TSTP Solution File: ARI012_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ARI012_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n010.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 15:47:10 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 74 ( 16 atm; 13 fun; 23 num; 22 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 ( 0 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 20 !; 2 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
tff(f140,plain,
$false,
inference(evaluation,[],[f134]) ).
tff(f134,plain,
-2 = $sum(-2,-1),
inference(resolution,[],[f124,f82]) ).
tff(f82,plain,
! [X2: $int] :
( ~ $less(X2,-1)
| ( -2 = X2 ) ),
inference(evaluation,[],[f81]) ).
tff(f81,plain,
! [X2: $int] :
( ~ $less(X2,$sum(-2,1))
| ( -2 = X2 ) ),
inference(resolution,[],[f55,f14]) ).
tff(f14,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_166,[]) ).
tff(f55,plain,
! [X0: $int] :
( $less(-2,X0)
| ( -2 = X0 ) ),
inference(resolution,[],[f10,f16]) ).
tff(f16,plain,
! [X0: $int] : ~ $less(X0,-2),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
! [X0: $int] : ~ $less(X0,-2),
inference(ennf_transformation,[],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $int] : $less(X0,-2),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
? [X0: $int] : $less(X0,-2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_n2) ).
tff(f10,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f124,plain,
! [X9: $int] : $less($sum(-2,X9),X9),
inference(evaluation,[],[f121]) ).
tff(f121,plain,
! [X9: $int] :
( ( -2 = 0 )
| $less($sum(-2,X9),X9) ),
inference(superposition,[],[f91,f23]) ).
tff(f23,plain,
! [X0: $int] : ( $sum(0,X0) = X0 ),
inference(superposition,[],[f3,f5]) ).
tff(f5,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_142,[]) ).
tff(f3,plain,
! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
introduced(theory_axiom_140,[]) ).
tff(f91,plain,
! [X14: $int,X13: $int] :
( $less($sum(-2,X13),$sum(X14,X13))
| ( -2 = X14 ) ),
inference(resolution,[],[f11,f55]) ).
tff(f11,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_150,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ARI012=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:10:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (7186)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.48 % (7203)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)
% 0.18/0.49 % (7182)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)
% 0.18/0.49 % (7195)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)
% 0.18/0.49 % (7186)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.49 % (7186)Terminated due to inappropriate strategy.
% 0.18/0.49 % (7186)------------------------------
% 0.18/0.49 % (7186)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (7186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (7186)Termination reason: Inappropriate
% 0.18/0.49
% 0.18/0.49 % (7186)Memory used [KB]: 895
% 0.18/0.49 % (7186)Time elapsed: 0.002 s
% 0.18/0.49 % (7186)Instructions burned: 1 (million)
% 0.18/0.49 % (7186)------------------------------
% 0.18/0.49 % (7186)------------------------------
% 0.18/0.50 % (7196)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)
% 0.18/0.50 % (7204)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)
% 0.18/0.50 % (7185)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.18/0.51 % (7207)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)
% 0.18/0.51 % (7187)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.51 % (7189)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.51 % (7209)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.18/0.51 % (7191)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.51 % (7196)First to succeed.
% 0.18/0.51 % (7188)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.51 % (7188)Instruction limit reached!
% 0.18/0.51 % (7188)------------------------------
% 0.18/0.51 % (7188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7181)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)
% 0.18/0.51 % (7208)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)
% 0.18/0.51 % (7198)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.18/0.52 % (7183)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)
% 0.18/0.52 % (7196)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (7196)------------------------------
% 0.18/0.52 % (7196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (7196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (7196)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (7196)Memory used [KB]: 1023
% 0.18/0.52 % (7196)Time elapsed: 0.075 s
% 0.18/0.52 % (7196)Instructions burned: 6 (million)
% 0.18/0.52 % (7196)------------------------------
% 0.18/0.52 % (7196)------------------------------
% 0.18/0.52 % (7177)Success in time 0.18 s
%------------------------------------------------------------------------------