TSTP Solution File: NUM021-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 08:17:15 EDT 2024
% Result : Unsatisfiable 0.13s 0.32s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f539,plain,
$false,
inference(avatar_sat_refutation,[],[f46,f49,f538]) ).
fof(f538,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f531,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f522,f41]) ).
fof(f41,plain,
( equalish(c,a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_1
<=> equalish(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f522,plain,
~ equalish(c,a),
inference(resolution,[],[f221,f16]) ).
fof(f16,axiom,
less(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_less_than_c) ).
fof(f221,plain,
! [X0] :
( ~ less(b,X0)
| ~ equalish(X0,a) ),
inference(resolution,[],[f107,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_lemma) ).
fof(f107,plain,
! [X0,X1] :
( ~ equalish(add(successor(X0),b),X1)
| ~ equalish(X1,a) ),
inference(resolution,[],[f54,f17]) ).
fof(f17,axiom,
~ less(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_greater_equal_a) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( less(X3,X1)
| ~ equalish(add(successor(X2),X3),X0)
| ~ equalish(X0,X1) ),
inference(resolution,[],[f15,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ equalish(add(successor(X0),X1),X2)
| less(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',smaller_number) ).
fof(f15,axiom,
! [X3,X4,X5] :
( equalish(X3,X5)
| ~ equalish(X4,X5)
| ~ equalish(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f49,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f47]) ).
fof(f47,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f45,f29]) ).
fof(f29,plain,
~ less(c,a),
inference(resolution,[],[f28,f16]) ).
fof(f28,plain,
! [X0] :
( ~ less(b,X0)
| ~ less(X0,a) ),
inference(resolution,[],[f7,f17]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( less(X2,X1)
| ~ less(X2,X0)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less) ).
fof(f45,plain,
( less(c,a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_2
<=> less(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f46,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f37,f43,f39]) ).
fof(f37,plain,
( less(c,a)
| equalish(c,a) ),
inference(resolution,[],[f10,f18]) ).
fof(f18,axiom,
divides(c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_c_divides_a) ).
fof(f10,axiom,
! [X0,X1] :
( ~ divides(X0,X1)
| less(X0,X1)
| equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_only_less_or_equal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : NUM021-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri May 3 14:19:37 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (13641)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.31 % (13643)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.31 % (13646)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.31 % (13647)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.31 % (13648)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)
% 0.13/0.31 % (13644)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)
% 0.13/0.31 % (13645)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.31 TRYING [1]
% 0.13/0.31 TRYING [2]
% 0.13/0.31 TRYING [1]
% 0.13/0.31 TRYING [2]
% 0.13/0.31 TRYING [1]
% 0.13/0.31 TRYING [3]
% 0.13/0.31 TRYING [2]
% 0.13/0.31 TRYING [3]
% 0.13/0.31 TRYING [3]
% 0.13/0.31 % (13642)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.31 TRYING [1]
% 0.13/0.31 TRYING [2]
% 0.13/0.31 TRYING [4]
% 0.13/0.31 TRYING [3]
% 0.13/0.32 TRYING [4]
% 0.13/0.32 TRYING [4]
% 0.13/0.32 TRYING [4]
% 0.13/0.32 % (13644)First to succeed.
% 0.13/0.32 % (13644)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13641"
% 0.13/0.32 % (13644)Refutation found. Thanks to Tanya!
% 0.13/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.32 % (13644)------------------------------
% 0.13/0.32 % (13644)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.32 % (13644)Termination reason: Refutation
% 0.13/0.32
% 0.13/0.32 % (13644)Memory used [KB]: 959
% 0.13/0.32 % (13644)Time elapsed: 0.011 s
% 0.13/0.32 % (13644)Instructions burned: 18 (million)
% 0.13/0.32 % (13641)Success in time 0.026 s
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