TSTP Solution File: ARI721_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI721_1 : TPTP v8.1.0. Released v6.3.0.
% 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 15:49:05 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 19 unt; 1 typ; 0 def)
% Number of atoms : 55 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 19 ~; 20 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 171 ( 41 atm; 65 fun; 39 num; 26 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 1 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 24 !; 2 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $real ).
tff(f165,plain,
$false,
inference(subsumption_resolution,[],[f164,f9]) ).
tff(f9,plain,
! [X0: $real] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f164,plain,
$less(sK0,sK0),
inference(evaluation,[],[f163]) ).
tff(f163,plain,
( $less(sK0,sK0)
| ~ $less(0.0,0.5) ),
inference(superposition,[],[f154,f23]) ).
tff(f23,plain,
! [X0: $real] : ( $sum(0.0,X0) = X0 ),
inference(superposition,[],[f4,f6]) ).
tff(f6,plain,
! [X0: $real] : ( $sum(X0,0.0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f4,plain,
! [X0: $real,X1: $real] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f154,plain,
! [X0: $real] :
( $less($sum(X0,sK0),sK0)
| ~ $less(X0,0.5) ),
inference(resolution,[],[f153,f12]) ).
tff(f12,plain,
! [X2: $real,X0: $real,X1: $real] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(theory_axiom_150,[]) ).
tff(f153,plain,
! [X0: $real] :
( ~ $less(X0,$sum(0.5,sK0))
| $less(X0,sK0) ),
inference(resolution,[],[f149,f10]) ).
tff(f10,plain,
! [X2: $real,X0: $real,X1: $real] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_148,[]) ).
tff(f149,plain,
$less($sum(0.5,sK0),sK0),
inference(evaluation,[],[f145]) ).
tff(f145,plain,
$less($sum(-1.0,$sum(1.5,sK0)),sK0),
inference(superposition,[],[f29,f140]) ).
tff(f140,plain,
sK0 = $floor($sum(1.5,sK0)),
inference(subsumption_resolution,[],[f139,f9]) ).
tff(f139,plain,
( ( sK0 = $floor($sum(1.5,sK0)) )
| $less(sK0,sK0) ),
inference(evaluation,[],[f138]) ).
tff(f138,plain,
( ( sK0 = $floor($sum(1.5,sK0)) )
| $less(sK0,sK0)
| ~ $less(0.0,0.5) ),
inference(superposition,[],[f103,f23]) ).
tff(f103,plain,
! [X0: $real] :
( $less($sum(X0,sK0),sK0)
| ( sK0 = $floor($sum(1.5,sK0)) )
| ~ $less(X0,0.5) ),
inference(resolution,[],[f96,f12]) ).
tff(f96,plain,
! [X0: $real] :
( ~ $less(X0,$sum(0.5,sK0))
| ( sK0 = $floor($sum(1.5,sK0)) )
| $less(X0,sK0) ),
inference(resolution,[],[f88,f10]) ).
tff(f88,plain,
( $less($sum(0.5,sK0),sK0)
| ( sK0 = $floor($sum(1.5,sK0)) ) ),
inference(evaluation,[],[f85]) ).
tff(f85,plain,
( $less($sum($sum(1.5,sK0),$uminus(1.0)),sK0)
| ( sK0 = $floor($sum(1.5,sK0)) ) ),
inference(resolution,[],[f84,f16]) ).
tff(f16,plain,
! [X0: $real] : $less($sum(X0,$uminus(1.0)),$floor(X0)),
introduced(theory_axiom_168,[]) ).
tff(f84,plain,
! [X0: $real] :
( ~ $less(X0,$floor($sum(1.5,sK0)))
| $less(X0,sK0)
| ( sK0 = $floor($sum(1.5,sK0)) ) ),
inference(resolution,[],[f41,f10]) ).
tff(f41,plain,
( $less($floor($sum(1.5,sK0)),sK0)
| ( sK0 = $floor($sum(1.5,sK0)) ) ),
inference(resolution,[],[f11,f21]) ).
tff(f21,plain,
~ $less(sK0,$floor($sum(1.5,sK0))),
inference(forward_demodulation,[],[f20,f4]) ).
tff(f20,plain,
~ $less(sK0,$floor($sum(sK0,1.5))),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
~ $less(sK0,$floor($sum(sK0,1.5))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f17,f18]) ).
tff(f18,plain,
( ? [X0: $real] : ~ $less(X0,$floor($sum(X0,1.5)))
=> ~ $less(sK0,$floor($sum(sK0,1.5))) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
? [X0: $real] : ~ $less(X0,$floor($sum(X0,1.5))),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ! [X0: $real] : $less(X0,$floor($sum(X0,1.5))),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] : $greater($floor($sum(X0,1.5)),X0),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X0: $real] : $greater($floor($sum(X0,1.5)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
tff(f11,plain,
! [X0: $real,X1: $real] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f29,plain,
! [X0: $real] : $less($sum(-1.0,X0),$floor(X0)),
inference(evaluation,[],[f26]) ).
tff(f26,plain,
! [X0: $real] : $less($sum($uminus(1.0),X0),$floor(X0)),
inference(superposition,[],[f16,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ARI721=1 : TPTP v8.1.0. Released v6.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 16:01:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (19831)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50 % (19824)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50 % (19821)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)
% 0.19/0.50 % (19821)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (19839)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.51 % (19821)Terminated due to inappropriate strategy.
% 0.19/0.51 % (19821)------------------------------
% 0.19/0.51 % (19821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (19821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (19821)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (19821)Memory used [KB]: 895
% 0.19/0.51 % (19821)Time elapsed: 0.003 s
% 0.19/0.51 % (19821)Instructions burned: 2 (million)
% 0.19/0.51 % (19821)------------------------------
% 0.19/0.51 % (19821)------------------------------
% 0.19/0.52 % (19836)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)
% 0.19/0.52 % (19847)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)
% 0.19/0.52 % (19848)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.19/0.52 % (19840)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)
% 0.19/0.52 % (19828)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.52 % (19825)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (19823)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.52 % (19843)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.52 % (19845)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.52 % (19844)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.19/0.53 % (19823)First to succeed.
% 0.19/0.53 % (19834)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.53 % (19823)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (19823)------------------------------
% 0.19/0.53 % (19823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19823)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (19823)Memory used [KB]: 1023
% 0.19/0.53 % (19823)Time elapsed: 0.124 s
% 0.19/0.53 % (19823)Instructions burned: 9 (million)
% 0.19/0.53 % (19823)------------------------------
% 0.19/0.53 % (19823)------------------------------
% 0.19/0.53 % (19820)Success in time 0.175 s
%------------------------------------------------------------------------------