TSTP Solution File: ARI660_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ARI660_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 : n009.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 17:54:31 EDT 2023
% Result : Theorem 0.23s 0.50s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 2 unt; 1 typ; 0 def)
% Number of atoms : 139 ( 39 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 189 ( 97 ~; 80 |; 1 &)
% ( 10 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 159 ( 39 atm; 42 fun; 39 num; 39 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 4 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 39 (; 39 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(f58,plain,
$false,
inference(avatar_smt_refutation,[],[f16,f23,f29,f35,f37,f39,f47,f49,f52,f53,f57]) ).
tff(f57,plain,
( spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f56,f18,f44]) ).
tff(f44,plain,
( spl0_7
<=> $less($product($product(a,a),a),11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f18,plain,
( spl0_3
<=> ! [X2: $int,X3: $int,X4: $int] :
( ( a != X2 )
| $less($product($product(X2,X3),X4),11)
| ( a != X4 )
| ( a != X3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f56,plain,
( $less($product($product(a,a),a),11)
| ~ spl0_3 ),
inference(equality_resolution,[],[f55]) ).
tff(f55,plain,
( ! [X0: $int] :
( ( a != X0 )
| $less($product($product(X0,a),a),11) )
| ~ spl0_3 ),
inference(equality_resolution,[],[f54]) ).
tff(f54,plain,
( ! [X0: $int,X1: $int] :
( ( a != X1 )
| ( a != X0 )
| $less($product($product(X0,X1),a),11) )
| ~ spl0_3 ),
inference(equality_resolution,[],[f19]) ).
tff(f19,plain,
( ! [X2: $int,X3: $int,X4: $int] :
( ( a != X4 )
| $less($product($product(X2,X3),X4),11)
| ( a != X2 )
| ( a != X3 ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
tff(f53,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f50,f14,f32]) ).
tff(f32,plain,
( spl0_6
<=> $less(a,3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f14,plain,
( spl0_2
<=> ! [X1: $int] :
( ( a != X1 )
| ~ $less(X1,3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f50,plain,
( ~ $less(a,3)
| ~ spl0_2 ),
inference(equality_resolution,[],[f15]) ).
tff(f15,plain,
( ! [X1: $int] :
( ( a != X1 )
| ~ $less(X1,3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
tff(f52,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f51]) ).
tff(f51,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f50,f34]) ).
tff(f34,plain,
( $less(a,3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f49,plain,
( spl0_5
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f48,f21,f14,f27]) ).
tff(f27,plain,
( spl0_5
<=> ! [X3: $int] : ( a != X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f21,plain,
( spl0_4
<=> ! [X1: $int] :
( ( a != X1 )
| $less(X1,3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f48,plain,
( ! [X1: $int] : ( a != X1 )
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f15,f22]) ).
tff(f22,plain,
( ! [X1: $int] :
( ( a != X1 )
| $less(X1,3) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f21]) ).
tff(f47,plain,
( ~ spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f42,f11,f44]) ).
tff(f11,plain,
( spl0_1
<=> ! [X2: $int,X3: $int,X4: $int] :
( ( a != X2 )
| ~ $less($product($product(X2,X3),X4),11)
| ( a != X4 )
| ( a != X3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f42,plain,
( ~ $less($product($product(a,a),a),11)
| ~ spl0_1 ),
inference(equality_resolution,[],[f41]) ).
tff(f41,plain,
( ! [X0: $int] :
( ( a != X0 )
| ~ $less($product($product(X0,a),a),11) )
| ~ spl0_1 ),
inference(equality_resolution,[],[f24]) ).
tff(f24,plain,
( ! [X0: $int,X1: $int] :
( ( a != X1 )
| ( a != X0 )
| ~ $less($product($product(X0,X1),a),11) )
| ~ spl0_1 ),
inference(equality_resolution,[],[f12]) ).
tff(f12,plain,
( ! [X2: $int,X3: $int,X4: $int] :
( ( a != X4 )
| ~ $less($product($product(X2,X3),X4),11)
| ( a != X2 )
| ( a != X3 ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
tff(f39,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f38]) ).
tff(f38,plain,
( $false
| ~ spl0_5 ),
inference(equality_resolution,[],[f28]) ).
tff(f28,plain,
( ! [X3: $int] : ( a != X3 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f27]) ).
tff(f37,plain,
( spl0_5
| spl0_5
| spl0_5
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f36,f18,f11,f27,f27,f27]) ).
tff(f36,plain,
( ! [X2: $int,X3: $int,X4: $int] :
( ( a != X2 )
| ( a != X4 )
| ( a != X3 ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f19,f12]) ).
tff(f35,plain,
( spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f30,f21,f32]) ).
tff(f30,plain,
( $less(a,3)
| ~ spl0_4 ),
inference(equality_resolution,[],[f22]) ).
tff(f29,plain,
( spl0_5
| spl0_5
| spl0_5
| ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f25,f18,f11,f27,f27,f27]) ).
tff(f25,plain,
( ! [X2: $int,X3: $int,X4: $int] :
( ( a != X2 )
| ( a != X4 )
| ( a != X3 ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f19,f12]) ).
tff(f23,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f21,f18]) ).
tff(f8,plain,
! [X2: $int,X3: $int,X1: $int,X4: $int] :
( ( a != X1 )
| $less(X1,3)
| ( a != X2 )
| ( a != X3 )
| ( a != X4 )
| $less($product($product(X2,X3),X4),11) ),
inference(theory_flattening,[],[f7]) ).
tff(f7,plain,
( $less(a,3)
| $less($product($product(a,a),a),11) ),
inference(cnf_transformation,[],[f5]) ).
tff(f5,plain,
( ( $less(a,3)
| $less($product($product(a,a),a),11) )
& ( ~ $less(a,3)
| ~ $less($product($product(a,a),a),11) ) ),
inference(nnf_transformation,[],[f4]) ).
tff(f4,plain,
( ~ $less($product($product(a,a),a),11)
<~> ~ $less(a,3) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ~ $less($product($product(a,a),a),11)
<=> ~ $less(a,3) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( $lesseq(11,$product($product(a,a),a))
<=> $lesseq(3,a) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( $lesseq(11,$product($product(a,a),a))
<=> $lesseq(3,a) ),
file('/export/starexec/sandbox2/tmp/tmp.TiSCX4bf2d/Vampire---4.8_19727',conj) ).
tff(f16,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f14,f11]) ).
tff(f9,plain,
! [X2: $int,X3: $int,X1: $int,X4: $int] :
( ( a != X1 )
| ~ $less(X1,3)
| ( a != X2 )
| ( a != X3 )
| ( a != X4 )
| ~ $less($product($product(X2,X3),X4),11) ),
inference(theory_flattening,[],[f6]) ).
tff(f6,plain,
( ~ $less(a,3)
| ~ $less($product($product(a,a),a),11) ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ARI660_1 : TPTP v8.1.2. Released v6.3.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 17:47:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TF0_THM_NEQ_ARI problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.TiSCX4bf2d/Vampire---4.8_19727
% 0.15/0.37 % (19995)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (19997)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)
% 0.23/0.43 % (20002)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)
% 0.23/0.43 % (20003)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)
% 0.23/0.43 % (19998)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)
% 0.23/0.43 % (20004)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)
% 0.23/0.43 % (20001)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on Vampire---4 for (472ds/0Mi)
% 0.23/0.43 % (19999)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)
% 0.23/0.49 % (19998)First to succeed.
% 0.23/0.50 % (19998)Refutation found. Thanks to Tanya!
% 0.23/0.50 % SZS status Theorem for Vampire---4
% 0.23/0.50 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.50 % (19998)------------------------------
% 0.23/0.50 % (19998)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.50 % (19998)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.50 % (19998)Termination reason: Refutation
% 0.23/0.50
% 0.23/0.50 % (19998)Memory used [KB]: 5500
% 0.23/0.50 % (19998)Time elapsed: 0.066 s
% 0.23/0.50 % (19998)------------------------------
% 0.23/0.50 % (19998)------------------------------
% 0.23/0.50 % (19995)Success in time 0.122 s
% 0.23/0.50 20002 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.TiSCX4bf2d/Vampire---4.8_19727
% 0.23/0.50 % (20002)------------------------------
% 0.23/0.50 % (20002)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.50 % (20002)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.50 % (20002)Termination reason: Unknown
% 0.23/0.50 % (20002)Termination phase: Saturation
% 0.23/0.50
% 0.23/0.50 % (20002)Memory used [KB]: 5500
% 0.23/0.50 % (20002)Time elapsed: 0.068 s
% 0.23/0.50 % (20002)------------------------------
% 0.23/0.50 % (20002)------------------------------
% 0.23/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------