TSTP Solution File: COL063-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COL063-3 : 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 : 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 : Wed Aug 31 15:52:39 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 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 : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,plain,
$false,
inference(subsumption_resolution,[],[f25,f1]) ).
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(f25,plain,
apply(apply(apply(b,apply(t,x)),apply(t,y)),z) != apply(apply(t,x),apply(apply(t,y),z)),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f24,plain,
apply(apply(t,x),apply(apply(t,y),z)) != apply(apply(apply(apply(apply(b,b),t),x),apply(t,y)),z),
inference(forward_demodulation,[],[f23,f14]) ).
fof(f14,plain,
! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(t,X1),apply(b,X0)),X2),
inference(superposition,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).
fof(f23,plain,
apply(apply(t,x),apply(apply(t,y),z)) != apply(apply(apply(apply(t,t),apply(b,apply(apply(apply(b,b),t),x))),y),z),
inference(forward_demodulation,[],[f17,f14]) ).
fof(f17,plain,
apply(apply(t,x),apply(apply(t,y),z)) != apply(apply(apply(apply(apply(t,b),apply(b,apply(t,t))),apply(apply(apply(b,b),t),x)),y),z),
inference(backward_demodulation,[],[f9,f14]) ).
fof(f9,plain,
apply(apply(t,x),apply(apply(t,y),z)) != apply(apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(apply(t,b),apply(b,apply(t,t))))),x),y),z),
inference(forward_demodulation,[],[f8,f2]) ).
fof(f8,plain,
apply(apply(apply(t,y),z),x) != apply(apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(apply(t,b),apply(b,apply(t,t))))),x),y),z),
inference(forward_demodulation,[],[f7,f2]) ).
fof(f7,plain,
apply(apply(z,y),x) != apply(apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(apply(t,b),apply(b,apply(t,t))))),x),y),z),
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
apply(apply(z,y),x) != apply(apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(apply(b,apply(t,t)),b))),x),y),z),
inference(backward_demodulation,[],[f3,f2]) ).
fof(f3,axiom,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,t)),b)),apply(apply(b,b),t)),x),y),z) != apply(apply(z,y),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_f_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL063-3 : 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
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 17:01:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.51 % (21459)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.21/0.51 % (21451)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.21/0.51 % (21459)First to succeed.
% 0.21/0.51 % (21443)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.52 % (21459)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (21459)------------------------------
% 0.21/0.52 % (21459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (21459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (21459)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (21459)Memory used [KB]: 895
% 0.21/0.52 % (21459)Time elapsed: 0.060 s
% 0.21/0.52 % (21459)Instructions burned: 3 (million)
% 0.21/0.52 % (21459)------------------------------
% 0.21/0.52 % (21459)------------------------------
% 0.21/0.52 % (21436)Success in time 0.164 s
%------------------------------------------------------------------------------