TSTP Solution File: COL062-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n003.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 15:52:39 EDT 2022
% Result : Unsatisfiable 1.50s 0.55s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 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(f12,plain,
$false,
inference(trivial_inequality_removal,[],[f11]) ).
fof(f11,plain,
apply(apply(x,z),y) != apply(apply(x,z),y),
inference(superposition,[],[f10,f2]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
fof(f10,plain,
apply(apply(x,z),y) != apply(apply(t,y),apply(x,z)),
inference(superposition,[],[f9,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(f9,plain,
apply(apply(x,z),y) != apply(apply(apply(b,apply(t,y)),x),z),
inference(forward_demodulation,[],[f8,f1]) ).
fof(f8,plain,
apply(apply(x,z),y) != apply(apply(apply(apply(apply(b,b),t),y),x),z),
inference(forward_demodulation,[],[f7,f2]) ).
fof(f7,plain,
apply(apply(x,z),y) != apply(apply(apply(t,x),apply(apply(apply(b,b),t),y)),z),
inference(forward_demodulation,[],[f6,f1]) ).
fof(f6,plain,
apply(apply(x,z),y) != apply(apply(apply(apply(b,apply(t,x)),apply(apply(b,b),t)),y),z),
inference(backward_demodulation,[],[f5,f2]) ).
fof(f5,plain,
apply(apply(x,z),y) != apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(t,x))),y),z),
inference(forward_demodulation,[],[f4,f1]) ).
fof(f4,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),
inference(backward_demodulation,[],[f3,f1]) ).
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/sandbox2/benchmark/theBenchmark.p',prove_c_combinator) ).
%------------------------------------------------------------------------------
%----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_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.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 16:46:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.50/0.54 % (13067)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 1.50/0.55 % (13067)First to succeed.
% 1.50/0.55 % (13067)Refutation found. Thanks to Tanya!
% 1.50/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.50/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.55 % (13067)------------------------------
% 1.50/0.55 % (13067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (13067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (13067)Termination reason: Refutation
% 1.50/0.55
% 1.50/0.55 % (13067)Memory used [KB]: 5373
% 1.50/0.55 % (13067)Time elapsed: 0.153 s
% 1.50/0.55 % (13067)Instructions burned: 2 (million)
% 1.50/0.55 % (13067)------------------------------
% 1.50/0.55 % (13067)------------------------------
% 1.50/0.55 % (13056)Success in time 0.201 s
%------------------------------------------------------------------------------