TSTP Solution File: ALG387-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG387-1 : 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 : n018.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 15:41:40 EDT 2022

% Result   : Unsatisfiable 1.36s 0.59s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-3 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f907,plain,
    $false,
    inference(subsumption_resolution,[],[f899,f887]) ).

fof(f887,plain,
    ~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unit_resulting_resolution,[],[f736,f734]) ).

fof(f734,axiom,
    ! [X29] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X29,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X29,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f736,axiom,
    ! [X25] : ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X25,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X25),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f899,plain,
    c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unit_resulting_resolution,[],[f885,f709]) ).

fof(f709,axiom,
    ! [X7,X14] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(X14,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_lessequals(X7,c_RealVector_Onorm__class_Onorm(X14,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ath_0) ).

fof(f885,plain,
    ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(unit_resulting_resolution,[],[f736,f735]) ).

fof(f735,axiom,
    ! [X14] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X14,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
      | ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X14,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ALG387-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 29 15:11:54 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.54  % (11742)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)
% 0.22/0.54  % (11734)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)
% 0.22/0.55  % (11726)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)
% 1.21/0.56  % (11728)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)
% 1.21/0.56  % (11745)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.21/0.56  % (11737)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.21/0.56  % (11720)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.21/0.57  % (11737)Instruction limit reached!
% 1.21/0.57  % (11737)------------------------------
% 1.21/0.57  % (11737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.57  % (11728)Instruction limit reached!
% 1.36/0.57  % (11728)------------------------------
% 1.36/0.57  % (11728)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.57  % (11728)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.57  % (11728)Termination reason: Unknown
% 1.36/0.57  % (11728)Termination phase: shuffling
% 1.36/0.57  
% 1.36/0.57  % (11728)Memory used [KB]: 2302
% 1.36/0.57  % (11728)Time elapsed: 0.006 s
% 1.36/0.57  % (11728)Instructions burned: 4 (million)
% 1.36/0.57  % (11728)------------------------------
% 1.36/0.57  % (11728)------------------------------
% 1.36/0.57  % (11737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.57  % (11737)Termination reason: Unknown
% 1.36/0.57  % (11737)Termination phase: Saturation
% 1.36/0.57  
% 1.36/0.57  % (11737)Memory used [KB]: 6780
% 1.36/0.57  % (11737)Time elapsed: 0.007 s
% 1.36/0.57  % (11737)Instructions burned: 8 (million)
% 1.36/0.57  % (11737)------------------------------
% 1.36/0.57  % (11737)------------------------------
% 1.36/0.58  % (11723)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)
% 1.36/0.58  % (11721)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.36/0.58  % (11747)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.36/0.58  % (11725)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.36/0.58  % (11727)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)
% 1.36/0.58  % (11724)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)
% 1.36/0.58  % (11724)First to succeed.
% 1.36/0.59  % (11724)Refutation found. Thanks to Tanya!
% 1.36/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.36/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.59  % (11724)------------------------------
% 1.36/0.59  % (11724)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.59  % (11724)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.59  % (11724)Termination reason: Refutation
% 1.36/0.59  
% 1.36/0.59  % (11724)Memory used [KB]: 6780
% 1.36/0.59  % (11724)Time elapsed: 0.138 s
% 1.36/0.59  % (11724)Instructions burned: 5 (million)
% 1.36/0.59  % (11724)------------------------------
% 1.36/0.59  % (11724)------------------------------
% 1.36/0.59  % (11719)Success in time 0.22 s
%------------------------------------------------------------------------------