TSTP Solution File: COL001-1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : COL001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n007.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 04:50:47 EDT 2024

% Result   : Unsatisfiable 0.23s 0.58s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1483,plain,
    $false,
    inference(equality_resolution,[],[f1255]) ).

fof(f1255,plain,
    ! [X0,X1] : apply(X1,X1) != apply(apply(apply(s,apply(s,apply(k,combinator))),apply(apply(s,k),X0)),X1),
    inference(superposition,[],[f1223,f11]) ).

fof(f11,plain,
    ! [X0,X1] : apply(apply(apply(s,k),X1),X0) = X0,
    inference(superposition,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : apply(apply(k,X0),X1) = 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(f1223,plain,
    ! [X0,X1] : apply(X0,apply(X1,X0)) != apply(apply(apply(s,apply(s,apply(k,combinator))),X1),X0),
    inference(superposition,[],[f3,f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] : apply(apply(apply(s,apply(s,apply(k,X0))),X2),X1) = apply(X0,apply(X1,apply(X2,X1))),
    inference(superposition,[],[f5,f1]) ).

fof(f5,plain,
    ! [X2,X0,X1] : apply(X0,apply(X2,X1)) = apply(apply(apply(s,apply(k,X0)),X2),X1),
    inference(superposition,[],[f1,f2]) ).

fof(f3,axiom,
    ! [X1] : apply(combinator,X1) != X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COL001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Jun 18 16:30:39 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.37  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.37  Running first-order theorem proving
% 0.13/0.37  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.44  % (4144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (4150)lrs+10_1:1024_sil=64000:i=305:to=lpo:drc=encompass:bd=off_0 on theBenchmark for (3000ds/305Mi)
% 0.23/0.44  % (4144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (4149)lrs+10_1:1_sil=2000:sos=on:urr=on:st=5.0:i=149:ep=RSTC:ss=axioms:flr=on:fsr=off:br=off_0 on theBenchmark for (3000ds/149Mi)
% 0.23/0.44  % (4144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (4145)ott+10_1:36_drc=encompass:sil=256000:tgt=full:fde=none:st=5.0:i=276418:ss=axioms:sgt=16:sp=occurrence:plsq=on_0 on theBenchmark for (3000ds/276418Mi)
% 0.23/0.44  % (4144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (4146)dis+10_1:28_drc=encompass:sil=256000:tgt=ground:i=146946:dpc=on:bs=on_0 on theBenchmark for (3000ds/146946Mi)
% 0.23/0.44  % (4144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (4151)lrs+10_1:32_slsqr=1,2:drc=encompass:sil=2000:slsqc=1:slsq=on:i=729:slsql=off:fd=preordered:lwlo=on_0 on theBenchmark for (3000ds/729Mi)
% 0.23/0.44  % (4144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (4148)lrs+10_1:1024_drc=encompass:sil=2000:i=149_0 on theBenchmark for (3000ds/149Mi)
% 0.23/0.44  % (4144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (4147)dis+10_1:64_sil=256000:i=105:bd=off:fd=off_0 on theBenchmark for (3000ds/105Mi)
% 0.23/0.50  % (4147)Instruction limit reached!
% 0.23/0.50  % (4147)------------------------------
% 0.23/0.50  % (4147)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50  % (4147)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50  % (4147)Termination reason: Time limit
% 0.23/0.50  % (4147)Termination phase: Saturation
% 0.23/0.50  
% 0.23/0.50  % (4147)Memory used [KB]: 1724
% 0.23/0.50  % (4147)Time elapsed: 0.055 s
% 0.23/0.50  % (4147)Instructions burned: 106 (million)
% 0.23/0.52  % (4149)Instruction limit reached!
% 0.23/0.52  % (4149)------------------------------
% 0.23/0.52  % (4149)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52  % (4149)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52  % (4149)Termination reason: Time limit
% 0.23/0.52  % (4149)Termination phase: Saturation
% 0.23/0.52  
% 0.23/0.52  % (4149)Memory used [KB]: 2219
% 0.23/0.52  % (4149)Time elapsed: 0.083 s
% 0.23/0.52  % (4149)Instructions burned: 150 (million)
% 0.23/0.53  % (4148)Instruction limit reached!
% 0.23/0.53  % (4148)------------------------------
% 0.23/0.53  % (4148)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.53  % (4148)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.53  % (4148)Termination reason: Time limit
% 0.23/0.53  % (4148)Termination phase: Saturation
% 0.23/0.53  
% 0.23/0.53  % (4148)Memory used [KB]: 1983
% 0.23/0.53  % (4148)Time elapsed: 0.085 s
% 0.23/0.53  % (4148)Instructions burned: 149 (million)
% 0.23/0.56  % (4144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.56  % (4152)lrs+10_1:7_drc=encompass:sil=64000:i=132:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered_0 on theBenchmark for (2998ds/132Mi)
% 0.23/0.57  % (4150)Instruction limit reached!
% 0.23/0.57  % (4150)------------------------------
% 0.23/0.57  % (4150)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.57  % (4150)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.57  % (4150)Termination reason: Time limit
% 0.23/0.57  % (4150)Termination phase: Saturation
% 0.23/0.57  
% 0.23/0.57  % (4150)Memory used [KB]: 2049
% 0.23/0.57  % (4150)Time elapsed: 0.141 s
% 0.23/0.57  % (4150)Instructions burned: 307 (million)
% 0.23/0.58  % (4144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.58  % (4153)lrs+10_1:7_drc=encompass:sil=64000:tgt=full:spb=non_intro:i=134:awrs=converge:awrsf=67:sp=reverse_frequency:nwc=1.5_0 on theBenchmark for (2998ds/134Mi)
% 0.23/0.58  % (4151)First to succeed.
% 0.23/0.58  % (4151)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4144"
% 0.23/0.58  % (4144)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.58  % (4151)Refutation found. Thanks to Tanya!
% 0.23/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.58  % (4151)------------------------------
% 0.23/0.58  % (4151)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.58  % (4151)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.58  % (4151)Termination reason: Refutation
% 0.23/0.58  
% 0.23/0.58  % (4151)Memory used [KB]: 2512
% 0.23/0.58  % (4151)Time elapsed: 0.140 s
% 0.23/0.58  % (4151)Instructions burned: 245 (million)
% 0.23/0.58  % (4151)------------------------------
% 0.23/0.58  % (4151)------------------------------
% 0.23/0.58  % (4144)Success in time 0.194 s
%------------------------------------------------------------------------------