TSTP Solution File: DAT022_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT022_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 11:03:29 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 48 ( 12 unt; 8 typ; 0 def)
% Number of atoms : 123 ( 29 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 128 ( 45 ~; 35 |; 33 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 153 ( 37 atm; 5 fun; 56 num; 55 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 : 11 ( 6 usr; 8 con; 0-2 aty)
% Number of variables : 79 ( 65 !; 14 ?; 79 :)
% 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(f1088,plain,
$false,
inference(evaluation,[],[f1022]) ).
tff(f1022,plain,
~ $less(1,2),
inference(backward_demodulation,[],[f282,f982]) ).
tff(f982,plain,
2 = sK2,
inference(resolution,[],[f978,f37]) ).
tff(f37,plain,
in(sK2,sK0),
inference(cnf_transformation,[],[f30]) ).
tff(f30,plain,
( ~ $less(0,sK2)
& in(sK2,sK0)
& ( sK0 = add(2,remove(7,sK1)) )
& ! [X3: $int] :
( $less(0,X3)
| ~ in(X3,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f29,f28]) ).
tff(f28,plain,
( ? [X0: collection,X1: collection] :
( ? [X2: $int] :
( ~ $less(0,X2)
& in(X2,X0) )
& ( add(2,remove(7,X1)) = X0 )
& ! [X3: $int] :
( $less(0,X3)
| ~ in(X3,X1) ) )
=> ( ? [X2: $int] :
( ~ $less(0,X2)
& in(X2,sK0) )
& ( sK0 = add(2,remove(7,sK1)) )
& ! [X3: $int] :
( $less(0,X3)
| ~ in(X3,sK1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f29,plain,
( ? [X2: $int] :
( ~ $less(0,X2)
& in(X2,sK0) )
=> ( ~ $less(0,sK2)
& in(sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f27,plain,
? [X0: collection,X1: collection] :
( ? [X2: $int] :
( ~ $less(0,X2)
& in(X2,X0) )
& ( add(2,remove(7,X1)) = X0 )
& ! [X3: $int] :
( $less(0,X3)
| ~ in(X3,X1) ) ),
inference(rectify,[],[f26]) ).
tff(f26,plain,
? [X0: collection,X1: collection] :
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X0) )
& ( add(2,remove(7,X1)) = X0 )
& ! [X2: $int] :
( $less(0,X2)
| ~ in(X2,X1) ) ),
inference(flattening,[],[f25]) ).
tff(f25,plain,
? [X0: collection,X1: collection] :
( ? [X3: $int] :
( ~ $less(0,X3)
& in(X3,X0) )
& ( add(2,remove(7,X1)) = X0 )
& ! [X2: $int] :
( $less(0,X2)
| ~ in(X2,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,plain,
~ ! [X0: collection,X1: collection] :
( ( ( add(2,remove(7,X1)) = X0 )
& ! [X2: $int] :
( in(X2,X1)
=> $less(0,X2) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $less(0,X3) ) ),
inference(theory_normalization,[],[f7]) ).
tff(f7,negated_conjecture,
~ ! [X0: collection,X1: collection] :
( ( ( add(2,remove(7,X1)) = X0 )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,0) ) ),
inference(negated_conjecture,[],[f6]) ).
tff(f6,conjecture,
! [X0: collection,X1: collection] :
( ( ( add(2,remove(7,X1)) = X0 )
& ! [X2: $int] :
( in(X2,X1)
=> $greater(X2,0) ) )
=> ! [X3: $int] :
( in(X3,X0)
=> $greater(X3,0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(f978,plain,
( ~ in(sK2,sK0)
| ( 2 = sK2 ) ),
inference(resolution,[],[f967,f50]) ).
tff(f50,plain,
~ in(sK2,sK1),
inference(resolution,[],[f35,f38]) ).
tff(f38,plain,
~ $less(0,sK2),
inference(cnf_transformation,[],[f30]) ).
tff(f35,plain,
! [X3: $int] :
( $less(0,X3)
| ~ in(X3,sK1) ),
inference(cnf_transformation,[],[f30]) ).
tff(f967,plain,
! [X0: $int] :
( in(X0,sK1)
| ( 2 = X0 )
| ~ in(X0,sK0) ),
inference(resolution,[],[f964,f43]) ).
tff(f43,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,remove(X2,X1))
| in(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(flattening,[],[f31]) ).
tff(f31,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( ( X0 != X2 )
& in(X0,X1) )
| ~ in(X0,remove(X2,X1)) )
& ( in(X0,remove(X2,X1))
| ( X0 = X2 )
| ~ in(X0,X1) ) ),
inference(nnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 != X2 )
& in(X0,X1) )
<=> in(X0,remove(X2,X1)) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X8: $int,X9: collection,X10: $int] :
( ( ( X8 != X10 )
& in(X8,X9) )
<=> in(X8,remove(X10,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f964,plain,
! [X0: $int] :
( in(X0,remove(7,sK1))
| ~ in(X0,sK0)
| ( 2 = X0 ) ),
inference(superposition,[],[f47,f36]) ).
tff(f36,plain,
sK0 = add(2,remove(7,sK1)),
inference(cnf_transformation,[],[f30]) ).
tff(f47,plain,
! [X2: $int,X0: $int,X1: collection] :
( ~ in(X0,add(X2,X1))
| in(X0,X1)
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f34]) ).
tff(f34,plain,
! [X0: $int,X1: collection,X2: $int] :
( ( ( X0 = X2 )
| in(X0,X1)
| ~ in(X0,add(X2,X1)) )
& ( in(X0,add(X2,X1))
| ( ( X0 != X2 )
& ~ in(X0,X1) ) ) ),
inference(flattening,[],[f33]) ).
tff(f33,plain,
! [X0: $int,X1: collection,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,[],[f24]) ).
tff(f24,plain,
! [X0: $int,X1: collection,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/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f282,plain,
~ $less(1,sK2),
inference(resolution,[],[f269,f112]) ).
tff(f112,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X0) ),
inference(resolution,[],[f15,f14]) ).
tff(f14,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f15,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f269,plain,
$less(sK2,1),
inference(resolution,[],[f106,f38]) ).
tff(f106,plain,
! [X0: $int] :
( $less(0,X0)
| $less(X0,1) ),
inference(superposition,[],[f66,f11]) ).
tff(f11,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f66,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(1,X0))
| $less(X0,X1) ),
inference(superposition,[],[f18,f9]) ).
tff(f9,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f18,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : DAT022_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:12:41 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (22898)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (22901)WARNING: value z3 for option sas not known
% 0.14/0.37 % (22901)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (22899)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (22900)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (22902)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (22903)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (22904)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (22905)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (22899)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (22899)Terminated due to inappropriate strategy.
% 0.14/0.38 % (22899)------------------------------
% 0.14/0.38 % (22899)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (22899)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (22899)Memory used [KB]: 746
% 0.14/0.38 % (22899)Time elapsed: 0.002 s
% 0.14/0.38 % (22899)Instructions burned: 2 (million)
% 0.14/0.38 % (22899)------------------------------
% 0.14/0.38 % (22899)------------------------------
% 0.14/0.38 % (22900)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (22900)Terminated due to inappropriate strategy.
% 0.14/0.38 % (22900)------------------------------
% 0.14/0.38 % (22900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (22900)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (22900)Memory used [KB]: 746
% 0.14/0.38 % (22900)Time elapsed: 0.002 s
% 0.14/0.38 % (22900)Instructions burned: 2 (million)
% 0.14/0.38 % (22900)------------------------------
% 0.14/0.38 % (22900)------------------------------
% 0.14/0.38 % (22902)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (22902)Terminated due to inappropriate strategy.
% 0.14/0.38 % (22902)------------------------------
% 0.14/0.38 % (22902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (22902)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (22902)Memory used [KB]: 746
% 0.14/0.38 % (22902)Time elapsed: 0.002 s
% 0.14/0.38 % (22902)Instructions burned: 2 (million)
% 0.14/0.38 % (22902)------------------------------
% 0.14/0.38 % (22902)------------------------------
% 0.21/0.39 % (22906)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.39 % (22908)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.21/0.39 % (22907)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.21/0.39 % (22906)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.39 % (22906)Terminated due to inappropriate strategy.
% 0.21/0.39 % (22906)------------------------------
% 0.21/0.39 % (22906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (22906)Termination reason: Inappropriate
% 0.21/0.39
% 0.21/0.39 % (22906)Memory used [KB]: 745
% 0.21/0.39 % (22906)Time elapsed: 0.003 s
% 0.21/0.39 % (22906)Instructions burned: 2 (million)
% 0.21/0.39 % (22906)------------------------------
% 0.21/0.39 % (22906)------------------------------
% 0.21/0.40 % (22904)First to succeed.
% 0.21/0.40 % (22904)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (22904)------------------------------
% 0.21/0.40 % (22904)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.40 % (22904)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (22904)Memory used [KB]: 957
% 0.21/0.40 % (22904)Time elapsed: 0.026 s
% 0.21/0.40 % (22904)Instructions burned: 41 (million)
% 0.21/0.40 % (22904)------------------------------
% 0.21/0.40 % (22904)------------------------------
% 0.21/0.40 % (22898)Success in time 0.041 s
%------------------------------------------------------------------------------