TSTP Solution File: SWV963-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV963-1 : 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 : n007.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 19:02:08 EDT 2022

% Result   : Unsatisfiable 1.41s 0.60s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   7 unt;   3 typ;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   2 prp; 0-5 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-5 aty)
%            Number of variables   :    3 (   3   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_18,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_19,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_20,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f1400,plain,
    $false,
    inference(sat_instgen_refutation,[],[f459,f1397]) ).

fof(f1397,plain,
    ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    inference(resolution,[],[f1396,f642]) ).

fof(f642,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    inference(literal_reordering,[],[f460]) ).

fof(f460,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f1396,plain,
    ! [X56] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X56)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X56),v_T_092_060_094isub_0622____)) ),
    inference(subsumption_resolution,[],[f670,f509]) ).

fof(f509,plain,
    ~ v_thesis____,
    inference(literal_reordering,[],[f461]) ).

fof(f461,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f670,plain,
    ! [X56] :
      ( v_thesis____
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X56),v_T_092_060_094isub_0622____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X56) ),
    inference(literal_reordering,[],[f462]) ).

fof(f462,axiom,
    ! [X56] :
      ( v_thesis____
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X56),v_T_092_060_094isub_0622____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X56) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f459,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWV963-1 : TPTP v8.1.0. Released v4.1.0.
% 0.05/0.11  % 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 : n007.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   : Tue Aug 30 19:55:31 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.49  % (1898)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)
% 0.16/0.51  % (1914)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)
% 0.16/0.51  % (1893)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)
% 0.16/0.51  % (1906)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)
% 0.16/0.53  % (1895)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  % (1919)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)
% 0.16/0.54  % (1917)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.54  % (1915)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)
% 0.16/0.54  % (1911)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)
% 0.16/0.54  % (1901)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)
% 0.16/0.55  % (1907)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)
% 0.99/0.55  % (1903)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)
% 0.99/0.55  % (1899)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.99/0.55  % (1898)Instruction limit reached!
% 0.99/0.55  % (1898)------------------------------
% 0.99/0.55  % (1898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/0.56  % (1898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/0.56  % (1898)Termination reason: Unknown
% 0.99/0.56  % (1898)Termination phase: Finite model building preprocessing
% 0.99/0.56  
% 0.99/0.56  % (1898)Memory used [KB]: 1918
% 0.99/0.56  % (1898)Time elapsed: 0.021 s
% 0.99/0.56  % (1898)Instructions burned: 53 (million)
% 0.99/0.56  % (1898)------------------------------
% 0.99/0.56  % (1898)------------------------------
% 0.99/0.56  % (1899)Instruction limit reached!
% 0.99/0.56  % (1899)------------------------------
% 0.99/0.56  % (1899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.99/0.56  % (1899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.99/0.56  % (1899)Termination reason: Unknown
% 0.99/0.56  % (1899)Termination phase: Property scanning
% 0.99/0.56  
% 0.99/0.56  % (1899)Memory used [KB]: 1279
% 0.99/0.56  % (1899)Time elapsed: 0.009 s
% 0.99/0.56  % (1899)Instructions burned: 8 (million)
% 0.99/0.56  % (1899)------------------------------
% 0.99/0.56  % (1899)------------------------------
% 1.41/0.57  % (1892)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)
% 1.41/0.58  % (1894)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)
% 1.41/0.58  % (1906)First to succeed.
% 1.41/0.58  % (1900)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.58  % (1900)Instruction limit reached!
% 1.41/0.58  % (1900)------------------------------
% 1.41/0.58  % (1900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.58  % (1900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.58  % (1900)Termination reason: Unknown
% 1.41/0.58  % (1900)Termination phase: Unused predicate definition removal
% 1.41/0.58  
% 1.41/0.58  % (1900)Memory used [KB]: 1279
% 1.41/0.58  % (1900)Time elapsed: 0.002 s
% 1.41/0.58  % (1900)Instructions burned: 2 (million)
% 1.41/0.58  % (1900)------------------------------
% 1.41/0.58  % (1900)------------------------------
% 1.41/0.58  % (1893)Instruction limit reached!
% 1.41/0.58  % (1893)------------------------------
% 1.41/0.58  % (1893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.59  % (1893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.59  % (1893)Termination reason: Unknown
% 1.41/0.59  % (1893)Termination phase: Saturation
% 1.41/0.59  
% 1.41/0.59  % (1893)Memory used [KB]: 6140
% 1.41/0.59  % (1893)Time elapsed: 0.026 s
% 1.41/0.59  % (1893)Instructions burned: 50 (million)
% 1.41/0.59  % (1893)------------------------------
% 1.41/0.59  % (1893)------------------------------
% 1.41/0.60  % (1906)Refutation found. Thanks to Tanya!
% 1.41/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.41/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.60  % (1906)------------------------------
% 1.41/0.60  % (1906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.60  % (1906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.60  % (1906)Termination reason: Refutation
% 1.41/0.60  
% 1.41/0.60  % (1906)Memory used [KB]: 7036
% 1.41/0.60  % (1906)Time elapsed: 0.030 s
% 1.41/0.60  % (1906)Instructions burned: 64 (million)
% 1.41/0.60  % (1906)------------------------------
% 1.41/0.60  % (1906)------------------------------
% 1.41/0.60  % (1891)Success in time 0.274 s
%------------------------------------------------------------------------------