TSTP Solution File: SCT172_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SCT172_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 May 21 02:51:53 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 61
% Syntax : Number of formulae : 80 ( 18 unt; 56 typ; 0 def)
% Number of atoms : 46 ( 15 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 40 ( 18 ~; 9 |; 10 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 93 ( 46 >; 47 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-6 aty)
% Number of functors : 41 ( 41 usr; 6 con; 0-5 aty)
% Number of variables : 93 ( 31 !; 12 ?; 93 :)
% ( 50 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
arrow_411405190le_alt: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
list: $tType > $tType ).
tff(type_def_8,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
append:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_1,type,
butlast:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_2,type,
dropWhile:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_3,type,
hd:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_4,type,
insert:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_5,type,
last:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_6,type,
linorder_insort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).
tff(func_def_7,type,
linorder_sort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).
tff(func_def_8,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_9,type,
nil:
!>[X0: $tType] : list(X0) ).
tff(func_def_10,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_11,type,
list_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).
tff(func_def_12,type,
maps:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,list(X1)) * list(X0) ) > list(X1) ) ).
tff(func_def_13,type,
rev:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_14,type,
rotate1:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_15,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_16,type,
takeWhile:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > list(X0) ) ).
tff(func_def_17,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_18,type,
fFalse: bool ).
tff(func_def_19,type,
fTrue: bool ).
tff(func_def_20,type,
a: arrow_411405190le_alt ).
tff(func_def_21,type,
sK7: ( arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_411405190le_alt ).
tff(func_def_22,type,
sK8:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_23,type,
sK9:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_24,type,
sK10:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_25,type,
sK11:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_26,type,
sK12:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_27,type,
sK13:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_28,type,
sK14:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_29,type,
sK15:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_30,type,
sK16:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_31,type,
sK17:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_32,type,
sK18:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_33,type,
sK19:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_34,type,
sK20:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).
tff(func_def_35,type,
sK21:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).
tff(func_def_36,type,
sK22: arrow_411405190le_alt ).
tff(func_def_37,type,
sK23: arrow_411405190le_alt ).
tff(func_def_38,type,
sK24: arrow_411405190le_alt ).
tff(pred_def_1,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
equal_equal:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_3,type,
distinct:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_4,type,
list_ex1:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_5,type,
null:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_6,type,
pp: bool > $o ).
tff(pred_def_7,type,
sP0:
!>[X0: $tType] : ( fun(list(X0),bool) > $o ) ).
tff(pred_def_8,type,
sP1:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).
tff(pred_def_9,type,
sP2:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).
tff(pred_def_10,type,
sP3:
!>[X0: $tType] : ( ( list(X0) * list(X0) * X0 * list(X0) ) > $o ) ).
tff(pred_def_11,type,
sP4:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > $o ) ).
tff(pred_def_12,type,
sP5:
!>[X0: $tType] : ( ( list(X0) * list(X0) * X0 * list(X0) ) > $o ) ).
tff(pred_def_13,type,
sP6:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > $o ) ).
tff(f598,plain,
$false,
inference(subsumption_resolution,[],[f597,f539]) ).
tff(f539,plain,
! [X0: $tType,X3: X0,X1: list(X0)] : ~ distinct(X0,cons(X0,X3,cons(X0,X3,X1))),
inference(equality_resolution,[],[f455]) ).
tff(f455,plain,
! [X0: $tType,X2: X0,X3: X0,X1: list(X0)] :
( ( X2 != X3 )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ),
inference(cnf_transformation,[],[f296]) ).
tff(f296,plain,
! [X0: $tType,X1: list(X0),X2: X0,X3: X0] :
( ( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
| ~ distinct(X0,cons(X0,X2,X1))
| ~ distinct(X0,cons(X0,X3,X1))
| ( X2 = X3 ) )
& ( ( distinct(X0,cons(X0,X2,X1))
& distinct(X0,cons(X0,X3,X1))
& ( X2 != X3 ) )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ) ),
inference(flattening,[],[f295]) ).
tff(f295,plain,
! [X0: $tType,X1: list(X0),X2: X0,X3: X0] :
( ( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
| ~ distinct(X0,cons(X0,X2,X1))
| ~ distinct(X0,cons(X0,X3,X1))
| ( X2 = X3 ) )
& ( ( distinct(X0,cons(X0,X2,X1))
& distinct(X0,cons(X0,X3,X1))
& ( X2 != X3 ) )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ) ),
inference(nnf_transformation,[],[f186]) ).
tff(f186,plain,
! [X0: $tType,X1: list(X0),X2: X0,X3: X0] :
( distinct(X0,cons(X0,X3,cons(X0,X2,X1)))
<=> ( distinct(X0,cons(X0,X2,X1))
& distinct(X0,cons(X0,X3,X1))
& ( X2 != X3 ) ) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X0: $tType,X13: list(X0),X14: X0,X12: X0] :
( distinct(X0,cons(X0,X12,cons(X0,X14,X13)))
<=> ( distinct(X0,cons(X0,X14,X13))
& distinct(X0,cons(X0,X12,X13))
& ( X12 != X14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_distinct__length__2__or__more) ).
tff(f597,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,a,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))),
inference(forward_demodulation,[],[f596,f335]) ).
tff(f335,plain,
! [X0: arrow_411405190le_alt] : ( a = X0 ),
inference(cnf_transformation,[],[f205]) ).
tff(f205,plain,
! [X0: arrow_411405190le_alt] : ( a = X0 ),
inference(ennf_transformation,[],[f106]) ).
tff(f106,plain,
~ ? [X0: arrow_411405190le_alt] : ( a != X0 ),
inference(rectify,[],[f105]) ).
tff(f105,negated_conjecture,
~ ? [X44: arrow_411405190le_alt] : ( a != X44 ),
inference(negated_conjecture,[],[f104]) ).
tff(f104,conjecture,
? [X44: arrow_411405190le_alt] : ( a != X44 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f596,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK22,cons(arrow_411405190le_alt,a,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))),
inference(forward_demodulation,[],[f595,f335]) ).
tff(f595,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK22,cons(arrow_411405190le_alt,sK23,insert(arrow_411405190le_alt,a,nil(arrow_411405190le_alt))))),
inference(forward_demodulation,[],[f594,f335]) ).
tff(f594,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK22,cons(arrow_411405190le_alt,sK23,insert(arrow_411405190le_alt,sK24,nil(arrow_411405190le_alt))))),
inference(forward_demodulation,[],[f510,f351]) ).
tff(f351,plain,
! [X0: $tType,X1: X0] : ( cons(X0,X1,nil(X0)) = insert(X0,X1,nil(X0)) ),
inference(cnf_transformation,[],[f117]) ).
tff(f117,plain,
! [X0: $tType,X1: X0] : ( cons(X0,X1,nil(X0)) = insert(X0,X1,nil(X0)) ),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X0: $tType,X8: X0] : ( cons(X0,X8,nil(X0)) = insert(X0,X8,nil(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_insert__Nil) ).
tff(f510,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK22,cons(arrow_411405190le_alt,sK23,cons(arrow_411405190le_alt,sK24,nil(arrow_411405190le_alt))))),
inference(cnf_transformation,[],[f334]) ).
tff(f334,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK22,cons(arrow_411405190le_alt,sK23,cons(arrow_411405190le_alt,sK24,nil(arrow_411405190le_alt))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24])],[f203,f333]) ).
tff(f333,plain,
( ? [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt,X2: arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,cons(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt)))))
=> distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK22,cons(arrow_411405190le_alt,sK23,cons(arrow_411405190le_alt,sK24,nil(arrow_411405190le_alt))))) ),
introduced(choice_axiom,[]) ).
tff(f203,plain,
? [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt,X2: arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,X1,cons(arrow_411405190le_alt,X2,nil(arrow_411405190le_alt))))),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
? [X3: arrow_411405190le_alt,X4: arrow_411405190le_alt,X5: arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X3,cons(arrow_411405190le_alt,X4,cons(arrow_411405190le_alt,X5,nil(arrow_411405190le_alt))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_alt3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT172_5 : TPTP v8.2.0. Released v6.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n016.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 May 20 00:06:22 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (9199)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (9203)WARNING: value z3 for option sas not known
% 0.14/0.37 % (9201)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 % (9204)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (9205)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)
% 0.14/0.37 % (9207)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)
% 0.14/0.37 % (9203)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 % (9206)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)
% 0.14/0.37 % (9200)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (9207)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.38 % Exception at run slice level% Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % Exception at run slice level
% 0.14/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.38 % (9207)First to succeed.
% 0.14/0.38 % (9207)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9199"
% 0.14/0.38 % (9207)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (9207)------------------------------
% 0.14/0.38 % (9207)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (9207)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (9207)Memory used [KB]: 1082
% 0.14/0.38 % (9207)Time elapsed: 0.011 s
% 0.14/0.38 % (9207)Instructions burned: 21 (million)
% 0.14/0.38 % (9199)Success in time 0.029 s
%------------------------------------------------------------------------------