TSTP Solution File: SWV982-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV982-1 : 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 : n003.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 19:02:11 EDT 2022

% Result   : Unsatisfiable 2.10s 0.68s
% Output   : Refutation 2.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   28 (  18 unt;   0 def)
%            Number of atoms       :   38 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  13   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-5 aty)
%            Number of functors    :   27 (  27 usr;  17 con; 0-8 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f952,plain,
    $false,
    inference(subsumption_resolution,[],[f951,f938]) ).

fof(f938,plain,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,sF7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,sF7,v_e_092_060_094isub_0622______,v_a______)),
    inference(resolution,[],[f465,f583]) ).

fof(f583,plain,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(sF7,v_C______,v_V______,v_e_092_060_094isub_0622______,sF0),v_T____),
    inference(forward_demodulation,[],[f582,f437]) ).

fof(f437,plain,
    sF7 = c_Expr_Oexp_Othrow(sF6,sF0),
    introduced(function_definition,[]) ).

fof(f582,plain,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(sF6,sF0),v_C______,v_V______,v_e_092_060_094isub_0622______,sF0),v_T____),
    inference(forward_demodulation,[],[f581,f436]) ).

fof(f436,plain,
    sF6 = c_Expr_Oexp_OVal(sF5,sF0),
    introduced(function_definition,[]) ).

fof(f581,plain,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(sF5,sF0),sF0),v_C______,v_V______,v_e_092_060_094isub_0622______,sF0),v_T____),
    inference(backward_demodulation,[],[f490,f435]) ).

fof(f435,plain,
    c_Value_Oval_OAddr(v_aa______) = sF5,
    introduced(function_definition,[]) ).

fof(f490,plain,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),sF0),sF0),v_C______,v_V______,v_e_092_060_094isub_0622______,sF0),v_T____),
    inference(backward_demodulation,[],[f415,f430]) ).

fof(f430,plain,
    tc_List_Olist(tc_String_Ochar) = sF0,
    introduced(function_definition,[]) ).

fof(f415,axiom,
    c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_OTryCatch(c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),v_C______,v_V______,v_e_092_060_094isub_0622______,tc_List_Olist(tc_String_Ochar)),v_T____),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_RedTryFail_I4_J_0) ).

fof(f465,plain,
    ! [X65,X51,X0,X46,X1,X47,X57,X8] :
      ( ~ c_WellTypeRT_OWTrt(X0,X65,X57,c_Expr_Oexp_OTryCatch(X46,X51,X1,X47,sF0),X8)
      | c_WellTypeRT_OWTrt(X0,X65,X57,X46,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X51,X57,X0,X8,X1,X46,X47,X65)) ),
    inference(backward_demodulation,[],[f179,f430]) ).

fof(f179,axiom,
    ! [X65,X51,X0,X46,X1,X8,X57,X47] :
      ( c_WellTypeRT_OWTrt(X0,X65,X57,X46,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X51,X57,X0,X8,X1,X46,X47,X65))
      | ~ c_WellTypeRT_OWTrt(X0,X65,X57,c_Expr_Oexp_OTryCatch(X46,X51,X1,X47,tc_List_Olist(tc_String_Ochar)),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_0) ).

fof(f951,plain,
    ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,sF7,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,sF7,v_e_092_060_094isub_0622______,v_a______)),
    inference(resolution,[],[f950,f438]) ).

fof(f438,plain,
    ! [X56] :
      ( ~ hBOOL(hAPP(hAPP(sF4,X56),v_T____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,sF7,X56) ),
    inference(definition_folding,[],[f427,f437,f430,f436,f430,f435,f434,f433,f432,f430,f431,f430]) ).

fof(f431,plain,
    sF1 = tc_List_Olist(sF0),
    introduced(function_definition,[]) ).

fof(f432,plain,
    sF2 = tc_Expr_Oexp(sF0),
    introduced(function_definition,[]) ).

fof(f433,plain,
    tc_prod(sF1,sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f434,plain,
    sF4 = c_TypeRel_Owiden(v_P,sF3),
    introduced(function_definition,[]) ).

fof(f427,axiom,
    ! [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____))
      | ~ c_WellTypeRT_OWTrt(v_P,v_a______,v_E____,c_Expr_Oexp_Othrow(c_Expr_Oexp_OVal(c_Value_Oval_OAddr(v_aa______),tc_List_Olist(tc_String_Ochar)),tc_List_Olist(tc_String_Ochar)),X56) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f950,plain,
    hBOOL(hAPP(hAPP(sF4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,sF7,v_e_092_060_094isub_0622______,v_a______)),v_T____)),
    inference(forward_demodulation,[],[f949,f434]) ).

fof(f949,plain,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,sF3),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(v_C______,v_E____,v_P,v_T____,v_V______,sF7,v_e_092_060_094isub_0622______,v_a______)),v_T____)),
    inference(resolution,[],[f550,f583]) ).

fof(f550,plain,
    ! [X65,X51,X0,X46,X1,X47,X57,X8] :
      ( ~ c_WellTypeRT_OWTrt(X0,X65,X57,c_Expr_Oexp_OTryCatch(X46,X51,X1,X47,sF0),X8)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,sF3),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X51,X57,X0,X8,X1,X46,X47,X65)),X8)) ),
    inference(forward_demodulation,[],[f549,f433]) ).

fof(f549,plain,
    ! [X65,X51,X0,X46,X1,X47,X57,X8] :
      ( ~ c_WellTypeRT_OWTrt(X0,X65,X57,c_Expr_Oexp_OTryCatch(X46,X51,X1,X47,sF0),X8)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(sF1,sF2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X51,X57,X0,X8,X1,X46,X47,X65)),X8)) ),
    inference(forward_demodulation,[],[f548,f431]) ).

fof(f548,plain,
    ! [X65,X51,X0,X46,X1,X47,X57,X8] :
      ( ~ c_WellTypeRT_OWTrt(X0,X65,X57,c_Expr_Oexp_OTryCatch(X46,X51,X1,X47,sF0),X8)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(sF0),sF2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X51,X57,X0,X8,X1,X46,X47,X65)),X8)) ),
    inference(forward_demodulation,[],[f547,f432]) ).

fof(f547,plain,
    ! [X65,X51,X0,X46,X1,X47,X57,X8] :
      ( ~ c_WellTypeRT_OWTrt(X0,X65,X57,c_Expr_Oexp_OTryCatch(X46,X51,X1,X47,sF0),X8)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(sF0),tc_Expr_Oexp(sF0))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X51,X57,X0,X8,X1,X46,X47,X65)),X8)) ),
    inference(forward_demodulation,[],[f485,f430]) ).

fof(f485,plain,
    ! [X65,X51,X0,X46,X1,X47,X57,X8] :
      ( ~ c_WellTypeRT_OWTrt(X0,X65,X57,c_Expr_Oexp_OTryCatch(X46,X51,X1,X47,sF0),X8)
      | hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X51,X57,X0,X8,X1,X46,X47,X65)),X8)) ),
    inference(backward_demodulation,[],[f405,f430]) ).

fof(f405,axiom,
    ! [X51,X65,X0,X46,X1,X8,X57,X47] :
      ( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1(X51,X57,X0,X8,X1,X46,X47,X65)),X8))
      | ~ c_WellTypeRT_OWTrt(X0,X65,X57,c_Expr_Oexp_OTryCatch(X46,X51,X1,X47,tc_List_Olist(tc_String_Ochar)),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV982-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n003.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   : Tue Aug 30 20:12:38 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.58  % (7876)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58  % (7876)Instruction limit reached!
% 0.20/0.58  % (7876)------------------------------
% 0.20/0.58  % (7876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (7892)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)
% 0.20/0.59  % (7884)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)
% 0.20/0.59  % (7876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (7876)Termination reason: Unknown
% 0.20/0.59  % (7876)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (7876)Memory used [KB]: 5756
% 0.20/0.59  % (7876)Time elapsed: 0.127 s
% 0.20/0.59  % (7876)Instructions burned: 7 (million)
% 0.20/0.59  % (7876)------------------------------
% 0.20/0.59  % (7876)------------------------------
% 0.20/0.60  % (7885)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)
% 0.20/0.60  % (7877)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.60  % (7877)Instruction limit reached!
% 0.20/0.60  % (7877)------------------------------
% 0.20/0.60  % (7877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (7877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (7877)Termination reason: Unknown
% 0.20/0.60  % (7877)Termination phase: Blocked clause elimination
% 0.20/0.60  
% 0.20/0.60  % (7877)Memory used [KB]: 1279
% 0.20/0.60  % (7877)Time elapsed: 0.005 s
% 0.20/0.60  % (7877)Instructions burned: 3 (million)
% 0.20/0.60  % (7877)------------------------------
% 0.20/0.60  % (7877)------------------------------
% 0.20/0.61  % (7893)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.57/0.62  % (7869)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)
% 1.57/0.63  % (7891)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)
% 1.91/0.63  % (7882)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.91/0.63  % (7897)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.91/0.64  % (7873)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.91/0.64  % (7883)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)
% 1.91/0.64  % (7898)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)
% 1.91/0.64  % (7872)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)
% 1.91/0.64  % (7874)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)
% 1.91/0.64  % (7875)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)
% 1.91/0.65  % (7878)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)
% 1.91/0.65  % (7896)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)
% 1.91/0.65  % (7890)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.91/0.65  % (7889)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)
% 1.91/0.65  % (7895)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)
% 1.91/0.65  % (7871)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)
% 1.91/0.65  % (7888)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)
% 1.91/0.65  % (7870)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)
% 2.10/0.66  % (7894)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.10/0.66  % (7879)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.10/0.67  % (7887)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.10/0.67  % (7886)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.10/0.67  % (7880)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)
% 2.10/0.67  % (7881)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.10/0.67  % (7884)First to succeed.
% 2.10/0.68  % (7884)Refutation found. Thanks to Tanya!
% 2.10/0.68  % SZS status Unsatisfiable for theBenchmark
% 2.10/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.10/0.68  % (7884)------------------------------
% 2.10/0.68  % (7884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.68  % (7884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.68  % (7884)Termination reason: Refutation
% 2.10/0.68  
% 2.10/0.68  % (7884)Memory used [KB]: 2174
% 2.10/0.68  % (7884)Time elapsed: 0.221 s
% 2.10/0.68  % (7884)Instructions burned: 58 (million)
% 2.10/0.68  % (7884)------------------------------
% 2.10/0.68  % (7884)------------------------------
% 2.10/0.68  % (7868)Success in time 0.319 s
%------------------------------------------------------------------------------