TSTP Solution File: FLD003-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD003-1 : 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 : n015.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 05:07:49 EDT 2024
% Result : Unsatisfiable 24.59s 3.87s
% Output : Refutation 24.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of formulae : 45 ( 8 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 102 ( 49 ~; 46 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84193,plain,
$false,
inference(avatar_sat_refutation,[],[f749,f751,f753,f770,f772,f83960,f84012,f84192]) ).
fof(f84192,plain,
spl0_252,
inference(avatar_contradiction_clause,[],[f84191]) ).
fof(f84191,plain,
( $false
| spl0_252 ),
inference(resolution,[],[f84013,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f84013,plain,
( ~ defined(a)
| spl0_252 ),
inference(resolution,[],[f84011,f2]) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f84011,plain,
( ~ equalish(add(additive_identity,a),a)
| spl0_252 ),
inference(avatar_component_clause,[],[f84009]) ).
fof(f84009,plain,
( spl0_252
<=> equalish(add(additive_identity,a),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f84012,plain,
( ~ spl0_12
| ~ spl0_252
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f83975,f83958,f84009,f739]) ).
fof(f739,plain,
( spl0_12
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f83958,plain,
( spl0_251
<=> ! [X0] :
( ~ equalish(add(X0,a),a)
| ~ equalish(add(b,additive_inverse(b)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f83975,plain,
( ~ equalish(add(additive_identity,a),a)
| ~ defined(b)
| ~ spl0_251 ),
inference(resolution,[],[f83959,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(f83959,plain,
( ! [X0] :
( ~ equalish(add(b,additive_inverse(b)),X0)
| ~ equalish(add(X0,a),a) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f83958]) ).
fof(f83960,plain,
( ~ spl0_11
| spl0_251
| spl0_15 ),
inference(avatar_split_clause,[],[f1628,f767,f83958,f735]) ).
fof(f735,plain,
( spl0_11
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f767,plain,
( spl0_15
<=> equalish(add(add(b,additive_inverse(b)),a),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1628,plain,
( ! [X0] :
( ~ equalish(add(X0,a),a)
| ~ equalish(add(b,additive_inverse(b)),X0)
| ~ defined(a) )
| spl0_15 ),
inference(resolution,[],[f775,f24]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( equalish(add(X0,X2),add(X1,X2))
| ~ equalish(X0,X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_addition) ).
fof(f775,plain,
( ! [X0] :
( ~ equalish(add(add(b,additive_inverse(b)),a),X0)
| ~ equalish(X0,a) )
| spl0_15 ),
inference(resolution,[],[f769,f23]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X0,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f769,plain,
( ~ equalish(add(add(b,additive_inverse(b)),a),a)
| spl0_15 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f772,plain,
( ~ spl0_10
| ~ spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f771,f763,f739,f731]) ).
fof(f731,plain,
( spl0_10
<=> defined(additive_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f763,plain,
( spl0_14
<=> defined(add(b,additive_inverse(b))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f771,plain,
( ~ defined(b)
| ~ defined(additive_inverse(b))
| spl0_14 ),
inference(resolution,[],[f765,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f765,plain,
( ~ defined(add(b,additive_inverse(b)))
| spl0_14 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f770,plain,
( ~ spl0_14
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f127,f767,f735,f763]) ).
fof(f127,plain,
( ~ equalish(add(add(b,additive_inverse(b)),a),a)
| ~ defined(a)
| ~ defined(add(b,additive_inverse(b))) ),
inference(resolution,[],[f39,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f39,plain,
! [X0] :
( ~ equalish(add(a,add(b,additive_inverse(b))),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f23,f30]) ).
fof(f30,axiom,
~ equalish(add(a,add(b,additive_inverse(b))),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_not_equal_to_a_3) ).
fof(f753,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f752]) ).
fof(f752,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f741,f29]) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f741,plain,
( ~ defined(b)
| spl0_12 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f751,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f750]) ).
fof(f750,plain,
( $false
| spl0_11 ),
inference(resolution,[],[f737,f28]) ).
fof(f737,plain,
( ~ defined(a)
| spl0_11 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f749,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f748,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f747,f29]) ).
fof(f747,plain,
( ~ defined(b)
| spl0_10 ),
inference(resolution,[],[f733,f12]) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f733,plain,
( ~ defined(additive_inverse(b))
| spl0_10 ),
inference(avatar_component_clause,[],[f731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD003-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:49:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12996)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (13001)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (12997)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (12999)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)
% 0.14/0.37 % (12998)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (13000)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (13002)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (13003)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.20/0.43 TRYING [5]
% 0.20/0.43 TRYING [5]
% 0.20/0.43 TRYING [5]
% 0.20/0.44 TRYING [5]
% 0.20/0.52 TRYING [6]
% 0.20/0.52 TRYING [6]
% 0.20/0.52 TRYING [6]
% 0.20/0.56 TRYING [6]
% 3.02/0.84 TRYING [7]
% 3.02/0.84 TRYING [7]
% 3.59/0.85 TRYING [7]
% 3.80/0.91 TRYING [7]
% 22.80/3.59 TRYING [8]
% 23.21/3.65 TRYING [8]
% 23.29/3.66 TRYING [8]
% 23.97/3.75 TRYING [8]
% 24.59/3.87 % (12999)First to succeed.
% 24.59/3.87 % (12999)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12996"
% 24.59/3.87 % (12999)Refutation found. Thanks to Tanya!
% 24.59/3.87 % SZS status Unsatisfiable for theBenchmark
% 24.59/3.87 % SZS output start Proof for theBenchmark
% See solution above
% 24.59/3.87 % (12999)------------------------------
% 24.59/3.87 % (12999)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 24.59/3.87 % (12999)Termination reason: Refutation
% 24.59/3.87
% 24.59/3.87 % (12999)Memory used [KB]: 34121
% 24.59/3.87 % (12999)Time elapsed: 3.500 s
% 24.59/3.87 % (12999)Instructions burned: 14939 (million)
% 24.59/3.87 % (12996)Success in time 3.478 s
%------------------------------------------------------------------------------