TSTP Solution File: NUM958_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM958_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 : n032.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 14:39:17 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 60
% Syntax : Number of formulae : 91 ( 59 unt; 32 typ; 0 def)
% Number of atoms : 59 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 4 ( 3 usr)
% Number of type conns : 18 ( 12 >; 6 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 17 ( 0 !; 0 ?; 17 :)
% ( 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,
minus_minus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > 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,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_9,type,
fFalse: bool ).
tff(func_def_10,type,
fTrue: bool ).
tff(func_def_11,type,
m: int ).
tff(func_def_12,type,
s: int ).
tff(func_def_13,type,
t: int ).
tff(func_def_14,type,
sK0: int ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
zprime: int > $o ).
tff(pred_def_11,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_12,type,
dvd_dvd:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_13,type,
twoSqu1567020053sum2sq: int > $o ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(f424,plain,
$false,
inference(global_subsumption,[],[f276,f277,f278,f279,f280,f281,f282,f283,f284,f285,f286,f287,f288,f289,f290,f291,f292,f293,f294,f295,f296,f297,f298,f299,f300,f302,f303,f304]) ).
tff(f304,plain,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_t) ).
tff(f303,plain,
dvd_dvd(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int))),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
dvd_dvd(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14__0964_A_K_Am_A_L_A1_Advd_As_A_094_A2_A_L_A1_096) ).
tff(f302,plain,
ord_less(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),t),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
ord_less(int,minus_minus(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),one_one(int)),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__0964_A_K_Am_A_L_A1_A_N_A1_A_060_At_096) ).
tff(f300,plain,
~ ord_less(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
~ ord_less(int,t,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_126_At_A_060_A4_A_K_Am_A_L_A1_096) ).
tff(f299,plain,
zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
zprime(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_p) ).
tff(f298,plain,
number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(cnf_transformation,[],[f55]) ).
tff(f55,axiom,
number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_nat__1__add__1) ).
tff(f297,plain,
number_number_of(nat,bit1(pls)) = one_one(nat),
inference(cnf_transformation,[],[f75]) ).
tff(f75,axiom,
number_number_of(nat,bit1(pls)) = one_one(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_Numeral1__eq1__nat) ).
tff(f296,plain,
number_number_of(nat,bit1(pls)) = one_one(nat),
inference(cnf_transformation,[],[f50]) ).
tff(f50,axiom,
number_number_of(nat,bit1(pls)) = one_one(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_nat__numeral__1__eq__1) ).
tff(f295,plain,
zprime(number_number_of(int,bit0(bit1(pls)))),
inference(cnf_transformation,[],[f76]) ).
tff(f76,axiom,
zprime(number_number_of(int,bit0(bit1(pls)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_zprime__2) ).
tff(f294,plain,
pls = bit0(pls),
inference(cnf_transformation,[],[f29]) ).
tff(f29,axiom,
pls = bit0(pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_Bit0__Pls) ).
tff(f293,plain,
~ ord_less(int,pls,pls),
inference(cnf_transformation,[],[f31]) ).
tff(f31,axiom,
~ ord_less(int,pls,pls),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_rel__simps_I2_J) ).
tff(f292,plain,
number(int),
inference(cnf_transformation,[],[f107]) ).
tff(f107,axiom,
number(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber) ).
tff(f291,plain,
number(nat),
inference(cnf_transformation,[],[f112]) ).
tff(f112,axiom,
number(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Int_Onumber) ).
tff(f290,plain,
monoid_mult(int),
inference(cnf_transformation,[],[f101]) ).
tff(f101,axiom,
monoid_mult(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Omonoid__mult) ).
tff(f289,plain,
semiring(int),
inference(cnf_transformation,[],[f105]) ).
tff(f105,axiom,
semiring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Osemiring) ).
tff(f288,plain,
semiring(nat),
inference(cnf_transformation,[],[f111]) ).
tff(f111,axiom,
semiring(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Rings_Osemiring) ).
tff(f287,plain,
monoid_mult(nat),
inference(cnf_transformation,[],[f109]) ).
tff(f109,axiom,
monoid_mult(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Groups_Omonoid__mult) ).
tff(f286,plain,
semiring_1(int),
inference(cnf_transformation,[],[f102]) ).
tff(f102,axiom,
semiring_1(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Osemiring__1) ).
tff(f285,plain,
number_semiring(int),
inference(cnf_transformation,[],[f100]) ).
tff(f100,axiom,
number_semiring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__semiring) ).
tff(f284,plain,
semiring_1(nat),
inference(cnf_transformation,[],[f110]) ).
tff(f110,axiom,
semiring_1(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Rings_Osemiring__1) ).
tff(f283,plain,
number_semiring(nat),
inference(cnf_transformation,[],[f108]) ).
tff(f108,axiom,
number_semiring(nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Nat_Onat___Int_Onumber__semiring) ).
tff(f282,plain,
number_ring(int),
inference(cnf_transformation,[],[f104]) ).
tff(f104,axiom,
number_ring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f281,plain,
linordered_idom(int),
inference(cnf_transformation,[],[f99]) ).
tff(f99,axiom,
linordered_idom(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Olinordered__idom) ).
tff(f280,plain,
ring(int),
inference(cnf_transformation,[],[f106]) ).
tff(f106,axiom,
ring(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Oring) ).
tff(f279,plain,
pp(fTrue),
inference(cnf_transformation,[],[f114]) ).
tff(f114,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_2_1_U) ).
tff(f278,plain,
ring_char_0(int),
inference(cnf_transformation,[],[f103]) ).
tff(f103,axiom,
ring_char_0(int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Int_Oint___Int_Oring__char__0) ).
tff(f277,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f113]) ).
tff(f113,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_1_1_U) ).
tff(f276,plain,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) != times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),
inference(cnf_transformation,[],[f117]) ).
tff(f117,plain,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) != times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),
inference(flattening,[],[f116]) ).
tff(f116,negated_conjecture,
( ~ plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t) ),
inference(negated_conjecture,[],[f115]) ).
tff(f115,conjecture,
plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) = times_times(int,plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : NUM958_5 : TPTP v8.1.2. Released v6.0.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Apr 29 23:55:50 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (20637)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (20640)WARNING: value z3 for option sas not known
% 0.11/0.34 % (20640)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)
% 0.11/0.34 % (20644)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)
% 0.11/0.34 % (20641)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (20639)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (20642)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)
% 0.11/0.34 % (20638)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (20643)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)
% 0.11/0.34 % (20644)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.11/0.34 % Exception at run slice level
% 0.11/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.34 % (20640)First to succeed.
% 0.11/0.34 % Exception at run slice level% Exception at run slice level
% 0.11/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.34
% 0.11/0.34 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.11/0.34 % (20644)Also succeeded, but the first one will report.
% 0.11/0.34 % (20640)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (20640)------------------------------
% 0.11/0.34 % (20640)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34 % (20640)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (20640)Memory used [KB]: 1011
% 0.11/0.34 % (20640)Time elapsed: 0.007 s
% 0.11/0.34 % (20640)Instructions burned: 12 (million)
% 0.11/0.34 % (20640)------------------------------
% 0.11/0.34 % (20640)------------------------------
% 0.11/0.34 % (20637)Success in time 0.023 s
%------------------------------------------------------------------------------