TSTP Solution File: ARI591_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI591_1 : TPTP v8.1.2. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 10:35:39 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 49 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 49 ( 22 ~; 22 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 114 ( 34 atm; 12 fun; 39 num; 29 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 : 5 ( 1 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 25 !; 4 ?; 29 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_5,type,
sK0: $int ).
tff(f151,plain,
$false,
inference(evaluation,[],[f146]) ).
tff(f146,plain,
( ( 1 = $sum(1,1) )
| ~ $less($sum(1,1),3) ),
inference(resolution,[],[f131,f81]) ).
tff(f81,plain,
! [X0: $int] :
( $less(X0,1)
| ( 1 = X0 )
| ~ $less(X0,3) ),
inference(forward_demodulation,[],[f77,f41]) ).
tff(f41,plain,
1 = sK0,
inference(evaluation,[],[f37]) ).
tff(f37,plain,
( ~ $less($sum(0,1),3)
| ( sK0 = $sum(0,1) ) ),
inference(resolution,[],[f31,f18]) ).
tff(f18,plain,
! [X1: $int] :
( ~ $less(0,X1)
| ~ $less(X1,3)
| ( sK0 = X1 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X1: $int] :
( ( sK0 = X1 )
| ~ $less(X1,3)
| ~ $less(0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).
tff(f16,plain,
( ? [X0: $int] :
! [X1: $int] :
( ( X0 = X1 )
| ~ $less(X1,3)
| ~ $less(0,X1) )
=> ! [X1: $int] :
( ( sK0 = X1 )
| ~ $less(X1,3)
| ~ $less(0,X1) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
? [X0: $int] :
! [X1: $int] :
( ( X0 = X1 )
| ~ $less(X1,3)
| ~ $less(0,X1) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $int] :
? [X1: $int] :
( ( X0 != X1 )
& $less(X1,3)
& $less(0,X1) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $int] :
? [X1: $int] :
( ( X0 != X1 )
& $less(X1,3)
& $less(0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists_X_0_3_noteq_Y) ).
tff(f31,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
tff(f77,plain,
! [X0: $int] :
( $less(X0,1)
| ~ $less(X0,3)
| ( sK0 = X0 ) ),
inference(resolution,[],[f68,f18]) ).
tff(f68,plain,
! [X0: $int] :
( $less(X0,1)
| $less(0,X0) ),
inference(superposition,[],[f33,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f33,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f12,f3]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f131,plain,
! [X0: $int] : ~ $less($sum(X0,1),X0),
inference(resolution,[],[f120,f8]) ).
tff(f120,plain,
! [X0: $int,X1: $int] :
( $less(X0,$sum(X1,1))
| ~ $less(X0,X1) ),
inference(resolution,[],[f9,f31]) ).
tff(f9,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ARI591_1 : TPTP v8.1.2. Released v5.1.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 05:45:26 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (8718)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (8721)WARNING: value z3 for option sas not known
% 0.12/0.36 % (8719)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 % (8722)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (8725)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)
% 0.12/0.36 % (8720)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (8722)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36 % (8719)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36 % (8722)Terminated due to inappropriate strategy.
% 0.12/0.36 % (8722)------------------------------
% 0.12/0.36 % (8722)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.36 % (8719)Terminated due to inappropriate strategy.
% 0.12/0.36 % (8719)------------------------------
% 0.12/0.36 % (8719)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.36 % (8719)Termination reason: Inappropriate
% 0.12/0.36 % (8722)Termination reason: Inappropriate
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % (8719)Memory used [KB]: 722
% 0.12/0.36 % (8722)Memory used [KB]: 722
% 0.12/0.36 % (8719)Time elapsed: 0.002 s
% 0.12/0.36 % (8722)Time elapsed: 0.002 s
% 0.12/0.36 % (8719)Instructions burned: 2 (million)
% 0.12/0.36 % (8722)Instructions burned: 2 (million)
% 0.12/0.36 % (8719)------------------------------
% 0.12/0.36 % (8719)------------------------------
% 0.12/0.36 % (8722)------------------------------
% 0.12/0.36 % (8722)------------------------------
% 0.12/0.36 % (8720)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.12/0.36 % (8720)Terminated due to inappropriate strategy.
% 0.12/0.36 % (8720)------------------------------
% 0.12/0.36 % (8720)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.36 % (8720)Termination reason: Inappropriate
% 0.12/0.36
% 0.12/0.36 % (8721)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)
% 0.12/0.36 % (8720)Memory used [KB]: 722
% 0.12/0.36 % (8720)Time elapsed: 0.002 s
% 0.12/0.36 % (8720)Instructions burned: 2 (million)
% 0.12/0.36 % (8720)------------------------------
% 0.12/0.36 % (8720)------------------------------
% 0.12/0.36 % (8723)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)
% 0.12/0.36 % (8724)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)
% 0.12/0.37 % (8721)First to succeed.
% 0.12/0.37 % (8721)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (8721)------------------------------
% 0.12/0.37 % (8721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37 % (8721)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (8721)Memory used [KB]: 832
% 0.12/0.37 % (8721)Time elapsed: 0.007 s
% 0.12/0.37 % (8721)Instructions burned: 8 (million)
% 0.12/0.37 % (8721)------------------------------
% 0.12/0.37 % (8721)------------------------------
% 0.12/0.37 % (8718)Success in time 0.02 s
%------------------------------------------------------------------------------