TSTP Solution File: ARI735_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n001.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 13:42:54 EDT 2023
% Result : Theorem 0.17s 0.42s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 62 ( 28 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 75 ( 35 ~; 11 |; 17 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 143 ( 30 atm; 31 fun; 56 num; 26 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 : 26 (; 19 !; 7 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f237,plain,
$false,
inference(unit_resulting_resolution,[],[f22,f21,f87,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_147,[]) ).
tff(f87,plain,
~ $less(0,sK0),
inference(evaluation,[],[f74]) ).
tff(f74,plain,
~ $less(0,$sum($sum(-1,sK0),1)),
inference(unit_resulting_resolution,[],[f46,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_164,[]) ).
tff(f46,plain,
$less($sum(-1,sK0),0),
inference(evaluation,[],[f43]) ).
tff(f43,plain,
$less($uminus($uminus($sum(-1,sK0))),0),
inference(unit_resulting_resolution,[],[f14,f25]) ).
tff(f25,plain,
! [X1: $int] :
( ( $sum(-1,sK0) != X1 )
| $less(X1,0) ),
inference(forward_demodulation,[],[f24,f4]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_138,[]) ).
tff(f24,plain,
! [X1: $int] :
( $less(X1,0)
| ( $sum(sK0,-1) != X1 ) ),
inference(evaluation,[],[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.vxu9WEpF8s/Vampire---4.8_4635',formula) ).
tff(f14,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_151,[]) ).
tff(f21,plain,
~ $less(sK0,0),
inference(cnf_transformation,[],[f20]) ).
tff(f22,plain,
0 != sK0,
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ARI735_1 : TPTP v8.1.2. Released v6.4.0.
% 0.00/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.34 % Computer : n001.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Wed Aug 30 18:40:09 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.17/0.40 % (4747)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40 % (4750)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)
% 0.17/0.40 % (4751)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.40 % (4749)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.40 % (4752)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)
% 0.17/0.40 % (4753)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)
% 0.17/0.40 % (4754)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)
% 0.17/0.40 % (4748)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.40 % (4748)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.40 % (4749)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.40 % (4751)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.40 % (4751)Terminated due to inappropriate strategy.
% 0.17/0.40 % (4751)------------------------------
% 0.17/0.40 % (4751)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40 % (4749)Terminated due to inappropriate strategy.
% 0.17/0.40 % (4749)------------------------------
% 0.17/0.40 % (4749)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40 % (4751)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40 % (4751)Termination reason: Inappropriate
% 0.17/0.40 % (4749)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40
% 0.17/0.40 % (4749)Termination reason: Inappropriate
% 0.17/0.40
% 0.17/0.40 % (4751)Memory used [KB]: 767
% 0.17/0.40 % (4749)Memory used [KB]: 767
% 0.17/0.40 % (4751)Time elapsed: 0.003 s
% 0.17/0.40 % (4749)Time elapsed: 0.003 s
% 0.17/0.40 % (4751)------------------------------
% 0.17/0.40 % (4751)------------------------------
% 0.17/0.40 % (4749)------------------------------
% 0.17/0.40 % (4749)------------------------------
% 0.17/0.40 % (4748)Terminated due to inappropriate strategy.
% 0.17/0.40 % (4748)------------------------------
% 0.17/0.40 % (4748)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40 % (4748)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40 % (4748)Termination reason: Inappropriate
% 0.17/0.40
% 0.17/0.40 % (4748)Memory used [KB]: 767
% 0.17/0.40 % (4748)Time elapsed: 0.003 s
% 0.17/0.40 % (4748)------------------------------
% 0.17/0.40 % (4748)------------------------------
% 0.17/0.41 % (4755)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.17/0.41 % (4755)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.41 % (4755)Terminated due to inappropriate strategy.
% 0.17/0.41 % (4755)------------------------------
% 0.17/0.41 % (4755)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.41 % (4757)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)
% 0.17/0.41 % (4755)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.41 % (4755)Termination reason: Inappropriate
% 0.17/0.41
% 0.17/0.41 % (4756)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)
% 0.17/0.41 % (4755)Memory used [KB]: 767
% 0.17/0.41 % (4755)Time elapsed: 0.001 s
% 0.17/0.41 % (4755)------------------------------
% 0.17/0.41 % (4755)------------------------------
% 0.17/0.41 % (4758)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)
% 0.17/0.41 % (4756)First to succeed.
% 0.17/0.42 % (4756)Refutation found. Thanks to Tanya!
% 0.17/0.42 % SZS status Theorem for Vampire---4
% 0.17/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.42 % (4756)------------------------------
% 0.17/0.42 % (4756)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.42 % (4756)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.42 % (4756)Termination reason: Refutation
% 0.17/0.42
% 0.17/0.42 % (4756)Memory used [KB]: 1023
% 0.17/0.42 % (4756)Time elapsed: 0.007 s
% 0.17/0.42 % (4756)------------------------------
% 0.17/0.42 % (4756)------------------------------
% 0.17/0.42 % (4747)Success in time 0.072 s
% 0.17/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------