TSTP Solution File: SCT239_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SCT239_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 : n018.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 : Sun May 5 09:02:31 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 61
% Syntax : Number of formulae : 78 ( 12 unt; 56 typ; 0 def)
% Number of atoms : 48 ( 12 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 44 ( 18 ~; 11 |; 10 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 83 ( 45 >; 38 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 2 prp; 0-5 aty)
% Number of functors : 42 ( 42 usr; 6 con; 0-5 aty)
% Number of variables : 89 ( 34 !; 9 ?; 89 :)
% ( 46 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
arrow_411405190le_alt: $tType ).
tff(type_def_6,type,
arrow_159774573e_indi: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
list: $tType > $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_10,type,
product_prod: ( $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,
f: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) ).
tff(func_def_21,type,
sK3: ( arrow_411405190le_alt * arrow_411405190le_alt ) > arrow_411405190le_alt ).
tff(func_def_22,type,
sK4:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_23,type,
sK5:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_24,type,
sK6:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_25,type,
sK7:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_26,type,
sK8:
!>[X0: $tType] : ( list(X0) > X0 ) ).
tff(func_def_27,type,
sK9:
!>[X0: $tType] : ( list(X0) > list(X0) ) ).
tff(func_def_28,type,
sK10:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_29,type,
sK11:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_30,type,
sK12:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_31,type,
sK13:
!>[X0: $tType] : ( fun(list(X0),bool) > X0 ) ).
tff(func_def_32,type,
sK14:
!>[X0: $tType] : ( fun(list(X0),bool) > list(X0) ) ).
tff(func_def_33,type,
sK15:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_34,type,
sK16:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).
tff(func_def_35,type,
sK17:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > list(X0) ) ).
tff(func_def_36,type,
sK18: arrow_411405190le_alt ).
tff(func_def_37,type,
sK19: arrow_411405190le_alt ).
tff(func_def_38,type,
sK20: arrow_411405190le_alt ).
tff(pred_def_1,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
arrow_1958449194le_IIA: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).
tff(pred_def_3,type,
arrow_2069624013nimity: fun(fun(arrow_159774573e_indi,fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)),fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)) > $o ).
tff(pred_def_4,type,
equal_equal:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_5,type,
distinct:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_6,type,
list_ex1:
!>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).
tff(pred_def_7,type,
null:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_8,type,
pp: bool > $o ).
tff(pred_def_10,type,
sP0:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * list(X0) ) > $o ) ).
tff(pred_def_11,type,
sP1:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > $o ) ).
tff(pred_def_12,type,
sP2:
!>[X0: $tType] : ( ( list(X0) * list(X0) * list(X0) * X0 ) > $o ) ).
tff(f658,plain,
$false,
inference(resolution,[],[f652,f519]) ).
tff(f519,plain,
! [X0: $tType,X3: X0,X1: list(X0)] : ~ distinct(X0,cons(X0,X3,cons(X0,X3,X1))),
inference(equality_resolution,[],[f438]) ).
tff(f438,plain,
! [X0: $tType,X2: X0,X3: X0,X1: list(X0)] :
( ( X2 != X3 )
| ~ distinct(X0,cons(X0,X3,cons(X0,X2,X1))) ),
inference(cnf_transformation,[],[f290]) ).
tff(f290,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,[],[f289]) ).
tff(f289,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,[],[f8]) ).
tff(f8,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_7_distinct__length__2__or__more) ).
tff(f652,plain,
! [X0: arrow_411405190le_alt] : distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,X0,cons(arrow_411405190le_alt,sK19,cons(arrow_411405190le_alt,sK20,nil(arrow_411405190le_alt))))),
inference(superposition,[],[f490,f553]) ).
tff(f553,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] : ( X0 = X1 ),
inference(resolution,[],[f321,f320]) ).
tff(f320,plain,
~ thesis,
inference(cnf_transformation,[],[f107]) ).
tff(f107,plain,
~ thesis,
inference(flattening,[],[f106]) ).
tff(f106,negated_conjecture,
~ thesis,
inference(negated_conjecture,[],[f105]) ).
tff(f105,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f321,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( thesis
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f207]) ).
tff(f207,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( thesis
| ( X0 = X1 ) ),
inference(ennf_transformation,[],[f108]) ).
tff(f108,plain,
! [X0: arrow_411405190le_alt,X1: arrow_411405190le_alt] :
( ( X0 != X1 )
=> thesis ),
inference(rectify,[],[f104]) ).
tff(f104,axiom,
! [X44: arrow_411405190le_alt,X45: arrow_411405190le_alt] :
( ( X44 != X45 )
=> thesis ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f490,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,cons(arrow_411405190le_alt,sK19,cons(arrow_411405190le_alt,sK20,nil(arrow_411405190le_alt))))),
inference(cnf_transformation,[],[f319]) ).
tff(f319,plain,
distinct(arrow_411405190le_alt,cons(arrow_411405190le_alt,sK18,cons(arrow_411405190le_alt,sK19,cons(arrow_411405190le_alt,sK20,nil(arrow_411405190le_alt))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f203,f318]) ).
tff(f318,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,sK18,cons(arrow_411405190le_alt,sK19,cons(arrow_411405190le_alt,sK20,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
% 0.06/0.12 % Problem : SCT239_5 : TPTP v8.1.2. Released v6.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n018.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 : Fri May 3 13:19:31 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (2896)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (2899)WARNING: value z3 for option sas not known
% 0.14/0.37 % (2903)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 % (2900)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (2902)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 % (2899)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 % (2898)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 % (2901)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 % (2897)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (2903)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 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
% 0.21/0.38 % Exception at run slice level
% 0.21/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.38 % Exception at run slice level
% 0.21/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.21/0.39 % (2902)First to succeed.
% 0.21/0.39 % (2902)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2896"
% 0.21/0.39 % (2902)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (2902)------------------------------
% 0.21/0.39 % (2902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (2902)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (2902)Memory used [KB]: 1152
% 0.21/0.39 % (2902)Time elapsed: 0.016 s
% 0.21/0.39 % (2902)Instructions burned: 30 (million)
% 0.21/0.39 % (2896)Success in time 0.029 s
%------------------------------------------------------------------------------