TSTP Solution File: NUM865_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM865_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 : n015.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 18:07:03 EDT 2022
% Result : Theorem 1.51s 0.57s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 11 unt; 7 typ; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 46 ( 9 ~; 0 |; 33 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 103 ( 0 atm; 50 fun; 0 num; 53 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 53 ( 25 !; 28 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_4,type,
sK0: $int ).
tff(func_def_5,type,
sK1: $int ).
tff(func_def_6,type,
sK2: $int ).
tff(func_def_7,type,
sK3: $int ).
tff(func_def_8,type,
sK4: $int ).
tff(func_def_9,type,
sK5: $int ).
tff(func_def_10,type,
sK6: $int ).
tff(f54,plain,
$false,
inference(subsumption_resolution,[],[f53,f24]) ).
tff(f24,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ( $sum(sK0,sK5) = sK4 )
& ( sK1 != sK2 )
& ( sK3 = $sum(sK5,sK6) )
& ( $sum(sK0,sK3) = sK1 )
& ( $sum(sK4,sK6) = sK2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f18,f19]) ).
tff(f19,plain,
( ? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( $sum(X0,X5) = X4 )
& ( X1 != X2 )
& ( $sum(X5,X6) = X3 )
& ( $sum(X0,X3) = X1 )
& ( $sum(X4,X6) = X2 ) )
=> ( ( $sum(sK0,sK5) = sK4 )
& ( sK1 != sK2 )
& ( sK3 = $sum(sK5,sK6) )
& ( $sum(sK0,sK3) = sK1 )
& ( $sum(sK4,sK6) = sK2 ) ) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
? [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
( ( $sum(X0,X5) = X4 )
& ( X1 != X2 )
& ( $sum(X5,X6) = X3 )
& ( $sum(X0,X3) = X1 )
& ( $sum(X4,X6) = X2 ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
? [X1: $int,X3: $int,X6: $int,X4: $int,X0: $int,X2: $int,X5: $int] :
( ( $sum(X1,X2) = X0 )
& ( X3 != X6 )
& ( $sum(X2,X5) = X4 )
& ( $sum(X1,X4) = X3 )
& ( $sum(X0,X5) = X6 ) ),
inference(flattening,[],[f16]) ).
tff(f16,plain,
? [X6: $int,X0: $int,X4: $int,X1: $int,X3: $int,X5: $int,X2: $int] :
( ( X3 != X6 )
& ( $sum(X1,X2) = X0 )
& ( $sum(X2,X5) = X4 )
& ( $sum(X0,X5) = X6 )
& ( $sum(X1,X4) = X3 ) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,plain,
~ ! [X6: $int,X0: $int,X4: $int,X1: $int,X3: $int,X5: $int,X2: $int] :
( ( ( $sum(X1,X2) = X0 )
& ( $sum(X2,X5) = X4 )
& ( $sum(X0,X5) = X6 )
& ( $sum(X1,X4) = X3 ) )
=> ( X3 = X6 ) ),
inference(rectify,[],[f2]) ).
tff(f2,negated_conjecture,
~ ! [X3: $int,X0: $int,X1: $int,X6: $int,X5: $int,X2: $int,X4: $int] :
( ( ( $sum(X0,X5) = X6 )
& ( $sum(X0,X1) = X3 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X1,X2) = X5 ) )
=> ( X4 = X6 ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
! [X3: $int,X0: $int,X1: $int,X6: $int,X5: $int,X2: $int,X4: $int] :
( ( ( $sum(X0,X5) = X6 )
& ( $sum(X0,X1) = X3 )
& ( $sum(X3,X2) = X4 )
& ( $sum(X1,X2) = X5 ) )
=> ( X4 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_sum_forall) ).
tff(f53,plain,
sK1 = sK2,
inference(forward_demodulation,[],[f52,f21]) ).
tff(f21,plain,
$sum(sK4,sK6) = sK2,
inference(cnf_transformation,[],[f20]) ).
tff(f52,plain,
$sum(sK4,sK6) = sK1,
inference(forward_demodulation,[],[f46,f22]) ).
tff(f22,plain,
$sum(sK0,sK3) = sK1,
inference(cnf_transformation,[],[f20]) ).
tff(f46,plain,
$sum(sK4,sK6) = $sum(sK0,sK3),
inference(superposition,[],[f30,f23]) ).
tff(f23,plain,
sK3 = $sum(sK5,sK6),
inference(cnf_transformation,[],[f20]) ).
tff(f30,plain,
! [X11: $int] : ( $sum(sK4,X11) = $sum(sK0,$sum(sK5,X11)) ),
inference(superposition,[],[f4,f25]) ).
tff(f25,plain,
$sum(sK0,sK5) = sK4,
inference(cnf_transformation,[],[f20]) ).
tff(f4,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_141,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM865=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % 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 : n015.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 Aug 30 09:19:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % (14192)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)
% 0.19/0.54 % (14192)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.54 % (14192)Terminated due to inappropriate strategy.
% 0.19/0.54 % (14192)------------------------------
% 0.19/0.54 % (14192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (14192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (14192)Termination reason: Inappropriate
% 0.19/0.54
% 0.19/0.54 % (14192)Memory used [KB]: 895
% 0.19/0.54 % (14192)Time elapsed: 0.002 s
% 0.19/0.54 % (14192)Instructions burned: 1 (million)
% 0.19/0.54 % (14192)------------------------------
% 0.19/0.54 % (14192)------------------------------
% 0.19/0.54 % (14208)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)
% 0.19/0.54 % (14201)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)
% 0.19/0.55 % (14200)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)
% 0.19/0.55 % (14193)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (14209)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)
% 0.19/0.55 % (14209)First to succeed.
% 1.51/0.57 % (14193)Instruction limit reached!
% 1.51/0.57 % (14193)------------------------------
% 1.51/0.57 % (14193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57 % (14200)Also succeeded, but the first one will report.
% 1.51/0.57 % (14209)Refutation found. Thanks to Tanya!
% 1.51/0.57 % SZS status Theorem for theBenchmark
% 1.51/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.57 % (14209)------------------------------
% 1.51/0.57 % (14209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.57 % (14209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.57 % (14209)Termination reason: Refutation
% 1.51/0.57
% 1.51/0.57 % (14209)Memory used [KB]: 5500
% 1.51/0.57 % (14209)Time elapsed: 0.073 s
% 1.51/0.57 % (14209)Instructions burned: 4 (million)
% 1.51/0.57 % (14209)------------------------------
% 1.51/0.57 % (14209)------------------------------
% 1.51/0.57 % (14185)Success in time 0.216 s
%------------------------------------------------------------------------------