TSTP Solution File: COL062-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL062-3 : 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 : n032.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 19:06:15 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 55 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 22 ~; 21 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,plain,
$false,
inference(avatar_sat_refutation,[],[f8,f19,f23,f27,f33,f36]) ).
fof(f36,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f35]) ).
fof(f35,plain,
( $false
| ~ spl0_3
| spl0_5 ),
inference(trivial_inequality_removal,[],[f34]) ).
fof(f34,plain,
( apply(apply(x,z),y) != apply(apply(x,z),y)
| ~ spl0_3
| spl0_5 ),
inference(superposition,[],[f32,f22]) ).
fof(f22,plain,
( ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_3
<=> ! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f32,plain,
( apply(apply(x,z),y) != apply(apply(t,y),apply(x,z))
| spl0_5 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_5
<=> apply(apply(x,z),y) = apply(apply(t,y),apply(x,z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f33,plain,
( ~ spl0_5
| spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f28,f25,f16,f30]) ).
fof(f16,plain,
( spl0_2
<=> apply(apply(x,z),y) = apply(apply(apply(b,apply(t,y)),x),z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f25,plain,
( spl0_4
<=> ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f28,plain,
( apply(apply(x,z),y) != apply(apply(t,y),apply(x,z))
| spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f18,f26]) ).
fof(f26,plain,
( ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f18,plain,
( apply(apply(x,z),y) != apply(apply(apply(b,apply(t,y)),x),z)
| spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f27,plain,
spl0_4,
inference(avatar_split_clause,[],[f1,f25]) ).
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(f23,plain,
spl0_3,
inference(avatar_split_clause,[],[f2,f21]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).
fof(f19,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f14,f5,f16]) ).
fof(f5,plain,
( spl0_1
<=> apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t),x),y),z) = apply(apply(x,z),y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f14,plain,
( apply(apply(x,z),y) != apply(apply(apply(b,apply(t,y)),x),z)
| spl0_1 ),
inference(forward_demodulation,[],[f13,f1]) ).
fof(f13,plain,
( apply(apply(x,z),y) != apply(apply(apply(apply(apply(b,b),t),y),x),z)
| spl0_1 ),
inference(forward_demodulation,[],[f12,f2]) ).
fof(f12,plain,
( apply(apply(x,z),y) != apply(apply(apply(t,x),apply(apply(apply(b,b),t),y)),z)
| spl0_1 ),
inference(forward_demodulation,[],[f11,f1]) ).
fof(f11,plain,
( apply(apply(x,z),y) != apply(apply(apply(apply(b,apply(t,x)),apply(apply(b,b),t)),y),z)
| spl0_1 ),
inference(forward_demodulation,[],[f10,f2]) ).
fof(f10,plain,
( apply(apply(x,z),y) != apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(t,x))),y),z)
| spl0_1 ),
inference(forward_demodulation,[],[f9,f1]) ).
fof(f9,plain,
( apply(apply(x,z),y) != apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),b),apply(t,x)),y),z)
| spl0_1 ),
inference(forward_demodulation,[],[f7,f1]) ).
fof(f7,plain,
( apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t),x),y),z) != apply(apply(x,z),y)
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f8,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f3,f5]) ).
fof(f3,axiom,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t),x),y),z) != apply(apply(x,z),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL062-3 : TPTP v8.2.0. Bugfixed v1.2.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n032.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 13:15:22 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (3851)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (3854)WARNING: value z3 for option sas not known
% 0.14/0.38 % (3856)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)
% 0.14/0.38 % (3855)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (3852)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (3854)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (3853)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (3857)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)
% 0.14/0.38 % (3858)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)
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (3856)First to succeed.
% 0.14/0.38 % (3858)Also succeeded, but the first one will report.
% 0.14/0.38 % (3857)Also succeeded, but the first one will report.
% 0.14/0.38 % (3856)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3851"
% 0.14/0.38 % (3854)Also succeeded, but the first one will report.
% 0.14/0.38 % (3856)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (3856)------------------------------
% 0.14/0.38 % (3856)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (3856)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (3856)Memory used [KB]: 755
% 0.14/0.38 % (3856)Time elapsed: 0.004 s
% 0.14/0.38 % (3856)Instructions burned: 3 (million)
% 0.14/0.38 % (3851)Success in time 0.018 s
%------------------------------------------------------------------------------