TSTP Solution File: SWW478+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW478+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.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 : Sun May  5 11:40:52 EDT 2024

% Result   : Theorem 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   51 (  51 unt;   0 def)
%            Number of atoms       :   51 (  24 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   13 (  13   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   61 (  61 usr;  41 con; 0-5 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3803,plain,
    $false,
    inference(global_subsumption,[],[f2615,f2616,f2617,f2618,f2619,f2620,f2621,f2622,f2623,f2624,f2625,f2626,f2627,f2628,f2629,f2630,f2631,f2632,f2633,f2634,f2635,f2636,f2637,f2638]) ).

fof(f2638,plain,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).

fof(f2637,plain,
    hBOOL(wTrt(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,val_list_char(v)),ea)),t)),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,axiom,
    hBOOL(wTrt(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,val_list_char(v)),ea)),t)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_InitBlockRed_I5_J) ).

fof(f2636,plain,
    hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    hBOOL(hAPP_P159683425l_bool(typeSa807100911_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_InitBlockRed_I4_J) ).

fof(f2635,plain,
    hAPP_l207779698on_val(l_a,v_1) = hAPP_val_option_val(some_val,v_2),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    hAPP_l207779698on_val(l_a,v_1) = hAPP_val_option_val(some_val,v_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_InitBlockRed_I3_J) ).

fof(f2634,plain,
    hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_assms) ).

fof(f2633,plain,
    is_bop(undefined_bop(bop)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    is_bop(undefined_bop(bop)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Expr__Obop) ).

fof(f2632,plain,
    produc392960766l_bool = produc1741654153l_bool,
    inference(cnf_transformation,[],[f218]) ).

fof(f218,axiom,
    produc392960766l_bool = produc1741654153l_bool,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_internal__split__def) ).

fof(f2631,plain,
    produc1815960045l_bool = produc399384568l_bool,
    inference(cnf_transformation,[],[f219]) ).

fof(f219,axiom,
    produc1815960045l_bool = produc399384568l_bool,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_internal__split__def) ).

fof(f2630,plain,
    produc1911463199l_bool = produc1988544340l_bool,
    inference(cnf_transformation,[],[f220]) ).

fof(f220,axiom,
    produc1911463199l_bool = produc1988544340l_bool,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_internal__split__def) ).

fof(f2629,plain,
    produc1704639885r_bool = produc1779501634r_bool,
    inference(cnf_transformation,[],[f217]) ).

fof(f217,axiom,
    produc1704639885r_bool = produc1779501634r_bool,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_internal__split__def) ).

fof(f2628,plain,
    produc769963999l_bool = produc1401528596l_bool,
    inference(cnf_transformation,[],[f215]) ).

fof(f215,axiom,
    produc769963999l_bool = produc1401528596l_bool,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_internal__split__def) ).

fof(f2627,plain,
    produc1326056646l_bool = produc85367547l_bool,
    inference(cnf_transformation,[],[f216]) ).

fof(f216,axiom,
    produc1326056646l_bool = produc85367547l_bool,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_internal__split__def) ).

fof(f2626,plain,
    produc2128769400l_bool = produc1958875245l_bool,
    inference(cnf_transformation,[],[f221]) ).

fof(f221,axiom,
    produc2128769400l_bool = produc1958875245l_bool,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_internal__split__def) ).

fof(f2625,plain,
    unit != null,
    inference(cnf_transformation,[],[f672]) ).

fof(f672,axiom,
    unit != null,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_632_val_Osimps_I5_J) ).

fof(f2624,plain,
    unit != null,
    inference(cnf_transformation,[],[f671]) ).

fof(f671,axiom,
    unit != null,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_631_val_Osimps_I4_J) ).

fof(f2623,plain,
    void != nt,
    inference(cnf_transformation,[],[f670]) ).

fof(f670,axiom,
    void != nt,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_630_ty_Osimps_I7_J) ).

fof(f2622,plain,
    void != nt,
    inference(cnf_transformation,[],[f669]) ).

fof(f669,axiom,
    void != nt,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_629_ty_Osimps_I6_J) ).

fof(f2621,plain,
    is_bool(fFalse),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    is_bool(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fFalse) ).

fof(f2620,plain,
    is_bool(fTrue),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    is_bool(fTrue),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fTrue) ).

fof(f2619,plain,
    is_bop(add),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    is_bop(add),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Expr_Obop_OAdd) ).

fof(f2618,plain,
    is_bop(c_Expr_Obop_OEq),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    is_bop(c_Expr_Obop_OEq),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Expr_Obop_OEq) ).

fof(f2617,plain,
    ~ hBOOL(fFalse),
    inference(cnf_transformation,[],[f743]) ).

fof(f743,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

fof(f2616,plain,
    ! [X0,X1] : is_bool(member773094996on_val(X0,X1)),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1] : is_bool(member773094996on_val(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_) ).

fof(f2615,plain,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(cnf_transformation,[],[f807]) ).

fof(f807,plain,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(flattening,[],[f806]) ).

fof(f806,negated_conjecture,
    ~ hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    inference(negated_conjecture,[],[f805]) ).

fof(f805,conjecture,
    hBOOL(member773094996on_val(hAPP_P1886180715on_val(hAPP_P1870962205on_val(produc1441475159on_val,hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,ea),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),fun_up1149430426on_val(la,v_1,hAPP_val_option_val(some_val,v))))),hAPP_P604205461on_val(hAPP_e1659493427on_val(produc1259058957on_val,e_a),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,h_a),l_a))),red(p))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWW478+2 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n013.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   : Fri May  3 19:40:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (20555)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43  % (20558)WARNING: value z3 for option sas not known
% 0.20/0.43  % (20559)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.43  % (20556)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.43  % (20560)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.43  % (20561)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.43  % (20557)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.43  % (20562)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.43  % (20558)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.48  % (20558)First to succeed.
% 0.20/0.48  % (20558)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20555"
% 0.20/0.48  % (20558)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Theorem for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (20558)------------------------------
% 0.20/0.48  % (20558)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.48  % (20558)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (20558)Memory used [KB]: 3460
% 0.20/0.48  % (20558)Time elapsed: 0.044 s
% 0.20/0.48  % (20558)Instructions burned: 99 (million)
% 0.20/0.48  % (20555)Success in time 0.108 s
%------------------------------------------------------------------------------