TSTP Solution File: COL037-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL037-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.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 : Sun May  5 04:45:37 EDT 2024

% Result   : Unsatisfiable 2.39s 0.69s
% Output   : Refutation 2.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4470,plain,
    $false,
    inference(unit_resulting_resolution,[],[f85,f2345]) ).

fof(f2345,plain,
    ! [X0,X1] : apply(apply(X0,X1),f(apply(X0,X1))) != apply(apply(apply(apply(s,b),apply(c,X0)),f(apply(X0,X1))),X1),
    inference(superposition,[],[f4,f113]) ).

fof(f113,plain,
    ! [X2,X0,X1] : apply(apply(apply(apply(s,b),apply(c,X0)),X1),X2) = apply(X1,apply(apply(X0,X2),X1)),
    inference(superposition,[],[f18,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : apply(apply(apply(c,X0),X1),X2) = apply(apply(X0,X2),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_definition) ).

fof(f18,plain,
    ! [X2,X0,X1] : apply(X0,apply(apply(X1,X0),X2)) = apply(apply(apply(apply(s,b),X1),X0),X2),
    inference(superposition,[],[f2,f1]) ).

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',s_definition) ).

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',b_definition) ).

fof(f4,axiom,
    ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

fof(f85,plain,
    ! [X2,X0,X1] : apply(apply(apply(X0,X1),X2),X1) = apply(apply(apply(apply(s,apply(c,c)),X0),X1),X2),
    inference(superposition,[],[f3,f17]) ).

fof(f17,plain,
    ! [X2,X0,X1] : apply(apply(X0,apply(X2,X1)),X1) = apply(apply(apply(s,apply(c,X0)),X2),X1),
    inference(superposition,[],[f1,f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COL037-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n027.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 18:28:08 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (8506)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38  % (8509)WARNING: value z3 for option sas not known
% 0.16/0.38  % (8507)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38  % (8508)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38  % (8510)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38  % (8509)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38  % (8511)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_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.38  % (8512)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.38  % (8513)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.38  TRYING [1]
% 0.16/0.38  TRYING [1]
% 0.16/0.38  TRYING [2]
% 0.16/0.38  TRYING [2]
% 0.22/0.39  TRYING [3]
% 0.22/0.39  TRYING [3]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4]
% 0.22/0.49  TRYING [5]
% 0.22/0.51  TRYING [5]
% 2.39/0.69  % (8513)First to succeed.
% 2.39/0.69  % (8513)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8506"
% 2.39/0.69  % (8513)Refutation found. Thanks to Tanya!
% 2.39/0.69  % SZS status Unsatisfiable for theBenchmark
% 2.39/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.39/0.69  % (8513)------------------------------
% 2.39/0.69  % (8513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.39/0.69  % (8513)Termination reason: Refutation
% 2.39/0.69  
% 2.39/0.69  % (8513)Memory used [KB]: 6678
% 2.39/0.69  % (8513)Time elapsed: 0.310 s
% 2.39/0.69  % (8513)Instructions burned: 746 (million)
% 2.39/0.69  % (8506)Success in time 0.316 s
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