TSTP Solution File: SWV951-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV951-1 : 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 : 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 : Wed Aug 31 19:02:06 EDT 2022

% Result   : Unsatisfiable 0.16s 0.56s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   25 (  18 unt;   0 def)
%            Number of atoms       :   32 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  10   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-5 aty)
%            Number of functors    :   23 (  23 usr;  15 con; 0-4 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f536,plain,
    $false,
    inference(resolution,[],[f533,f420]) ).

fof(f420,plain,
    hBOOL(sF6(v_T____)),
    inference(superposition,[],[f419,f374]) ).

fof(f374,plain,
    ! [X50] : sF6(X50) = hAPP(sF5(X50),v_T____),
    introduced(function_definition,[]) ).

fof(f419,plain,
    ! [X0] : hBOOL(hAPP(sF5(X0),X0)),
    inference(forward_demodulation,[],[f418,f373]) ).

fof(f373,plain,
    ! [X50] : hAPP(sF4,X50) = sF5(X50),
    introduced(function_definition,[]) ).

fof(f418,plain,
    ! [X0] : hBOOL(hAPP(hAPP(sF4,X0),X0)),
    inference(superposition,[],[f343,f372]) ).

fof(f372,plain,
    c_TypeRel_Owiden(v_P,sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f343,axiom,
    ! [X3,X57,X15] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X15,X3),X57),X57)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).

fof(f533,plain,
    ! [X0] : ~ hBOOL(sF6(X0)),
    inference(resolution,[],[f532,f376]) ).

fof(f376,plain,
    ! [X50] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,sF7,X50)
      | ~ hBOOL(sF6(X50)) ),
    inference(definition_folding,[],[f365,f375,f368,f374,f373,f372,f371,f370,f368,f369,f368]) ).

fof(f369,plain,
    tc_List_Olist(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f370,plain,
    tc_Expr_Oexp(sF0) = sF2,
    introduced(function_definition,[]) ).

fof(f371,plain,
    sF3 = tc_prod(sF1,sF2),
    introduced(function_definition,[]) ).

fof(f368,plain,
    tc_List_Olist(tc_String_Ochar) = sF0,
    introduced(function_definition,[]) ).

fof(f375,plain,
    c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,sF0) = sF7,
    introduced(function_definition,[]) ).

fof(f365,axiom,
    ! [X50] :
      ( ~ 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)))),X50),v_T____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,tc_List_Olist(tc_String_Ochar)),X50) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f532,plain,
    ! [X0] : c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,sF7,X0),
    inference(resolution,[],[f529,f333]) ).

fof(f333,axiom,
    ! [X51,X57,X16,X15,X60] :
      ( ~ c_Progress_OWTrt_H(X15,X60,X51,X16,X57)
      | c_WellTypeRT_OWTrt(X15,X60,X51,X16,X57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).

fof(f529,plain,
    ! [X0] : c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,sF7,X0),
    inference(resolution,[],[f528,f462]) ).

fof(f462,plain,
    c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    inference(resolution,[],[f332,f364]) ).

fof(f364,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f332,axiom,
    ! [X51,X57,X16,X15,X60] :
      ( ~ c_WellTypeRT_OWTrt(X15,X60,X51,X16,X57)
      | c_Progress_OWTrt_H(X15,X60,X51,X16,X57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).

fof(f528,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Progress_OWTrt_H(X0,X1,X2,v_e_Ha____,c_Type_Oty_ONT)
      | c_Progress_OWTrt_H(X0,X1,X2,sF7,X3) ),
    inference(superposition,[],[f525,f375]) ).

fof(f525,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( c_Progress_OWTrt_H(X0,X1,X2,c_Expr_Oexp_OFAcc(X3,X4,X5,sF0),X6)
      | ~ c_Progress_OWTrt_H(X0,X1,X2,X3,c_Type_Oty_ONT) ),
    inference(superposition,[],[f83,f368]) ).

fof(f83,axiom,
    ! [X51,X57,X16,X62,X15,X60,X61] :
      ( c_Progress_OWTrt_H(X15,X60,X51,c_Expr_Oexp_OFAcc(X16,X61,X62,tc_List_Olist(tc_String_Ochar)),X57)
      | ~ c_Progress_OWTrt_H(X15,X60,X51,X16,c_Type_Oty_ONT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I9_J_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV951-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Aug 30 20:12:19 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.16/0.49  % (19628)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)
% 0.16/0.49  % (19625)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)
% 0.16/0.49  % (19612)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  % (19629)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  % (19617)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)
% 0.16/0.50  % (19620)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)
% 0.16/0.50  % (19613)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50  % (19633)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)
% 0.16/0.51  % (19613)Instruction limit reached!
% 0.16/0.51  % (19613)------------------------------
% 0.16/0.51  % (19613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (19621)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)
% 0.16/0.52  % (19613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (19613)Termination reason: Unknown
% 0.16/0.52  % (19613)Termination phase: Saturation
% 0.16/0.52  
% 0.16/0.52  % (19613)Memory used [KB]: 5756
% 0.16/0.52  % (19613)Time elapsed: 0.108 s
% 0.16/0.52  % (19613)Instructions burned: 7 (million)
% 0.16/0.52  % (19613)------------------------------
% 0.16/0.52  % (19613)------------------------------
% 0.16/0.54  % (19614)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.54  % (19614)Instruction limit reached!
% 0.16/0.54  % (19614)------------------------------
% 0.16/0.54  % (19614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54  % (19614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54  % (19614)Termination reason: Unknown
% 0.16/0.54  % (19614)Termination phase: Blocked clause elimination
% 0.16/0.54  
% 0.16/0.54  % (19614)Memory used [KB]: 1151
% 0.16/0.54  % (19614)Time elapsed: 0.003 s
% 0.16/0.54  % (19614)Instructions burned: 2 (million)
% 0.16/0.54  % (19614)------------------------------
% 0.16/0.54  % (19614)------------------------------
% 0.16/0.54  % (19617)First to succeed.
% 0.16/0.55  % (19616)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  % (19607)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)
% 0.16/0.55  % (19611)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)
% 0.16/0.55  % (19626)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)
% 0.16/0.55  % (19609)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)
% 0.16/0.56  % (19634)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.56  % (19619)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.56  % (19632)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)
% 0.16/0.56  % (19617)Refutation found. Thanks to Tanya!
% 0.16/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.56  % (19617)------------------------------
% 0.16/0.56  % (19617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.56  % (19617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.56  % (19617)Termination reason: Refutation
% 0.16/0.56  
% 0.16/0.56  % (19617)Memory used [KB]: 6140
% 0.16/0.56  % (19617)Time elapsed: 0.135 s
% 0.16/0.56  % (19617)Instructions burned: 26 (million)
% 0.16/0.56  % (19617)------------------------------
% 0.16/0.56  % (19617)------------------------------
% 0.16/0.56  % (19605)Success in time 0.228 s
%------------------------------------------------------------------------------