TSTP Solution File: SWV911-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV911-1 : 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 : n014.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 19:02:00 EDT 2022

% Result   : Unsatisfiable 1.41s 0.61s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  12   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-4 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f577,plain,
    $false,
    inference(subsumption_resolution,[],[f576,f574]) ).

fof(f574,plain,
    ~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    inference(resolution,[],[f572,f568]) ).

fof(f568,plain,
    ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
    inference(resolution,[],[f531,f528]) ).

fof(f528,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f531,axiom,
    ! [X76,X64] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
      | ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X64,X76))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f572,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q)))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa)) ),
    inference(resolution,[],[f533,f528]) ).

fof(f533,axiom,
    ! [X71,X76,X64] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
      | hBOOL(hAPP(hAPP(X76,X71),v_xb(X64,X76)))
      | ~ hBOOL(hAPP(hAPP(X64,X71),v_xa)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f576,plain,
    hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
    inference(resolution,[],[f575,f530]) ).

fof(f530,axiom,
    ( hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa))
    | hBOOL(hAPP(hAPP(v_P,v_x),v_xa)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f575,plain,
    ~ hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
    inference(resolution,[],[f573,f571]) ).

fof(f571,plain,
    ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
    inference(resolution,[],[f532,f529]) ).

fof(f529,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f532,axiom,
    ! [X76,X64] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X64,v_c,X76,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
      | ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X64,X76))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f573,plain,
    ! [X1] :
      ( hBOOL(hAPP(hAPP(v_Q_H,X1),v_xb(v_P_H,v_Q_H)))
      | ~ hBOOL(hAPP(hAPP(v_P_H,X1),v_xa)) ),
    inference(resolution,[],[f533,f529]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV911-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 20:06:03 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.18/0.51  % (32517)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)
% 0.18/0.52  % (32513)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.28/0.54  % (32525)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.28/0.54  % (32502)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)
% 1.28/0.54  % (32504)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)
% 1.28/0.55  % (32503)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)
% 1.28/0.55  % (32506)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)
% 1.28/0.55  % (32516)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)
% 1.28/0.55  % (32523)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)
% 1.28/0.55  % (32505)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.55  % (32515)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)
% 1.41/0.55  % (32530)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)
% 1.41/0.55  % (32509)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.41/0.55  % (32509)Instruction limit reached!
% 1.41/0.55  % (32509)------------------------------
% 1.41/0.55  % (32509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55  % (32509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55  % (32509)Termination reason: Unknown
% 1.41/0.55  % (32509)Termination phase: Function definition elimination
% 1.41/0.55  
% 1.41/0.55  % (32509)Memory used [KB]: 1407
% 1.41/0.55  % (32509)Time elapsed: 0.003 s
% 1.41/0.55  % (32509)Instructions burned: 3 (million)
% 1.41/0.55  % (32509)------------------------------
% 1.41/0.55  % (32509)------------------------------
% 1.41/0.56  % (32501)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)
% 1.41/0.56  % (32514)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.41/0.56  % (32521)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)
% 1.41/0.56  % (32520)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)
% 1.41/0.56  % (32519)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.56  % (32518)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.56  % (32512)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)
% 1.41/0.56  % (32524)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)
% 1.41/0.56  % (32526)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.41/0.56  % (32508)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.57  % (32508)Instruction limit reached!
% 1.41/0.57  % (32508)------------------------------
% 1.41/0.57  % (32508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.57  % (32508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.57  % (32508)Termination reason: Unknown
% 1.41/0.57  % (32508)Termination phase: Property scanning
% 1.41/0.57  
% 1.41/0.57  % (32508)Memory used [KB]: 1407
% 1.41/0.57  % (32508)Time elapsed: 0.004 s
% 1.41/0.57  % (32508)Instructions burned: 8 (million)
% 1.41/0.57  % (32508)------------------------------
% 1.41/0.57  % (32508)------------------------------
% 1.41/0.57  % (32527)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)
% 1.41/0.57  % (32510)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)
% 1.41/0.57  % (32529)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.41/0.57  % (32528)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)
% 1.41/0.58  % (32507)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)
% 1.41/0.58  % (32522)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.41/0.58  % (32523)First to succeed.
% 1.41/0.59  % (32511)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.61  % (32523)Refutation found. Thanks to Tanya!
% 1.41/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.41/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.61  % (32523)------------------------------
% 1.41/0.61  % (32523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.61  % (32523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.61  % (32523)Termination reason: Refutation
% 1.41/0.61  
% 1.41/0.61  % (32523)Memory used [KB]: 1535
% 1.41/0.61  % (32523)Time elapsed: 0.122 s
% 1.41/0.61  % (32523)Instructions burned: 28 (million)
% 1.41/0.61  % (32523)------------------------------
% 1.41/0.61  % (32523)------------------------------
% 1.41/0.61  % (32500)Success in time 0.262 s
%------------------------------------------------------------------------------