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   51 (  22 unt;   3 typ;   0 def)
%            Number of atoms       :  106 (  33 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   88 (  30   ~;  58   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_14,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_15,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_16,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f658,plain,
    $false,
    inference(subsumption_resolution,[],[f657,f156]) ).

fof(f156,plain,
    ! [X21] : ~ gt(X21,X21),
    inference(literal_reordering,[],[f17]) ).

fof(f17,axiom,
    ! [X21] : ~ gt(X21,X21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f657,plain,
    gt(fifo_length,fifo_length),
    inference(subsumption_resolution,[],[f656,f177]) ).

fof(f177,plain,
    gt(fifo_length,n0),
    inference(literal_reordering,[],[f96]) ).

fof(f96,axiom,
    gt(fifo_length,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_6) ).

fof(f656,plain,
    ( ~ gt(fifo_length,n0)
    | gt(fifo_length,fifo_length) ),
    inference(superposition,[],[f144,f646]) ).

fof(f646,plain,
    fifo_length = minus(fifo_length,n1),
    inference(forward_demodulation,[],[f645,f289]) ).

fof(f289,plain,
    fifo_length = int_level(plus(t_139,n1)),
    inference(resolution,[],[f160,f113]) ).

fof(f113,plain,
    p_Full(plus(t_139,n1)),
    inference(literal_reordering,[],[f95]) ).

fof(f95,axiom,
    p_Full(plus(t_139,n1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

fof(f160,plain,
    ! [X27] :
      ( ~ p_Full(X27)
      | fifo_length = int_level(X27) ),
    inference(literal_reordering,[],[f23]) ).

fof(f23,axiom,
    ! [X27] :
      ( fifo_length = int_level(X27)
      | ~ p_Full(X27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).

fof(f645,plain,
    minus(fifo_length,n1) = int_level(plus(t_139,n1)),
    inference(subsumption_resolution,[],[f644,f177]) ).

fof(f644,plain,
    ( ~ gt(fifo_length,n0)
    | minus(fifo_length,n1) = int_level(plus(t_139,n1)) ),
    inference(subsumption_resolution,[],[f643,f175]) ).

fof(f175,plain,
    ~ p_Reset(t_139),
    inference(literal_reordering,[],[f94]) ).

fof(f94,axiom,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

fof(f643,plain,
    ( minus(fifo_length,n1) = int_level(plus(t_139,n1))
    | p_Reset(t_139)
    | ~ gt(fifo_length,n0) ),
    inference(subsumption_resolution,[],[f642,f146]) ).

fof(f146,plain,
    ~ p_Wr(t_139),
    inference(literal_reordering,[],[f93]) ).

fof(f93,axiom,
    ~ p_Wr(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

fof(f642,plain,
    ( p_Wr(t_139)
    | ~ gt(fifo_length,n0)
    | p_Reset(t_139)
    | minus(fifo_length,n1) = int_level(plus(t_139,n1)) ),
    inference(subsumption_resolution,[],[f638,f166]) ).

fof(f166,plain,
    p_Rd(t_139),
    inference(literal_reordering,[],[f92]) ).

fof(f92,axiom,
    p_Rd(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

fof(f638,plain,
    ( ~ p_Rd(t_139)
    | ~ gt(fifo_length,n0)
    | minus(fifo_length,n1) = int_level(plus(t_139,n1))
    | p_Reset(t_139)
    | p_Wr(t_139) ),
    inference(superposition,[],[f165,f628]) ).

fof(f628,plain,
    fifo_length = int_level(t_139),
    inference(subsumption_resolution,[],[f627,f537]) ).

fof(f537,plain,
    ( gt(int_level(t_139),n0)
    | fifo_length = int_level(t_139) ),
    inference(forward_demodulation,[],[f536,f289]) ).

fof(f536,plain,
    ( gt(int_level(t_139),n0)
    | int_level(t_139) = int_level(plus(t_139,n1)) ),
    inference(subsumption_resolution,[],[f522,f175]) ).

fof(f522,plain,
    ( p_Reset(t_139)
    | gt(int_level(t_139),n0)
    | int_level(t_139) = int_level(plus(t_139,n1)) ),
    inference(resolution,[],[f520,f146]) ).

fof(f520,plain,
    ! [X34] :
      ( p_Wr(X34)
      | int_level(X34) = int_level(plus(X34,n1))
      | p_Reset(X34)
      | gt(int_level(X34),n0) ),
    inference(subsumption_resolution,[],[f179,f138]) ).

fof(f138,plain,
    ! [X34] :
      ( p_Rd(X34)
      | p_Reset(X34)
      | p_Wr(X34)
      | int_level(X34) = int_level(plus(X34,n1)) ),
    inference(literal_reordering,[],[f82]) ).

fof(f82,axiom,
    ! [X34] :
      ( p_Wr(X34)
      | int_level(X34) = int_level(plus(X34,n1))
      | p_Rd(X34)
      | p_Reset(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).

fof(f179,plain,
    ! [X34] :
      ( p_Wr(X34)
      | ~ p_Rd(X34)
      | p_Reset(X34)
      | int_level(X34) = int_level(plus(X34,n1))
      | gt(int_level(X34),n0) ),
    inference(literal_reordering,[],[f78]) ).

fof(f78,axiom,
    ! [X34] :
      ( int_level(X34) = int_level(plus(X34,n1))
      | p_Wr(X34)
      | p_Reset(X34)
      | ~ p_Rd(X34)
      | gt(int_level(X34),n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).

fof(f627,plain,
    ( fifo_length = int_level(t_139)
    | ~ gt(int_level(t_139),n0) ),
    inference(subsumption_resolution,[],[f626,f137]) ).

fof(f137,plain,
    ~ gt(int_level(t_139),fifo_length),
    inference(literal_reordering,[],[f97]) ).

fof(f97,plain,
    ~ gt(int_level(t_139),fifo_length),
    inference(definition_unfolding,[],[f91,f21]) ).

fof(f21,axiom,
    ! [X25] : level(X25) = int_level(X25),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

fof(f91,axiom,
    ~ gt(level(t_139),fifo_length),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

fof(f626,plain,
    ( ~ gt(int_level(t_139),n0)
    | fifo_length = int_level(t_139)
    | gt(int_level(t_139),fifo_length) ),
    inference(superposition,[],[f144,f623]) ).

fof(f623,plain,
    ( fifo_length = minus(int_level(t_139),n1)
    | fifo_length = int_level(t_139) ),
    inference(forward_demodulation,[],[f622,f289]) ).

fof(f622,plain,
    ( minus(int_level(t_139),n1) = int_level(plus(t_139,n1))
    | fifo_length = int_level(t_139) ),
    inference(subsumption_resolution,[],[f621,f166]) ).

fof(f621,plain,
    ( fifo_length = int_level(t_139)
    | ~ p_Rd(t_139)
    | minus(int_level(t_139),n1) = int_level(plus(t_139,n1)) ),
    inference(subsumption_resolution,[],[f620,f146]) ).

fof(f620,plain,
    ( p_Wr(t_139)
    | minus(int_level(t_139),n1) = int_level(plus(t_139,n1))
    | fifo_length = int_level(t_139)
    | ~ p_Rd(t_139) ),
    inference(subsumption_resolution,[],[f613,f175]) ).

fof(f613,plain,
    ( p_Reset(t_139)
    | fifo_length = int_level(t_139)
    | ~ p_Rd(t_139)
    | p_Wr(t_139)
    | minus(int_level(t_139),n1) = int_level(plus(t_139,n1)) ),
    inference(resolution,[],[f165,f537]) ).

fof(f165,plain,
    ! [X34] :
      ( ~ gt(int_level(X34),n0)
      | p_Wr(X34)
      | p_Reset(X34)
      | int_level(plus(X34,n1)) = minus(int_level(X34),n1)
      | ~ p_Rd(X34) ),
    inference(literal_reordering,[],[f71]) ).

fof(f71,axiom,
    ! [X34] :
      ( int_level(plus(X34,n1)) = minus(int_level(X34),n1)
      | ~ p_Rd(X34)
      | ~ gt(int_level(X34),n0)
      | p_Reset(X34)
      | p_Wr(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).

fof(f144,plain,
    ! [X2] :
      ( gt(X2,minus(X2,n1))
      | ~ gt(X2,n0) ),
    inference(literal_reordering,[],[f3]) ).

fof(f3,axiom,
    ! [X2] :
      ( gt(X2,minus(X2,n1))
      | ~ gt(X2,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : HWV017-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:57:48 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.51  % (32156)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)
% 0.21/0.52  % (32151)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)
% 0.21/0.52  % (32160)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52  % (32163)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52  % (32160)Instruction limit reached!
% 0.21/0.52  % (32160)------------------------------
% 0.21/0.52  % (32160)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (32153)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)
% 0.21/0.52  % (32160)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (32160)Termination reason: Unknown
% 0.21/0.52  % (32160)Termination phase: Property scanning
% 0.21/0.52  
% 0.21/0.52  % (32160)Memory used [KB]: 895
% 0.21/0.52  % (32160)Time elapsed: 0.004 s
% 0.21/0.52  % (32160)Instructions burned: 3 (million)
% 0.21/0.52  % (32160)------------------------------
% 0.21/0.52  % (32160)------------------------------
% 0.21/0.52  % (32175)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53  % (32164)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)
% 0.21/0.53  % (32152)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)
% 0.21/0.53  % (32180)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)
% 0.21/0.53  % (32155)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (32162)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)
% 0.21/0.53  % (32179)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54  % (32154)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)
% 0.21/0.54  % (32169)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  % (32181)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)
% 0.21/0.54  % (32172)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (32167)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54  % (32177)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)
% 0.21/0.54  TRYING [1]
% 0.21/0.54  TRYING [2]
% 0.21/0.54  % (32174)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)
% 0.21/0.54  % (32178)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54  % (32182)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55  % (32157)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)
% 0.21/0.55  % (32170)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)
% 0.21/0.55  % (32165)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55  % (32171)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  % (32183)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)
% 0.21/0.55  TRYING [1]
% 0.21/0.55  % (32173)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)
% 0.21/0.56  TRYING [3]
% 0.21/0.56  % (32168)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)
% 0.21/0.56  % (32159)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56  % (32176)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)
% 0.21/0.57  % (32180)First to succeed.
% 0.21/0.57  % (32156)Instruction limit reached!
% 0.21/0.57  % (32156)------------------------------
% 0.21/0.57  % (32156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (32156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (32156)Termination reason: Unknown
% 0.21/0.57  % (32156)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (32156)Memory used [KB]: 5756
% 0.21/0.57  % (32156)Time elapsed: 0.161 s
% 0.21/0.57  % (32156)Instructions burned: 49 (million)
% 0.21/0.57  % (32156)------------------------------
% 0.21/0.57  % (32156)------------------------------
% 0.21/0.57  % (32180)Refutation found. Thanks to Tanya!
% 0.21/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58  % (32180)------------------------------
% 0.21/0.58  % (32180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (32180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (32180)Termination reason: Refutation
% 0.21/0.58  
% 0.21/0.58  % (32180)Memory used [KB]: 6140
% 0.21/0.58  % (32180)Time elapsed: 0.035 s
% 0.21/0.58  % (32180)Instructions burned: 27 (million)
% 0.21/0.58  % (32180)------------------------------
% 0.21/0.58  % (32180)------------------------------
% 0.21/0.58  % (32145)Success in time 0.218 s
%------------------------------------------------------------------------------