TSTP Solution File: NUM931_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM931_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 : n003.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 08:43:56 EDT 2024
% Result : Theorem 0.19s 0.37s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 51
% Syntax : Number of formulae : 66 ( 11 unt; 46 typ; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 10 |; 1 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 39 ( 28 >; 11 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 3 con; 0-4 aty)
% Number of variables : 67 ( 16 !; 0 ?; 67 :)
% ( 51 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
archimedean_ceiling:
!>[X0: $tType] : ( X0 > int ) ).
tff(func_def_1,type,
archim2085082626_floor:
!>[X0: $tType] : ( X0 > int ) ).
tff(func_def_2,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
nat_tsub: ( int * int ) > int ).
tff(func_def_5,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_6,type,
fFalse: bool ).
tff(func_def_7,type,
fTrue: bool ).
tff(func_def_8,type,
m: int ).
tff(func_def_9,type,
sK2:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_10,type,
sK3:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_11,type,
sK4:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_12,type,
sK5:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_13,type,
sK6:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_14,type,
sK7:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_15,type,
sK8:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_16,type,
sK9:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_17,type,
sK10:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_18,type,
sK11:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_19,type,
sK12:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_20,type,
sK13:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > X0 ) ).
tff(func_def_21,type,
sK14:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_22,type,
sK15:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_23,type,
sK16:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_24,type,
sK17:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_25,type,
sK18:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(func_def_26,type,
sK19:
!>[X0: $tType,X1: $tType] : ( fun(X1,X0) > X1 ) ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
dense_linorder:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
archim1727834104eiling:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(pred_def_15,type,
sP0: ( bool * int * bool ) > $o ).
tff(pred_def_16,type,
sP1: ( bool * int * bool ) > $o ).
tff(f624,plain,
$false,
inference(resolution,[],[f622,f401]) ).
tff(f401,plain,
linorder(int),
inference(cnf_transformation,[],[f106]) ).
tff(f106,axiom,
linorder(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Olinorder) ).
tff(f622,plain,
~ linorder(int),
inference(resolution,[],[f620,f577]) ).
tff(f577,plain,
( ord_less(int,zero_zero(int),m)
| ~ linorder(int) ),
inference(resolution,[],[f427,f392]) ).
tff(f392,plain,
~ ord_less_eq(int,m,zero_zero(int)),
inference(cnf_transformation,[],[f119]) ).
tff(f119,plain,
~ ord_less_eq(int,m,zero_zero(int)),
inference(flattening,[],[f118]) ).
tff(f118,negated_conjecture,
~ ord_less_eq(int,m,zero_zero(int)),
inference(negated_conjecture,[],[f117]) ).
tff(f117,conjecture,
ord_less_eq(int,m,zero_zero(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f427,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ord_less_eq(X0,X2,X1)
| ord_less(X0,X1,X2)
| ~ linorder(X0) ),
inference(cnf_transformation,[],[f244]) ).
tff(f244,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ord_less(X0,X1,X2)
| ord_less_eq(X0,X2,X1) )
| ~ linorder(X0) ),
inference(ennf_transformation,[],[f145]) ).
tff(f145,plain,
! [X0: $tType] :
( linorder(X0)
=> ! [X1: X0,X2: X0] :
( ord_less(X0,X1,X2)
| ord_less_eq(X0,X2,X1) ) ),
inference(rectify,[],[f72]) ).
tff(f72,axiom,
! [X0: $tType] :
( linorder(X0)
=> ! [X9: X0,X2: X0] :
( ord_less(X0,X9,X2)
| ord_less_eq(X0,X2,X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_linorder__le__less__linear) ).
tff(f620,plain,
~ ord_less(int,zero_zero(int),m),
inference(resolution,[],[f490,f408]) ).
tff(f408,plain,
~ ord_less_eq(int,one_one(int),m),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
~ ord_less_eq(int,one_one(int),m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096_126_A1_A_060_061_Am_096) ).
tff(f490,plain,
! [X0: int] :
( ord_less_eq(int,one_one(int),X0)
| ~ ord_less(int,zero_zero(int),X0) ),
inference(cnf_transformation,[],[f359]) ).
tff(f359,plain,
! [X0: int] :
( ( ord_less_eq(int,one_one(int),X0)
| ~ ord_less(int,zero_zero(int),X0) )
& ( ord_less(int,zero_zero(int),X0)
| ~ ord_less_eq(int,one_one(int),X0) ) ),
inference(nnf_transformation,[],[f189]) ).
tff(f189,plain,
! [X0: int] :
( ord_less_eq(int,one_one(int),X0)
<=> ord_less(int,zero_zero(int),X0) ),
inference(rectify,[],[f89]) ).
tff(f89,axiom,
! [X20: int] :
( ord_less_eq(int,one_one(int),X20)
<=> ord_less(int,zero_zero(int),X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_int__one__le__iff__zero__less) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : NUM931_5 : TPTP v8.1.2. Released v6.0.0.
% 0.02/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 14:15:22 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (7741)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (7748)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)
% 0.12/0.36 % (7744)WARNING: value z3 for option sas not known
% 0.12/0.36 % (7743)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (7747)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)
% 0.12/0.36 % (7746)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)
% 0.12/0.36 % (7745)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (7748)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.36 % (7744)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)
% 0.19/0.36 % (7742)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.37 % Exception at run slice level
% 0.19/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.37 % Exception at run slice level
% 0.19/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.37 % (7747)First to succeed.
% 0.19/0.37 % (7747)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7741"
% 0.19/0.37 % (7747)Refutation found. Thanks to Tanya!
% 0.19/0.37 % SZS status Theorem for theBenchmark
% 0.19/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.37 % (7747)------------------------------
% 0.19/0.37 % (7747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.37 % (7747)Termination reason: Refutation
% 0.19/0.37
% 0.19/0.37 % (7747)Memory used [KB]: 1120
% 0.19/0.37 % (7747)Time elapsed: 0.008 s
% 0.19/0.37 % (7747)Instructions burned: 13 (million)
% 0.19/0.37 % (7741)Success in time 0.025 s
%------------------------------------------------------------------------------