TSTP Solution File: ARI601_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI601_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 : n007.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 15:48:40 EDT 2022
% Result : Theorem 0.20s 0.61s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 27 unt; 4 typ; 0 def)
% Number of atoms : 62 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 18 ~; 11 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 153 ( 53 atm; 25 fun; 50 num; 25 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 4 usr; 7 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
f: $int > $int ).
tff(func_def_8,type,
sF0: $int ).
tff(func_def_9,type,
sF1: $int ).
tff(f391,plain,
$false,
inference(subsumption_resolution,[],[f390,f201]) ).
tff(f201,plain,
~ $less(sF0,5),
inference(evaluation,[],[f200]) ).
tff(f200,plain,
~ $less(sF0,$sum(4,1)),
inference(resolution,[],[f168,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_166,[]) ).
tff(f168,plain,
$less(4,sF0),
inference(evaluation,[],[f160]) ).
tff(f160,plain,
$less($sum(3,1),sF0),
inference(superposition,[],[f100,f21]) ).
tff(f21,plain,
$sum(a,1) = sF0,
introduced(function_definition,[]) ).
tff(f100,plain,
! [X0: $int] : $less($sum(3,X0),$sum(a,X0)),
inference(resolution,[],[f12,f20]) ).
tff(f20,plain,
$less(3,a),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( $less(3,a)
& ~ $less(4,f($sum(a,1)))
& ! [X0: $int] : $less(X0,f(X0)) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
( ~ $less(4,f($sum(a,1)))
& $less(3,a)
& ! [X0: $int] : $less(X0,f(X0)) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,plain,
~ ( ! [X0: $int] : $less(X0,f(X0))
=> ( $less(3,a)
=> $less(4,f($sum(a,1))) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ! [X0: $int] : $greater(f(X0),X0)
=> ( $less(3,a)
=> $less(4,f($sum(a,1))) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ! [X0: $int] : $greater(f(X0),X0)
=> ( $less(3,a)
=> $less(4,f($sum(a,1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fX_gt_X_implies_ineq) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f390,plain,
$less(sF0,5),
inference(evaluation,[],[f386]) ).
tff(f386,plain,
$less(sF0,$sum(1,4)),
inference(backward_demodulation,[],[f364,f366]) ).
tff(f366,plain,
4 = sF1,
inference(subsumption_resolution,[],[f355,f235]) ).
tff(f235,plain,
~ $less(sF0,4),
inference(evaluation,[],[f234]) ).
tff(f234,plain,
~ $less(sF0,$sum(3,1)),
inference(resolution,[],[f230,f15]) ).
tff(f230,plain,
$less(3,sF0),
inference(forward_demodulation,[],[f229,f30]) ).
tff(f30,plain,
$sum(1,a) = sF0,
inference(superposition,[],[f4,f21]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f229,plain,
$less(3,$sum(1,a)),
inference(forward_demodulation,[],[f220,f4]) ).
tff(f220,plain,
$less(3,$sum(a,1)),
inference(resolution,[],[f41,f53]) ).
tff(f53,plain,
! [X0: $int] :
( ~ $less(a,X0)
| $less(3,X0) ),
inference(resolution,[],[f10,f20]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f41,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f13,f9]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_147,[]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_152,[]) ).
tff(f355,plain,
( $less(sF0,4)
| ( 4 = sF1 ) ),
inference(resolution,[],[f56,f61]) ).
tff(f61,plain,
( $less(sF1,4)
| ( 4 = sF1 ) ),
inference(resolution,[],[f11,f23]) ).
tff(f23,plain,
~ $less(4,sF1),
inference(definition_folding,[],[f19,f22,f21]) ).
tff(f22,plain,
f(sF0) = sF1,
introduced(function_definition,[]) ).
tff(f19,plain,
~ $less(4,f($sum(a,1))),
inference(cnf_transformation,[],[f17]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f56,plain,
! [X6: $int] :
( ~ $less(sF1,X6)
| $less(sF0,X6) ),
inference(resolution,[],[f10,f24]) ).
tff(f24,plain,
$less(sF0,sF1),
inference(superposition,[],[f18,f22]) ).
tff(f18,plain,
! [X0: $int] : $less(X0,f(X0)),
inference(cnf_transformation,[],[f17]) ).
tff(f364,plain,
$less(sF0,$sum(1,sF1)),
inference(forward_demodulation,[],[f361,f4]) ).
tff(f361,plain,
$less(sF0,$sum(sF1,1)),
inference(resolution,[],[f56,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI601=1 : TPTP v8.1.0. Released v5.1.0.
% 0.12/0.13 % 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 : n007.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 15:36:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (7086)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (7085)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (7094)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 (2999ds/75Mi)
% 0.20/0.56 % (7101)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 (2999ds/498Mi)
% 0.20/0.56 % (7093)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 (2999ds/68Mi)
% 0.20/0.56 % (7102)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 (2999ds/467Mi)
% 0.20/0.56 % (7085)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.56 % (7085)Terminated due to inappropriate strategy.
% 0.20/0.56 % (7085)------------------------------
% 0.20/0.56 % (7085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (7085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (7085)Termination reason: Inappropriate
% 0.20/0.56
% 0.20/0.56 % (7085)Memory used [KB]: 895
% 0.20/0.56 % (7085)Time elapsed: 0.002 s
% 0.20/0.56 % (7085)Instructions burned: 1 (million)
% 0.20/0.56 % (7085)------------------------------
% 0.20/0.56 % (7085)------------------------------
% 0.20/0.57 % (7086)Instruction limit reached!
% 0.20/0.57 % (7086)------------------------------
% 0.20/0.57 % (7086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (7086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (7086)Termination reason: Unknown
% 0.20/0.57 % (7086)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (7086)Memory used [KB]: 5500
% 0.20/0.57 % (7086)Time elapsed: 0.148 s
% 0.20/0.57 % (7086)Instructions burned: 7 (million)
% 0.20/0.57 % (7086)------------------------------
% 0.20/0.57 % (7086)------------------------------
% 0.20/0.60 % (7083)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.60 % (7081)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 (2999ds/37Mi)
% 0.20/0.60 % (7094)First to succeed.
% 0.20/0.61 % (7094)Refutation found. Thanks to Tanya!
% 0.20/0.61 % SZS status Theorem for theBenchmark
% 0.20/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61 % (7094)------------------------------
% 0.20/0.61 % (7094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (7094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (7094)Termination reason: Refutation
% 0.20/0.61
% 0.20/0.61 % (7094)Memory used [KB]: 1151
% 0.20/0.61 % (7094)Time elapsed: 0.174 s
% 0.20/0.61 % (7094)Instructions burned: 19 (million)
% 0.20/0.61 % (7094)------------------------------
% 0.20/0.61 % (7094)------------------------------
% 0.20/0.61 % (7078)Success in time 0.248 s
%------------------------------------------------------------------------------