TSTP Solution File: ARI679_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI679_1 : TPTP v8.1.2. Released v6.3.0.
% 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 : n006.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 17:54:35 EDT 2023
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 61 ( 12 unt; 2 typ; 0 def)
% Number of atoms : 164 ( 55 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 218 ( 113 ~; 90 |; 1 &)
% ( 13 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 341 ( 54 atm; 128 fun; 104 num; 55 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 2 usr; 6 con; 0-2 aty)
% Number of variables : 55 (; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
d: $int ).
tff(func_def_1,type,
c: $int ).
tff(f80,plain,
$false,
inference(avatar_smt_refutation,[],[f26,f33,f39,f45,f52,f60,f64,f67,f69,f79]) ).
tff(f79,plain,
( spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f74,f31,f76]) ).
tff(f76,plain,
( spl0_10
<=> $less($product(c,$sum(d,-3)),$product(2,$sum(d,-3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
tff(f31,plain,
( spl0_4
<=> ! [X2: $int,X1: $int,X3: $int] :
( ( c != X1 )
| $less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3)))
| ( d != X3 )
| ( d != X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f74,plain,
( $less($product(c,$sum(d,-3)),$product(2,$sum(d,-3)))
| ~ spl0_4 ),
inference(equality_resolution,[],[f73]) ).
tff(f73,plain,
( ! [X0: $int] :
( ( d != X0 )
| $less($product(c,$sum(X0,-3)),$product(2,$sum(d,-3))) )
| ~ spl0_4 ),
inference(equality_resolution,[],[f72]) ).
tff(f72,plain,
( ! [X0: $int,X1: $int] :
( ( d != X1 )
| $less($product(c,$sum(X0,-3)),$product(2,$sum(X1,-3)))
| ( d != X0 ) )
| ~ spl0_4 ),
inference(equality_resolution,[],[f32]) ).
tff(f32,plain,
( ! [X2: $int,X3: $int,X1: $int] :
( ( c != X1 )
| $less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3)))
| ( d != X3 )
| ( d != X2 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f31]) ).
tff(f69,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f68]) ).
tff(f68,plain,
( $false
| ~ spl0_9 ),
inference(equality_resolution,[],[f59]) ).
tff(f59,plain,
( ! [X4: $int] : ( c != X4 )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f58]) ).
tff(f58,plain,
( spl0_9
<=> ! [X4: $int] : ( c != X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
tff(f67,plain,
( spl0_8
| spl0_8
| spl0_9
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f66,f31,f24,f58,f55,f55]) ).
tff(f55,plain,
( spl0_8
<=> ! [X5: $int] : ( d != X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
tff(f24,plain,
( spl0_2
<=> ! [X2: $int,X1: $int,X3: $int] :
( ( c != X1 )
| ~ $less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3)))
| ( d != X3 )
| ( d != X2 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f66,plain,
( ! [X2: $int,X3: $int,X1: $int] :
( ( c != X1 )
| ( d != X3 )
| ( d != X2 ) )
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f32,f25]) ).
tff(f25,plain,
( ! [X2: $int,X3: $int,X1: $int] :
( ( c != X1 )
| ~ $less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3)))
| ( d != X3 )
| ( d != X2 ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f64,plain,
( ~ spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f63]) ).
tff(f63,plain,
( $false
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f62,f51]) ).
tff(f51,plain,
( ~ $less($product(c,d),6)
| spl0_7 ),
inference(avatar_component_clause,[],[f49]) ).
tff(f49,plain,
( spl0_7
<=> $less($product(c,d),6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f62,plain,
( $less($product(c,d),6)
| ~ spl0_3 ),
inference(equality_resolution,[],[f61]) ).
tff(f61,plain,
( ! [X0: $int] :
( ( d != X0 )
| $less($product(c,X0),6) )
| ~ spl0_3 ),
inference(equality_resolution,[],[f29]) ).
tff(f29,plain,
( ! [X4: $int,X5: $int] :
( ( c != X4 )
| $less($product(X4,X5),6)
| ( d != X5 ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f28,plain,
( spl0_3
<=> ! [X4: $int,X5: $int] :
( ( c != X4 )
| $less($product(X4,X5),6)
| ( d != X5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f60,plain,
( spl0_8
| spl0_9
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f53,f28,f21,f58,f55]) ).
tff(f21,plain,
( spl0_1
<=> ! [X4: $int,X5: $int] :
( ( c != X4 )
| ~ $less($product(X4,X5),6)
| ( d != X5 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f53,plain,
( ! [X4: $int,X5: $int] :
( ( c != X4 )
| ( d != X5 ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f29,f22]) ).
tff(f22,plain,
( ! [X4: $int,X5: $int] :
( ( c != X4 )
| ~ $less($product(X4,X5),6)
| ( d != X5 ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
tff(f52,plain,
( ~ spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f47,f21,f49]) ).
tff(f47,plain,
( ~ $less($product(c,d),6)
| ~ spl0_1 ),
inference(equality_resolution,[],[f46]) ).
tff(f46,plain,
( ! [X0: $int] :
( ( d != X0 )
| ~ $less($product(c,X0),6) )
| ~ spl0_1 ),
inference(equality_resolution,[],[f22]) ).
tff(f45,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f40,f42]) ).
tff(f42,plain,
( spl0_6
<=> $less(d,3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f40,plain,
~ $less(d,3),
inference(equality_resolution,[],[f17]) ).
tff(f17,plain,
! [X1: $int] :
( ( d != X1 )
| ~ $less(X1,3) ),
inference(theory_flattening,[],[f13]) ).
tff(f13,plain,
~ $less(d,3),
inference(cnf_transformation,[],[f7]) ).
tff(f7,plain,
~ $less(d,3),
inference(theory_normalization,[],[f1]) ).
tff(f1,axiom,
$lesseq(3,d),
file('/export/starexec/sandbox/tmp/tmp.4E4Ju4fEfh/Vampire---4.8_5557',conj) ).
tff(f39,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f34,f36]) ).
tff(f36,plain,
( spl0_5
<=> $less(c,2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f34,plain,
~ $less(c,2),
inference(equality_resolution,[],[f16]) ).
tff(f16,plain,
! [X1: $int] :
( ( c != X1 )
| ~ $less(X1,2) ),
inference(theory_flattening,[],[f12]) ).
tff(f12,plain,
~ $less(c,2),
inference(cnf_transformation,[],[f6]) ).
tff(f6,plain,
~ $less(c,2),
inference(theory_normalization,[],[f2]) ).
tff(f2,axiom,
$lesseq(2,c),
file('/export/starexec/sandbox/tmp/tmp.4E4Ju4fEfh/Vampire---4.8_5557',conj_001) ).
tff(f33,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f31,f28]) ).
tff(f18,plain,
! [X2: $int,X3: $int,X1: $int,X4: $int,X5: $int] :
( ( c != X1 )
| ( d != X2 )
| ( d != X3 )
| $less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3)))
| ( c != X4 )
| ( d != X5 )
| $less($product(X4,X5),6) ),
inference(evaluation,[],[f14]) ).
tff(f14,plain,
! [X2: $int,X3: $int,X1: $int,X4: $int,X5: $int] :
( ( c != X1 )
| ( d != X2 )
| ( d != X3 )
| $less($product(X1,$sum(X2,$uminus(3))),$product(2,$sum(X3,$uminus(3))))
| ( c != X4 )
| ( d != X5 )
| $less($product(X4,X5),$product(2,3)) ),
inference(theory_flattening,[],[f11]) ).
tff(f11,plain,
( $less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3))))
| $less($product(c,d),$product(2,3)) ),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
( ( $less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3))))
| $less($product(c,d),$product(2,3)) )
& ( ~ $less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3))))
| ~ $less($product(c,d),$product(2,3)) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,plain,
( ~ $less($product(c,d),$product(2,3))
<~> ~ $less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3)))) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,plain,
~ ( ~ $less($product(c,d),$product(2,3))
<=> ~ $less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3)))) ),
inference(theory_normalization,[],[f4]) ).
tff(f4,negated_conjecture,
~ ( $lesseq($product(2,3),$product(c,d))
<=> $lesseq($product(2,$difference(d,3)),$product(c,$difference(d,3))) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
( $lesseq($product(2,3),$product(c,d))
<=> $lesseq($product(2,$difference(d,3)),$product(c,$difference(d,3))) ),
file('/export/starexec/sandbox/tmp/tmp.4E4Ju4fEfh/Vampire---4.8_5557',conj_002) ).
tff(f26,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f24,f21]) ).
tff(f19,plain,
! [X2: $int,X3: $int,X1: $int,X4: $int,X5: $int] :
( ( c != X1 )
| ( d != X2 )
| ( d != X3 )
| ~ $less($product(X1,$sum(X2,-3)),$product(2,$sum(X3,-3)))
| ( c != X4 )
| ( d != X5 )
| ~ $less($product(X4,X5),6) ),
inference(evaluation,[],[f15]) ).
tff(f15,plain,
! [X2: $int,X3: $int,X1: $int,X4: $int,X5: $int] :
( ( c != X1 )
| ( d != X2 )
| ( d != X3 )
| ~ $less($product(X1,$sum(X2,$uminus(3))),$product(2,$sum(X3,$uminus(3))))
| ( c != X4 )
| ( d != X5 )
| ~ $less($product(X4,X5),$product(2,3)) ),
inference(theory_flattening,[],[f10]) ).
tff(f10,plain,
( ~ $less($product(c,$sum(d,$uminus(3))),$product(2,$sum(d,$uminus(3))))
| ~ $less($product(c,d),$product(2,3)) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI679_1 : TPTP v8.1.2. Released v6.3.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 17:54:51 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_NEQ_ARI problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.4E4Ju4fEfh/Vampire---4.8_5557
% 0.15/0.36 % (5700)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (5705)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.22/0.42 % (5704)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)
% 0.22/0.42 % (5706)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)
% 0.22/0.42 % (5703)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)
% 0.22/0.42 % (5708)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)
% 0.22/0.42 % (5702)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)
% 0.22/0.42 % (5709)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)
% 0.22/0.48 % (5703)First to succeed.
% 0.22/0.48 % (5703)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for Vampire---4
% 0.22/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.48 % (5703)------------------------------
% 0.22/0.48 % (5703)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48 % (5703)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48 % (5703)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (5703)Memory used [KB]: 5500
% 0.22/0.48 % (5703)Time elapsed: 0.061 s
% 0.22/0.48 % (5703)------------------------------
% 0.22/0.48 % (5703)------------------------------
% 0.22/0.48 % (5700)Success in time 0.122 s
% 0.22/0.49 5706 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.4E4Ju4fEfh/Vampire---4.8_5557
% 0.22/0.49 % (5706)------------------------------
% 0.22/0.49 % (5706)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 5705 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.4E4Ju4fEfh/Vampire---4.8_5557
% 0.22/0.49 % (5705)------------------------------
% 0.22/0.49 % (5705)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (5706)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (5705)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (5706)Termination reason: Unknown
% 0.22/0.49 % (5705)Termination reason: Unknown
% 0.22/0.49 % (5705)Termination phase: Saturation
% 0.22/0.49 % (5706)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (5705)Memory used [KB]: 1023
% 0.22/0.49 % (5706)Memory used [KB]: 5500
% 0.22/0.49 % (5705)Time elapsed: 0.066 s
% 0.22/0.49 % (5706)Time elapsed: 0.066 s
% 0.22/0.49 % (5705)------------------------------
% 0.22/0.49 % (5705)------------------------------
% 0.22/0.49 % (5706)------------------------------
% 0.22/0.49 % (5706)------------------------------
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------