TSTP Solution File: ALG439-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG439-1 : 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 : n019.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 15:44:24 EDT 2022

% Result   : Unsatisfiable 0.16s 0.60s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   22 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (   9   ~;   7   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f978,plain,
    $false,
    inference(avatar_sat_refutation,[],[f926,f957,f977]) ).

fof(f977,plain,
    ( spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f976,f919,f923]) ).

fof(f923,plain,
    ( spl0_2
  <=> v_c = v_y ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f919,plain,
    ( spl0_1
  <=> v_y = c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f976,plain,
    ( v_c = v_y
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f921,f733]) ).

fof(f733,axiom,
    ! [X7,X4] : c_Polynomial_Opoly(c_Polynomial_OpCons(X7,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex) = X7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_resolve__eq__raw_I2_J_0) ).

fof(f921,plain,
    ( v_y = c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f957,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f956,f923]) ).

fof(f956,plain,
    v_c != v_y,
    inference(duplicate_literal_removal,[],[f955]) ).

fof(f955,plain,
    ( v_c != v_y
    | v_c != v_y ),
    inference(forward_demodulation,[],[f735,f733]) ).

fof(f735,axiom,
    ( v_y != c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)
    | v_c != v_y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f926,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f736,f923,f919]) ).

fof(f736,axiom,
    ( v_c = v_y
    | v_y = c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : ALG439-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n019.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Aug 29 15:13:20 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.49  % (31691)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)
% 0.16/0.49  % (31708)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)
% 0.16/0.50  % (31700)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)
% 0.16/0.50  % (31707)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)
% 0.16/0.50  % (31699)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)
% 0.16/0.51  % (31692)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.52  % (31696)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)
% 0.16/0.52  % (31690)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)
% 0.16/0.52  % (31692)Instruction limit reached!
% 0.16/0.52  % (31692)------------------------------
% 0.16/0.52  % (31692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (31692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (31692)Termination reason: Unknown
% 0.16/0.52  % (31692)Termination phase: Saturation
% 0.16/0.52  
% 0.16/0.52  % (31692)Memory used [KB]: 6396
% 0.16/0.52  % (31692)Time elapsed: 0.013 s
% 0.16/0.52  % (31692)Instructions burned: 8 (million)
% 0.16/0.52  % (31692)------------------------------
% 0.16/0.52  % (31692)------------------------------
% 0.16/0.53  % (31685)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)
% 0.16/0.53  % (31689)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.53  % (31693)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.53  % (31697)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.53  % (31693)Instruction limit reached!
% 0.16/0.53  % (31693)------------------------------
% 0.16/0.53  % (31693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (31693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (31693)Termination reason: Unknown
% 0.16/0.53  % (31693)Termination phase: shuffling
% 0.16/0.53  
% 0.16/0.53  % (31693)Memory used [KB]: 1663
% 0.16/0.53  % (31693)Time elapsed: 0.003 s
% 0.16/0.53  % (31693)Instructions burned: 2 (million)
% 0.16/0.53  % (31693)------------------------------
% 0.16/0.53  % (31693)------------------------------
% 0.16/0.53  % (31698)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.53  % (31687)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)
% 0.16/0.54  % (31688)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)
% 0.16/0.54  % (31695)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.55  % (31704)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)
% 0.16/0.55  % (31710)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.55  % (31713)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.55  % (31686)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)
% 0.16/0.56  % (31706)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.56  % (31709)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.56  % (31702)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.56  % (31712)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)
% 0.16/0.56  % (31701)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)
% 0.16/0.56  % (31694)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)
% 0.16/0.56  % (31705)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)
% 0.16/0.57  % (31714)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)
% 0.16/0.57  % (31691)Instruction limit reached!
% 0.16/0.57  % (31691)------------------------------
% 0.16/0.57  % (31691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57  % (31691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57  % (31691)Termination reason: Unknown
% 0.16/0.57  % (31691)Termination phase: Finite model building preprocessing
% 0.16/0.57  
% 0.16/0.57  % (31691)Memory used [KB]: 3070
% 0.16/0.57  % (31691)Time elapsed: 0.031 s
% 0.16/0.57  % (31691)Instructions burned: 51 (million)
% 0.16/0.57  % (31691)------------------------------
% 0.16/0.57  % (31691)------------------------------
% 0.16/0.59  % (31708)First to succeed.
% 0.16/0.60  % (31699)Also succeeded, but the first one will report.
% 0.16/0.60  % (31708)Refutation found. Thanks to Tanya!
% 0.16/0.60  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.60  % (31708)------------------------------
% 0.16/0.60  % (31708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.60  % (31708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.60  % (31708)Termination reason: Refutation
% 0.16/0.60  
% 0.16/0.60  % (31708)Memory used [KB]: 6908
% 0.16/0.60  % (31708)Time elapsed: 0.070 s
% 0.16/0.60  % (31708)Instructions burned: 53 (million)
% 0.16/0.60  % (31708)------------------------------
% 0.16/0.60  % (31708)------------------------------
% 0.16/0.60  % (31684)Success in time 0.282 s
%------------------------------------------------------------------------------