TSTP Solution File: COL064-8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL064-8 : TPTP v8.2.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 May 20 19:06:18 EDT 2024
% Result : Unsatisfiable 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,plain,
$false,
inference(trivial_inequality_removal,[],[f13]) ).
fof(f13,plain,
apply(apply(z,x),y) != apply(apply(z,x),y),
inference(superposition,[],[f12,f2]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
fof(f12,plain,
apply(apply(z,x),y) != apply(apply(t,y),apply(z,x)),
inference(forward_demodulation,[],[f11,f2]) ).
fof(f11,plain,
apply(apply(z,x),y) != apply(apply(t,y),apply(apply(t,x),z)),
inference(superposition,[],[f10,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f10,plain,
apply(apply(z,x),y) != apply(apply(apply(b,apply(t,y)),apply(t,x)),z),
inference(forward_demodulation,[],[f9,f2]) ).
fof(f9,plain,
apply(apply(z,x),y) != apply(apply(apply(t,apply(t,x)),apply(b,apply(t,y))),z),
inference(forward_demodulation,[],[f8,f1]) ).
fof(f8,plain,
apply(apply(z,x),y) != apply(apply(apply(apply(apply(b,t),t),x),apply(b,apply(t,y))),z),
inference(forward_demodulation,[],[f7,f1]) ).
fof(f7,plain,
apply(apply(z,x),y) != apply(apply(apply(apply(apply(b,t),t),x),apply(apply(apply(b,b),t),y)),z),
inference(forward_demodulation,[],[f6,f1]) ).
fof(f6,plain,
apply(apply(z,x),y) != apply(apply(apply(apply(b,apply(apply(apply(b,t),t),x)),apply(apply(b,b),t)),y),z),
inference(forward_demodulation,[],[f5,f2]) ).
fof(f5,plain,
apply(apply(z,x),y) != apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(apply(apply(b,t),t),x))),y),z),
inference(forward_demodulation,[],[f4,f1]) ).
fof(f4,plain,
apply(apply(z,x),y) != apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),b),apply(apply(apply(b,t),t),x)),y),z),
inference(backward_demodulation,[],[f3,f1]) ).
fof(f3,axiom,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),apply(apply(b,t),t)),x),y),z) != apply(apply(z,x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.17 % Problem : COL064-8 : TPTP v8.2.0. Bugfixed v1.2.0.
% 0.17/0.20 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.19/0.42 % Computer : n013.cluster.edu
% 0.19/0.42 % Model : x86_64 x86_64
% 0.19/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.42 % Memory : 8042.1875MB
% 0.19/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.42 % CPULimit : 300
% 0.19/0.42 % WCLimit : 300
% 0.19/0.42 % DateTime : Sat May 18 13:19:53 EDT 2024
% 0.19/0.42 % CPUTime :
% 0.19/0.43 % (3256)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.45 % (3262)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)
% 0.19/0.45 % (3262)First to succeed.
% 0.19/0.45 % (3262)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3256"
% 0.19/0.45 % (3262)Refutation found. Thanks to Tanya!
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.45 % (3262)------------------------------
% 0.19/0.45 % (3262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.45 % (3262)Termination reason: Refutation
% 0.19/0.45
% 0.19/0.45 % (3262)Memory used [KB]: 752
% 0.19/0.45 % (3262)Time elapsed: 0.004 s
% 0.19/0.45 % (3262)Instructions burned: 3 (million)
% 0.19/0.45 % (3256)Success in time 0.022 s
%------------------------------------------------------------------------------