TSTP Solution File: FLD021-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD021-1 : 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 : n029.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 11:06:17 EDT 2024
% Result : Unsatisfiable 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 25 ~; 20 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f397,plain,
$false,
inference(avatar_sat_refutation,[],[f337,f353,f374,f396]) ).
fof(f396,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f373,f30]) ).
fof(f30,axiom,
equalish(m,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_equals_additive_identity_3) ).
fof(f373,plain,
( ~ equalish(m,additive_identity)
| spl0_14 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f371,plain,
( spl0_14
<=> equalish(m,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f374,plain,
( ~ spl0_9
| ~ spl0_14
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f363,f351,f371,f328]) ).
fof(f328,plain,
( spl0_9
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f351,plain,
( spl0_11
<=> ! [X0] :
( ~ equalish(add(X0,a),a)
| ~ equalish(m,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f363,plain,
( ~ equalish(m,additive_identity)
| ~ defined(a)
| ~ spl0_11 ),
inference(resolution,[],[f352,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(f352,plain,
( ! [X0] :
( ~ equalish(add(X0,a),a)
| ~ equalish(m,X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f353,plain,
( ~ spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f142,f351,f328]) ).
fof(f142,plain,
! [X0] :
( ~ equalish(add(X0,a),a)
| ~ equalish(m,X0)
| ~ defined(a) ),
inference(resolution,[],[f40,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(f40,plain,
! [X0] :
( ~ equalish(add(m,a),X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f23,f31]) ).
fof(f31,axiom,
~ equalish(add(m,a),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_not_equal_to_a_4) ).
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(f337,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f336,plain,
( $false
| spl0_9 ),
inference(resolution,[],[f330,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f330,plain,
( ~ defined(a)
| spl0_9 ),
inference(avatar_component_clause,[],[f328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD021-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.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 03:40:20 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (29681)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (29683)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (29686)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (29682)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (29685)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (29687)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (29688)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 % (29684)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)
% 0.15/0.39 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 [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]
% 0.15/0.39 % (29684)First to succeed.
% 0.15/0.40 % (29684)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (29684)------------------------------
% 0.15/0.40 % (29684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.40 % (29684)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (29684)Memory used [KB]: 918
% 0.15/0.40 % (29684)Time elapsed: 0.010 s
% 0.15/0.40 % (29684)Instructions burned: 13 (million)
% 0.15/0.40 % (29684)------------------------------
% 0.15/0.40 % (29684)------------------------------
% 0.15/0.40 % (29681)Success in time 0.026 s
%------------------------------------------------------------------------------