TSTP Solution File: FLD067-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD067-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Tue Apr 30 11:06:35 EDT 2024
% Result : Unsatisfiable 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 56 ( 28 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f785,plain,
$false,
inference(avatar_sat_refutation,[],[f226,f726,f773,f779,f784]) ).
fof(f784,plain,
spl0_25,
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f780,plain,
( $false
| spl0_25 ),
inference(resolution,[],[f772,f30]) ).
fof(f30,axiom,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f772,plain,
( ~ less_or_equal(a,b)
| spl0_25 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f770,plain,
( spl0_25
<=> less_or_equal(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f779,plain,
spl0_24,
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| spl0_24 ),
inference(resolution,[],[f768,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f768,plain,
( ~ defined(a)
| spl0_24 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f766,plain,
( spl0_24
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f773,plain,
( ~ spl0_24
| ~ spl0_25
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f760,f724,f770,f766]) ).
fof(f724,plain,
( spl0_23
<=> ! [X0] :
( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ less_or_equal(X0,b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f760,plain,
( ~ less_or_equal(a,b)
| ~ defined(a)
| ~ spl0_23 ),
inference(resolution,[],[f725,f3]) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f725,plain,
( ! [X0] :
( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ less_or_equal(X0,b) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f726,plain,
( ~ spl0_11
| spl0_23 ),
inference(avatar_split_clause,[],[f151,f724,f168]) ).
fof(f168,plain,
( spl0_11
<=> defined(additive_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f151,plain,
! [X0] :
( ~ equalish(add(X0,additive_inverse(a)),additive_identity)
| ~ less_or_equal(X0,b)
| ~ defined(additive_inverse(a)) ),
inference(resolution,[],[f52,f19]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X2),add(X1,X2))
| ~ less_or_equal(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f52,plain,
! [X0] :
( ~ less_or_equal(X0,add(b,additive_inverse(a)))
| ~ equalish(X0,additive_identity) ),
inference(resolution,[],[f26,f31]) ).
fof(f31,axiom,
~ less_or_equal(additive_identity,add(b,additive_inverse(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_4) ).
fof(f26,axiom,
! [X2,X0,X1] :
( less_or_equal(X1,X2)
| ~ equalish(X0,X1)
| ~ less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f226,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f225,plain,
( $false
| spl0_11 ),
inference(resolution,[],[f200,f28]) ).
fof(f200,plain,
( ~ defined(a)
| spl0_11 ),
inference(resolution,[],[f170,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f170,plain,
( ~ defined(additive_inverse(a))
| spl0_11 ),
inference(avatar_component_clause,[],[f168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD067-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n014.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 : Tue Apr 30 03:16:49 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (27516)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (27517)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (27518)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (27520)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (27519)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (27521)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (27522)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (27523)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.22/0.40 % (27519)First to succeed.
% 0.22/0.40 % (27519)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (27519)------------------------------
% 0.22/0.40 % (27519)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40 % (27519)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (27519)Memory used [KB]: 1083
% 0.22/0.40 % (27519)Time elapsed: 0.018 s
% 0.22/0.40 % (27519)Instructions burned: 28 (million)
% 0.22/0.40 % (27519)------------------------------
% 0.22/0.40 % (27519)------------------------------
% 0.22/0.40 % (27516)Success in time 0.034 s
%------------------------------------------------------------------------------