TSTP Solution File: DAT084_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : DAT084_1 : TPTP v8.1.2. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 11:04:01 EDT 2024
% Result : Theorem 0.17s 0.35s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 37 ( 16 unt; 19 typ; 0 def)
% Number of atoms : 20 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 1 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 40 ( 6 atm; 9 fun; 15 num; 10 var)
% Number of types : 3 ( 1 usr; 1 ari)
% Number of type conns : 29 ( 16 >; 13 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 13 !; 5 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
list: $tType ).
tff(func_def_0,type,
nil: list ).
tff(func_def_1,type,
cons: ( $int * list ) > list ).
tff(func_def_2,type,
head: list > $int ).
tff(func_def_3,type,
tail: list > list ).
tff(func_def_5,type,
length: list > $int ).
tff(func_def_8,type,
count: ( $int * list ) > $int ).
tff(func_def_9,type,
append: ( list * list ) > list ).
tff(func_def_11,type,
sK2: list ).
tff(func_def_12,type,
sK3: ( $int * list ) > $int ).
tff(func_def_13,type,
sK4: ( $int * list ) > list ).
tff(func_def_14,type,
sK5: ( $int * list ) > $int ).
tff(func_def_15,type,
sK6: ( $int * list ) > list ).
tff(func_def_16,type,
sK7: ( $int * list ) > $int ).
tff(func_def_17,type,
sK8: ( $int * list ) > list ).
tff(pred_def_1,type,
in: ( $int * list ) > $o ).
tff(pred_def_2,type,
inRange: ( $int * list ) > $o ).
tff(pred_def_6,type,
sP0: ( $int * list ) > $o ).
tff(pred_def_7,type,
sP1: ( $int * list ) > $o ).
tff(f422,plain,
$false,
inference(resolution,[],[f421,f24]) ).
tff(f24,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f421,plain,
$less(length(sK2),length(sK2)),
inference(superposition,[],[f118,f416]) ).
tff(f416,plain,
length(sK2) = $sum(1,length(sK2)),
inference(superposition,[],[f72,f64]) ).
tff(f64,plain,
length(sK2) = length(cons(1,sK2)),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
length(sK2) = length(cons(1,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f32,f48]) ).
tff(f48,plain,
( ? [X0: list] : ( length(X0) = length(cons(1,X0)) )
=> ( length(sK2) = length(cons(1,sK2)) ) ),
introduced(choice_axiom,[]) ).
tff(f32,plain,
? [X0: list] : ( length(X0) = length(cons(1,X0)) ),
inference(flattening,[],[f31]) ).
tff(f31,plain,
~ ~ ? [X0: list] : ( length(X0) = length(cons(1,X0)) ),
inference(rectify,[],[f16]) ).
tff(f16,negated_conjecture,
~ ~ ? [X1: list] : ( length(X1) = length(cons(1,X1)) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
~ ? [X1: list] : ( length(X1) = length(cons(1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).
tff(f72,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(cnf_transformation,[],[f35]) ).
tff(f35,plain,
! [X0: $int,X1: list] : ( length(cons(X0,X1)) = $sum(1,length(X1)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X3: $int,X4: list] : ( length(cons(X3,X4)) = $sum(1,length(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_1) ).
tff(f118,plain,
! [X0: $int] : $less(X0,$sum(1,X0)),
inference(superposition,[],[f113,f19]) ).
tff(f19,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f113,plain,
! [X0: $int] : $less(X0,$sum(X0,1)),
inference(resolution,[],[f28,f24]) ).
tff(f28,plain,
! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) ),
introduced(theory_axiom_147,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : DAT084_1 : TPTP v8.1.2. Released v6.1.0.
% 0.11/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 22:11:40 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (23339)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.33 % (23342)WARNING: value z3 for option sas not known
% 0.17/0.33 % (23344)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)
% 0.17/0.33 % (23340)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.34 % (23341)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.34 % (23343)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.34 % (23346)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)
% 0.17/0.34 % (23342)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)
% 0.17/0.34 % (23340)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.34 % (23340)Terminated due to inappropriate strategy.
% 0.17/0.34 % (23340)------------------------------
% 0.17/0.34 % (23340)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.34 % (23340)Termination reason: Inappropriate
% 0.17/0.34
% 0.17/0.34 % (23340)Memory used [KB]: 803
% 0.17/0.34 % (23345)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)
% 0.17/0.34 % (23340)Time elapsed: 0.002 s
% 0.17/0.34 % (23340)Instructions burned: 3 (million)
% 0.17/0.34 % (23340)------------------------------
% 0.17/0.34 % (23340)------------------------------
% 0.17/0.34 % (23341)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.34 % (23341)Terminated due to inappropriate strategy.
% 0.17/0.34 % (23341)------------------------------
% 0.17/0.34 % (23341)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.34 % (23341)Termination reason: Inappropriate
% 0.17/0.34
% 0.17/0.34 % (23341)Memory used [KB]: 803
% 0.17/0.34 % (23341)Time elapsed: 0.003 s
% 0.17/0.34 % (23341)Instructions burned: 3 (million)
% 0.17/0.34 % (23341)------------------------------
% 0.17/0.34 % (23341)------------------------------
% 0.17/0.34 % (23343)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.34 % (23343)Terminated due to inappropriate strategy.
% 0.17/0.34 % (23343)------------------------------
% 0.17/0.34 % (23343)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.34 % (23343)Termination reason: Inappropriate
% 0.17/0.34
% 0.17/0.34 % (23343)Memory used [KB]: 803
% 0.17/0.34 % (23343)Time elapsed: 0.003 s
% 0.17/0.34 % (23343)Instructions burned: 3 (million)
% 0.17/0.34 % (23343)------------------------------
% 0.17/0.34 % (23343)------------------------------
% 0.17/0.34 % (23345)First to succeed.
% 0.17/0.35 % (23345)Refutation found. Thanks to Tanya!
% 0.17/0.35 % SZS status Theorem for theBenchmark
% 0.17/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35 % (23345)------------------------------
% 0.17/0.35 % (23345)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.35 % (23345)Termination reason: Refutation
% 0.17/0.35
% 0.17/0.35 % (23345)Memory used [KB]: 907
% 0.17/0.35 % (23345)Time elapsed: 0.010 s
% 0.17/0.35 % (23345)Instructions burned: 15 (million)
% 0.17/0.35 % (23345)------------------------------
% 0.17/0.35 % (23345)------------------------------
% 0.17/0.35 % (23339)Success in time 0.024 s
%------------------------------------------------------------------------------