TSTP Solution File: NUM994_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM994_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 : 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 May 21 02:15:19 EDT 2024
% Result : Theorem 0.18s 0.38s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 49
% Syntax : Number of formulae : 88 ( 18 unt; 40 typ; 0 def)
% Number of atoms : 81 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 69 ( 36 ~; 22 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 19 ( 11 >; 8 *; 0 +; 0 <<)
% Number of predicates : 28 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 64 ( 37 !; 0 ?; 64 :)
% ( 27 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(func_def_0,type,
abs_abs:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_1,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_3,type,
bit0: int > int ).
tff(func_def_4,type,
bit1: int > int ).
tff(func_def_5,type,
pls: int ).
tff(func_def_6,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_7,type,
fFalse: bool ).
tff(func_def_8,type,
fTrue: bool ).
tff(func_def_9,type,
v: int ).
tff(func_def_10,type,
w: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
mult_zero:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
ordered_ring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linordered_ring:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
no_zero_divisors:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
ordered_ring_abs:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
ordered_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
ordere1490568538miring:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
ring_n68954251visors:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
linord581940658strict:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
ordere453448008miring:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
ordere142940540dd_abs:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_20,type,
pp: bool > $o ).
tff(pred_def_21,type,
sP0:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_22,type,
sP1:
!>[X0: $tType] : $o ).
tff(pred_def_23,type,
sP2:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_24,type,
sP3:
!>[X0: $tType] : $o ).
tff(pred_def_25,type,
sP4: ( bool * int * bool ) > $o ).
tff(pred_def_26,type,
sP5: ( bool * int * bool ) > $o ).
tff(f714,plain,
$false,
inference(resolution,[],[f713,f358]) ).
tff(f358,plain,
ordere142940540dd_abs(int),
inference(cnf_transformation,[],[f98]) ).
tff(f98,axiom,
ordere142940540dd_abs(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Oordered__ab__group__add__abs) ).
tff(f713,plain,
~ ordere142940540dd_abs(int),
inference(resolution,[],[f712,f614]) ).
tff(f614,plain,
! [X0: int] :
( ord_less_eq(int,pls,abs_abs(int,X0))
| ~ ordere142940540dd_abs(int) ),
inference(superposition,[],[f432,f379]) ).
tff(f379,plain,
pls = zero_zero(int),
inference(cnf_transformation,[],[f37]) ).
tff(f37,axiom,
pls = zero_zero(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_Pls__def) ).
tff(f432,plain,
! [X0: $tType,X1: X0] :
( ord_less_eq(X0,zero_zero(X0),abs_abs(X0,X1))
| ~ ordere142940540dd_abs(X0) ),
inference(cnf_transformation,[],[f228]) ).
tff(f228,plain,
! [X0: $tType] :
( ! [X1: X0] : ord_less_eq(X0,zero_zero(X0),abs_abs(X0,X1))
| ~ ordere142940540dd_abs(X0) ),
inference(ennf_transformation,[],[f150]) ).
tff(f150,plain,
! [X0: $tType] :
( ordere142940540dd_abs(X0)
=> ! [X1: X0] : ord_less_eq(X0,zero_zero(X0),abs_abs(X0,X1)) ),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X0: $tType] :
( ordere142940540dd_abs(X0)
=> ! [X9: X0] : ord_less_eq(X0,zero_zero(X0),abs_abs(X0,X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_abs__ge__zero) ).
tff(f712,plain,
~ ord_less_eq(int,pls,abs_abs(int,v)),
inference(resolution,[],[f711,f358]) ).
tff(f711,plain,
( ~ ordere142940540dd_abs(int)
| ~ ord_less_eq(int,pls,abs_abs(int,v)) ),
inference(resolution,[],[f710,f614]) ).
tff(f710,plain,
( ~ ord_less_eq(int,pls,abs_abs(int,w))
| ~ ord_less_eq(int,pls,abs_abs(int,v)) ),
inference(resolution,[],[f709,f583]) ).
tff(f583,plain,
! [X0: int] :
( ord_less_eq(int,pls,bit0(X0))
| ~ ord_less_eq(int,pls,X0) ),
inference(forward_demodulation,[],[f582,f379]) ).
tff(f582,plain,
! [X0: int] :
( ~ ord_less_eq(int,zero_zero(int),X0)
| ord_less_eq(int,pls,bit0(X0)) ),
inference(forward_demodulation,[],[f581,f390]) ).
tff(f390,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f131]) ).
tff(f131,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(rectify,[],[f34]) ).
tff(f34,axiom,
! [X10: int] : ( number_number_of(int,X10) = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_number__of__is__id) ).
tff(f581,plain,
! [X0: int] :
( ord_less_eq(int,pls,bit0(X0))
| ~ ord_less_eq(int,zero_zero(int),number_number_of(int,X0)) ),
inference(forward_demodulation,[],[f580,f379]) ).
tff(f580,plain,
! [X0: int] :
( ord_less_eq(int,zero_zero(int),bit0(X0))
| ~ ord_less_eq(int,zero_zero(int),number_number_of(int,X0)) ),
inference(forward_demodulation,[],[f469,f390]) ).
tff(f469,plain,
! [X0: int] :
( ord_less_eq(int,zero_zero(int),number_number_of(int,bit0(X0)))
| ~ ord_less_eq(int,zero_zero(int),number_number_of(int,X0)) ),
inference(cnf_transformation,[],[f272]) ).
tff(f272,plain,
! [X0: int] :
( ( ord_less_eq(int,zero_zero(int),number_number_of(int,bit1(X0)))
& ord_less_eq(int,zero_zero(int),number_number_of(int,bit0(X0))) )
| ~ ord_less_eq(int,zero_zero(int),number_number_of(int,X0)) ),
inference(ennf_transformation,[],[f179]) ).
tff(f179,plain,
! [X0: int] :
( ord_less_eq(int,zero_zero(int),number_number_of(int,X0))
=> ( ord_less_eq(int,zero_zero(int),number_number_of(int,bit1(X0)))
& ord_less_eq(int,zero_zero(int),number_number_of(int,bit0(X0))) ) ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X21: int] :
( ord_less_eq(int,zero_zero(int),number_number_of(int,X21))
=> ( ord_less_eq(int,zero_zero(int),number_number_of(int,bit1(X21)))
& ord_less_eq(int,zero_zero(int),number_number_of(int,bit0(X21))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_number__of1) ).
tff(f709,plain,
( ~ ord_less_eq(int,pls,bit0(abs_abs(int,v)))
| ~ ord_less_eq(int,pls,abs_abs(int,w)) ),
inference(resolution,[],[f703,f583]) ).
tff(f703,plain,
( ~ ord_less_eq(int,pls,bit0(abs_abs(int,w)))
| ~ ord_less_eq(int,pls,bit0(abs_abs(int,v))) ),
inference(forward_demodulation,[],[f702,f685]) ).
tff(f685,plain,
! [X0: int] : ( bit0(X0) = times_times(int,bit0(bit1(pls)),X0) ),
inference(superposition,[],[f497,f678]) ).
tff(f678,plain,
! [X0: int] : ( times_times(int,bit1(pls),X0) = X0 ),
inference(forward_demodulation,[],[f677,f390]) ).
tff(f677,plain,
! [X0: int] : ( times_times(int,number_number_of(int,bit1(pls)),X0) = X0 ),
inference(resolution,[],[f443,f359]) ).
tff(f359,plain,
number_ring(int),
inference(cnf_transformation,[],[f113]) ).
tff(f113,axiom,
number_ring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f443,plain,
! [X0: $tType,X1: X0] :
( ~ number_ring(X0)
| ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
inference(cnf_transformation,[],[f237]) ).
tff(f237,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f157]) ).
tff(f157,plain,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
inference(rectify,[],[f50]) ).
tff(f50,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X9: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X9) = X9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_mult__numeral__1) ).
tff(f497,plain,
! [X0: int,X1: int] : ( times_times(int,bit0(X1),X0) = bit0(times_times(int,X1,X0)) ),
inference(cnf_transformation,[],[f191]) ).
tff(f191,plain,
! [X0: int,X1: int] : ( times_times(int,bit0(X1),X0) = bit0(times_times(int,X1,X0)) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X11: int,X10: int] : ( times_times(int,bit0(X10),X11) = bit0(times_times(int,X10,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_mult__Bit0) ).
tff(f702,plain,
( ~ ord_less_eq(int,pls,bit0(abs_abs(int,w)))
| ~ ord_less_eq(int,pls,times_times(int,bit0(bit1(pls)),abs_abs(int,v))) ),
inference(backward_demodulation,[],[f575,f685]) ).
tff(f575,plain,
( ~ ord_less_eq(int,pls,times_times(int,bit0(bit1(pls)),abs_abs(int,w)))
| ~ ord_less_eq(int,pls,times_times(int,bit0(bit1(pls)),abs_abs(int,v))) ),
inference(forward_demodulation,[],[f573,f390]) ).
tff(f573,plain,
( ~ ord_less_eq(int,pls,times_times(int,bit0(bit1(pls)),abs_abs(int,v)))
| ~ ord_less_eq(int,pls,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w))) ),
inference(backward_demodulation,[],[f565,f390]) ).
tff(f565,plain,
( ~ ord_less_eq(int,pls,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)))
| ~ ord_less_eq(int,pls,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v))) ),
inference(forward_demodulation,[],[f564,f379]) ).
tff(f564,plain,
( ~ ord_less_eq(int,pls,times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v)))
| ~ ord_less_eq(int,zero_zero(int),times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w))) ),
inference(backward_demodulation,[],[f348,f379]) ).
tff(f348,plain,
( ~ ord_less_eq(int,zero_zero(int),times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)))
| ~ ord_less_eq(int,zero_zero(int),times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v))) ),
inference(cnf_transformation,[],[f209]) ).
tff(f209,plain,
( ~ ord_less_eq(int,zero_zero(int),times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)))
| ~ ord_less_eq(int,zero_zero(int),times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v))) ),
inference(ennf_transformation,[],[f128]) ).
tff(f128,negated_conjecture,
~ ( ord_less_eq(int,zero_zero(int),times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)))
& ord_less_eq(int,zero_zero(int),times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v))) ),
inference(negated_conjecture,[],[f127]) ).
tff(f127,conjecture,
( ord_less_eq(int,zero_zero(int),times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,w)))
& ord_less_eq(int,zero_zero(int),times_times(int,number_number_of(int,bit0(bit1(pls))),abs_abs(int,v))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM994_5 : TPTP v8.2.0. Released v6.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n011.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 : Mon May 20 06:44:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (21075)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.37 % (21078)WARNING: value z3 for option sas not known
% 0.12/0.37 % (21077)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.37 % (21081)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)
% 0.12/0.37 % (21079)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.37 % (21082)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)
% 0.12/0.37 % (21080)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)
% 0.12/0.37 % (21078)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)
% 0.12/0.37 % (21076)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.37 % (21082)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.12/0.37 % Exception at run slice level
% 0.12/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.37 % Exception at run slice level
% 0.12/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.12/0.37 % Exception at run slice level
% 0.12/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.18/0.38 % (21081)First to succeed.
% 0.18/0.38 % (21081)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21075"
% 0.18/0.38 % (21081)Refutation found. Thanks to Tanya!
% 0.18/0.38 % SZS status Theorem for theBenchmark
% 0.18/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.38 % (21081)------------------------------
% 0.18/0.38 % (21081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.38 % (21081)Termination reason: Refutation
% 0.18/0.38
% 0.18/0.38 % (21081)Memory used [KB]: 1126
% 0.18/0.38 % (21081)Time elapsed: 0.013 s
% 0.18/0.38 % (21081)Instructions burned: 22 (million)
% 0.18/0.38 % (21075)Success in time 0.03 s
%------------------------------------------------------------------------------