TSTP Solution File: SWV857-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV857-1 : 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 19:01:51 EDT 2022

% Result   : Unsatisfiable 1.72s 0.62s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   20 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f949,plain,
    $false,
    inference(subsumption_resolution,[],[f941,f547]) ).

fof(f547,axiom,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f941,plain,
    c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    inference(resolution,[],[f894,f548]) ).

fof(f548,axiom,
    ! [X50] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X50),v_Ga))
      | c_Hoare__Mirabelle_Otriple__valid(v_x,X50,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f894,plain,
    ! [X4] : hBOOL(hAPP(hAPP(c_in(X4),v_xa),v_Ga)),
    inference(resolution,[],[f874,f542]) ).

fof(f542,axiom,
    ! [X2,X28,X11] :
      ( ~ hBOOL(hAPP(X28,X11))
      | hBOOL(hAPP(hAPP(c_in(X2),X11),X28)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f874,plain,
    hBOOL(hAPP(v_Ga,v_xa)),
    inference(superposition,[],[f793,f869]) ).

fof(f869,plain,
    v_Ga = c_Lattices_Oupper__semilattice__class_Osup(v_Ga,v_tsa,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    inference(resolution,[],[f446,f545]) ).

fof(f545,axiom,
    c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f446,axiom,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X1,X0,tc_fun(X2,tc_bool))
      | c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).

fof(f793,plain,
    ! [X62,X63] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X62,v_tsa,tc_fun(X63,tc_bool)),v_xa)),
    inference(resolution,[],[f214,f770]) ).

fof(f770,plain,
    hBOOL(hAPP(v_tsa,v_xa)),
    inference(resolution,[],[f543,f546]) ).

fof(f546,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f543,axiom,
    ! [X2,X28,X11] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X2),X11),X28))
      | hBOOL(hAPP(X28,X11)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f214,axiom,
    ! [X2,X0,X11,X1] :
      ( ~ hBOOL(hAPP(X1,X11))
      | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X11)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWV857-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n003.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 20:02:37 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.17/0.50  % (24593)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)
% 0.17/0.50  % (24580)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)
% 0.17/0.51  % (24591)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.51  % (24586)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.51  % (24605)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)
% 0.17/0.51  % (24585)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.52  % (24597)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)
% 0.17/0.52  % (24586)Instruction limit reached!
% 0.17/0.52  % (24586)------------------------------
% 0.17/0.52  % (24586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52  % (24586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52  % (24586)Termination reason: Unknown
% 0.17/0.52  % (24586)Termination phase: shuffling
% 0.17/0.52  
% 0.17/0.52  % (24586)Memory used [KB]: 1279
% 0.17/0.52  % (24586)Time elapsed: 0.003 s
% 0.17/0.52  % (24586)Instructions burned: 2 (million)
% 0.17/0.52  % (24586)------------------------------
% 0.17/0.52  % (24586)------------------------------
% 0.17/0.52  % (24589)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)
% 0.17/0.52  % (24601)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)
% 0.17/0.52  % (24602)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.52  % (24594)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)
% 0.17/0.52  % (24599)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.53  % (24585)Instruction limit reached!
% 0.17/0.53  % (24585)------------------------------
% 0.17/0.53  % (24585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54  % (24585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54  % (24585)Termination reason: Unknown
% 0.17/0.54  % (24585)Termination phase: Saturation
% 0.17/0.54  
% 0.17/0.54  % (24585)Memory used [KB]: 5884
% 0.17/0.54  % (24585)Time elapsed: 0.008 s
% 0.17/0.54  % (24585)Instructions burned: 8 (million)
% 0.17/0.54  % (24585)------------------------------
% 0.17/0.54  % (24585)------------------------------
% 0.17/0.56  % (24590)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.56  % (24592)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)
% 1.54/0.57  % (24583)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)
% 1.54/0.57  % (24579)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)
% 1.54/0.57  % (24584)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)
% 1.54/0.57  % (24607)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)
% 1.54/0.58  % (24600)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)
% 1.54/0.58  % (24598)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)
% 1.54/0.58  % (24580)Instruction limit reached!
% 1.54/0.58  % (24580)------------------------------
% 1.54/0.58  % (24580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58  % (24580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58  % (24580)Termination reason: Unknown
% 1.54/0.58  % (24580)Termination phase: Saturation
% 1.54/0.58  
% 1.54/0.58  % (24580)Memory used [KB]: 1791
% 1.54/0.58  % (24580)Time elapsed: 0.170 s
% 1.54/0.58  % (24580)Instructions burned: 37 (million)
% 1.54/0.58  % (24580)------------------------------
% 1.54/0.58  % (24580)------------------------------
% 1.72/0.62  % (24603)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.72/0.62  % (24597)First to succeed.
% 1.72/0.62  % (24597)Refutation found. Thanks to Tanya!
% 1.72/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.72/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.62  % (24597)------------------------------
% 1.72/0.62  % (24597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.62  % (24597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.62  % (24597)Termination reason: Refutation
% 1.72/0.62  
% 1.72/0.62  % (24597)Memory used [KB]: 2046
% 1.72/0.62  % (24597)Time elapsed: 0.212 s
% 1.72/0.62  % (24597)Instructions burned: 49 (million)
% 1.72/0.62  % (24597)------------------------------
% 1.72/0.62  % (24597)------------------------------
% 1.72/0.62  % (24577)Success in time 0.287 s
%------------------------------------------------------------------------------