TSTP Solution File: ARI611_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI611_1 : TPTP v8.1.0. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n003.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 31 15:48:42 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 5 unt; 2 typ; 0 def)
% Number of atoms : 115 ( 6 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 133 ( 40 ~; 42 |; 38 &)
% ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 172 ( 61 atm; 4 fun; 72 num; 35 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 0 usr; 6 con; 0-2 aty)
% Number of variables : 35 ( 32 !; 3 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_1,type,
p: $int > $o ).
tff(pred_def_2,type,
q: $int > $o ).
tff(f205,plain,
$false,
inference(evaluation,[],[f204]) ).
tff(f204,plain,
( ( 5 = 9 )
| $less(15,9)
| ( 15 = 9 )
| $less(9,5) ),
inference(resolution,[],[f203,f85]) ).
tff(f85,plain,
! [X0: $int] :
( p(X0)
| $less(X0,5)
| $less(15,X0)
| ( 15 = X0 )
| ( 5 = X0 ) ),
inference(resolution,[],[f76,f10]) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f76,plain,
! [X0: $int] :
( ~ $less(X0,15)
| ( 5 = X0 )
| p(X0)
| $less(X0,5) ),
inference(resolution,[],[f10,f23]) ).
tff(f23,plain,
! [X2: $int] :
( ~ $less(5,X2)
| ~ $less(X2,15)
| p(X2) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ! [X0: $int] :
( ( q(X0)
| ~ $less(8,X0)
| ~ $less(X0,18) )
& ( ( $less(8,X0)
& $less(X0,18) )
| ~ q(X0) ) )
& ! [X1: $int] :
( ~ q(X1)
| ~ p(X1) )
& ! [X2: $int] :
( ( p(X2)
| ~ $less(5,X2)
| ~ $less(X2,15) )
& ( ( $less(5,X2)
& $less(X2,15) )
| ~ p(X2) ) ) ),
inference(rectify,[],[f19]) ).
tff(f19,plain,
( ! [X1: $int] :
( ( q(X1)
| ~ $less(8,X1)
| ~ $less(X1,18) )
& ( ( $less(8,X1)
& $less(X1,18) )
| ~ q(X1) ) )
& ! [X2: $int] :
( ~ q(X2)
| ~ p(X2) )
& ! [X0: $int] :
( ( p(X0)
| ~ $less(5,X0)
| ~ $less(X0,15) )
& ( ( $less(5,X0)
& $less(X0,15) )
| ~ p(X0) ) ) ),
inference(flattening,[],[f18]) ).
tff(f18,plain,
( ! [X1: $int] :
( ( q(X1)
| ~ $less(8,X1)
| ~ $less(X1,18) )
& ( ( $less(8,X1)
& $less(X1,18) )
| ~ q(X1) ) )
& ! [X2: $int] :
( ~ q(X2)
| ~ p(X2) )
& ! [X0: $int] :
( ( p(X0)
| ~ $less(5,X0)
| ~ $less(X0,15) )
& ( ( $less(5,X0)
& $less(X0,15) )
| ~ p(X0) ) ) ),
inference(nnf_transformation,[],[f17]) ).
tff(f17,plain,
( ! [X1: $int] :
( q(X1)
<=> ( $less(8,X1)
& $less(X1,18) ) )
& ! [X2: $int] :
( ~ q(X2)
| ~ p(X2) )
& ! [X0: $int] :
( p(X0)
<=> ( $less(5,X0)
& $less(X0,15) ) ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( ! [X2: $int] :
( ~ q(X2)
| ~ p(X2) )
& ! [X1: $int] :
( q(X1)
<=> ( $less(8,X1)
& $less(X1,18) ) )
& ! [X0: $int] :
( p(X0)
<=> ( $less(5,X0)
& $less(X0,15) ) ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ( ( ! [X1: $int] :
( q(X1)
<=> ( $less(8,X1)
& $less(X1,18) ) )
& ! [X0: $int] :
( p(X0)
<=> ( $less(5,X0)
& $less(X0,15) ) ) )
=> ? [X2: $int] :
( p(X2)
& q(X2) ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X0: $int] :
( p(X0)
<=> ( $less(5,X0)
& $less(X0,15) ) )
& ! [X0: $int] :
( q(X0)
<=> ( $less(X0,18)
& $less(8,X0) ) ) )
=> ? [X0: $int] :
( p(X0)
& q(X0) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X0: $int] :
( p(X0)
<=> ( $less(5,X0)
& $less(X0,15) ) )
& ! [X0: $int] :
( q(X0)
<=> ( $less(X0,18)
& $less(8,X0) ) ) )
=> ? [X0: $int] :
( p(X0)
& q(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interv_5_15_and_8_18_intersect) ).
tff(f203,plain,
~ p(9),
inference(resolution,[],[f184,f24]) ).
tff(f24,plain,
! [X1: $int] :
( ~ q(X1)
| ~ p(X1) ),
inference(cnf_transformation,[],[f20]) ).
tff(f184,plain,
q(9),
inference(evaluation,[],[f174]) ).
tff(f174,plain,
( ~ $less($sum(8,1),18)
| q($sum(8,1)) ),
inference(resolution,[],[f48,f27]) ).
tff(f27,plain,
! [X0: $int] :
( ~ $less(8,X0)
| q(X0)
| ~ $less(X0,18) ),
inference(cnf_transformation,[],[f20]) ).
tff(f48,plain,
! [X2: $int] : $less(X2,$sum(X2,1)),
inference(resolution,[],[f12,f8]) ).
tff(f8,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f12,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI611=1 : TPTP v8.1.0. Released v5.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n003.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 : Mon Aug 29 15:51:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (4216)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.49 % (4209)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.49 % (4209)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.49 % (4216)Instruction limit reached!
% 0.19/0.49 % (4216)------------------------------
% 0.19/0.49 % (4216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (4209)Terminated due to inappropriate strategy.
% 0.19/0.49 % (4209)------------------------------
% 0.19/0.49 % (4209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (4228)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.50 % (4224)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.19/0.50 % (4209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (4209)Termination reason: Inappropriate
% 0.19/0.50
% 0.19/0.50 % (4209)Memory used [KB]: 895
% 0.19/0.50 % (4209)Time elapsed: 0.003 s
% 0.19/0.50 % (4209)Instructions burned: 2 (million)
% 0.19/0.50 % (4209)------------------------------
% 0.19/0.50 % (4209)------------------------------
% 0.19/0.50 % (4216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (4216)Termination reason: Unknown
% 0.19/0.50 % (4216)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (4216)Memory used [KB]: 5500
% 0.19/0.50 % (4216)Time elapsed: 0.096 s
% 0.19/0.50 % (4216)Instructions burned: 8 (million)
% 0.19/0.50 % (4216)------------------------------
% 0.19/0.50 % (4216)------------------------------
% 0.19/0.50 % (4220)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.51 % (4223)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.51 % (4224)First to succeed.
% 0.19/0.51 % (4210)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.51 % (4224)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (4224)------------------------------
% 0.19/0.51 % (4224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (4224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (4224)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (4224)Memory used [KB]: 1023
% 0.19/0.51 % (4224)Time elapsed: 0.120 s
% 0.19/0.51 % (4224)Instructions burned: 11 (million)
% 0.19/0.51 % (4224)------------------------------
% 0.19/0.51 % (4224)------------------------------
% 0.19/0.51 % (4208)Success in time 0.17 s
%------------------------------------------------------------------------------