TSTP Solution File: SWW497_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW497_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 : n009.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 17:35:24 EDT 2024
% Result : Theorem 2.81s 0.80s
% Output : Refutation 2.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 63
% Syntax : Number of formulae : 100 ( 30 unt; 53 typ; 0 def)
% Number of atoms : 76 ( 75 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 56 ( 27 ~; 17 |; 7 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 6 ( 5 usr)
% Number of type conns : 23 ( 15 >; 8 *; 0 +; 0 <<)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 8 con; 0-4 aty)
% Number of variables : 87 ( 49 !; 4 ?; 87 :)
% ( 34 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
complex: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
int: $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
real: $tType ).
tff(type_def_10,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
complex1: ( real * real ) > complex ).
tff(func_def_1,type,
complex_case:
!>[X0: $tType] : ( ( fun(real,fun(real,X0)) * complex ) > X0 ) ).
tff(func_def_2,type,
complex_rec:
!>[X0: $tType] : ( ( fun(real,fun(real,X0)) * complex ) > X0 ) ).
tff(func_def_3,type,
fundam1563812824_csqrt: complex > complex ).
tff(func_def_4,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_6,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_7,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_8,type,
bit0: int > int ).
tff(func_def_9,type,
bit1: int > int ).
tff(func_def_10,type,
pls: int ).
tff(func_def_11,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_12,type,
sqrt: real > real ).
tff(func_def_13,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_14,type,
norm_norm:
!>[X0: $tType] : ( X0 > real ) ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
x: real ).
tff(func_def_19,type,
y: real ).
tff(func_def_20,type,
z: complex ).
tff(func_def_21,type,
sK0: real ).
tff(func_def_22,type,
sK1: real ).
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,
power:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
mult_zero:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
no_zero_divisors:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
comm_monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
linord581940658strict:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
real_normed_vector:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
ring_11004092258visors:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_21,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_22,type,
real_n2089651433ebra_1:
!>[X0: $tType] : $o ).
tff(pred_def_23,type,
real_n1866405975lgebra:
!>[X0: $tType] : $o ).
tff(pred_def_24,type,
pp: bool > $o ).
tff(f7678,plain,
$false,
inference(subsumption_resolution,[],[f733,f7636]) ).
tff(f7636,plain,
one_one(real) = plus_plus(real,power_power(real,sK0,number_number_of(nat,bit0(one_one(int)))),power_power(real,sK1,number_number_of(nat,bit0(one_one(int))))),
inference(subsumption_resolution,[],[f7616,f430]) ).
tff(f430,plain,
norm_norm(complex,z) = one_one(real),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
norm_norm(complex,z) = one_one(real),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms) ).
tff(f7616,plain,
( ( norm_norm(complex,z) != one_one(real) )
| ( one_one(real) = plus_plus(real,power_power(real,sK0,number_number_of(nat,bit0(one_one(int)))),power_power(real,sK1,number_number_of(nat,bit0(one_one(int))))) ) ),
inference(superposition,[],[f2510,f435]) ).
tff(f435,plain,
z = complex1(sK0,sK1),
inference(cnf_transformation,[],[f319]) ).
tff(f319,plain,
z = complex1(sK0,sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f262,f318]) ).
tff(f318,plain,
( ? [X0: real,X1: real] : ( z = complex1(X0,X1) )
=> ( z = complex1(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f262,plain,
? [X0: real,X1: real] : ( z = complex1(X0,X1) ),
inference(ennf_transformation,[],[f181]) ).
tff(f181,plain,
~ ! [X0: real,X1: real] : ( z != complex1(X0,X1) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
~ ! [X11: real,X12: real] : ( z != complex1(X11,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17__096_B_Bthesis_O_A_I_B_Bx_Ay_O_Az_A_061_AComplex_Ax_Ay_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) ).
tff(f2510,plain,
! [X0: real,X1: real] :
( ( one_one(real) != norm_norm(complex,complex1(X0,X1)) )
| ( one_one(real) = plus_plus(real,power_power(real,X0,number_number_of(nat,bit0(one_one(int)))),power_power(real,X1,number_number_of(nat,bit0(one_one(int))))) ) ),
inference(superposition,[],[f510,f600]) ).
tff(f600,plain,
! [X0: real,X1: real] : ( norm_norm(complex,complex1(X1,X0)) = sqrt(plus_plus(real,power_power(real,X1,number_number_of(nat,bit0(one_one(int)))),power_power(real,X0,number_number_of(nat,bit0(one_one(int)))))) ),
inference(backward_demodulation,[],[f523,f583]) ).
tff(f583,plain,
bit1(pls) = one_one(int),
inference(superposition,[],[f431,f438]) ).
tff(f438,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f184]) ).
tff(f184,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(rectify,[],[f49]) ).
tff(f49,axiom,
! [X8: int] : ( number_number_of(int,X8) = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_number__of__is__id) ).
tff(f431,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(cnf_transformation,[],[f32]) ).
tff(f32,axiom,
one_one(int) = number_number_of(int,bit1(pls)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_one__is__num__one) ).
tff(f523,plain,
! [X0: real,X1: real] : ( norm_norm(complex,complex1(X1,X0)) = sqrt(plus_plus(real,power_power(real,X1,number_number_of(nat,bit0(bit1(pls)))),power_power(real,X0,number_number_of(nat,bit0(bit1(pls)))))) ),
inference(cnf_transformation,[],[f242]) ).
tff(f242,plain,
! [X0: real,X1: real] : ( norm_norm(complex,complex1(X1,X0)) = sqrt(plus_plus(real,power_power(real,X1,number_number_of(nat,bit0(bit1(pls)))),power_power(real,X0,number_number_of(nat,bit0(bit1(pls)))))) ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X28: real,X20: real] : ( norm_norm(complex,complex1(X20,X28)) = sqrt(plus_plus(real,power_power(real,X20,number_number_of(nat,bit0(bit1(pls)))),power_power(real,X28,number_number_of(nat,bit0(bit1(pls)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_complex__norm) ).
tff(f510,plain,
! [X0: real] :
( ( one_one(real) != sqrt(X0) )
| ( one_one(real) = X0 ) ),
inference(cnf_transformation,[],[f335]) ).
tff(f335,plain,
! [X0: real] :
( ( ( one_one(real) = sqrt(X0) )
| ( one_one(real) != X0 ) )
& ( ( one_one(real) = X0 )
| ( one_one(real) != sqrt(X0) ) ) ),
inference(nnf_transformation,[],[f231]) ).
tff(f231,plain,
! [X0: real] :
( ( one_one(real) = sqrt(X0) )
<=> ( one_one(real) = X0 ) ),
inference(rectify,[],[f64]) ).
tff(f64,axiom,
! [X10: real] :
( ( one_one(real) = sqrt(X10) )
<=> ( one_one(real) = X10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_real__sqrt__eq__1__iff) ).
tff(f733,plain,
one_one(real) != plus_plus(real,power_power(real,sK0,number_number_of(nat,bit0(one_one(int)))),power_power(real,sK1,number_number_of(nat,bit0(one_one(int))))),
inference(backward_demodulation,[],[f717,f731]) ).
tff(f731,plain,
y = sK1,
inference(trivial_inequality_removal,[],[f729]) ).
tff(f729,plain,
( ( z != z )
| ( y = sK1 ) ),
inference(superposition,[],[f705,f435]) ).
tff(f705,plain,
! [X0: real,X1: real] :
( ( z != complex1(X0,X1) )
| ( y = X1 ) ),
inference(superposition,[],[f548,f427]) ).
tff(f427,plain,
z = complex1(x,y),
inference(cnf_transformation,[],[f2]) ).
tff(f2,axiom,
z = complex1(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_z) ).
tff(f548,plain,
! [X2: real,X3: real,X0: real,X1: real] :
( ( complex1(X1,X0) != complex1(X3,X2) )
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f347]) ).
tff(f347,plain,
! [X0: real,X1: real,X2: real,X3: real] :
( ( ( complex1(X1,X0) = complex1(X3,X2) )
| ( X0 != X2 )
| ( X1 != X3 ) )
& ( ( ( X0 = X2 )
& ( X1 = X3 ) )
| ( complex1(X1,X0) != complex1(X3,X2) ) ) ),
inference(flattening,[],[f346]) ).
tff(f346,plain,
! [X0: real,X1: real,X2: real,X3: real] :
( ( ( complex1(X1,X0) = complex1(X3,X2) )
| ( X0 != X2 )
| ( X1 != X3 ) )
& ( ( ( X0 = X2 )
& ( X1 = X3 ) )
| ( complex1(X1,X0) != complex1(X3,X2) ) ) ),
inference(nnf_transformation,[],[f257]) ).
tff(f257,plain,
! [X0: real,X1: real,X2: real,X3: real] :
( ( complex1(X1,X0) = complex1(X3,X2) )
<=> ( ( X0 = X2 )
& ( X1 = X3 ) ) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X21: real,X22: real,X23: real,X24: real] :
( ( complex1(X24,X23) = complex1(X22,X21) )
<=> ( ( X21 = X23 )
& ( X22 = X24 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_complex_Oinject) ).
tff(f717,plain,
one_one(real) != plus_plus(real,power_power(real,sK0,number_number_of(nat,bit0(one_one(int)))),power_power(real,y,number_number_of(nat,bit0(one_one(int))))),
inference(backward_demodulation,[],[f585,f715]) ).
tff(f715,plain,
x = sK0,
inference(trivial_inequality_removal,[],[f713]) ).
tff(f713,plain,
( ( z != z )
| ( x = sK0 ) ),
inference(superposition,[],[f698,f435]) ).
tff(f698,plain,
! [X0: real,X1: real] :
( ( z != complex1(X0,X1) )
| ( x = X0 ) ),
inference(superposition,[],[f547,f427]) ).
tff(f547,plain,
! [X2: real,X3: real,X0: real,X1: real] :
( ( complex1(X1,X0) != complex1(X3,X2) )
| ( X1 = X3 ) ),
inference(cnf_transformation,[],[f347]) ).
tff(f585,plain,
one_one(real) != plus_plus(real,power_power(real,x,number_number_of(nat,bit0(one_one(int)))),power_power(real,y,number_number_of(nat,bit0(one_one(int))))),
inference(backward_demodulation,[],[f348,f583]) ).
tff(f348,plain,
one_one(real) != plus_plus(real,power_power(real,x,number_number_of(nat,bit0(bit1(pls)))),power_power(real,y,number_number_of(nat,bit0(bit1(pls))))),
inference(cnf_transformation,[],[f180]) ).
tff(f180,plain,
one_one(real) != plus_plus(real,power_power(real,x,number_number_of(nat,bit0(bit1(pls)))),power_power(real,y,number_number_of(nat,bit0(bit1(pls))))),
inference(flattening,[],[f179]) ).
tff(f179,negated_conjecture,
( ~ one_one(real) = plus_plus(real,power_power(real,x,number_number_of(nat,bit0(bit1(pls)))),power_power(real,y,number_number_of(nat,bit0(bit1(pls))))) ),
inference(negated_conjecture,[],[f178]) ).
tff(f178,conjecture,
one_one(real) = plus_plus(real,power_power(real,x,number_number_of(nat,bit0(bit1(pls)))),power_power(real,y,number_number_of(nat,bit0(bit1(pls))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SWW497_5 : TPTP v8.1.2. Released v6.0.0.
% 0.14/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n009.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 03:06:56 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.38 % (21564)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (21567)WARNING: value z3 for option sas not known
% 0.14/0.40 % (21566)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (21568)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (21565)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 % (21567)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)
% 0.14/0.40 % (21569)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)
% 0.14/0.40 % (21570)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)
% 0.14/0.40 % (21571)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)
% 0.14/0.41 % (21571)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.41 % Exception at run slice level
% 0.14/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.41 % Exception at run slice level
% 0.14/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.41 % Exception at run slice level
% 0.14/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.42 % (21572)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.14/0.42 % (21573)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.14/0.42 % (21574)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.14/0.43 % (21572)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.43 % (21573)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.14/0.43 % Exception at run slice level
% 0.14/0.43 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.14/0.44 % (21575)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 2.81/0.80 % (21574)First to succeed.
% 2.81/0.80 % (21574)Refutation found. Thanks to Tanya!
% 2.81/0.80 % SZS status Theorem for theBenchmark
% 2.81/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.81/0.80 % (21574)------------------------------
% 2.81/0.80 % (21574)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.81/0.80 % (21574)Termination reason: Refutation
% 2.81/0.80
% 2.81/0.80 % (21574)Memory used [KB]: 4950
% 2.81/0.80 % (21574)Time elapsed: 0.378 s
% 2.81/0.80 % (21574)Instructions burned: 1115 (million)
% 2.81/0.80 % (21574)------------------------------
% 2.81/0.80 % (21574)------------------------------
% 2.81/0.80 % (21564)Success in time 0.4 s
%------------------------------------------------------------------------------