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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n007.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 15:44:12 EDT 2022

% Result   : Unsatisfiable 1.08s 0.78s
% Output   : Refutation 1.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   7   ~;   9   |;   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(f1110,plain,
    $false,
    inference(subsumption_resolution,[],[f1109,f746]) ).

fof(f746,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(consistent_polarity_flipping,[],[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/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f1109,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,[],[f1108,f569]) ).

fof(f569,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1108,plain,
    ( v_thesis____
    | 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,[],[f1107,f939]) ).

fof(f939,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),
    inference(consistent_polarity_flipping,[],[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/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).

fof(f1107,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)
    | v_thesis____
    | 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,[],[f631,f781]) ).

fof(f781,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(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | v_thesis____ ),
    inference(consistent_polarity_flipping,[],[f515]) ).

fof(f515,axiom,
    ! [X6] :
      ( v_thesis____
      | ~ 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(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).

fof(f631,plain,
    ~ 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),
    inference(consistent_polarity_flipping,[],[f566]) ).

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/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ALG369-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n007.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 14:52:15 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  ipcrm: permission denied for id (695566338)
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% 0.20/0.50  ipcrm: permission denied for id (699269232)
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% 0.20/0.51  ipcrm: permission denied for id (703070325)
% 0.20/0.51  ipcrm: permission denied for id (703135863)
% 0.20/0.51  ipcrm: permission denied for id (699695225)
% 0.20/0.51  ipcrm: permission denied for id (699727994)
% 0.20/0.52  ipcrm: permission denied for id (703201403)
% 0.20/0.52  ipcrm: permission denied for id (699793532)
% 0.20/0.52  ipcrm: permission denied for id (699826301)
% 0.20/0.52  ipcrm: permission denied for id (699859070)
% 0.20/0.52  ipcrm: permission denied for id (699957375)
% 0.67/0.69  % (25561)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 0.67/0.69  % (25569)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 0.67/0.70  % (25578)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 (2997ds/68Mi)
% 0.67/0.72  % (25562)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 0.67/0.72  % (25552)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 (2997ds/37Mi)
% 0.67/0.73  % (25550)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 (2997ds/191324Mi)
% 0.67/0.73  % (25560)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 (2997ds/51Mi)
% 0.67/0.73  % (25570)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 (2997ds/100Mi)
% 0.67/0.73  % (25565)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 (2997ds/68Mi)
% 0.67/0.73  % (25554)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 0.67/0.73  % (25564)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/99Mi)
% 0.67/0.74  % (25579)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 (2997ds/177Mi)
% 0.67/0.74  % (25568)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/59Mi)
% 1.08/0.74  % (25556)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 1.08/0.74  % (25571)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 (2997ds/176Mi)
% 1.08/0.74  % (25559)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2Mi)
% 1.08/0.74  % (25559)Instruction limit reached!
% 1.08/0.74  % (25559)------------------------------
% 1.08/0.74  % (25559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.08/0.74  % (25559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.08/0.74  % (25559)Termination reason: Unknown
% 1.08/0.74  % (25559)Termination phase: shuffling
% 1.08/0.74  
% 1.08/0.74  % (25559)Memory used [KB]: 1407
% 1.08/0.74  % (25559)Time elapsed: 0.002 s
% 1.08/0.74  % (25559)Instructions burned: 2 (million)
% 1.08/0.74  % (25559)------------------------------
% 1.08/0.74  % (25559)------------------------------
% 1.08/0.74  % (25573)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 (2997ds/498Mi)
% 1.08/0.74  % (25553)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 1.08/0.75  % (25555)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 (2997ds/48Mi)
% 1.08/0.75  % (25566)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 (2997ds/75Mi)
% 1.08/0.75  % (25551)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 1.08/0.75  % (25563)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/101Mi)
% 1.08/0.75  % (25580)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/439Mi)
% 1.08/0.75  % (25574)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 (2997ds/467Mi)
% 1.08/0.75  % (25572)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/138Mi)
% 1.08/0.76  % (25575)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/482Mi)
% 1.08/0.76  % (25567)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 (2997ds/99Mi)
% 1.08/0.76  % (25581)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 (2997ds/355Mi)
% 1.08/0.76  % (25557)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 1.08/0.76  % (25576)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 1.08/0.77  % (25570)First to succeed.
% 1.08/0.77  % (25552)Instruction limit reached!
% 1.08/0.77  % (25552)------------------------------
% 1.08/0.77  % (25552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.08/0.77  % (25552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.08/0.77  % (25552)Termination reason: Unknown
% 1.08/0.77  % (25552)Termination phase: Saturation
% 1.08/0.77  
% 1.08/0.77  % (25552)Memory used [KB]: 1791
% 1.08/0.77  % (25552)Time elapsed: 0.022 s
% 1.08/0.77  % (25552)Instructions burned: 38 (million)
% 1.08/0.77  % (25552)------------------------------
% 1.08/0.77  % (25552)------------------------------
% 1.08/0.78  % (25557)Instruction limit reached!
% 1.08/0.78  % (25557)------------------------------
% 1.08/0.78  % (25557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.08/0.78  % (25557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.08/0.78  % (25557)Termination reason: Unknown
% 1.08/0.78  % (25557)Termination phase: Saturation
% 1.08/0.78  
% 1.08/0.78  % (25557)Memory used [KB]: 6012
% 1.08/0.78  % (25557)Time elapsed: 0.007 s
% 1.08/0.78  % (25557)Instructions burned: 7 (million)
% 1.08/0.78  % (25557)------------------------------
% 1.08/0.78  % (25557)------------------------------
% 1.08/0.78  % (25570)Refutation found. Thanks to Tanya!
% 1.08/0.78  % SZS status Unsatisfiable for theBenchmark
% 1.08/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 1.08/0.78  % (25570)------------------------------
% 1.08/0.78  % (25570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.08/0.78  % (25570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.08/0.78  % (25570)Termination reason: Refutation
% 1.08/0.78  
% 1.08/0.78  % (25570)Memory used [KB]: 1791
% 1.08/0.78  % (25570)Time elapsed: 0.169 s
% 1.08/0.78  % (25570)Instructions burned: 40 (million)
% 1.08/0.78  % (25570)------------------------------
% 1.08/0.78  % (25570)------------------------------
% 1.08/0.78  % (25351)Success in time 0.421 s
%------------------------------------------------------------------------------