TSTP Solution File: SWW478+3 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW478+3 : 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 : n024.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 : Tue Apr 30 17:35:21 EDT 2024

% Result   : Theorem 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   47 (  47 unt;   0 def)
%            Number of atoms       :   47 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   17 (  17   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   54 (  54 usr;  33 con; 0-5 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7696,plain,
    $false,
    inference(global_subsumption,[],[f5213,f5214,f5215,f5216,f5217,f5218,f5219,f5220,f5221,f5222,f5223,f5224,f5225,f5226,f5227,f5228,f5229,f5230,f5231,f5232,f5233,f5234]) ).

fof(f5234,plain,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(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,[],[f143]) ).

fof(f143,axiom,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(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/sandbox/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).

fof(f5233,plain,
    hBOOL(wTrt_1(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,hAPP_v834067052t_char(val_list_char,v)),ea)),t)),
    inference(cnf_transformation,[],[f490]) ).

fof(f490,axiom,
    hBOOL(wTrt_1(p,ha,e,block_list_char(v_1,t_1,seq_list_char(lAss_list_char(v_1,hAPP_v834067052t_char(val_list_char,v)),ea)),t)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_InitBlockRed_I5_J) ).

fof(f5232,plain,
    hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,axiom,
    hBOOL(hAPP_P159683425l_bool(typeSa1700205512_sconf(p,e),hAPP_f1727192346on_val(hAPP_f1849790461on_val(produc899768717on_val,ha),la))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_InitBlockRed_I4_J) ).

fof(f5231,plain,
    hAPP_l207779698on_val(l_a,v_1) = hAPP_val_option_val(some_val,v_2),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,axiom,
    hAPP_l207779698on_val(l_a,v_1) = hAPP_val_option_val(some_val,v_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_InitBlockRed_I3_J) ).

fof(f5230,plain,
    hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,axiom,
    hBOOL(wf_pro755087577t_char(wf_J_mdecl,p)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_assms) ).

fof(f5229,plain,
    is_bop(undefined_bop(bop)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    is_bop(undefined_bop(bop)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_HOL_Oundefined_000tc__Expr__Obop) ).

fof(f5228,plain,
    produc1958875245l_bool = produc2128769400l_bool,
    inference(cnf_transformation,[],[f661]) ).

fof(f661,axiom,
    produc1958875245l_bool = produc2128769400l_bool,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_519_internal__split__def) ).

fof(f5227,plain,
    produc907433735ion_ty = produc1577326610ion_ty,
    inference(cnf_transformation,[],[f660]) ).

fof(f660,axiom,
    produc907433735ion_ty = produc1577326610ion_ty,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_518_internal__split__def) ).

fof(f5226,plain,
    unit != null,
    inference(cnf_transformation,[],[f1175]) ).

fof(f1175,axiom,
    unit != null,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1033_val_Osimps_I4_J) ).

fof(f5225,plain,
    unit != null,
    inference(cnf_transformation,[],[f1174]) ).

fof(f1174,axiom,
    unit != null,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1032_val_Osimps_I5_J) ).

fof(f5224,plain,
    void != nt,
    inference(cnf_transformation,[],[f1254]) ).

fof(f1254,axiom,
    void != nt,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1112_ty_Osimps_I7_J) ).

fof(f5223,plain,
    void != nt,
    inference(cnf_transformation,[],[f1255]) ).

fof(f1255,axiom,
    void != nt,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1113_ty_Osimps_I6_J) ).

fof(f5222,plain,
    add != c_Expr_Obop_OEq,
    inference(cnf_transformation,[],[f1223]) ).

fof(f1223,axiom,
    add != c_Expr_Obop_OEq,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1081_bop_Osimps_I2_J) ).

fof(f5221,plain,
    add != c_Expr_Obop_OEq,
    inference(cnf_transformation,[],[f1224]) ).

fof(f1224,axiom,
    add != c_Expr_Obop_OEq,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1082_bop_Osimps_I1_J) ).

fof(f5220,plain,
    hBOOL(fTrue),
    inference(cnf_transformation,[],[f1344]) ).

fof(f1344,axiom,
    hBOOL(fTrue),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).

fof(f5219,plain,
    is_bool(fTrue),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    is_bool(fTrue),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fTrue) ).

fof(f5218,plain,
    is_bool(fFalse),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    is_bool(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fFalse) ).

fof(f5217,plain,
    is_bop(add),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    is_bop(add),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Expr_Obop_OAdd) ).

fof(f5216,plain,
    is_bop(c_Expr_Obop_OEq),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    is_bop(c_Expr_Obop_OEq),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Expr_Obop_OEq) ).

fof(f5215,plain,
    ~ hBOOL(fFalse),
    inference(cnf_transformation,[],[f1352]) ).

fof(f1352,axiom,
    ~ hBOOL(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

fof(f5214,plain,
    ! [X0,X1] : is_bool(hAPP_f1453283057l_bool(X0,X1)),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0,X1] : is_bool(hAPP_f1453283057l_bool(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__) ).

fof(f5213,plain,
    ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(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,[],[f1493]) ).

fof(f1493,plain,
    ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(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,[],[f1492]) ).

fof(f1492,negated_conjecture,
    ~ hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(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,[],[f1491]) ).

fof(f1491,conjecture,
    hBOOL(hAPP_f1453283057l_bool(hAPP_P1303341961l_bool(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/sandbox/benchmark/theBenchmark.p',conj_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW478+3 : TPTP v8.1.2. Released v5.3.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 02:57:36 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (28333)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48  % (28336)WARNING: value z3 for option sas not known
% 0.20/0.48  % (28336)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)
% 0.20/0.49  % (28335)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.49  % (28334)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.49  % (28337)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.49  % (28338)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)
% 0.20/0.49  % (28339)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)
% 0.20/0.49  % (28340)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)
% 0.20/0.56  % (28336)First to succeed.
% 0.20/0.57  % (28336)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Theorem for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57  % (28336)------------------------------
% 0.20/0.57  % (28336)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.57  % (28336)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (28336)Memory used [KB]: 6515
% 0.20/0.57  % (28336)Time elapsed: 0.083 s
% 0.20/0.57  % (28336)Instructions burned: 235 (million)
% 0.20/0.57  % (28336)------------------------------
% 0.20/0.57  % (28336)------------------------------
% 0.20/0.57  % (28333)Success in time 0.209 s
%------------------------------------------------------------------------------