TSTP Solution File: ARI093_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI093_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n017.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 : Wed Aug 30 17:52:31 EDT 2023
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 11 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 6 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 26 ( 0 atm; 10 fun; 6 num; 10 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 10 (; 7 !; 3 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_2,type,
sQ0_eqProxy: ( $int * $int ) > $o ).
tff(f37,plain,
$false,
inference(unit_resulting_resolution,[],[f34,f31]) ).
tff(f31,plain,
! [X0: $int] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f18]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( sQ0_eqProxy(X0,X1)
<=> ( X0 = X1 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f34,plain,
! [X0: $int] : ~ sQ0_eqProxy(X0,X0),
inference(evaluation,[],[f26]) ).
tff(f26,plain,
! [X0: $int] : ~ sQ0_eqProxy($sum(X0,$uminus(0)),X0),
inference(equality_proxy_replacement,[],[f17,f18]) ).
tff(f17,plain,
! [X0: $int] : ( $sum(X0,$uminus(0)) != X0 ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0: $int] : ( $sum(X0,$uminus(0)) != X0 ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ? [X0: $int] : ( $sum(X0,$uminus(0)) = X0 ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : ( $difference(X0,0) = X0 ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int] : ( $difference(X0,0) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.mkXAN6eBE9/Vampire---4.8_7986',diff_zero_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI093_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n017.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
% 0.14/0.36 % DateTime : Tue Aug 29 17:48:58 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.mkXAN6eBE9/Vampire---4.8_7986
% 0.14/0.36 % (8222)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (8227)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on Vampire---4 for (476ds/0Mi)
% 0.21/0.42 % (8226)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on Vampire---4 for (572ds/0Mi)
% 0.21/0.43 % (8230)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on Vampire---4 for (318ds/0Mi)
% 0.21/0.43 % (8229)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on Vampire---4 for (408ds/0Mi)
% 0.21/0.43 % (8230)First to succeed.
% 0.21/0.43 % (8225)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on Vampire---4 for (1034ds/0Mi)
% 0.21/0.43 % (8230)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43 % (8230)------------------------------
% 0.21/0.43 % (8230)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43 % (8230)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43 % (8230)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (8230)Memory used [KB]: 1023
% 0.21/0.43 % (8230)Time elapsed: 0.005 s
% 0.21/0.43 % (8230)------------------------------
% 0.21/0.43 % (8230)------------------------------
% 0.21/0.43 % (8222)Success in time 0.067 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------