TSTP Solution File: NUM890_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM890_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : Tue Apr 30 14:38:19 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 15 unt; 1 typ; 0 def)
% Number of atoms : 39 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 7 |; 0 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 61 ( 2 atm; 30 fun; 16 num; 13 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(f43,plain,
$false,
inference(avatar_sat_refutation,[],[f23,f27,f31,f35,f39,f42]) ).
tff(f42,plain,
( spl1_1
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f41]) ).
tff(f41,plain,
( $false
| spl1_1
| ~ spl1_5 ),
inference(trivial_inequality_removal,[],[f40]) ).
tff(f40,plain,
( ( 0 != 0 )
| spl1_1
| ~ spl1_5 ),
inference(superposition,[],[f22,f38]) ).
tff(f38,plain,
( ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f37,plain,
( spl1_5
<=> ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f22,plain,
( ( 0 != $sum(sK0,$uminus(sK0)) )
| spl1_1 ),
inference(avatar_component_clause,[],[f20]) ).
tff(f20,plain,
( spl1_1
<=> ( 0 = $sum(sK0,$uminus(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f39,plain,
spl1_5,
inference(avatar_split_clause,[],[f7,f37]) ).
tff(f7,plain,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
introduced(theory_axiom_140,[]) ).
tff(f35,plain,
spl1_4,
inference(avatar_split_clause,[],[f13,f33]) ).
tff(f33,plain,
( spl1_4
<=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f31,plain,
spl1_3,
inference(avatar_split_clause,[],[f5,f29]) ).
tff(f29,plain,
( spl1_3
<=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f27,plain,
spl1_2,
inference(avatar_split_clause,[],[f8,f25]) ).
tff(f25,plain,
( spl1_2
<=> ! [X0: $int] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f23,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f18,f20]) ).
tff(f18,plain,
0 != $sum(sK0,$uminus(sK0)),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
0 != $sum(sK0,$uminus(sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] : ( $sum(X0,$uminus(X0)) != 0 )
=> ( 0 != $sum(sK0,$uminus(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] : ( $sum(X0,$uminus(X0)) != 0 ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_uminus_to_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM890_1 : TPTP v8.1.2. Released v5.0.0.
% 0.04/0.14 % 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 : Tue Apr 30 00:24:32 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (30265)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (30270)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.36 % (30270)First to succeed.
% 0.14/0.37 % (30268)WARNING: value z3 for option sas not known
% 0.14/0.37 % (30270)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (30270)------------------------------
% 0.14/0.37 % (30270)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (30270)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (30270)Memory used [KB]: 755
% 0.14/0.37 % (30270)Time elapsed: 0.003 s
% 0.14/0.37 % (30270)Instructions burned: 3 (million)
% 0.14/0.37 % (30270)------------------------------
% 0.14/0.37 % (30270)------------------------------
% 0.14/0.37 % (30265)Success in time 0.014 s
%------------------------------------------------------------------------------