TSTP Solution File: COL002-1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : COL002-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n025.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 04:51:43 EDT 2024

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f258,plain,
    $false,
    inference(equality_resolution,[],[f137]) ).

fof(f137,plain,
    ! [X0] : apply(X0,X0) != apply(apply(apply(s,apply(b,fixed_pt)),i),X0),
    inference(superposition,[],[f5,f83]) ).

fof(f83,plain,
    ! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(apply(s,apply(b,X0)),i),X1),
    inference(superposition,[],[f12,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f12,plain,
    ! [X0,X1] : apply(apply(apply(s,X1),i),X0) = apply(apply(X1,X0),X0),
    inference(superposition,[],[f1,f4]) ).

fof(f4,axiom,
    ! [X0] : apply(i,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f1,axiom,
    ! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f5,axiom,
    ! [X1] : apply(fixed_pt,X1) != X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COL002-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.12  % Command    : run_vampire %s %d SAT
% 0.11/0.33  % Computer : n025.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 Jun 18 16:17:24 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.19/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.19/0.35  Running first-order model finding
% 0.19/0.35  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.40  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.40  % (29613)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)
% 0.19/0.41  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (29609)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.19/0.41  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (29608)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)
% 0.19/0.41  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (29611)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.19/0.41  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (29612)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)
% 0.19/0.41  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41  % (29610)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)
% 0.19/0.41  TRYING [1]
% 0.19/0.41  TRYING [2]
% 0.19/0.41  TRYING [3]
% 0.21/0.42  TRYING [4]
% 0.21/0.42  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (29607)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.44  TRYING [10]
% 0.21/0.46  TRYING [5]
% 0.21/0.46  % (29613)Instruction limit reached!
% 0.21/0.46  % (29613)------------------------------
% 0.21/0.46  % (29613)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.46  % (29613)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.46  % (29613)Termination reason: Time limit
% 0.21/0.46  % (29613)Termination phase: Saturation
% 0.21/0.46  
% 0.21/0.46  % (29613)Memory used [KB]: 1696
% 0.21/0.46  % (29613)Time elapsed: 0.059 s
% 0.21/0.46  % (29613)Instructions burned: 116 (million)
% 0.21/0.46  % (29611)Instruction limit reached!
% 0.21/0.46  % (29611)------------------------------
% 0.21/0.46  % (29611)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.46  % (29611)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.46  % (29611)Termination reason: Time limit
% 0.21/0.46  % (29611)Termination phase: Saturation
% 0.21/0.46  
% 0.21/0.46  % (29611)Memory used [KB]: 1836
% 0.21/0.46  % (29611)Time elapsed: 0.055 s
% 0.21/0.46  % (29611)Instructions burned: 106 (million)
% 0.21/0.48  % (29612)Instruction limit reached!
% 0.21/0.48  % (29612)------------------------------
% 0.21/0.48  % (29612)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48  % (29612)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48  % (29612)Termination reason: Time limit
% 0.21/0.48  % (29612)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (29612)Memory used [KB]: 2167
% 0.21/0.48  % (29612)Time elapsed: 0.076 s
% 0.21/0.48  % (29612)Instructions burned: 148 (million)
% 0.21/0.50  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.50  % (29615)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.52  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (29616)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)
% 0.21/0.52  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52  % (29614)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)
% 0.21/0.53  TRYING [6]
% 0.21/0.54  % (29614)First to succeed.
% 0.21/0.54  % (29614)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29606"
% 0.21/0.54  % (29606)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.54  % (29614)Refutation found. Thanks to Tanya!
% 0.21/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54  % (29614)------------------------------
% 0.21/0.54  % (29614)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.54  % (29614)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.54  % (29614)Termination reason: Refutation
% 0.21/0.54  
% 0.21/0.54  % (29614)Memory used [KB]: 905
% 0.21/0.54  % (29614)Time elapsed: 0.015 s
% 0.21/0.54  % (29614)Instructions burned: 23 (million)
% 0.21/0.54  % (29614)------------------------------
% 0.21/0.54  % (29614)------------------------------
% 0.21/0.54  % (29606)Success in time 0.185 s
%------------------------------------------------------------------------------