TSTP Solution File: SWW314+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW314+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n002.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 : Mon Jun 24 18:50:28 EDT 2024

% Result   : Theorem 30.94s 5.07s
% Output   : Refutation 30.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  10 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  11   ~;   7   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29112,plain,
    $false,
    inference(subsumption_resolution,[],[f29110,f14500]) ).

fof(f14500,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(cnf_transformation,[],[f5226]) ).

fof(f5226,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f29110,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(resolution,[],[f28826,f14497]) ).

fof(f14497,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(cnf_transformation,[],[f5233]) ).

fof(f5233,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(flattening,[],[f5232]) ).

fof(f5232,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(negated_conjecture,[],[f5231]) ).

fof(f5231,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f28826,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X0)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,X0) ),
    inference(resolution,[],[f19690,f14499]) ).

fof(f14499,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    inference(cnf_transformation,[],[f5230]) ).

fof(f5230,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f19690,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
      | c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ),
    inference(cnf_transformation,[],[f13169]) ).

fof(f13169,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(flattening,[],[f13168]) ).

fof(f13168,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
    inference(ennf_transformation,[],[f8850]) ).

fof(f8850,plain,
    ! [X0,X1,X2,X3] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
       => c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X3,X4,X7,X5] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X7,X4)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X7)
       => c_Hoare__Mirabelle_Ohoare__derivs(X5,X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWW314+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.12  % Command    : run_vampire %s %d SAT
% 0.11/0.33  % Computer : n002.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   : Wed Jun 19 07:27:39 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.35  Running first-order model finding
% 0.11/0.35  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.69  % (17849)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.69  % (17851)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.48/0.70  % (17849)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.70  % (17855)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.48/0.71  % (17849)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.71  % (17854)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.48/0.71  % (17849)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.71  % (17856)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.48/0.71  % (17849)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.71  % (17852)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.48/0.71  % (17849)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.71  % (17853)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.48/0.72  % (17849)Running in auto input_syntax mode. Trying TPTP
% 0.48/0.72  % (17857)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.48/0.76  % (17855)Instruction limit reached!
% 0.48/0.76  % (17855)------------------------------
% 0.48/0.76  % (17855)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.48/0.76  % (17855)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.48/0.76  % (17855)Termination reason: Time limit
% 0.48/0.76  % (17855)Termination phase: NewCNF
% 0.48/0.76  
% 0.48/0.76  % (17855)Memory used [KB]: 11709
% 0.48/0.76  % (17855)Time elapsed: 0.058 s
% 0.48/0.76  % (17855)Instructions burned: 104 (million)
% 0.58/0.78  % (17857)Instruction limit reached!
% 0.58/0.78  % (17857)------------------------------
% 0.58/0.78  % (17857)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.58/0.78  % (17857)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.58/0.78  % (17857)Termination reason: Time limit
% 0.58/0.78  % (17857)Termination phase: NewCNF
% 0.58/0.78  
% 0.58/0.78  % (17857)Memory used [KB]: 12277
% 0.58/0.78  % (17857)Time elapsed: 0.066 s
% 0.58/0.78  % (17857)Instructions burned: 115 (million)
% 0.58/0.78  % (17856)Instruction limit reached!
% 0.58/0.78  % (17856)------------------------------
% 0.58/0.78  % (17856)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.58/0.78  % (17856)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.58/0.78  % (17856)Termination reason: Time limit
% 0.58/0.78  % (17856)Termination phase: Preprocessing 3
% 0.58/0.78  
% 0.58/0.78  % (17856)Memory used [KB]: 11952
% 0.58/0.78  % (17856)Time elapsed: 0.078 s
% 0.58/0.78  % (17856)Instructions burned: 146 (million)
% 0.84/0.83  % (17849)Running in auto input_syntax mode. Trying TPTP
% 0.84/0.83  % (17858)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.84/0.83  % (17849)Running in auto input_syntax mode. Trying TPTP
% 0.84/0.83  % (17860)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 0.84/0.83  % (17849)Running in auto input_syntax mode. Trying TPTP
% 0.84/0.83  % (17859)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.84/0.92  % (17859)Instruction limit reached!
% 0.84/0.92  % (17859)------------------------------
% 0.84/0.92  % (17859)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.84/0.92  % (17859)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.84/0.92  % (17859)Termination reason: Time limit
% 0.84/0.92  % (17859)Termination phase: Preprocessing 3
% 0.84/0.92  
% 0.84/0.92  % (17859)Memory used [KB]: 12668
% 0.84/0.92  % (17859)Time elapsed: 0.088 s
% 0.84/0.92  % (17859)Instructions burned: 175 (million)
% 0.98/0.94  % (17860)Instruction limit reached!
% 0.98/0.94  % (17860)------------------------------
% 0.98/0.94  % (17860)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.98/0.94  % (17860)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.98/0.94  % (17860)Termination reason: Time limit
% 0.98/0.94  % (17860)Termination phase: Property scanning
% 0.98/0.94  
% 0.98/0.94  % (17860)Memory used [KB]: 14542
% 0.98/0.94  % (17860)Time elapsed: 0.114 s
% 0.98/0.94  % (17860)Instructions burned: 272 (million)
% 1.13/0.98  % (17849)Running in auto input_syntax mode. Trying TPTP
% 1.13/0.98  % (17861)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.13/1.02  % (17858)Instruction limit reached!
% 1.13/1.02  % (17858)------------------------------
% 1.13/1.02  % (17858)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.13/1.02  % (17858)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.13/1.02  % (17858)Termination reason: Time limit
% 1.13/1.02  % (17858)Termination phase: Property scanning
% 1.13/1.02  
% 1.13/1.02  % (17858)Memory used [KB]: 14914
% 1.13/1.02  % (17858)Time elapsed: 0.196 s
% 1.13/1.02  % (17858)Instructions burned: 404 (million)
% 1.13/1.02  % (17849)Running in auto input_syntax mode. Trying TPTP
% 1.13/1.02  % (17862)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2996ds/7859Mi)
% 3.34/1.09  % (17849)Running in auto input_syntax mode. Trying TPTP
% 3.34/1.09  % (17863)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 5.31/1.40  % (17861)Instruction limit reached!
% 5.31/1.40  % (17861)------------------------------
% 5.31/1.40  % (17861)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.31/1.40  % (17861)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.31/1.40  % (17861)Termination reason: Time limit
% 5.31/1.40  % (17861)Termination phase: Saturation
% 5.31/1.40  
% 5.31/1.40  % (17861)Memory used [KB]: 17098
% 5.31/1.40  % (17861)Time elapsed: 0.429 s
% 5.31/1.40  % (17861)Instructions burned: 900 (million)
% 5.80/1.46  % (17849)Running in auto input_syntax mode. Trying TPTP
% 5.80/1.46  % (17867)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2992ds/1187Mi)
% 9.67/2.03  % (17867)Instruction limit reached!
% 9.67/2.03  % (17867)------------------------------
% 9.67/2.03  % (17867)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.67/2.03  % (17867)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.67/2.03  % (17867)Termination reason: Time limit
% 9.67/2.03  % (17867)Termination phase: Saturation
% 9.67/2.03  
% 9.67/2.03  % (17867)Memory used [KB]: 21344
% 9.67/2.03  % (17867)Time elapsed: 0.564 s
% 9.67/2.03  % (17867)Instructions burned: 1189 (million)
% 10.13/2.06  % (17849)Running in auto input_syntax mode. Trying TPTP
% 10.13/2.06  % (17868)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2986ds/23580Mi)
% 10.22/2.08  % (17863)Instruction limit reached!
% 10.22/2.08  % (17863)------------------------------
% 10.22/2.08  % (17863)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.22/2.08  % (17863)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.22/2.08  % (17863)Termination reason: Time limit
% 10.22/2.08  % (17863)Termination phase: Saturation
% 10.22/2.08  
% 10.22/2.08  % (17863)Memory used [KB]: 31135
% 10.22/2.08  % (17863)Time elapsed: 0.999 s
% 10.22/2.08  % (17863)Instructions burned: 2146 (million)
% 10.48/2.15  % (17849)Running in auto input_syntax mode. Trying TPTP
% 10.48/2.15  % (17869)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2985ds/2892Mi)
% 19.27/3.39  % (17869)Instruction limit reached!
% 19.27/3.39  % (17869)------------------------------
% 19.27/3.39  % (17869)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.27/3.39  % (17869)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.27/3.39  % (17869)Termination reason: Time limit
% 19.27/3.39  % (17869)Termination phase: Finite model building preprocessing
% 19.27/3.39  
% 19.27/3.39  % (17869)Memory used [KB]: 31196
% 19.27/3.39  % (17869)Time elapsed: 1.240 s
% 19.27/3.39  % (17869)Instructions burned: 2893 (million)
% 19.67/3.44  % (17849)Running in auto input_syntax mode. Trying TPTP
% 19.67/3.44  % (17872)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2972ds/1693Mi)
% 24.94/4.20  % (17872)Instruction limit reached!
% 24.94/4.20  % (17872)------------------------------
% 24.94/4.20  % (17872)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 24.94/4.20  % (17872)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 24.94/4.20  % (17872)Termination reason: Time limit
% 24.94/4.20  % (17872)Termination phase: Saturation
% 24.94/4.20  
% 24.94/4.20  % (17872)Memory used [KB]: 24770
% 24.94/4.20  % (17872)Time elapsed: 0.763 s
% 24.94/4.20  % (17872)Instructions burned: 1694 (million)
% 25.37/4.23  % (17862)Instruction limit reached!
% 25.37/4.23  % (17862)------------------------------
% 25.37/4.23  % (17862)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 25.37/4.23  % (17862)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 25.37/4.23  % (17862)Termination reason: Time limit
% 25.37/4.23  % (17862)Termination phase: Finite model building preprocessing
% 25.37/4.23  
% 25.37/4.23  % (17862)Memory used [KB]: 85553
% 25.37/4.23  % (17862)Time elapsed: 3.206 s
% 25.37/4.23  % (17862)Instructions burned: 7860 (million)
% 25.56/4.27  % (17849)Running in auto input_syntax mode. Trying TPTP
% 25.56/4.27  % (17873)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2964ds/1735Mi)
% 25.56/4.31  % (17849)Running in auto input_syntax mode. Trying TPTP
% 25.56/4.31  % (17874)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2964ds/131798Mi)
% 30.94/5.06  % (17873)First to succeed.
% 30.94/5.06  % (17873)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17849"
% 30.94/5.07  % (17849)Running in auto input_syntax mode. Trying TPTP
% 30.94/5.07  % (17873)Refutation found. Thanks to Tanya!
% 30.94/5.07  % SZS status Theorem for theBenchmark
% 30.94/5.07  % SZS output start Proof for theBenchmark
% See solution above
% 30.94/5.07  % (17873)------------------------------
% 30.94/5.07  % (17873)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 30.94/5.07  % (17873)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 30.94/5.07  % (17873)Termination reason: Refutation
% 30.94/5.07  
% 30.94/5.07  % (17873)Memory used [KB]: 32842
% 30.94/5.07  % (17873)Time elapsed: 0.799 s
% 30.94/5.07  % (17873)Instructions burned: 1558 (million)
% 30.94/5.07  % (17873)------------------------------
% 30.94/5.07  % (17873)------------------------------
% 30.94/5.07  % (17849)Success in time 4.418 s
%------------------------------------------------------------------------------