TSTP Solution File: ARI669_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI669_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 : n023.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 : Fri Sep 1 13:42:45 EDT 2023
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 42 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 98 ( 74 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 99 ( 40 ~; 46 |; 6 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 158 ( 0 atm; 70 fun; 84 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 4 (; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
b: $int ).
tff(func_def_2,type,
c: $int ).
tff(f745,plain,
$false,
inference(avatar_smt_refutation,[],[f62,f250,f298,f744]) ).
tff(f744,plain,
( spl0_4
| spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f694,f295,f247,f59,f741]) ).
tff(f741,plain,
( spl0_4
<=> ( 0 = $product($product(b,$product(a,b)),c) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f59,plain,
( spl0_1
<=> ( b = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f247,plain,
( spl0_2
<=> ( a = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f295,plain,
( spl0_3
<=> ( c = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f694,plain,
( ( 0 = $product($product(b,$product(a,b)),c) )
| spl0_1
| spl0_2
| spl0_3 ),
inference(forward_demodulation,[],[f693,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f693,plain,
( ( $product($product($product(a,b),b),c) = 0 )
| spl0_1
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f692,f297]) ).
tff(f297,plain,
( ( c != 0 )
| spl0_3 ),
inference(avatar_component_clause,[],[f295]) ).
tff(f692,plain,
( ( c = 0 )
| ( $product($product($product(a,b),b),c) = 0 )
| spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f691,f61]) ).
tff(f61,plain,
( ( b != 0 )
| spl0_1 ),
inference(avatar_component_clause,[],[f59]) ).
tff(f691,plain,
( ( b = 0 )
| ( c = 0 )
| ( $product($product($product(a,b),b),c) = 0 )
| spl0_2 ),
inference(subsumption_resolution,[],[f24,f249]) ).
tff(f249,plain,
( ( a != 0 )
| spl0_2 ),
inference(avatar_component_clause,[],[f247]) ).
tff(f24,plain,
( ( a = 0 )
| ( b = 0 )
| ( c = 0 )
| ( $product($product($product(a,b),b),c) = 0 ) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
( ( ( ( a != 0 )
& ( b != 0 )
& ( c != 0 ) )
| ( $product($product($product(a,b),b),c) != 0 ) )
& ( ( a = 0 )
| ( b = 0 )
| ( c = 0 )
| ( $product($product($product(a,b),b),c) = 0 ) ) ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
( ( ( ( a != 0 )
& ( b != 0 )
& ( c != 0 ) )
| ( $product($product($product(a,b),b),c) != 0 ) )
& ( ( a = 0 )
| ( b = 0 )
| ( c = 0 )
| ( $product($product($product(a,b),b),c) = 0 ) ) ),
inference(nnf_transformation,[],[f21]) ).
tff(f21,plain,
( ( $product($product($product(a,b),b),c) = 0 )
<~> ( ( a = 0 )
| ( b = 0 )
| ( c = 0 ) ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( $product($product($product(a,b),b),c) = 0 )
<=> ( ( a = 0 )
| ( b = 0 )
| ( c = 0 ) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( $product($product($product(a,b),b),c) = 0 )
<=> ( ( a = 0 )
| ( b = 0 )
| ( c = 0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iJIe4a7qAR/Vampire---4.8_2467',conj) ).
tff(f298,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f293,f295]) ).
tff(f293,plain,
c != 0,
inference(subsumption_resolution,[],[f31,f17]) ).
tff(f17,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_152,[]) ).
tff(f31,plain,
( ( c != 0 )
| ( 0 != $product($product($product(a,b),b),0) ) ),
inference(inner_rewriting,[],[f25]) ).
tff(f25,plain,
( ( c != 0 )
| ( $product($product($product(a,b),b),c) != 0 ) ),
inference(cnf_transformation,[],[f23]) ).
tff(f250,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f245,f247]) ).
tff(f245,plain,
a != 0,
inference(subsumption_resolution,[],[f244,f45]) ).
tff(f45,plain,
! [X1: $int] : ( 0 = $product(0,X1) ),
inference(superposition,[],[f14,f17]) ).
tff(f244,plain,
( ( 0 != $product(0,c) )
| ( a != 0 ) ),
inference(forward_demodulation,[],[f243,f17]) ).
tff(f243,plain,
( ( 0 != $product($product(b,0),c) )
| ( a != 0 ) ),
inference(forward_demodulation,[],[f242,f45]) ).
tff(f242,plain,
( ( 0 != $product($product(b,$product(0,b)),c) )
| ( a != 0 ) ),
inference(forward_demodulation,[],[f28,f14]) ).
tff(f28,plain,
( ( a != 0 )
| ( 0 != $product($product($product(0,b),b),c) ) ),
inference(inner_rewriting,[],[f27]) ).
tff(f27,plain,
( ( a != 0 )
| ( $product($product($product(a,b),b),c) != 0 ) ),
inference(cnf_transformation,[],[f23]) ).
tff(f62,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f57,f59]) ).
tff(f57,plain,
b != 0,
inference(subsumption_resolution,[],[f56,f45]) ).
tff(f56,plain,
( ( 0 != $product(0,c) )
| ( b != 0 ) ),
inference(forward_demodulation,[],[f30,f45]) ).
tff(f30,plain,
( ( b != 0 )
| ( 0 != $product($product(0,a),c) ) ),
inference(evaluation,[],[f29]) ).
tff(f29,plain,
( ( b != 0 )
| ( 0 != $product($product($product(a,0),0),c) ) ),
inference(inner_rewriting,[],[f26]) ).
tff(f26,plain,
( ( b != 0 )
| ( $product($product($product(a,b),b),c) != 0 ) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI669_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
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 30 18:22:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.42 % (2719)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2721)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (2722)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (2723)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.42 % (2724)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (2725)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.42 % (2721)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.42 % (2721)Terminated due to inappropriate strategy.
% 0.22/0.42 % (2721)------------------------------
% 0.22/0.42 % (2721)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (2721)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (2721)Termination reason: Inappropriate
% 0.22/0.42
% 0.22/0.42 % (2721)Memory used [KB]: 767
% 0.22/0.42 % (2721)Time elapsed: 0.002 s
% 0.22/0.42 % (2721)------------------------------
% 0.22/0.42 % (2721)------------------------------
% 0.22/0.42 % (2726)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.42 % (2722)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.42 % (2722)Terminated due to inappropriate strategy.
% 0.22/0.42 % (2722)------------------------------
% 0.22/0.42 % (2722)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (2722)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (2722)Termination reason: Inappropriate
% 0.22/0.42
% 0.22/0.42 % (2727)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.42 % (2722)Memory used [KB]: 767
% 0.22/0.42 % (2722)Time elapsed: 0.002 s
% 0.22/0.42 % (2722)------------------------------
% 0.22/0.42 % (2722)------------------------------
% 0.22/0.42 % (2724)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.42 % (2724)Terminated due to inappropriate strategy.
% 0.22/0.42 % (2724)------------------------------
% 0.22/0.42 % (2724)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (2724)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (2724)Termination reason: Inappropriate
% 0.22/0.42
% 0.22/0.42 % (2724)Memory used [KB]: 767
% 0.22/0.42 % (2724)Time elapsed: 0.002 s
% 0.22/0.42 % (2724)------------------------------
% 0.22/0.42 % (2724)------------------------------
% 0.22/0.43 % (2728)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.22/0.43 % (2729)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.22/0.43 % (2730)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.22/0.43 % (2728)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.43 % (2728)Terminated due to inappropriate strategy.
% 0.22/0.43 % (2728)------------------------------
% 0.22/0.43 % (2728)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (2728)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (2728)Termination reason: Inappropriate
% 0.22/0.43
% 0.22/0.43 % (2728)Memory used [KB]: 767
% 0.22/0.43 % (2728)Time elapsed: 0.003 s
% 0.22/0.43 % (2728)------------------------------
% 0.22/0.43 % (2728)------------------------------
% 0.22/0.43 % (2731)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on Vampire---4 for (354ds/0Mi)
% 0.22/0.50 % (2723)First to succeed.
% 0.22/0.50 % (2723)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for Vampire---4
% 0.22/0.50 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.50 % (2723)------------------------------
% 0.22/0.50 % (2723)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.50 % (2723)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.50 % (2723)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (2723)Memory used [KB]: 5756
% 0.22/0.50 % (2723)Time elapsed: 0.081 s
% 0.22/0.50 % (2723)------------------------------
% 0.22/0.50 % (2723)------------------------------
% 0.22/0.50 % (2719)Success in time 0.14 s
% 0.22/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------