TSTP Solution File: DAT022_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : DAT022_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 : n005.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 16:04:39 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 7 unt; 8 typ; 0 def)
% Number of atoms : 128 ( 33 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 138 ( 46 ~; 39 |; 35 &)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 127 ( 25 atm; 0 fun; 52 num; 50 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 6 usr; 7 con; 0-2 aty)
% Number of variables : 78 ( 67 !; 11 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
collection: $tType ).
tff(func_def_0,type,
empty: collection ).
tff(func_def_1,type,
add: ( $int * collection ) > collection ).
tff(func_def_2,type,
remove: ( $int * collection ) > collection ).
tff(func_def_9,type,
sK0: collection ).
tff(func_def_10,type,
sK1: collection ).
tff(func_def_11,type,
sK2: $int ).
tff(pred_def_1,type,
in: ( $int * collection ) > $o ).
tff(f270,plain,
$false,
inference(evaluation,[],[f268]) ).
tff(f268,plain,
~ $less(0,2),
inference(superposition,[],[f48,f263]) ).
tff(f263,plain,
2 = sK2,
inference(subsumption_resolution,[],[f262,f48]) ).
tff(f262,plain,
( ( 2 = sK2 )
| $less(0,sK2) ),
inference(resolution,[],[f203,f55]) ).
tff(f55,plain,
! [X2: $int] :
( in(X2,sK0)
| $less(0,X2) ),
inference(consistent_polarity_flipping,[],[f49]) ).
tff(f49,plain,
! [X2: $int] :
( ~ in(X2,sK0)
| $less(0,X2) ),
inference(cnf_transformation,[],[f37]) ).
tff(f37,plain,
( ( sK1 = add(2,remove(7,sK0)) )
& ! [X2: $int] :
( ~ in(X2,sK0)
| $less(0,X2) )
& ~ $less(0,sK2)
& in(sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f36,f35]) ).
tff(f35,plain,
( ? [X0: collection,X1: collection] :
( ( add(2,remove(7,X0)) = X1 )
& ! [X2: $int] :
( ~ in(X2,X0)
| $less(0,X2) )
& ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X1) ) )
=> ( ( sK1 = add(2,remove(7,sK0)) )
& ! [X2: $int] :
( ~ in(X2,sK0)
| $less(0,X2) )
& ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f36,plain,
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,sK1) )
=> ( ~ $less(0,sK2)
& in(sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f27,plain,
? [X0: collection,X1: collection] :
( ( add(2,remove(7,X0)) = X1 )
& ! [X2: $int] :
( ~ in(X2,X0)
| $less(0,X2) )
& ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X1) ) ),
inference(flattening,[],[f26]) ).
tff(f26,plain,
? [X1: collection,X0: collection] :
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X1) )
& ( add(2,remove(7,X0)) = X1 )
& ! [X2: $int] :
( ~ in(X2,X0)
| $less(0,X2) ) ),
inference(ennf_transformation,[],[f23]) ).
tff(f23,plain,
~ ! [X1: collection,X0: collection] :
( ( ( add(2,remove(7,X0)) = X1 )
& ! [X2: $int] :
( in(X2,X0)
=> $less(0,X2) ) )
=> ! [X3: $int] :
( in(X3,X1)
=> $less(0,X3) ) ),
inference(rectify,[],[f8]) ).
tff(f8,plain,
~ ! [X1: collection,X0: collection] :
( ( ! [X2: $int] :
( in(X2,X1)
=> $less(0,X2) )
& ( add(2,remove(7,X1)) = X0 ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $less(0,X3) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X1: collection,X0: collection] :
( ( ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) )
& ( add(2,remove(7,X1)) = X0 ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,0) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X1: collection,X0: collection] :
( ( ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) )
& ( add(2,remove(7,X1)) = X0 ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f203,plain,
( ~ in(sK2,sK0)
| ( 2 = sK2 ) ),
inference(resolution,[],[f168,f60]) ).
tff(f60,plain,
~ in(sK2,sK1),
inference(consistent_polarity_flipping,[],[f47]) ).
tff(f47,plain,
in(sK2,sK1),
inference(cnf_transformation,[],[f37]) ).
tff(f168,plain,
! [X1: $int] :
( in(X1,sK1)
| ~ in(X1,sK0)
| ( 2 = X1 ) ),
inference(resolution,[],[f165,f59]) ).
tff(f59,plain,
! [X2: collection,X0: $int,X1: $int] :
( in(X0,remove(X1,X2))
| ~ in(X0,X2) ),
inference(consistent_polarity_flipping,[],[f40]) ).
tff(f40,plain,
! [X2: collection,X0: $int,X1: $int] :
( in(X0,X2)
| ~ in(X0,remove(X1,X2)) ),
inference(cnf_transformation,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: $int,X2: collection] :
( ( in(X0,remove(X1,X2))
| ~ in(X0,X2)
| ( X0 = X1 ) )
& ( ( in(X0,X2)
& ( X0 != X1 ) )
| ~ in(X0,remove(X1,X2)) ) ),
inference(rectify,[],[f30]) ).
tff(f30,plain,
! [X1: $int,X2: $int,X0: collection] :
( ( in(X1,remove(X2,X0))
| ~ in(X1,X0)
| ( X1 = X2 ) )
& ( ( in(X1,X0)
& ( X1 != X2 ) )
| ~ in(X1,remove(X2,X0)) ) ),
inference(flattening,[],[f29]) ).
tff(f29,plain,
! [X1: $int,X2: $int,X0: collection] :
( ( in(X1,remove(X2,X0))
| ~ in(X1,X0)
| ( X1 = X2 ) )
& ( ( in(X1,X0)
& ( X1 != X2 ) )
| ~ in(X1,remove(X2,X0)) ) ),
inference(nnf_transformation,[],[f24]) ).
tff(f24,plain,
! [X1: $int,X2: $int,X0: collection] :
( in(X1,remove(X2,X0))
<=> ( in(X1,X0)
& ( X1 != X2 ) ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X9: collection,X8: $int,X10: $int] :
( in(X8,remove(X10,X9))
<=> ( ( X8 != X10 )
& in(X8,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f165,plain,
! [X0: $int] :
( ~ in(X0,remove(7,sK0))
| in(X0,sK1)
| ( 2 = X0 ) ),
inference(superposition,[],[f58,f50]) ).
tff(f50,plain,
sK1 = add(2,remove(7,sK0)),
inference(cnf_transformation,[],[f37]) ).
tff(f58,plain,
! [X2: $int,X0: collection,X1: $int] :
( in(X1,add(X2,X0))
| ( X1 = X2 )
| ~ in(X1,X0) ),
inference(consistent_polarity_flipping,[],[f46]) ).
tff(f46,plain,
! [X2: $int,X0: collection,X1: $int] :
( in(X1,X0)
| ~ in(X1,add(X2,X0))
| ( X1 = X2 ) ),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: collection,X1: $int,X2: $int] :
( ( ( X1 = X2 )
| in(X1,X0)
| ~ in(X1,add(X2,X0)) )
& ( in(X1,add(X2,X0))
| ( ( X1 != X2 )
& ~ in(X1,X0) ) ) ),
inference(rectify,[],[f33]) ).
tff(f33,plain,
! [X1: collection,X0: $int,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(flattening,[],[f32]) ).
tff(f32,plain,
! [X1: collection,X0: $int,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(nnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X1: collection,X0: $int,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1) )
<=> in(X0,add(X2,X1)) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X5: $int,X6: collection,X7: $int] :
( ( ( X5 = X7 )
| in(X5,X6) )
<=> in(X5,add(X7,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f48,plain,
~ $less(0,sK2),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : DAT022=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.12 % 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 : n005.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 20:16:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (13725)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 (2999ds/191324Mi)
% 0.18/0.49 % (13726)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (13736)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.50 % (13733)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (13733)Instruction limit reached!
% 0.18/0.50 % (13733)------------------------------
% 0.18/0.50 % (13733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (13733)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (13733)Termination reason: Unknown
% 0.18/0.50 % (13733)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (13733)Memory used [KB]: 895
% 0.18/0.50 % (13733)Time elapsed: 0.002 s
% 0.18/0.50 % (13733)Instructions burned: 2 (million)
% 0.18/0.50 % (13733)------------------------------
% 0.18/0.50 % (13733)------------------------------
% 0.18/0.50 % (13751)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.50 % (13753)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 (2999ds/177Mi)
% 0.18/0.50 % (13725)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.50 % (13725)Terminated due to inappropriate strategy.
% 0.18/0.50 % (13725)------------------------------
% 0.18/0.50 % (13725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (13725)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (13725)Termination reason: Inappropriate
% 0.18/0.50
% 0.18/0.50 % (13725)Memory used [KB]: 895
% 0.18/0.50 % (13725)Time elapsed: 0.004 s
% 0.18/0.50 % (13725)Instructions burned: 2 (million)
% 0.18/0.50 % (13725)------------------------------
% 0.18/0.50 % (13725)------------------------------
% 0.18/0.50 % (13739)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)
% 0.18/0.50 % (13729)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (13741)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (13745)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 (2999ds/100Mi)
% 0.18/0.51 % (13752)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)
% 0.18/0.51 % (13734)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 (2999ds/51Mi)
% 0.18/0.51 % (13727)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)
% 0.18/0.51 % (13745)First to succeed.
% 0.18/0.51 % (13731)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)
% 0.18/0.51 % (13731)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.51 % (13731)Terminated due to inappropriate strategy.
% 0.18/0.51 % (13731)------------------------------
% 0.18/0.51 % (13731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (13731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (13731)Termination reason: Inappropriate
% 0.18/0.51
% 0.18/0.51 % (13731)Memory used [KB]: 895
% 0.18/0.51 % (13731)Time elapsed: 0.002 s
% 0.18/0.51 % (13731)Instructions burned: 2 (million)
% 0.18/0.51 % (13731)------------------------------
% 0.18/0.51 % (13731)------------------------------
% 0.18/0.51 % (13742)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.51 % (13737)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51 % (13727)Also succeeded, but the first one will report.
% 0.18/0.51 % (13742)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.18/0.51 % (13742)Terminated due to inappropriate strategy.
% 0.18/0.51 % (13742)------------------------------
% 0.18/0.51 % (13742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (13742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (13742)Termination reason: Inappropriate
% 0.18/0.51
% 0.18/0.51 % (13742)Memory used [KB]: 895
% 0.18/0.51 % (13742)Time elapsed: 0.005 s
% 0.18/0.51 % (13742)Instructions burned: 2 (million)
% 0.18/0.51 % (13742)------------------------------
% 0.18/0.51 % (13742)------------------------------
% 0.18/0.52 % (13749)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)
% 0.18/0.52 % (13738)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (13754)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (13743)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52 % (13748)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)
% 0.18/0.52 % (13728)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (13750)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52 % (13740)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)
% 0.18/0.53 % (13746)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.53 % (13735)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (13755)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.53 % (13732)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53 % (13745)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Theorem for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (13745)------------------------------
% 0.18/0.53 % (13745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (13745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (13745)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (13745)Memory used [KB]: 1023
% 0.18/0.53 % (13745)Time elapsed: 0.129 s
% 0.18/0.53 % (13745)Instructions burned: 10 (million)
% 0.18/0.53 % (13745)------------------------------
% 0.18/0.53 % (13745)------------------------------
% 0.18/0.53 % (13722)Success in time 0.195 s
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