TSTP Solution File: ALG369-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG369-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n009.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 15:41:37 EDT 2022

% Result   : Unsatisfiable 1.51s 0.57s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (  10   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f632,plain,
    $false,
    inference(subsumption_resolution,[],[f631,f568]) ).

fof(f568,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f631,plain,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal),
    inference(subsumption_resolution,[],[f630,f567]) ).

fof(f567,axiom,
    c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).

fof(f630,plain,
    ( ~ c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal) ),
    inference(resolution,[],[f566,f628]) ).

fof(f628,plain,
    ! [X6] :
      ( ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(subsumption_resolution,[],[f515,f569]) ).

fof(f569,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f515,axiom,
    ! [X6] :
      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | v_thesis____ ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).

fof(f566,axiom,
    c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ALG369-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 15:04:50 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.52  % (1365)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.53  % (1367)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53  % (1375)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (1375)Instruction limit reached!
% 0.19/0.53  % (1375)------------------------------
% 0.19/0.53  % (1375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (1370)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.53  % (1375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (1375)Termination reason: Unknown
% 0.19/0.53  % (1375)Termination phase: shuffling
% 0.19/0.53  
% 0.19/0.53  % (1375)Memory used [KB]: 1918
% 0.19/0.53  % (1375)Time elapsed: 0.004 s
% 0.19/0.53  % (1375)Instructions burned: 2 (million)
% 0.19/0.53  % (1375)------------------------------
% 0.19/0.53  % (1375)------------------------------
% 0.19/0.53  % (1374)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53  % (1362)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53  % (1366)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (1362)Refutation not found, incomplete strategy% (1362)------------------------------
% 0.19/0.53  % (1362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (1362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (1362)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53  
% 0.19/0.53  % (1362)Memory used [KB]: 6268
% 0.19/0.53  % (1362)Time elapsed: 0.004 s
% 0.19/0.53  % (1362)Instructions burned: 2 (million)
% 0.19/0.53  % (1362)------------------------------
% 0.19/0.53  % (1362)------------------------------
% 0.19/0.53  % (1367)Instruction limit reached!
% 0.19/0.53  % (1367)------------------------------
% 0.19/0.53  % (1367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (1367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (1367)Termination reason: Unknown
% 0.19/0.54  % (1367)Termination phase: Equality proxy
% 0.19/0.54  
% 0.19/0.54  % (1367)Memory used [KB]: 1918
% 0.19/0.54  % (1367)Time elapsed: 0.006 s
% 0.19/0.54  % (1367)Instructions burned: 3 (million)
% 0.19/0.54  % (1367)------------------------------
% 0.19/0.54  % (1367)------------------------------
% 0.19/0.54  % (1374)Instruction limit reached!
% 0.19/0.54  % (1374)------------------------------
% 0.19/0.54  % (1374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (1363)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.54  % (1374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (1374)Termination reason: Unknown
% 0.19/0.54  % (1374)Termination phase: Finite model building preprocessing
% 0.19/0.54  
% 0.19/0.54  % (1374)Memory used [KB]: 2046
% 0.19/0.54  % (1374)Time elapsed: 0.007 s
% 0.19/0.54  % (1374)Instructions burned: 6 (million)
% 0.19/0.54  % (1374)------------------------------
% 0.19/0.54  % (1374)------------------------------
% 0.19/0.54  % (1383)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.54  % (1381)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.21/0.54  % (1373)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.21/0.55  % (1378)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.21/0.55  % (1382)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.51/0.56  % (1387)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.51/0.57  % (1364)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.51/0.57  % (1361)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.51/0.57  % (1363)Refutation not found, incomplete strategy% (1363)------------------------------
% 1.51/0.57  % (1363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57  % (1363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57  % (1363)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.57  
% 1.51/0.57  % (1363)Memory used [KB]: 6268
% 1.51/0.57  % (1363)Time elapsed: 0.003 s
% 1.51/0.57  % (1363)Instructions burned: 2 (million)
% 1.51/0.57  % (1363)------------------------------
% 1.51/0.57  % (1363)------------------------------
% 1.51/0.57  % (1378)Instruction limit reached!
% 1.51/0.57  % (1378)------------------------------
% 1.51/0.57  % (1378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57  % (1378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57  % (1378)Termination reason: Unknown
% 1.51/0.57  % (1378)Termination phase: Saturation
% 1.51/0.57  
% 1.51/0.57  % (1378)Memory used [KB]: 2046
% 1.51/0.57  % (1378)Time elapsed: 0.005 s
% 1.51/0.57  % (1361)Instruction limit reached!
% 1.51/0.57  % (1361)------------------------------
% 1.51/0.57  % (1361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57  % (1361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57  % (1361)Termination reason: Unknown
% 1.51/0.57  % (1361)Termination phase: General splitting
% 1.51/0.57  
% 1.51/0.57  % (1361)Memory used [KB]: 1918
% 1.51/0.57  % (1361)Time elapsed: 0.005 s
% 1.51/0.57  % (1361)Instructions burned: 5 (million)
% 1.51/0.57  % (1361)------------------------------
% 1.51/0.57  % (1361)------------------------------
% 1.51/0.57  % (1378)Instructions burned: 8 (million)
% 1.51/0.57  % (1378)------------------------------
% 1.51/0.57  % (1378)------------------------------
% 1.51/0.57  % (1370)First to succeed.
% 1.51/0.57  % (1370)Refutation found. Thanks to Tanya!
% 1.51/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.51/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.57  % (1370)------------------------------
% 1.51/0.57  % (1370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57  % (1370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57  % (1370)Termination reason: Refutation
% 1.51/0.57  
% 1.51/0.57  % (1370)Memory used [KB]: 6396
% 1.51/0.57  % (1370)Time elapsed: 0.131 s
% 1.51/0.57  % (1370)Instructions burned: 18 (million)
% 1.51/0.57  % (1370)------------------------------
% 1.51/0.57  % (1370)------------------------------
% 1.51/0.57  % (1358)Success in time 0.225 s
%------------------------------------------------------------------------------