TSTP Solution File: GEO056-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO056-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Sun May 5 05:15:04 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of formulae : 33 ( 19 unt; 0 def)
% Number of atoms : 50 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 17 ~; 9 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-4 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f48,f53,f58,f62,f66,f70,f74,f77]) ).
fof(f77,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f75]) ).
fof(f75,plain,
( v != v
| spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f42,f73]) ).
fof(f73,plain,
( ! [X3,X10,X5] : extension(X10,X3,X5,X5) = X3
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_8
<=> ! [X5,X3,X10] : extension(X10,X3,X5,X5) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f42,plain,
( v != extension(v,v,v,v)
| spl0_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_1
<=> v = extension(v,v,v,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f74,plain,
spl0_8,
inference(avatar_split_clause,[],[f29,f72]) ).
fof(f29,axiom,
! [X3,X10,X5] : extension(X10,X3,X5,X5) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e1) ).
fof(f70,plain,
spl0_7,
inference(avatar_split_clause,[],[f7,f68]) ).
fof(f68,plain,
( spl0_7
<=> ! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
| ~ between(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f66,plain,
spl0_6,
inference(avatar_split_clause,[],[f20,f64]) ).
fof(f64,plain,
( spl0_6
<=> ! [X3,X10] : equidistant(X10,X3,X10,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f20,axiom,
! [X3,X10] : equidistant(X10,X3,X10,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
fof(f62,plain,
spl0_5,
inference(avatar_split_clause,[],[f1,f60]) ).
fof(f60,plain,
( spl0_5
<=> ! [X0,X1] : equidistant(X0,X1,X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f58,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f12,f55]) ).
fof(f55,plain,
( spl0_4
<=> between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f12,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension3) ).
fof(f53,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f11,f50]) ).
fof(f50,plain,
( spl0_3
<=> between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f11,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension2) ).
fof(f48,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f10,f45]) ).
fof(f45,plain,
( spl0_2
<=> between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f10,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lower_dimension1) ).
fof(f43,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f35,f40]) ).
fof(f35,plain,
v != extension(v,v,v,v),
inference(definition_unfolding,[],[f34,f19,f33]) ).
fof(f33,axiom,
u = v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_equals_v) ).
fof(f19,axiom,
! [X3,X10] : reflection(X10,X3) = extension(X10,X3,X10,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflection) ).
fof(f34,axiom,
v != reflection(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_equals_reflection) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO056-3 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 22:02:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (3273)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (3276)WARNING: value z3 for option sas not known
% 0.15/0.38 % (3278)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)
% 0.15/0.38 % (3277)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (3274)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (3275)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (3276)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)
% 0.15/0.38 % (3279)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)
% 0.15/0.38 % (3280)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)
% 0.15/0.38 % (3278)First to succeed.
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (3278)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3273"
% 0.15/0.38 % (3279)Also succeeded, but the first one will report.
% 0.15/0.39 % (3280)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (3278)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (3278)------------------------------
% 0.15/0.39 % (3278)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (3278)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (3278)Memory used [KB]: 819
% 0.15/0.39 % (3278)Time elapsed: 0.005 s
% 0.15/0.39 % (3278)Instructions burned: 4 (million)
% 0.15/0.39 % (3273)Success in time 0.021 s
%------------------------------------------------------------------------------