TSTP Solution File: FLD059-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : FLD059-1 : 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 : n016.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 05:08:06 EDT 2024
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 60 ( 32 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2889,plain,
$false,
inference(avatar_sat_refutation,[],[f303,f2860,f2879,f2888]) ).
fof(f2888,plain,
spl0_29,
inference(avatar_contradiction_clause,[],[f2884]) ).
fof(f2884,plain,
( $false
| spl0_29 ),
inference(resolution,[],[f2878,f29]) ).
fof(f29,axiom,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_2) ).
fof(f2878,plain,
( ~ less_or_equal(additive_identity,a)
| spl0_29 ),
inference(avatar_component_clause,[],[f2876]) ).
fof(f2876,plain,
( spl0_29
<=> less_or_equal(additive_identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f2879,plain,
( ~ spl0_11
| ~ spl0_29
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f2861,f2858,f2876,f295]) ).
fof(f295,plain,
( spl0_11
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2858,plain,
( spl0_28
<=> ! [X0] :
( ~ equalish(add(X0,a),a)
| ~ less_or_equal(X0,a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2861,plain,
( ~ less_or_equal(additive_identity,a)
| ~ defined(a)
| ~ spl0_28 ),
inference(resolution,[],[f2859,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(f2859,plain,
( ! [X0] :
( ~ equalish(add(X0,a),a)
| ~ less_or_equal(X0,a) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f2858]) ).
fof(f2860,plain,
( ~ spl0_11
| spl0_28 ),
inference(avatar_split_clause,[],[f493,f2858,f295]) ).
fof(f493,plain,
! [X0] :
( ~ equalish(add(X0,a),a)
| ~ less_or_equal(X0,a)
| ~ defined(a) ),
inference(resolution,[],[f462,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(f462,plain,
! [X0] :
( ~ less_or_equal(X0,add(a,a))
| ~ equalish(X0,a) ),
inference(resolution,[],[f102,f29]) ).
fof(f102,plain,
! [X0,X1] :
( ~ less_or_equal(additive_identity,X0)
| ~ equalish(X1,X0)
| ~ less_or_equal(X1,add(a,a)) ),
inference(resolution,[],[f45,f26]) ).
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(f45,plain,
! [X0] :
( ~ less_or_equal(X0,add(a,a))
| ~ less_or_equal(additive_identity,X0) ),
inference(resolution,[],[f17,f30]) ).
fof(f30,axiom,
~ less_or_equal(additive_identity,add(a,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_3) ).
fof(f17,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X2)
| ~ less_or_equal(X0,X1)
| ~ less_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f303,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| spl0_11 ),
inference(resolution,[],[f297,f28]) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f297,plain,
( ~ defined(a)
| spl0_11 ),
inference(avatar_component_clause,[],[f295]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : FLD059-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 19:45:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (32164)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (32169)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (32170)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (32171)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)
% 0.13/0.36 % (32166)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (32168)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (32167)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)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [1]
% 0.13/0.36 % (32165)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.19/0.40 TRYING [5]
% 0.19/0.41 TRYING [5]
% 0.19/0.42 TRYING [5]
% 0.19/0.42 TRYING [5]
% 0.19/0.43 % (32167)First to succeed.
% 0.19/0.43 % (32167)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32164"
% 0.19/0.43 % (32167)Refutation found. Thanks to Tanya!
% 0.19/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.43 % (32167)------------------------------
% 0.19/0.43 % (32167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.43 % (32167)Termination reason: Refutation
% 0.19/0.43
% 0.19/0.43 % (32167)Memory used [KB]: 1706
% 0.19/0.43 % (32167)Time elapsed: 0.065 s
% 0.19/0.43 % (32167)Instructions burned: 159 (million)
% 0.19/0.43 % (32164)Success in time 0.081 s
%------------------------------------------------------------------------------