TSTP Solution File: LCL755_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL755_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 13:49:10 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 52
% Syntax : Number of formulae : 62 ( 9 unt; 49 typ; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 63 ( 29 >; 34 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 5 con; 0-5 aty)
% Number of variables : 34 ( 10 !; 0 ?; 34 :)
% ( 24 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
dB: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
abs: dB > dB ).
tff(func_def_4,type,
var: nat > dB ).
tff(func_def_5,type,
dB_case:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).
tff(func_def_6,type,
dB_rec:
!>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,fun(X0,fun(X0,X0)))) * fun(dB,fun(X0,X0)) * dB ) > X0 ) ).
tff(func_def_7,type,
lift: ( dB * nat ) > dB ).
tff(func_def_8,type,
liftn: ( nat * dB * nat ) > dB ).
tff(func_def_9,type,
subst: ( dB * dB * nat ) > dB ).
tff(func_def_10,type,
substn: ( dB * dB * nat ) > dB ).
tff(func_def_11,type,
suc: nat > nat ).
tff(func_def_12,type,
nat_case:
!>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).
tff(func_def_13,type,
nat_rec:
!>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > X0 ) ).
tff(func_def_14,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
ia: nat ).
tff(func_def_19,type,
ja: nat ).
tff(func_def_20,type,
ra: dB ).
tff(func_def_21,type,
sK2:
!>[X0: $tType] : ( fun(nat,X0) > nat ) ).
tff(func_def_22,type,
sK3:
!>[X0: $tType] : ( fun(nat,X0) > nat ) ).
tff(func_def_23,type,
sK4: ( nat * nat ) > nat ).
tff(func_def_24,type,
sK5: ( nat * nat ) > nat ).
tff(func_def_25,type,
sK6: ( nat * nat ) > nat ).
tff(func_def_26,type,
sK7: ( nat * nat ) > nat ).
tff(func_def_27,type,
sK8: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_28,type,
sK9: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_29,type,
sK10:
!>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * X0 * fun(nat,X0) ) > nat ) ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
ordere236663937imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
ordere223160158up_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
it: dB > $o ).
tff(pred_def_12,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
pp: bool > $o ).
tff(pred_def_14,type,
sP0: ( fun(nat,bool) * nat ) > $o ).
tff(pred_def_15,type,
sP1: ( nat * nat * fun(nat,fun(nat,bool)) ) > $o ).
tff(f492,plain,
$false,
inference(subsumption_resolution,[],[f491,f331]) ).
tff(f331,plain,
! [X0: nat,X1: nat] : it(subst(ra,var(X0),X1)),
inference(cnf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: nat,X1: nat] : it(subst(ra,var(X0),X1)),
inference(rectify,[],[f112]) ).
tff(f112,axiom,
! [X49: nat,X50: nat] : it(subst(ra,var(X49),X50)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f491,plain,
~ it(subst(ra,var(suc(ia)),suc(ja))),
inference(resolution,[],[f329,f375]) ).
tff(f375,plain,
! [X0: dB] :
( it(abs(X0))
| ~ it(X0) ),
inference(cnf_transformation,[],[f236]) ).
tff(f236,plain,
! [X0: dB] :
( it(abs(X0))
| ~ it(X0) ),
inference(ennf_transformation,[],[f143]) ).
tff(f143,plain,
! [X0: dB] :
( it(X0)
=> it(abs(X0)) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X3: dB] :
( it(X3)
=> it(abs(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Lambda) ).
tff(f329,plain,
~ it(abs(subst(ra,var(suc(ia)),suc(ja)))),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
~ it(abs(subst(ra,var(suc(ia)),suc(ja)))),
inference(flattening,[],[f114]) ).
tff(f114,negated_conjecture,
~ it(abs(subst(ra,var(suc(ia)),suc(ja)))),
inference(negated_conjecture,[],[f113]) ).
tff(f113,conjecture,
it(abs(subst(ra,var(suc(ia)),suc(ja)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LCL755_5 : TPTP v8.1.2. Released v6.0.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n011.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Apr 29 22:49:46 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (18625)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (18631)WARNING: value z3 for option sas not known
% 0.15/0.32 % (18632)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (18629)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (18631)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)
% 0.15/0.32 % (18633)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)
% 0.15/0.32 % (18634)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)
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % Exception at run slice level
% 0.15/0.32 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.15/0.32 % (18631)First to succeed.
% 0.15/0.33 % (18634)Also succeeded, but the first one will report.
% 0.15/0.33 % (18631)Refutation found. Thanks to Tanya!
% 0.15/0.33 % SZS status Theorem for theBenchmark
% 0.15/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.33 % (18631)------------------------------
% 0.15/0.33 % (18631)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.33 % (18631)Termination reason: Refutation
% 0.15/0.33
% 0.15/0.33 % (18631)Memory used [KB]: 1069
% 0.15/0.33 % (18631)Time elapsed: 0.007 s
% 0.15/0.33 % (18631)Instructions burned: 13 (million)
% 0.15/0.33 % (18631)------------------------------
% 0.15/0.33 % (18631)------------------------------
% 0.15/0.33 % (18625)Success in time 0.019 s
%------------------------------------------------------------------------------