TSTP Solution File: ALG425-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ALG425-1 : 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 15:41:50 EDT 2022

% Result   : Unsatisfiable 0.23s 0.59s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   6 unt;   0 def)
%            Number of atoms       :    6 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f852,plain,
    $false,
    inference(subsumption_resolution,[],[f819,f806]) ).

fof(f806,plain,
    ~ sP6(c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f819,plain,
    sP6(c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
    inference(superposition,[],[f807,f678]) ).

fof(f678,axiom,
    c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_HOL_Otimes__class_Otimes(v_pa____,c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),v_c____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f807,plain,
    ! [X4] : sP6(c_HOL_Otimes__class_Otimes(v_pa____,X4,tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
    inference(inequality_splitting,[],[f679,f806]) ).

fof(f679,axiom,
    ! [X4] : c_Power_Opower__class_Opower(v_qa____,v_na____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_HOL_Otimes__class_Otimes(v_pa____,X4,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : ALG425-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.16/0.36  % Computer : n018.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Aug 29 15:13:39 EDT 2022
% 0.16/0.37  % CPUTime    : 
% 0.23/0.56  % (13996)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.57  % (13989)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)
% 0.23/0.57  % (14007)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.58  % (13989)Instruction limit reached!
% 0.23/0.58  % (13989)------------------------------
% 0.23/0.58  % (13989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.58  % (13989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.58  % (13989)Termination reason: Unknown
% 0.23/0.58  % (13989)Termination phase: Function definition elimination
% 0.23/0.58  
% 0.23/0.58  % (13989)Memory used [KB]: 2174
% 0.23/0.58  % (13989)Time elapsed: 0.004 s
% 0.23/0.58  % (13989)Instructions burned: 5 (million)
% 0.23/0.58  % (13989)------------------------------
% 0.23/0.58  % (13989)------------------------------
% 0.23/0.58  % (14007)Instruction limit reached!
% 0.23/0.58  % (14007)------------------------------
% 0.23/0.58  % (14007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.58  % (14007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.58  % (14007)Termination reason: Unknown
% 0.23/0.58  % (14007)Termination phase: Property scanning
% 0.23/0.58  
% 0.23/0.58  % (14007)Memory used [KB]: 2174
% 0.23/0.58  % (14007)Time elapsed: 0.006 s
% 0.23/0.58  % (14007)Instructions burned: 6 (million)
% 0.23/0.58  % (14007)------------------------------
% 0.23/0.58  % (14007)------------------------------
% 0.23/0.58  % (14009)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)
% 0.23/0.58  % (14015)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)
% 0.23/0.58  % (13996)First to succeed.
% 0.23/0.59  % (14001)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)
% 0.23/0.59  % (14008)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.23/0.59  % (13990)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)
% 0.23/0.59  % (13996)Refutation found. Thanks to Tanya!
% 0.23/0.59  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.59  % (13996)------------------------------
% 0.23/0.59  % (13996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.59  % (13996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.59  % (13996)Termination reason: Refutation
% 0.23/0.59  
% 0.23/0.59  % (13996)Memory used [KB]: 7291
% 0.23/0.59  % (13996)Time elapsed: 0.127 s
% 0.23/0.59  % (13996)Instructions burned: 27 (million)
% 0.23/0.59  % (13996)------------------------------
% 0.23/0.59  % (13996)------------------------------
% 0.23/0.59  % (13986)Success in time 0.215 s
%------------------------------------------------------------------------------