TSTP Solution File: ARI163_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI163_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 10:34:42 EDT 2024
% Result : Theorem 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 12 unt; 1 typ; 0 def)
% Number of atoms : 50 ( 18 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 44 ( 20 ~; 9 |; 12 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 124 ( 31 atm; 21 fun; 52 num; 20 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 1 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 17 !; 3 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(f210,plain,
$false,
inference(evaluation,[],[f186]) ).
tff(f186,plain,
21 != $sum(21,0),
inference(backward_demodulation,[],[f21,f180]) ).
tff(f180,plain,
0 = sK0,
inference(resolution,[],[f177,f19]) ).
tff(f19,plain,
$less(-1,sK0),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( 21 != $sum(21,sK0) )
& $less(sK0,1)
& $less(-1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
tff(f17,plain,
( ? [X0: $int] :
( ( 21 != $sum(21,X0) )
& $less(X0,1)
& $less(-1,X0) )
=> ( ( 21 != $sum(21,sK0) )
& $less(sK0,1)
& $less(-1,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
? [X0: $int] :
( ( 21 != $sum(21,X0) )
& $less(X0,1)
& $less(-1,X0) ),
inference(flattening,[],[f15]) ).
tff(f15,plain,
? [X0: $int] :
( ( 21 != $sum(21,X0) )
& $less(X0,1)
& $less(-1,X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
( ( $less(X0,1)
& $less(-1,X0) )
=> ( 21 = $sum(21,X0) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
( ( $less(X0,1)
& $less(-1,X0) )
=> ( 21 = $sum(21,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_something_0_samething) ).
tff(f177,plain,
( ~ $less(-1,sK0)
| ( 0 = sK0 ) ),
inference(resolution,[],[f176,f43]) ).
tff(f43,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ~ $less(-1,X0) ),
inference(evaluation,[],[f42]) ).
tff(f42,plain,
! [X0: $int] :
( ~ $less(X0,0)
| ~ $less($uminus(1),X0) ),
inference(superposition,[],[f14,f22]) ).
tff(f22,plain,
! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
inference(superposition,[],[f7,f13]) ).
tff(f13,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f7,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_161,[]) ).
tff(f176,plain,
( $less(sK0,0)
| ( 0 = sK0 ) ),
inference(resolution,[],[f10,f85]) ).
tff(f85,plain,
~ $less(0,sK0),
inference(resolution,[],[f78,f20]) ).
tff(f20,plain,
$less(sK0,1),
inference(cnf_transformation,[],[f18]) ).
tff(f78,plain,
! [X0: $int] :
( ~ $less(X0,1)
| ~ $less(0,X0) ),
inference(superposition,[],[f40,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f40,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(1,X0))
| ~ $less(X0,X1) ),
inference(superposition,[],[f14,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f21,plain,
21 != $sum(21,sK0),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI163_1 : TPTP v8.1.2. Released v5.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n016.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 Apr 30 06:07:26 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (31794)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (31798)WARNING: value z3 for option sas not known
% 0.15/0.37 % (31796)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (31800)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 theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (31797)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (31799)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (31798)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 theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (31802)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 theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (31801)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 theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (31796)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (31796)Terminated due to inappropriate strategy.
% 0.15/0.38 % (31796)------------------------------
% 0.15/0.38 % (31796)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (31796)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (31796)Memory used [KB]: 722
% 0.15/0.38 % (31796)Time elapsed: 0.002 s
% 0.15/0.38 % (31796)Instructions burned: 2 (million)
% 0.15/0.38 % (31796)------------------------------
% 0.15/0.38 % (31796)------------------------------
% 0.15/0.38 % (31797)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (31797)Terminated due to inappropriate strategy.
% 0.15/0.38 % (31797)------------------------------
% 0.15/0.38 % (31797)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (31797)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (31797)Memory used [KB]: 722
% 0.15/0.38 % (31797)Time elapsed: 0.002 s
% 0.15/0.38 % (31797)Instructions burned: 2 (million)
% 0.15/0.38 % (31797)------------------------------
% 0.15/0.38 % (31797)------------------------------
% 0.15/0.38 % (31799)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (31799)Terminated due to inappropriate strategy.
% 0.15/0.38 % (31799)------------------------------
% 0.15/0.38 % (31799)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (31799)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (31799)Memory used [KB]: 722
% 0.15/0.38 % (31799)Time elapsed: 0.002 s
% 0.15/0.38 % (31799)Instructions burned: 2 (million)
% 0.15/0.38 % (31799)------------------------------
% 0.15/0.38 % (31799)------------------------------
% 0.22/0.38 % (31801)First to succeed.
% 0.22/0.38 % (31801)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Theorem for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (31801)------------------------------
% 0.22/0.38 % (31801)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.38 % (31801)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (31801)Memory used [KB]: 842
% 0.22/0.38 % (31801)Time elapsed: 0.008 s
% 0.22/0.38 % (31801)Instructions burned: 10 (million)
% 0.22/0.38 % (31801)------------------------------
% 0.22/0.38 % (31801)------------------------------
% 0.22/0.38 % (31794)Success in time 0.023 s
%------------------------------------------------------------------------------