TSTP Solution File: NUM932_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM932_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 : n014.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 14:39:14 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 40
% Syntax : Number of formulae : 78 ( 38 unt; 28 typ; 0 def)
% Number of atoms : 66 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 20 ~; 8 |; 2 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 11 ( 8 >; 3 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 57 ( 40 !; 0 ?; 57 :)
% ( 17 !>; 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,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_2,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
bit0: int > int ).
tff(func_def_5,type,
bit1: int > int ).
tff(func_def_6,type,
pls: int ).
tff(func_def_7,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_8,type,
fFalse: bool ).
tff(func_def_9,type,
fTrue: bool ).
tff(func_def_10,type,
m: int ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
ring_char_0:
!>[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,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
ordere236663937imp_le:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
zprime: int > $o ).
tff(pred_def_13,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(f542,plain,
$false,
inference(resolution,[],[f538,f437]) ).
tff(f437,plain,
ord_less_eq(int,m,pls),
inference(forward_demodulation,[],[f300,f297]) ).
tff(f297,plain,
zero_zero(int) = pls,
inference(cnf_transformation,[],[f44]) ).
tff(f44,axiom,
zero_zero(int) = pls,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_Pls__def) ).
tff(f300,plain,
ord_less_eq(int,m,zero_zero(int)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
ord_less_eq(int,m,zero_zero(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096m_A_060_061_A0_096) ).
tff(f538,plain,
~ ord_less_eq(int,m,pls),
inference(backward_demodulation,[],[f529,f537]) ).
tff(f537,plain,
! [X0: int] : ( times_times(int,bit1(pls),X0) = X0 ),
inference(forward_demodulation,[],[f536,f312]) ).
tff(f312,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f122]) ).
tff(f122,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X6: int] : ( number_number_of(int,X6) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_number__of__is__id) ).
tff(f536,plain,
! [X0: int] : ( times_times(int,number_number_of(int,bit1(pls)),X0) = X0 ),
inference(resolution,[],[f334,f285]) ).
tff(f285,plain,
number_ring(int),
inference(cnf_transformation,[],[f103]) ).
tff(f103,axiom,
number_ring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f334,plain,
! [X0: $tType,X1: X0] :
( ~ number_ring(X0)
| ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
inference(cnf_transformation,[],[f202]) ).
tff(f202,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f137]) ).
tff(f137,plain,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
inference(rectify,[],[f68]) ).
tff(f68,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X12: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X12) = X12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_mult__numeral__1) ).
tff(f529,plain,
~ ord_less_eq(int,times_times(int,bit1(pls),m),pls),
inference(resolution,[],[f527,f389]) ).
tff(f389,plain,
! [X0: int] :
( ord_less_eq(int,bit0(X0),pls)
| ~ ord_less_eq(int,X0,pls) ),
inference(cnf_transformation,[],[f265]) ).
tff(f265,plain,
! [X0: int] :
( ( ord_less_eq(int,bit0(X0),pls)
| ~ ord_less_eq(int,X0,pls) )
& ( ord_less_eq(int,X0,pls)
| ~ ord_less_eq(int,bit0(X0),pls) ) ),
inference(nnf_transformation,[],[f164]) ).
tff(f164,plain,
! [X0: int] :
( ord_less_eq(int,bit0(X0),pls)
<=> ord_less_eq(int,X0,pls) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X7: int] :
( ord_less_eq(int,bit0(X7),pls)
<=> ord_less_eq(int,X7,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_rel__simps_I27_J) ).
tff(f527,plain,
~ ord_less_eq(int,bit0(times_times(int,bit1(pls),m)),pls),
inference(resolution,[],[f416,f468]) ).
tff(f468,plain,
~ ord_less_eq(int,bit1(bit0(times_times(int,bit1(pls),m))),bit1(pls)),
inference(forward_demodulation,[],[f466,f314]) ).
tff(f314,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(cnf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(rectify,[],[f53]) ).
tff(f53,axiom,
! [X6: int] : ( plus_plus(int,X6,pls) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_add__Pls__right) ).
tff(f466,plain,
~ ord_less_eq(int,bit1(plus_plus(int,bit0(times_times(int,bit1(pls),m)),pls)),bit1(pls)),
inference(backward_demodulation,[],[f465,f399]) ).
tff(f399,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ),
inference(cnf_transformation,[],[f172]) ).
tff(f172,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X5: int,X6: int] : ( plus_plus(int,bit0(X6),bit1(X5)) = bit1(plus_plus(int,X6,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_add__Bit0__Bit1) ).
tff(f465,plain,
~ ord_less_eq(int,plus_plus(int,bit0(bit0(times_times(int,bit1(pls),m))),bit1(pls)),bit1(pls)),
inference(forward_demodulation,[],[f463,f396]) ).
tff(f396,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(cnf_transformation,[],[f169]) ).
tff(f169,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(rectify,[],[f31]) ).
tff(f31,axiom,
! [X5: int,X6: int] : ( bit0(times_times(int,X6,X5)) = times_times(int,bit0(X6),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_mult__Bit0) ).
tff(f463,plain,
~ ord_less_eq(int,plus_plus(int,bit0(times_times(int,bit0(bit1(pls)),m)),bit1(pls)),bit1(pls)),
inference(backward_demodulation,[],[f445,f396]) ).
tff(f445,plain,
~ ord_less_eq(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),bit1(pls)),bit1(pls)),
inference(backward_demodulation,[],[f441,f444]) ).
tff(f444,plain,
one_one(int) = bit1(pls),
inference(backward_demodulation,[],[f306,f312]) ).
tff(f306,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(cnf_transformation,[],[f71]) ).
tff(f71,axiom,
one_one(int) = number_number_of(int,bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_one__is__num__one) ).
tff(f441,plain,
~ ord_less_eq(int,plus_plus(int,times_times(int,bit0(bit0(bit1(pls))),m),one_one(int)),one_one(int)),
inference(backward_demodulation,[],[f279,f312]) ).
tff(f279,plain,
~ ord_less_eq(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),
inference(cnf_transformation,[],[f119]) ).
tff(f119,plain,
~ ord_less_eq(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),
inference(flattening,[],[f118]) ).
tff(f118,negated_conjecture,
~ ord_less_eq(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),
inference(negated_conjecture,[],[f117]) ).
tff(f117,conjecture,
ord_less_eq(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f416,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,bit1(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f274]) ).
tff(f274,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,bit1(X1),bit1(X0))
| ~ ord_less_eq(int,X1,X0) )
& ( ord_less_eq(int,X1,X0)
| ~ ord_less_eq(int,bit1(X1),bit1(X0)) ) ),
inference(nnf_transformation,[],[f182]) ).
tff(f182,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,bit1(X1),bit1(X0))
<=> ord_less_eq(int,X1,X0) ),
inference(rectify,[],[f51]) ).
tff(f51,axiom,
! [X16: int,X17: int] :
( ord_less_eq(int,bit1(X17),bit1(X16))
<=> ord_less_eq(int,X17,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_less__eq__int__code_I16_J) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM932_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:22:49 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (16095)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (16098)WARNING: value z3 for option sas not known
% 0.13/0.38 % (16099)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (16102)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)
% 0.13/0.38 % (16097)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (16101)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)
% 0.13/0.38 % (16100)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)
% 0.13/0.38 % (16098)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)
% 0.13/0.38 % (16102)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.38 % (16096)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.38 % Exception at run slice level
% 0.13/0.38 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.39 % (16101)First to succeed.
% 0.13/0.39 % (16101)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (16101)------------------------------
% 0.13/0.39 % (16101)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.39 % (16101)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (16101)Memory used [KB]: 1038
% 0.13/0.39 % (16101)Time elapsed: 0.010 s
% 0.13/0.39 % (16101)Instructions burned: 18 (million)
% 0.13/0.39 % (16101)------------------------------
% 0.13/0.39 % (16101)------------------------------
% 0.13/0.39 % (16095)Success in time 0.029 s
%------------------------------------------------------------------------------