TSTP Solution File: SWV949-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV949-1 : 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 : n022.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 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   27 (  19 unt;   0 def)
%            Number of atoms       :   35 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   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    :   24 (  24 usr;  16 con; 0-4 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f587,plain,
    $false,
    inference(resolution,[],[f584,f473]) ).

fof(f473,plain,
    hBOOL(sF6(v_T____)),
    inference(superposition,[],[f472,f386]) ).

fof(f386,plain,
    ! [X50] : hAPP(sF5(X50),v_T____) = sF6(X50),
    introduced(function_definition,[]) ).

fof(f472,plain,
    ! [X0] : hBOOL(hAPP(sF5(X0),X0)),
    inference(forward_demodulation,[],[f471,f385]) ).

fof(f385,plain,
    ! [X50] : sF5(X50) = hAPP(sF4,X50),
    introduced(function_definition,[]) ).

fof(f471,plain,
    ! [X0] : hBOOL(hAPP(hAPP(sF4,X0),X0)),
    inference(superposition,[],[f345,f384]) ).

fof(f384,plain,
    sF4 = c_TypeRel_Owiden(v_P,sF3),
    introduced(function_definition,[]) ).

fof(f345,axiom,
    ! [X3,X57,X15] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X15,X3),X57),X57)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__refl_0) ).

fof(f584,plain,
    ! [X0] : ~ hBOOL(sF6(X0)),
    inference(resolution,[],[f583,f388]) ).

fof(f388,plain,
    ! [X50] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,sF7,X50)
      | ~ hBOOL(sF6(X50)) ),
    inference(definition_folding,[],[f368,f387,f380,f386,f385,f384,f383,f382,f380,f381,f380]) ).

fof(f381,plain,
    sF1 = tc_List_Olist(sF0),
    introduced(function_definition,[]) ).

fof(f382,plain,
    sF2 = tc_Expr_Oexp(sF0),
    introduced(function_definition,[]) ).

fof(f383,plain,
    tc_prod(sF1,sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f380,plain,
    tc_List_Olist(tc_String_Ochar) = sF0,
    introduced(function_definition,[]) ).

fof(f387,plain,
    sF7 = c_Expr_Oexp_OFAcc(v_e_Ha____,v_F____,v_D____,sF0),
    introduced(function_definition,[]) ).

fof(f368,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f583,plain,
    ! [X0] : c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,sF7,X0),
    inference(resolution,[],[f580,f335]) ).

fof(f335,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/sandbox/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).

fof(f580,plain,
    ! [X0] : c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,sF7,X0),
    inference(resolution,[],[f579,f516]) ).

fof(f516,plain,
    c_Progress_OWTrt_H(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    inference(resolution,[],[f334,f325]) ).

fof(f325,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,v_U____),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wte_H_0) ).

fof(f334,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/sandbox/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).

fof(f579,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Progress_OWTrt_H(X0,X1,X2,v_e_Ha____,v_U____)
      | c_Progress_OWTrt_H(X0,X1,X2,sF7,X3) ),
    inference(superposition,[],[f391,f387]) ).

fof(f391,plain,
    ! [X51,X57,X16,X62,X15,X60,X61] :
      ( c_Progress_OWTrt_H(X15,X60,X51,c_Expr_Oexp_OFAcc(X16,X61,X62,sF0),X57)
      | ~ c_Progress_OWTrt_H(X15,X60,X51,X16,v_U____) ),
    inference(forward_demodulation,[],[f375,f380]) ).

fof(f375,plain,
    ! [X51,X57,X16,X62,X15,X60,X61] :
      ( ~ c_Progress_OWTrt_H(X15,X60,X51,X16,v_U____)
      | c_Progress_OWTrt_H(X15,X60,X51,c_Expr_Oexp_OFAcc(X16,X61,X62,tc_List_Olist(tc_String_Ochar)),X57) ),
    inference(definition_unfolding,[],[f83,f367]) ).

fof(f367,axiom,
    c_Type_Oty_ONT = v_U____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

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/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I9_J_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV949-1 : 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
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 20:10:56 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (21300)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)
% 0.19/0.50  % (21289)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)
% 0.19/0.50  % (21292)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)
% 0.19/0.51  % (21305)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)
% 0.19/0.51  % (21284)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)
% 0.19/0.52  % (21297)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)
% 0.19/0.52  % (21291)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54  % (21281)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)
% 0.19/0.54  % (21279)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)
% 0.19/0.54  % (21278)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)
% 0.19/0.54  % (21283)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)
% 0.19/0.54  % (21303)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (21282)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (21302)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54  % (21280)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)
% 0.19/0.54  % (21290)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55  % (21293)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)
% 0.19/0.55  % (21304)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)
% 0.19/0.55  % (21289)First to succeed.
% 0.19/0.55  % (21294)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)
% 0.19/0.55  % (21292)Also succeeded, but the first one will report.
% 0.19/0.55  % (21289)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (21289)------------------------------
% 0.19/0.55  % (21289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (21289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (21289)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (21289)Memory used [KB]: 6140
% 0.19/0.55  % (21289)Time elapsed: 0.141 s
% 0.19/0.55  % (21289)Instructions burned: 25 (million)
% 0.19/0.55  % (21289)------------------------------
% 0.19/0.55  % (21289)------------------------------
% 0.19/0.55  % (21277)Success in time 0.202 s
%------------------------------------------------------------------------------