TSTP Solution File: SWV858-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV858-1 : 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 : n001.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 2.07s 0.64s
% Output   : Refutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  11   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f856,plain,
    $false,
    inference(subsumption_resolution,[],[f855,f552]) ).

fof(f552,axiom,
    ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f855,plain,
    c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
    inference(resolution,[],[f852,f830]) ).

fof(f830,plain,
    ! [X1] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a)
      | c_Hoare__Mirabelle_Otriple__valid(X1,v_xa,t_a) ),
    inference(resolution,[],[f824,f555]) ).

fof(f555,axiom,
    ! [X51,X46] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X51),v_ts_H))
      | ~ c_Hoare__Mirabelle_Otriple__valid(X46,v_n(X46),t_a)
      | c_Hoare__Mirabelle_Otriple__valid(X46,X51,t_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f824,plain,
    ! [X0] : hBOOL(hAPP(hAPP(c_in(X0),v_xa),v_ts_H)),
    inference(resolution,[],[f808,f545]) ).

fof(f545,axiom,
    ! [X31,X2,X11] :
      ( ~ hBOOL(hAPP(X31,X11))
      | hBOOL(hAPP(hAPP(c_in(X2),X11),X31)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f808,plain,
    hBOOL(hAPP(v_ts_H,v_xa)),
    inference(resolution,[],[f803,f793]) ).

fof(f793,plain,
    hBOOL(hAPP(v_tsa,v_xa)),
    inference(resolution,[],[f546,f551]) ).

fof(f551,axiom,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f546,axiom,
    ! [X2,X31,X11] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X2),X11),X31))
      | hBOOL(hAPP(X31,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f803,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(v_tsa,X0))
      | hBOOL(hAPP(v_ts_H,X0)) ),
    inference(resolution,[],[f528,f550]) ).

fof(f550,axiom,
    c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f528,axiom,
    ! [X2,X11,X22,X23] :
      ( ~ c_lessequals(X22,X23,tc_fun(X2,tc_bool))
      | ~ hBOOL(hAPP(X22,X11))
      | hBOOL(hAPP(X23,X11)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).

fof(f852,plain,
    c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(v_x),t_a),
    inference(resolution,[],[f847,f553]) ).

fof(f553,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f847,plain,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_x)),v_Ga)),
    inference(resolution,[],[f829,f552]) ).

fof(f829,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a)
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga)) ),
    inference(resolution,[],[f824,f554]) ).

fof(f554,axiom,
    ! [X46,X47] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X47),v_ts_H))
      | c_Hoare__Mirabelle_Otriple__valid(X46,X47,t_a)
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X46)),v_Ga)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWV858-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.11  % 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 : n001.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 20:23:32 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.14/0.48  % (28349)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)
% 0.14/0.48  % (28340)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)
% 0.14/0.48  % (28341)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.48  % (28348)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)
% 0.14/0.50  % (28357)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)
% 0.14/0.50  % (28358)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.50  % (28356)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)
% 0.14/0.50  % (28341)Instruction limit reached!
% 0.14/0.50  % (28341)------------------------------
% 0.14/0.50  % (28341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.50  % (28341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50  % (28341)Termination reason: Unknown
% 0.14/0.50  % (28341)Termination phase: Saturation
% 0.14/0.50  
% 0.14/0.50  % (28341)Memory used [KB]: 6012
% 0.14/0.50  % (28341)Time elapsed: 0.006 s
% 0.14/0.50  % (28341)Instructions burned: 7 (million)
% 0.14/0.50  % (28341)------------------------------
% 0.14/0.50  % (28341)------------------------------
% 0.14/0.50  % (28342)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.50  % (28350)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)
% 0.14/0.50  % (28342)Instruction limit reached!
% 0.14/0.50  % (28342)------------------------------
% 0.14/0.50  % (28342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.51  % (28342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.51  % (28342)Termination reason: Unknown
% 0.14/0.51  % (28342)Termination phase: Blocked clause elimination
% 0.14/0.51  
% 0.14/0.51  % (28342)Memory used [KB]: 1535
% 0.14/0.51  % (28342)Time elapsed: 0.006 s
% 0.14/0.51  % (28342)Instructions burned: 3 (million)
% 0.14/0.51  % (28342)------------------------------
% 0.14/0.51  % (28342)------------------------------
% 0.14/0.53  % (28337)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)
% 0.14/0.53  % (28338)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.53  % (28336)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)
% 0.14/0.54  % (28352)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.54  % (28345)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)
% 0.14/0.54  % (28346)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.54  % (28339)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)
% 0.14/0.55  % (28353)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)
% 0.14/0.55  % (28344)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.55  % (28362)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.55  % (28340)Instruction limit reached!
% 0.14/0.55  % (28340)------------------------------
% 0.14/0.55  % (28340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.55  % (28355)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.56  % (28363)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)
% 0.14/0.56  % (28340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.56  % (28340)Termination reason: Unknown
% 0.14/0.56  % (28340)Termination phase: Finite model building preprocessing
% 0.14/0.56  
% 0.14/0.56  % (28340)Memory used [KB]: 2558
% 0.14/0.56  % (28340)Time elapsed: 0.030 s
% 0.14/0.56  % (28340)Instructions burned: 52 (million)
% 0.14/0.56  % (28340)------------------------------
% 0.14/0.56  % (28340)------------------------------
% 0.14/0.56  % (28361)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)
% 0.14/0.56  % (28360)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)
% 0.14/0.56  % (28347)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.57  % (28354)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)
% 1.92/0.60  % (28359)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.92/0.60  % (28343)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)
% 1.92/0.60  % (28351)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.07/0.62  % (28336)Instruction limit reached!
% 2.07/0.62  % (28336)------------------------------
% 2.07/0.62  % (28336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.62  % (28336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.62  % (28336)Termination reason: Unknown
% 2.07/0.62  % (28336)Termination phase: Saturation
% 2.07/0.62  
% 2.07/0.62  % (28336)Memory used [KB]: 1791
% 2.07/0.62  % (28336)Time elapsed: 0.216 s
% 2.07/0.62  % (28336)Instructions burned: 37 (million)
% 2.07/0.62  % (28336)------------------------------
% 2.07/0.62  % (28336)------------------------------
% 2.07/0.62  % (28349)Instruction limit reached!
% 2.07/0.62  % (28349)------------------------------
% 2.07/0.62  % (28349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.62  % (28349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.62  % (28349)Termination reason: Unknown
% 2.07/0.62  % (28349)Termination phase: Saturation
% 2.07/0.62  
% 2.07/0.62  % (28349)Memory used [KB]: 2430
% 2.07/0.62  % (28349)Time elapsed: 0.227 s
% 2.07/0.62  % (28349)Instructions burned: 76 (million)
% 2.07/0.62  % (28349)------------------------------
% 2.07/0.62  % (28349)------------------------------
% 2.07/0.62  % (28335)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)
% 2.07/0.62  % (28338)Instruction limit reached!
% 2.07/0.62  % (28338)------------------------------
% 2.07/0.62  % (28338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.62  % (28338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.62  % (28338)Termination reason: Unknown
% 2.07/0.62  % (28338)Termination phase: Saturation
% 2.07/0.62  
% 2.07/0.62  % (28338)Memory used [KB]: 6396
% 2.07/0.62  % (28338)Time elapsed: 0.034 s
% 2.07/0.62  % (28338)Instructions burned: 52 (million)
% 2.07/0.62  % (28338)------------------------------
% 2.07/0.62  % (28338)------------------------------
% 2.07/0.63  % (28357)First to succeed.
% 2.07/0.63  % (28348)Instruction limit reached!
% 2.07/0.63  % (28348)------------------------------
% 2.07/0.63  % (28348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.63  % (28348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.63  % (28348)Termination reason: Unknown
% 2.07/0.63  % (28348)Termination phase: Saturation
% 2.07/0.63  
% 2.07/0.63  % (28348)Memory used [KB]: 7547
% 2.07/0.63  % (28348)Time elapsed: 0.074 s
% 2.07/0.63  % (28348)Instructions burned: 68 (million)
% 2.07/0.63  % (28348)------------------------------
% 2.07/0.63  % (28348)------------------------------
% 2.07/0.64  % (28357)Refutation found. Thanks to Tanya!
% 2.07/0.64  % SZS status Unsatisfiable for theBenchmark
% 2.07/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.64  % (28357)------------------------------
% 2.07/0.64  % (28357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64  % (28357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64  % (28357)Termination reason: Refutation
% 2.07/0.64  
% 2.07/0.64  % (28357)Memory used [KB]: 6780
% 2.07/0.64  % (28357)Time elapsed: 0.221 s
% 2.07/0.64  % (28357)Instructions burned: 77 (million)
% 2.07/0.64  % (28357)------------------------------
% 2.07/0.64  % (28357)------------------------------
% 2.07/0.64  % (28333)Success in time 0.321 s
%------------------------------------------------------------------------------