TSTP Solution File: COL062-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL062-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 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 : Wed Aug 31 15:51:54 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 42 ( 15 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 52 ( 30 ~; 20 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,plain,
$false,
inference(avatar_sat_refutation,[],[f7,f11,f21]) ).
fof(f21,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f20]) ).
fof(f20,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f19]) ).
fof(f19,plain,
( apply(apply(x,z),y) != apply(apply(x,z),y)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f18,f6]) ).
fof(f6,plain,
( ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f5,plain,
( spl0_1
<=> ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f18,plain,
( apply(apply(x,z),y) != apply(apply(t,y),apply(x,z))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f17,f10]) ).
fof(f10,plain,
( ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f9,plain,
( spl0_2
<=> ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f17,plain,
( apply(apply(x,z),y) != apply(apply(apply(b,apply(t,y)),x),z)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f16,f10]) ).
fof(f16,plain,
( apply(apply(x,z),y) != apply(apply(apply(apply(apply(b,b),t),y),x),z)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f15,f6]) ).
fof(f15,plain,
( apply(apply(x,z),y) != apply(apply(apply(t,x),apply(apply(apply(b,b),t),y)),z)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f14,f10]) ).
fof(f14,plain,
( apply(apply(x,z),y) != apply(apply(apply(apply(b,apply(t,x)),apply(apply(b,b),t)),y),z)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f13,f10]) ).
fof(f13,plain,
( apply(apply(x,z),y) != apply(apply(apply(apply(apply(apply(b,b),t),x),apply(apply(b,b),t)),y),z)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f12,f6]) ).
fof(f12,plain,
( apply(apply(x,z),y) != apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(apply(apply(b,b),t),x)),y),z)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3,f10]) ).
fof(f3,axiom,
apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),x),y),z) != apply(apply(x,z),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_combinator) ).
fof(f11,plain,
spl0_2,
inference(avatar_split_clause,[],[f1,f9]) ).
fof(f1,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(f7,plain,
spl0_1,
inference(avatar_split_clause,[],[f2,f5]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL062-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.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 : Mon Aug 29 16:57:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (6730)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.49 % (6722)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.49 % (6730)First to succeed.
% 0.20/0.50 % (6730)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (6730)------------------------------
% 0.20/0.50 % (6730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (6730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (6730)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (6730)Memory used [KB]: 5500
% 0.20/0.50 % (6730)Time elapsed: 0.089 s
% 0.20/0.50 % (6730)Instructions burned: 1 (million)
% 0.20/0.50 % (6730)------------------------------
% 0.20/0.50 % (6730)------------------------------
% 0.20/0.50 % (6717)Success in time 0.144 s
%------------------------------------------------------------------------------