TSTP Solution File: ARI735_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI735_1 : TPTP v8.1.2. Released v6.4.0.
% 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 : 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 : Wed Aug 30 17:54:48 EDT 2023
% Result : Theorem 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 58 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 71 ( 33 ~; 9 |; 17 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 133 ( 29 atm; 27 fun; 54 num; 23 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 23 (; 16 !; 7 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f73,plain,
$false,
inference(unit_resulting_resolution,[],[f22,f21,f42,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_147,[]) ).
tff(f42,plain,
~ $less(0,sK0),
inference(evaluation,[],[f39]) ).
tff(f39,plain,
~ $less(0,$sum($sum(-1,sK0),1)),
inference(unit_resulting_resolution,[],[f26,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_164,[]) ).
tff(f26,plain,
$less($sum(-1,sK0),0),
inference(forward_demodulation,[],[f25,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f25,plain,
$less($sum(sK0,-1),0),
inference(evaluation,[],[f24]) ).
tff(f24,plain,
$less($sum(sK0,$uminus(1)),0),
inference(equality_resolution,[],[f23]) ).
tff(f23,plain,
! [X1: $int] :
( $less(X1,0)
| ( $sum(sK0,$uminus(1)) != X1 ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ! [X1: $int] :
( $less(X1,0)
| ( $sum(sK0,$uminus(1)) != X1 ) )
& ( 0 != sK0 )
& ~ $less(sK0,0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int] :
( ! [X1: $int] :
( $less(X1,0)
| ( $sum(X0,$uminus(1)) != X1 ) )
& ( 0 != X0 )
& ~ $less(X0,0) )
=> ( ! [X1: $int] :
( $less(X1,0)
| ( $sum(sK0,$uminus(1)) != X1 ) )
& ( 0 != sK0 )
& ~ $less(sK0,0) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int] :
( ! [X1: $int] :
( $less(X1,0)
| ( $sum(X0,$uminus(1)) != X1 ) )
& ( 0 != X0 )
& ~ $less(X0,0) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
? [X0: $int] :
( ! [X1: $int] :
( $less(X1,0)
| ( $sum(X0,$uminus(1)) != X1 ) )
& ( 0 != X0 )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( 0 != X0 )
=> ? [X1: $int] :
( ~ $less(X1,0)
& ( $sum(X0,$uminus(1)) = X1 ) ) ) ),
inference(true_and_false_elimination,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ( ( ( 0 != X0 )
=> ? [X1: $int] :
( ~ $less(X1,0)
& ( $sum(X0,$uminus(1)) = X1 ) ) )
& ( ( 0 = X0 )
=> $true ) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( $greatereq(X0,0)
=> ( ( ( 0 != X0 )
=> ? [X1: $int] :
( $greatereq(X1,0)
& ( $difference(X0,1) = X1 ) ) )
& ( ( 0 = X0 )
=> $true ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( $greatereq(X0,0)
=> ( ( ( 0 != X0 )
=> ? [X1: $int] :
( $greatereq(X1,0)
& ( $difference(X0,1) = X1 ) ) )
& ( ( 0 = X0 )
=> $true ) ) ),
file('/export/starexec/sandbox/tmp/tmp.gCAnnygfDQ/Vampire---4.8_16102',formula) ).
tff(f21,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f20]) ).
tff(f22,plain,
0 != sK0,
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ARI735_1 : TPTP v8.1.2. Released v6.4.0.
% 0.02/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 19:10:01 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a TF0_THM_EQU_ARI problem
% 0.11/0.32 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.gCAnnygfDQ/Vampire---4.8_16102
% 0.11/0.32 % (16210)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (16216)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)
% 0.16/0.38 % (16214)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.16/0.38 % (16217)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on Vampire---4 for (280ds/0Mi)
% 0.16/0.38 % (16211)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)
% 0.16/0.38 % (16215)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)
% 0.16/0.38 % (16212)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)
% 0.16/0.38 % (16213)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)
% 0.16/0.38 % (16217)First to succeed.
% 0.16/0.39 % (16217)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Theorem for Vampire---4
% 0.16/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.39 % (16217)------------------------------
% 0.16/0.39 % (16217)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.39 % (16217)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.39 % (16217)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (16217)Memory used [KB]: 1023
% 0.16/0.39 % (16217)Time elapsed: 0.005 s
% 0.16/0.39 % (16217)------------------------------
% 0.16/0.39 % (16217)------------------------------
% 0.16/0.39 % (16210)Success in time 0.058 s
% 0.16/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------